{"text":"Question: How many minutes are there between 8:38 PM and 6:19 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1425649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 12982597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 876308 at least 876304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -17971\/4 + 4469. Let f = -89\/4 - l. Put 1, -0.2, f in ascending order.\nAnswer: -0.2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*u + 2*u - 34800 = -8*u. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1a8 + -5?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.26 - -0.36. Let o = 11 - 7. Let u = 2 - o. Which is the second biggest value? (a) 0.3 (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -2*x**2 + 14*x + 8. What is the remainder when 38 is divided by z(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (4 + 104)*(-166)\/4233 + (1 - -3)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 10 (base 3) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4673759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 3*v + 1 = 2, -2*p + v = 13. Sort -1\/2, p, 2 in descending order.\nAnswer: 2, -1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 34 (base 13) in base 7?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*h + 66 = 34*h + 10. Let j = 4 + -8. What is the closest to -1\/2 in j, h, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 5, o: 3, l: 1, v: 1}. Give prob of picking 2 n and 1 l.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 27048017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g + g + 3*g)*(3*g**2 + g**3 - 3*g**2) + 65*g**3 - 65*g**3 - 10*g**4.\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2 - 0 - -9) + 1. Suppose -3*l = -79 + 1. Let c = l - u. Calculate the remainder when 24 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6 + 5.6. Let l = 0.7 - 5.7. Which is the nearest to 1\/3? (a) -0.3 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -140983485 divided by 46994495.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 75 - 73. Let a = 62.1 + -62.5. What is the closest to 8 in g, -2, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 88*h**2 + 19*h + 14*h - 32*h.\nAnswer: 88*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -4*q**2 - 6*q + 60. Give f(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 43, 116, 283, 592, 1091, 1828, 2851?\n\"Answer: 8*t**3 - t**2 + 20*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-4 - -3)*(-111)\/3?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 1\/3, 2\/17, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be -3 + 15 + -1 - 1. Suppose l*t = 19*t + 27. What is the units digit of 6\/9 - 55\/t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 3*j - 1 - 1 - j**2 + 0. Let u be v(2). Find the third derivative of -3*i**6 + i**2 + i**6 + u*i**6 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 0*v - 9 = 2*j, 0 = -j + 2*v + 13. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3090 and 11622.\nAnswer: 5985330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*3*(sqrt(320) - (sqrt(320) + 0 + sqrt(320))*4 - sqrt(320)))**2 + 2.\nAnswer: 2949122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9 + 6. Sort 4, 2, z in decreasing order.\nAnswer: 4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x**2 + 147880*x - 295752 = 0 for x.\nAnswer: 2, 73938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 1748 divided by -17286\nAnswer: -874\/8643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k when two letters picked without replacement from aaakka?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g + g + g - 3 + 3 - 2*g + (4*g - 6*g + 0*g)*(-5 + 1 + 2) - 1 + 1 - g - 2*g + 3 - 3 + 6*g + 2*g - g)*(5*g**2 + 27*g - 27*g).\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1000 and 166240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1554251 is divided by 12534.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -53*v - 1 = -56*v - 4*i, v - 5*i = -6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nxnyyxynnxyyyyynnyn?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = i**2 - 15*i - 1. Let v(u) = 5*u**2 + 21*u - 4. Give -o(a) - v(a).\nAnswer: -6*a**2 - 6*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*c*d**2*u - 2*c*d**2 + 8*c*u**2 + d**2*u**2 - 14*d**2*u wrt u?\nAnswer: 16*c + 2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the second derivative of p**8\/1344 + p**7\/1260 + p**4\/4 - 4*p. Let a(n) be the third derivative of s(n). Find the third derivative of a(v) wrt v.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6285 (base 12) to base 8.\nAnswer: 25005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be 48\/(-15) - (-2)\/10. Let d(v) = -15*v - 1. Let p be d(r). Let l = p + -11. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 67*u**2 - 8*u**2 + 32*u**2 + 4*u**2.\nAnswer: 95*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8525 divided by -5.\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0568 - -0.7?\nAnswer: 0.7568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sum 20.634 and 0.012.\nAnswer: 20.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 899718, 899721, 899724?\nAnswer: 899727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oddnfeffnn. Give prob of picking 2 d and 1 f.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l + 3*y - 1043, 122 = 2*l - 3*y - 312. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 86.93478 months in millennia?\nAnswer: 0.007244565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnnnznnnnnnn. Give prob of picking 4 n.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -6939087 divided by 1\nAnswer: -6939087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 791.59813 rounded to 0 decimal places?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6 + -2. Solve z = u + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -302*o + 31129 = -301*o. Let b = -3144062\/101 + o. Calculate the common denominator of 41\/6 and b.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*l = -13*l - 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4.232 - 0.232. Which is the second biggest value? (a) -2\/5 (b) f (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 31*u + 77. Calculate b(-5).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -4 (base 15) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -93 - -210. Let n(q) = -q**3 - q**2 - q + 65. Let c be n(0). Suppose 2*k = -3*k + c. Calculate the greatest common divisor of z and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 12672 and 13128192?\nAnswer: 13128192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-77)\/(-14)*(0 + 2). Let p = 18 - x. Find the second derivative of -5*z**5 - z**5 - p*z - 2*z**5 wrt z.\nAnswer: -160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 - -42391a?\nAnswer: 423916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 4, o: 2}. What is prob of picking 3 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 2*w**2 - 2*w + 1. Let g be n(2). Let a = g - 3. Suppose -3*o + 176 = -t + 5*t, a*t = -4*o + 88. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -252 + 206.8. Let m = -1304455.79586 + 1304501. Let f = z + m. What is f rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -a - 10 = a, 3*j - 35*a = -36*a - 76 - 7 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**2 - 9*s - 3. Let j be h(10). Suppose j*t = 4*t + 3. Let v be 2\/(-2)*1*-4. Solve -4*f = v*x - 4, -2*f + 4 + t = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (211 - 211 - 22*n)*(3 - 2 + 6)*(-2 - 5 + 2)*(-2 - 2 + 6) as a*n + v and give a.\nAnswer: 1540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -76\/7610589 and -1\/25368630.\nAnswer: 76105890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 82839.858 to the nearest 100.\nAnswer: 82800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -295.96 less than -4?\nAnswer: 291.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 99\/528*16*(-546)\/(-14)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -2*t**2. Let a(j) = 1363*j**2 - 213. Determine a(o(v)).\nAnswer: 5452*v**4 - 213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -16*d + 34*d - 6*d - 2*d + d + 2*d + (-5*d + 4*d + 3*d)*(2 - 10 + 6).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 5, c: 3, q: 1, f: 2, k: 8}. Give prob of picking 1 q and 1 c.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**3\/((z\/(z\/z**1))\/z)*z**(2\/19)\/(z*z**7*z) assuming z is positive.\nAnswer: z**(-112\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 95441817 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = -117 + 1569. Suppose -93*z + o = -89*z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 761015057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 103607*0.2588.\nAnswer: 26813.4916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 55682.1 nanoseconds in days?\nAnswer: 0.00000000064446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - u = 100, n = -3*n + 5*u + 194. Let b = -23 + n. Is 14 a factor of ((-10)\/4 + 3)*b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 16\/6 + (-8)\/12. Suppose 66 + 14 = o*m + s, 5*s + 40 = m. Factor -75*t**2 + 50*t + 9 + m*t - 36.\nAnswer: -3*(5*t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -61 divided by 333004.\nAnswer: -61\/333004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 659 minutes before 3:23 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k**3 + 31*k**2 - 279*k - 163. What is the smallest common multiple of f(-37) and 42?\nAnswer: 5838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -102110 - -1022?\nAnswer: -101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4 + -1. Let z(n) = n**3 + n**2 + 2*n + 3. Let x be z(-2). Which is the closest to 0? (a) x (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 130 by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.26098 to three dps.\nAnswer: 0.261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 496381*l**2*o**2 - l**2*o - 2*l**2 + 2*l*o**2 - 6*l*o + 2*o - 3384 wrt o?\nAnswer: 992762*l**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 49*q**2. Let p be (-3)\/(-2) + (-117)\/(-18) + -3*1. Let s(y) = 98*y**2. Calculate p*g(f) - 3*s(f).\nAnswer: -49*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 12277, 12276, 12275, 12274, 12273, 12272?\n\"Answer: -v + 12278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -21114 or -0.406?\nAnswer: -0.406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2646162 - 4?\nAnswer: -2646166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13159, 13160, 13161, 13162, 13163?\nAnswer: 13164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/5 - (-22)\/(-110). Suppose h = -31*n + 4839 + 1392. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1120 - -1128. Let g be 44\/(-11) - (-48)\/2. Suppose 3*x = -x - 4*u, 0 = -x - 5*u + g. What is the biggest value in 5, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -69 - -68.5. Put -0.1, u, 0.3 in decreasing order.\nAnswer: 0.3, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 53 divided by 6\nAnswer: 53\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1169131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-56 - 14) + 4\/(1 + 1). Let u = z - -71. Solve 0 - u = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(-40)*-2*1353. Let f = 135 - p. Let n = 291 + -292. Does f = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-24)\/(-5) - 1\/(-5). Suppose 0 = 3*i - 2*i + 5*u - 79, 395 = a*i + 5*u. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -689.8 - -690. Which is the fourth biggest value? (a) -4\/9 (b) 3 (c) j (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71\/3 of a week in hours?\nAnswer: 3976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*d**5 - 6*d**3 + 17*d**2 + 5534*d wrt d?\nAnswer: 100*d**3 - 36*d + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/315)\/(36\/(-54))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 85254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 385 = -5*i, 2*p + 2*p = -2*i + 314. List the prime factors of p.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 98.17 + -102.6. Let w = 87 - 86.57. Let n = w + t. Sort 0.04, 0.2, n in decreasing order.\nAnswer: 0.2, 0.04, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Let x = -35 + 89\/3. Which is smaller: -4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) be the first derivative of 5*n**6\/54 + n**5\/15 - 13*n**4\/4 + 241*n**3\/27 - 28*n**2\/3 + 4*n - 2582. Find f such that z(f) = 0.\nAnswer: -6, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38 a factor of 4434334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*s - 9181 = -676. Calculate the greatest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by -113322394.\nAnswer: 2\/56661197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jmmj when four letters picked without replacement from mmjjmjjmmmmmjm.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 165 + -164.99. Which is the closest to 0.1? (a) -1\/6 (b) -0.04 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*r**2 - 4*r**2 + 5 + 59 + 0*r**2 + r**2 - 2*r**2 - 3*r + 3*r - 2*r**2 + (3*r**2 - 5*r**2 + r**2)*(-1 + 3 - 3).\nAnswer: -4*r**2 + 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from {l: 1, c: 1, r: 8, k: 2, v: 1, p: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -11, 46, -15, -5, 23?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 243.0121 hours in microseconds?\nAnswer: 874843560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 4 = 20. Solve -4*g + u = -4*b, 0*b - 16 = 4*b + 4*g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11471848*f - 5735897*f - 5735951*f - 11*f**2.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w - 3*s - 88 + 16, 5*s + 35 = w. Solve -w*j = 6*j + 84 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 6, h: 7}. Give prob of sequence kk.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*z = 5*l - 7*l + 1285738, -5*z - 642869 = -l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10179*s**3 - 1 - 431*s**2 + 1 - 10181*s**3 + 94*s**2.\nAnswer: -2*s**3 - 337*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v\/v**(1\/7))\/(((v\/(v**(-4\/3)\/v))\/v)\/v*v) assuming v is positive.\nAnswer: v**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 18 - 18 + 23*p**2 + (-7*p + 2*p - 4*p)*(2*p + 0*p + 0*p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/2 - 18\/(-4). Let p be (-2)\/(-1 + -1) - (0 + -2). Put p, l, 2 in increasing order.\nAnswer: 2, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8? (a) -1\/5 (b) 0.2 (c) 0 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 14 and 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - (-4 - (1 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2318.\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -2151, -2144, -2133, -2118?\n\"Answer: 2*n**2 + n - 2154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*z + 2*o + 84, 3*o + 126 = 16*z + 3*z + 5*o + 626 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -644 divided by 161.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*s**2 - s**2 + 6*s**2 + 0*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 19*i - 21157 - 32252. Suppose -2*u + 2268 = 2*x, 4*x + i = 5*u - 2859. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 471524 (base 10) to base 11\nAnswer: 2a2299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/(-9) + (1 - 1). Let t be 0 + 0 + (-2 - -3). Let p be 0\/((t + -2)\/(-1)). Which is the third biggest value? (a) -1\/3 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 140907 times 0.3?\nAnswer: 42272.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1 + 1\/((-9)\/(-15)). Let s be (-1)\/(36\/(-90)*(-10)\/(-8)). Determine z, given that -16*z - g - 70\/3*z**s = 0.\nAnswer: -2\/5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -27 or -28?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, w: 2, g: 3, c: 1}. What is prob of picking 2 g and 1 w?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 89 and 5?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-5)\/195)\/((-127)\/62 + 2). Let m = 4\/13 - z. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1032, 2266, 4314, 7176, 10852?\nAnswer: 15342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:10 AM and 10:10 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 273822 to the power of 1\/2, to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that -5*o**4 + 80*o**3 + 255*o**2 - 1170*o - 3240 = 0.\nAnswer: -3, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 244\/499590*195 + (-2)\/4242*244\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 77020*l + 44 = -2*c + 77024*l, 20 = -2*c + 2*l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -2052*q + 8163. Give g(4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 621590?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.27492 + 0.57492. Sort -4, -0.3, p, 16, 0.9 in increasing order.\nAnswer: -4, -0.3, p, 0.9, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*o**2 - 2508*o + 2508*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be 32\/5*63\/126. Factor -16\/5*g**4 - 76\/5*g**2 - x - 56\/5*g - 2\/5*g**5 - 10*g**3.\nAnswer: -2*(g + 1)**2*(g + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/5 of a gram in milligrams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + (-60 - -59 - -30)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7160*g + 7134*g - 650 = 0. Let j(t) = -13*t - 308. Determine j(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -4 (b) 12 (c) 2\/3 (d) 31393\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -43 - -74. Let q = -58 + k. Let b be (-141)\/q + 4\/(-18). Solve -12 + 32 = -b*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*f - 21 + 706*f**2 - 1399*f**2 + 696*f**2 + f to the form k + i*f**2 + u*f and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 18 + -16. Let t(j) = -4*j - 2*j - g*j. Let p(w) = -w**2. What is t(p(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1 + 3. Suppose -c*a = -3*a - 16. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 19 = -5*b, -b + 3*l + 23 = -2*l. Let k be 179\/4 + -1 - 8\/(-32). Let i = k - 47. Put i, b, -7 in descending order.\nAnswer: b, i, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) be the third derivative of -5*b**6\/6 - 11*b**5\/12 + 9*b**2. Let o(s) = -11*s**3 - 6*s**2. Calculate -55*o(q) + 6*w(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from utttuttttutttttttu. Give prob of picking 1 t and 3 u.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 6*y**2 + 25*y + 15. What is the units digit of r(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y**3 - 4*y**2 - 5*y + 2. Let f be l(7). Suppose -3*r + f = -102. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*a**2 + 66082*a - 33040.\nAnswer: -2*(a - 16520)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 631180505?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor u**2\/4 + 249*u + 18563\/4.\nAnswer: (u + 19)*(u + 977)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*i - 33 = 4*i. Put -2, i, 2 in decreasing order.\nAnswer: 2, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 84.3878 millilitres in litres?\nAnswer: 0.0843878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 2*i**2 + 0 + 5*i**2 - 2*i**2 - 5*i**2 + (2 - 2 + i)*(0*i - 2*i + i) + 26296989*i - 26296989*i + 113*i**2.\nAnswer: 112*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 50 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1583*h**3 - 169 wrt h?\nAnswer: -4749*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 2*i**3 - 12*i**2 + 5*i + 12. Calculate d(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 6*(1 + (sqrt(325) - sqrt(325)*1*-4))*-5.\nAnswer: -750*sqrt(13) - 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j be (16\/(-6))\/((-2)\/(-6)*-2). Solve 3 = -5*f + j*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1*(1 + -1 + 3) and (-45)\/(-9) - 2*3\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((2*sqrt(33) - sqrt(33))*2)\/(sqrt(3) + sqrt(9)\/sqrt(48)) + sqrt(66)\/(sqrt(12)\/sqrt(2)) + 3*sqrt(11)*3)*6*3.\nAnswer: 1044*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8406.6 + 8406. Is 1.84 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(4\/9)*y\/y**16*(y\/y**(6\/13))\/y**(-6))**(7\/8) assuming y is positive.\nAnswer: y**(-3283\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-8)*s)\/((s**(-7\/4)\/s)\/s)*(s\/s**(-7\/2))\/s*s*s*s**7*s assuming s is positive.\nAnswer: s**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1964292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(6)\/(sqrt(15)\/(sqrt(5) + (sqrt(5) - sqrt(80)))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -77\/81982 and -81\/2.\nAnswer: 81982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -25*y + 24*y + 2 + 5. Let h be 9\/(-6)*(5 + -1). Is r(h) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -333*9.\nAnswer: -2997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = z**2 - 6*z + 9. Let y be r(3). Let f = y + 22. Let u = -26 + f. Put -1, u, -2 in descending order.\nAnswer: -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (228\/(-8))\/(213\/(-284))*12\/8?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 8443 - 8995 = -24*x for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 13*m**2 + 475*m + 95. Determine d(-37).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -167860 by -55.\nAnswer: 3052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1419, -1830, -2513, -3468?\nAnswer: -4695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -2891865.93 to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11010110010001101011000001 - 0?\nAnswer: -11010110010001101011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 3*x**2. Suppose 4*r = 7*r + 18. Let i be (-8)\/(-6)*r\/(-4). Let m(o) = 2*o**i + 0*o**2 - 4*o**2. Determine w(m(g)).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 110110011111010011001 (base 2) in base 7?\nAnswer: 21114350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 8864041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/26 - 3624\/(-1560))*70\/6.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -11*d**4*v*w + 3*d**2*v*w + 2*d*v*w + 115*v*w + v with respect to d.\nAnswer: -44*d**3*v*w + 6*d*v*w + 2*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 2.630034 litres in millilitres?\nAnswer: 2630.034","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Suppose h = 4*q - 1, h + 10*q = 5*q + 8. Solve 0 = h*c - 2*c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 95*b - 81 = -255 - 111 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 179, 290, 481, 758, 1127?\nAnswer: 1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -11463 (base 10) in base 6?\nAnswer: -125023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (85\/20*1 - 9\/(-12))\/(-1). Sort j, -0.1, -0.5 in descending order.\nAnswer: -0.1, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + -1 + (-6 - -4) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 22903278 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/(-2) + (-4)\/(-1). Suppose -2*x = a*x - 56. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*o + 123 = 108 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7204 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 267630569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2098 - -2089.27. Let b = 8.1 + x. What is b rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express z**2 - 9*z**2 + 4*z**2 in the form s*z + c + d*z**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 18*i**3 - i**2 + 1. Let d be z(1). Let s(k) be the third derivative of -7\/8*k**4 + 0*k**3 + 0*k - 17*k**2 + 0. Let u(y) = y. What is d*u(c) + s(c)?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + -3 + -25 + 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 122897450.\nAnswer: 2, 5, 13, 71, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -34*i**3 - 3*i**2 + i - 8. Let o be u(3). Round o to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2961978 is divided by 20425?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*h**2 - 5*h**2 - 7*h**2)*(-8 - 5*h + 8)*(0 + 4*h**2 + 0).\nAnswer: 40*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5ee10b68 + 0?\nAnswer: 5ee10b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 3*i = i + 16, -2*i - 8 = -5*k. Determine x so that 9*x + 2*x**2 + k + 5 - 15*x - 1 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 0 = 14. Suppose 0 = -3*z + k*z. Let w(f) = f**3 + f**2 + 5. What are the prime factors of w(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.0389 - 35.9611. Is a less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (6 - 12)*24\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 131*r**2 - 19*r + 34. Let m(h) = -491*h**2 + 74*h - 137. Let o(u) = -15*k(u) - 4*m(u). What is o(4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 64 and 1568?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 257552 - -517?\nAnswer: 258069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -4, -5 in increasing order.\nAnswer: -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 397, -143, -1313, -3335, -6431, -10823?\nAnswer: -16733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2304)*-2*4)\/(sqrt(128) - (sqrt(128) + (sqrt(128) - sqrt(128)*-1)) - sqrt(24)\/(sqrt(6)\/sqrt(2))).\nAnswer: 32*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*2*sqrt(1872))**2 + -3.\nAnswer: 29949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*l**2\/4 + 45*l\/4 + 55\/2.\nAnswer: -5*(l - 11)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-372*o**2 + 0 + 0 + 87*o**2)*(2*o**3 - 4*o**3 + 3*o**3).\nAnswer: -285*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 792461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - -4) + -3 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 133857 a multiple of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) -0.062 (b) 948 (c) -5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Put -6, 77, -48720 in decreasing order.\nAnswer: 77, -6, -48720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -37098 divided by 12366?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*s - s - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (-4*(0 + 2*(-1 + sqrt(1539) - sqrt(1539))*-5*5))**2*-4.\nAnswer: -159998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -668 + 670. Suppose g = -z, -2*g - 15 = -5*g + 2*z. Let s = 1 + -4. Put s, i, g in descending order.\nAnswer: g, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**2\/15 - 766*r\/15.\nAnswer: 2*r*(r - 383)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 5*m = -69, -79*t + 31 = -81*t + 3*m. Let l = 0.1 + 0.9. Sort 2\/113, l, t.\nAnswer: 2\/113, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven thirds of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1578)\/(-5) - 12\/(-30). Suppose 85 - t = 7*i. What is the remainder when 2\/(-11) + (-666)\/i is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -77 divided by -2108?\nAnswer: 77\/2108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 318 - 776 - 5*u**2 + 338 to t*u + x + h*u**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 45 - 46. Let r = -15.7 - -83.74. Let z = r + -68. What is the third biggest value in g, 2, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 43179*n**2*q**3 - 2*n*q**3 + 2*n*q + 31481*q**3 wrt n.\nAnswer: 86358*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-20)\/750)\/((-2)\/(-10)). What is the smallest value in -3, l, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 14*i + 2. Let h(o) be the first derivative of -o**4\/12 + 41*o**2\/2 + 137. Let s(l) be the second derivative of h(l). Give s(z(k)).\nAnswer: -28*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-34)\/1*(-36)\/(-1128) and 99\/20.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 783 is divided by 59?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 5845779, 11691557, 17537333, 23383107, 29228879, 35074649, 40920417?\n\"Answer: -z**2 + 5845781*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2408 and 59598?\nAnswer: 238392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1920511681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/49, 453, -1\/3 in increasing order.\nAnswer: -1\/3, -1\/49, 453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 3*p**3 + 3*p**2 - 2*p + 5. Let b(q) = q**3 - q. Let d(z) = 4*b(z) - y(z). Let k be d(4). Let j be (k\/2)\/(-8 - -5). Is j equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -334 + 336. Find the second derivative of 204*m**f - 335*m**2 + 147*m + 213*m**2 wrt m.\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -0.5, -5, -0.7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x - l + 2 = -2*l, 4*x = -4*l + 16. Let c be ((-2)\/4)\/(3\/6). Suppose 0 = -2*f - 2*y - 6, -4*y - 21 = 5*f - 4. Sort x, f, c in descending order.\nAnswer: x, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -1693, -4 in increasing order.\nAnswer: -1693, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -22 - ((-3)\/(-7) - 93015\/4081)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35897565?\nAnswer: 3, 5, 11, 217561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 1735 = 5*j + 3*w, 0 = j + 5*w - 359. Let v = -109\/30 + -7\/15. Calculate the common denominator of (0 - -1) + j\/(-40) and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12592.13cm in nanometers?\nAnswer: 125921300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = x**2 - x. Let a be t(4). Suppose -a + 4 = 2*b. Let k(j) = -5*j + 3. Let q = -35 - -38. Let w(h) = -4*h + 2. Give b*w(o) + q*k(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6273?\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 32.74909 + -31.7490905. Let d = 1 - p. Round d to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 160950 divided by 2\nAnswer: 80475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(700) - sqrt(700))*6)**2 - -5*(sqrt(700) + (sqrt(700) + -3*sqrt(700) - sqrt(700)))**2.\nAnswer: 114800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in -2, 0.04, -0.027, -2\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p**24)\/(p\/p**(-14)))**(-32) assuming p is positive.\nAnswer: p**(-320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(1188) + sqrt(33) + -1*sqrt(1188))\/((sqrt(132) + 4*sqrt(132)*6 + sqrt(132) + sqrt(132))\/sqrt(12))*-6.\nAnswer: -14*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that 0*r + 2\/5*r**3 + 0 + 154\/5*r**2 = 0.\nAnswer: -77, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 92 and 716036?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3560?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 48 - (27 + -57 + (61 - 31)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 5*f = 71, 0 = -4*l - 0*f + 3*f + 107. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the second derivative of b**6\/30 - 197*b**5\/20 - 5*b**3\/3 + 1284*b**2 - 738*b - 3. What is the first derivative of q(i) wrt i?\nAnswer: 4*i**3 - 591*i**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 10*q**2 - 3*q + 1. Let y be ((-2)\/(-6))\/((-1)\/(-3)). Let g be 5 - y - (-1 + 3). Is u(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45166 = 11*x + 16126. Calculate the highest common factor of 60 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {z: 1, b: 1, t: 2, g: 1, f: 9, x: 1}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -168*j = 4*f - 166*j - 296, f - 5*j - 85 = 0. Let q(i) = 46*i**2 + 2*i + 5. Let o be q(3). Calculate the highest common divisor of f and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -4*b. Suppose -7*f - 99 = -330. What is the remainder when f is divided by m(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -9? (a) 3\/5 (b) -0.6 (c) 0 (d) -5 (e) -4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from {w: 2, t: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 42 by -34649297.\nAnswer: -42\/34649297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*r + 453 - 543 = 0. Let n be 1\/((-3)\/6) - -2. Solve r*f + 8 = -2*p, 3*p + 0*f + f - 1 = n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -u + 1. Suppose -2*z = 2*z - 4. Let l be f(z). Solve -4*k + s + 2*s - 10 = 0, -k + 3*s + 2 = l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -75 - -120. Let v be 231\/y - (-4)\/(-30). Suppose -5*u - 1500 = -v*o, -275 = -o - 3*u - u. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q**2 - 14*q + 17. Let s be r(-19). Let v = -22 - s. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 88544*b**3*n**2 - 17*b**3*n - 7*b**2 - 5*b*n**2 - 2*b - 11*n**2 + 2*n wrt b?\nAnswer: 531264*n**2 - 102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -28*o + 8615. Give n(310).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2348 is divided by 1494.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -1662 (b) -1\/3 (c) 2 (d) 3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 40991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, z: 9, f: 2, j: 5}. What is prob of sequence iz?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 2*y - 2*u = 1860, 0 = 2*y - u - 1858. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -109 by -174.\nAnswer: 109\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x**3 + 19*x**2 - 47*x - 14. Determine g(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 10*c - 2*c**3 - 10*c + (1 - c**2 - 1)*(0 + 2*c + 0) + (-c**3 - c**2 + c**2)*(-3 - 2 + 3) - 2 - c**3 + 2.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u be -2 - (3 - 1 - 10). Find the third derivative of -5*y**3 + 2*y**2 + 3*y**2 - u*y**2 wrt y.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (6*l**2 - 3*l**2 - l**2)*(-281 - 61 + 2) as z*l + c + a*l**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 120 = 2*v, v - 201 = -2*v + w. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (11 - (3 - -5)) + 58422 + 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = -5*z + 17, 2*x - 3*z + 8 + 5 = 0. Calculate the least common multiple of 61 + -5 - x - -2 and 16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 7847 - -6?\nAnswer: 784d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the third derivative of 0*u**3 + 0*u**4 + 0*u - 2*u**2 + 0 - 1\/30*u**5. Let b(x) = -5*x**2. Calculate b(n(k)).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v = 97650*h - 97649*h - 25, h - 67 = -18*v for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 14*g - 24. Let i be b(1). Let n(k) = 2*k**3 + 19*k**2 - 17*k - 43. Calculate the remainder when 88 is divided by n(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 36.73, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100001101010110101000 + 1?\nAnswer: -100001101010110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 361, 747, 1127, 1501, 1869, 2231?\nAnswer: 2587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5 + -1. Let w be z\/1 + (-3 - -2). Solve -4*r = -r + w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.058? (a) -9\/5 (b) 0.07 (c) -0.2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 39016069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 38 - 9 - 123*n**2 - 14 - 14 to a + x*n + k*n**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 16\/328*(-60)\/(-60)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 2, e: 1, x: 1, h: 1, l: 2, u: 1}. What is prob of sequence xuii?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7134135?\nAnswer: 3, 5, 17, 101, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -40*p + 5. Let x be f(-1). Let l = x - 41. What is the third derivative of 20*g**l + 178*g**2 - g - 157*g**2 + g wrt g?\nAnswer: 480*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n - 166 + 30. Differentiate 12 + n - 144*w - 59 - 89 wrt w.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -188770, -370919, -553066, -735211, -917354?\nAnswer: -1099495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 55406 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51*x - 48*x - 53100 = 0. What is x rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -27\/22 and 59\/3272.\nAnswer: 35992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 436840 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/4, 11\/13, -19, 0.5, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7 - 5. Is 48\/21 - a\/7 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -2*q**3 + 28*q**2 + 2*q + 5. Give s(14).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from {e: 2, k: 3, c: 1, j: 5, y: 1}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:45 PM and 4:38 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = 27396 + -27395.9972702. What is p rounded to 5 decimal places?\nAnswer: 0.00273","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -13*l**3 + 7*l**2 + 3*l - 5. What is the tens digit of m(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3591111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000001295 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5.7 - 29.7. Let b = -23.5 - n. Sort b, 0.3, 4.\nAnswer: 0.3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ifiiiiiiiiiifiif. What is prob of picking 1 i and 2 f?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7 and 117761.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Total of 76707 and 5421.7.\nAnswer: 82128.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = -51 + 53. Let f(t) = -285*t + 287*t + a - 2. Let c(p) = 22*p**2 + 2*p. Determine f(c(b)).\nAnswer: 44*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-24137)\/(-28))\/(1\/2). Let u = c - 1725. What is the common denominator of -99\/10 and u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -11010101111101 (base 2) to base 11\nAnswer: -a319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**2\/m)\/m)**(1\/53)*((m\/(m**4\/m*m))\/m)**(-6\/17) assuming m is positive.\nAnswer: m**(24\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/7? (a) -0.8 (b) 6\/139 (c) 1\/5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24592 = 36*o + 20*o - 27*o. Calculate the highest common factor of o and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 18, 45, 86, 147, 234, 353?\n\"Answer: x**3 + x**2 + 17*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes before 4:07 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 95\/252 and -121\/1890?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -3*h + 3. What is j(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 401\/990 + -1\/198. What is the closest to a in -2\/19, 1\/3, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1729, 3620, 5671, 7882?\nAnswer: 10253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 4*h = 6. Let b = 2 + 11. Suppose 4*t - 5*m + b = 0, -h*t + 2*m - 1 - 3 = 0. Solve 2*y + 0*y = t*p + 23, 11 = p + 4*y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d - 1. Let w(y) = -y**3 + 18*y**2 + 60*y + 62. Let q be w(21). Let x(l) = -4*l + 2. Give q*s(p) - x(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-9)\/6*2 + (-599)\/(-44). Let h = o + -53\/4. What is the common denominator of h and 44\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s - 1. Let k(w) be the second derivative of w**3\/6 - w. Let p be k(1). Let u(m) = -1. Let n(x) = p*u(x) + q(x). Determine n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -65 - -70. Put t, 0, 2, -6 in descending order.\nAnswer: t, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - k - 33 = 0, 0 = 7*s - 2*s - 5*k - 65. Let o be 29\/2 + s\/20. Let i be 1*(0 - -7) - 3*1. Solve -3*d = o, -d - 37 = -i*c + 4*d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 293, 581, 869, 1157?\n\"Answer: 288*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:35 PM and 4:31 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 80 * -12934\nAnswer: -1034720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be (6\/9)\/((-14)\/(-105)). Let q = 263 - 259. Solve w + 18 = q*j + s, j - 7 = w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 + 5. Let g = -2 + q. What is the units digit of (6\/7)\/(g\/14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 87027983?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Factor 4*p**4 + 16*p**3 + 12*p**2.\nAnswer: 4*p**2*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*a - 6*a + 14*a - 8*a.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -110120110 + -1?\nAnswer: -110120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*s**5 + 2*s**5 - 3*s**5 - 2*s**5 + s**5 - 2*s**2 + 3*s**5 + (-3 + 0 + 1)*(-3*s**5 + 3*s**5 - 2*s**5).\nAnswer: 9*s**5 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 45711 times -236\nAnswer: -10787796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-7)\/(21\/(-12)) + -3. Calculate the common denominator of (y\/(-10))\/((-1)\/13) and -33\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -664, -999, -1334, -1669, -2004, -2339?\n\"Answer: -335*f - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.6 - -7533638.\nAnswer: 7533638.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u**3 - 6*u**2 + 3*u + 4. Let q be (-4)\/(24\/18 - 2). Calculate f(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 2, -21 in ascending order.\nAnswer: -21, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(660)*-1*6)\/((1*sqrt(60) + sqrt(60))\/sqrt(5)))\/((sqrt(308)\/sqrt(7)*-4 - sqrt(44))*-3).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*d**2 - 1809592*d + 65150496.\nAnswer: -4*(d - 36)*(d + 452434)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**(-3)*o**(-5)*o)\/((o**(5\/6)*o*o)\/(o**20*o)) assuming o is positive.\nAnswer: o**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = 17.97 + -21.5. Is 2\/3 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -15 + -47 + 55 + -28 + (-4 - (1 - 4)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -4*r - 4*m + 27, 4*r - m = 12. What is the first derivative of -r - 30 + 22*p**4 - 24*p**4 wrt p?\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 10*i. Let s(r) = 53*r - 4*r**2 + 70*r - 123*r. Calculate b(s(t)).\nAnswer: -40*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -111 = 4*v + 3*y, 3*v - 3*y = 2*y - 47. Let p be (v\/36)\/((-2)\/15). Find the third derivative of -3*o**4 + o**4 - p*o**2 - 8*o**4 - 8*o**2 wrt o.\nAnswer: -240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 1.016 and 15685.\nAnswer: 15686.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 18417348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 2 x when three letters picked without replacement from {x: 3, y: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 174917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -4281, -4317, -4353, -4389?\n\"Answer: -36*b - 4245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 4 - 5)*(-4*n + 4*n + n) + 550 - 142 + 535*n - 537*n.\nAnswer: -3*n + 408","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4 - -4.06. Let m = u + 0.04. What is the nearest to m in -0.3, 2\/23, -4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1865 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -t - 1 = 0, -19*f + t = -14*f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -546 + 537 - 3*m**2 + 5*m**2 - 3*m**2 as k + z*m + v*m**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*m**4 - 110*m**2 - 77*m - 1.\nAnswer: -24*m**2 - 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5541 is divided by 54?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3155615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*b**5 - 12*b**5 + 9*b**5 + (0 + 0 + 2)*(-b**5 + 3*b**5 - b**5).\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:29 AM and 6:53 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:19 AM and 11:40 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**3 - 4. Let b be a(2). Find the second derivative of -10*p + 6*p + 2*p - 15*p**b wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1438*0.2.\nAnswer: 0.02876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1761732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 56*v**4 - 2*v**3 + 2*v + 81. Let h(g) = 56*g**4 - 3*g**3 + 3*g + 82. Let r = 24 - 20. Let u(m) = r*h(m) - 6*z(m). Differentiate u(q) wrt q.\nAnswer: -448*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -69\/2 and -33\/3818.\nAnswer: 3818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*k**3 - 12*k**3 + 9*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 359 minutes before 2:29 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8944013?\nAnswer: 13, 397, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**2 + 51. Let z be u(0). Suppose -4*w = -z + 15. Solve 4*q - q = -w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + -2 + 5 + (3 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -943572*l**2 + 1409470?\nAnswer: -1887144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 4243652663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -67065 - 15?\nAnswer: -67102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 72282 is divided by 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 18 - 15. Suppose -4*n + 5*f = -18, 0 = -s*n + 2*n - f. Which is greater: n or -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3504 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.4335 decades to months.\nAnswer: 1132.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -7*a**3 - 4*a**2 - 6*a - 23. List the prime factors of v(-5).\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/(-15) + -2 + (-247)\/(-190)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + 562?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let 97001*f + 0*f**4 - 177*f**3 - f**4 - 97361*f + 538*f**2 = 0. What is f?\nAnswer: -180, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -103794, -236, 1 in decreasing order.\nAnswer: 1, -236, -103794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -377*o = -386*o + 216. Calculate the highest common divisor of o and 1032.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**5\/3 - 322*k**4\/3 - 650*k**3\/3 - 326*k**2\/3.\nAnswer: 2*k**2*(k - 163)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 822*d - 34*d = 62381 - 8009 for d.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14979 is divided by 1250.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*r + 120 = 19*r. Let q be 1\/(-4) + (-7614)\/r. Let c = -218 + q. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**34\/(z**(-4\/7)*z*z))**(-1\/24) assuming z is positive.\nAnswer: z**(-19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the first derivative of -n**4\/4 - 14*n**3\/3 + n**2\/2 + 14*n - 10. Let t be d(-14). Solve 16*q**3 + t*q**2 + 2*q**2 + 20*q**4 + 12*q**4 = 0 for q.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 4*i. Let g(b) = -9*b + 368. Let l be g(29). Let h be (4 + -108)\/(-1 + 0). Let d(n) = -h*n + 205*n - l*n. Calculate d(x(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 80314 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let -s**4\/4 - 7589*s**3\/4 + 38038*s**2 - 53299*s - 273924 = 0. Calculate s.\nAnswer: -7609, -2, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 87*x**4 + 4280*x**3 + 35476*x**2 - 440608*x + 329280 = 0 for x.\nAnswer: -28, 70\/87, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -11794, -21816, -31812, -41770, -51678, -61524, -71296, -80982?\n\"Answer: 2*w**3 + w**2 - 10039*w - 1758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (228\/16)\/(1\/4) is divided by 5\/(-110)*-326 + 2\/11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1389872 rounded to 4 decimal places?\nAnswer: -0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the third derivative of b**5\/90 - 133*b**4\/6 + 17689*b**3 - 48*b**2. Determine h, given that r(h) = 0.\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/(-4)*8*-1. Let c be -2 - 28\/(n - -2). Let t = 2 + c. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 247, 725, 1523, 2641?\nAnswer: 4079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(-1))\/(-6)*12\/(-30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 25097633 and 54758472.\nAnswer: 602343192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10*-6*(-6)\/(-144).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 91\/22 and 63\/7781602.\nAnswer: 85597622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 410.5207 to the nearest ten.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -114*z + 790 = -771 - 263 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 + -7. Let a(t) = t**2 + 4*t + 3. What is the least common multiple of 4 and a(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-1))**(7\/3) assuming r is positive.\nAnswer: r**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) -4 (b) -0.1 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z**2 - 1273*z. Let o(u) = -112*u. Give w(o(a)).\nAnswer: 12544*a**2 + 142576*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2358153.4 rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = -3*t + 53, -5*a + t + 43 = -3*t. Calculate the remainder when 54 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h = -15, 5*g - 8*h - 10 = -12*h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 103 - -217. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2198542?\nAnswer: 2, 17, 64663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(18) - (sqrt(4)\/sqrt(2) + sqrt(2) + 5).\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 3*a - a - 5)*(3*a**2 - 2*a**2 - 2*a**2)*(-3*a + 2*a + 4*a).\nAnswer: 12*a**4 + 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -370 = -5*p - 405, 0 = -5*q + 5*p + 25 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2768844 to the nearest integer?\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 4 = 3*t - 2*k, -5*t + 3*k + 15 = 0. Suppose 431 = 3*j - 2*c, 0 = 5*j + t*c - c - 760. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -60933.399992 + 60893.4. Let z = 40 + i. Round z to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j + 1. Let g(k) = -2*k + 4. Suppose 7*h + b = 3*h + 11, -7 = 4*h - 5*b. Determine h*g(f) - 7*l(f).\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -1\/6, 206, 4, -0.5, 527?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 63296?\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -7325, -20206, -33087, -45968, -58849, -71730?\n\"Answer: -12881*z + 5556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -469 (base 10) to base 12\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -47*t + 5392 = 6191 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the first derivative of -7*s**5\/120 + s**4\/2 - 5*s**3 - 6. Let g(l) be the third derivative of p(l). What is the first derivative of g(f) wrt f?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 63 divide 2779038234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = 4 + 8. Let w be 85\/20 + 3 + 2\/(-8). Solve 2*c + w = -2*b + 3*b, f*b + 2*c - 13 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 - (-222)\/42) + 1647\/189.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (168\/196)\/(6\/(-154))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 109754 is divided by 8438?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.08 in -4\/7, 0.5, -2\/3, -0.19, 3\/2?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -89575481, -89575479, -89575477, -89575475, -89575473?\n\"Answer: 2*k - 89575483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q + 600*z - 16 = 602*z, 4*z + 26 = 3*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -15\/1688 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x be -52*2\/1*-1. Suppose 15*j - x = 11*j. Suppose 5*y = c + 98, -3*c + j = 4*y - 60. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7602 + 5358 = -132*n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-462)\/28*-1*6\/(-9). Which is the third biggest value? (a) -0.3 (b) d (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.4 - 1. Let p = 0.3 - q. Let o = -0.069 + 5.069. Which is the third biggest value? (a) o (b) -8 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gbgh when four letters picked without replacement from gbggggemghv?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = v - 2. Let q be h(2). Suppose -2*t = -3*u - 3, t + q = 5*u - 2. Let w(o) = -o**2 + 2*o + 1. Determine w(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -223963*v**3 - 3 + 3 - 175*v + 175*v.\nAnswer: -223963*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*((sqrt(304) + (sqrt(304) - sqrt(304)*-2) + -5 + sqrt(304))*1 + 4 + 2 + sqrt(304) + 1) + 1 + -4)**2.\nAnswer: 1680*sqrt(19) + 273649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h when two letters picked without replacement from mmhhmmmmmmmm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*g - 675 = 17*g. What is the least common multiple of 108 and g?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**2 + 22*r + 26. Let b be c(12). Suppose -b - 29 = -q. Suppose 5*y - 10*y - 5 = 0, 5*x + 5*y - q = 0. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - (-2 - (5 + -8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g + 21 = 4*v, 4409*v + 24 = 4*g + 4414*v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 24480 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the third derivative of -i**6\/180 - i**4\/24 - 2*i**2. Let o(s) be the second derivative of k(s). Give o(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ka when two letters picked without replacement from {s: 2, a: 2, k: 3, n: 1, z: 1, c: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = -4*l + 8, -5*m + 14 + 6 = 0. Suppose -k - 3*k + 8 = -3*f, -l*k + 6 = -5*f. Solve -4*a - 8 = -f*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1036155*i - 2150741*i - 2 + 90643*i + 72588*i.\nAnswer: -3023665*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -0.2, 0.8, 1\/4, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.128 * 19375.\nAnswer: -2480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -30*z**3 + 4*z**2 - 14*z - 18. Let o be h(-1). Suppose 24*l - 30 = 21*l. Calculate the greatest common divisor of o and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -11*g + 74. Let k be f(7). Let w be (-598)\/(k\/(-2)*(-48)\/36). What is w rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q - 36*k - 34 = -39*k, -q - 2*k = -1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3659\/4 + -4*18\/96?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -c**3 + 5*c**2 - 6*c - 5. Let l(a) be the second derivative of -a**5\/20 + a**4\/2 - 7*a**3\/6 - 5*a**2\/2 - 1875*a - 1. Give 5*l(i) - 6*v(i).\nAnswer: i**3 + i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 4262*w. Let b(v) = -v**2 - 23345 + 23345. What is b(f(i))?\nAnswer: -18164644*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -46*o + 51*o + 2*q - q = 24, 0 = o + 5*q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16834882*p - 146*p**2 - 16834882*p.\nAnswer: -146*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*p**2*q*y - 8*p**2*q + 1986*p**2*y**3 - p**2*y + q*y**3 + 34*q*y**2 wrt y.\nAnswer: 11916*p**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify x\/(x*x**(3\/5))*x\/(x**(-10\/9)\/x) assuming x is positive.\nAnswer: x**(113\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j be (0 - (-45)\/(-10))\/((-2)\/(-268)). Let c = -89 - j. Let i = 1047\/2 - c. Find the common denominator of -76\/9 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2362588 is divided by 470.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -12380, -12409, -12438, -12467, -12496?\n\"Answer: -29*h - 12351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1997?\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pyt when three letters picked without replacement from {p: 3, t: 3, m: 1, y: 1, d: 2, b: 2}.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q = q. Suppose -h - 11 - 5 = q. Is ((-634)\/(-3))\/(h\/(-24)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52525989 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = 8*c - 30. Suppose 4*a = 2*a + 4. Suppose -z + a = -c. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -34102 (base 5) in base 14?\nAnswer: -c38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 166 + -97. Let a = o - 22. Let h = a + 43. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 2*z + a - 4*a, z - a = 4. Let t(o) = o**2 - 9*o + 6. Let n be t(8). Let x be n\/(-2)*(-1 - -26). Solve -x = 8*i - z*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -2*t**3 - 4*t**2 + t + 4. What is the units digit of y(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 1, o: 1, p: 11}. Give prob of picking 1 o, 2 p, and 1 f.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - b = -4*d + 8, -3*d - 3*b + 33 = 0. Solve 0 = -3*s + d*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -42 + 35 + -43 + 7 + -4?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = 41*o**2 + 24*o - 63. What is y(11)?\nAnswer: 5162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = o - 17. Solve o*q - 8*q - 20 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -88111 - -88124. Suppose 2*v - 7*a = -4*a + 32, 0 = a + 2. What is the highest common factor of o and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1*-297.\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -13*h + 9*h - 2*h - 17*h to the form k*h + z and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -275157, -275072, -274933, -274740?\n\"Answer: 27*x**2 + 4*x - 275188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -2*s + 19, -2 - 11 = j - 2*s. What is the tens digit of (-1)\/(j + 2950\/985)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52 a factor of 14352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14.8282974917 - 0.4.\nAnswer: -15.2282974917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-302)\/(-3))\/((3\/3)\/3)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*x + 111 = 99 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 39*f - 17. Determine u(4).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*i - 4*i + 2*i + 15*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 132979*a - 2*y - 56 = 132976*a, -9 - 16 = -5*y for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 19 + -2 + (15 - 18 - 11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*j - 20*j = -5*v + 45, -j - 3 = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 + 7. Let a = -17 + 38. Let l = a + 12. Calculate the remainder when l is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 73 divide 2511638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lvlledvldvllddlly. What is prob of sequence ddel?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(132)\/(-2*sqrt(12)).\nAnswer: -sqrt(11)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 - 1.02. Let p = -5.02 - w. Let q be (-4 + 5)*(-1)\/(-9). Which is the biggest value? (a) p (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fr when two letters picked without replacement from {f: 14, r: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve i - 8 = 3*w + 3, -3*w - 3 = -3*i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*6*sqrt(68)\/sqrt(4)*3)**2 - (((0 + sqrt(612))*6)**2 + (sqrt(612) + 0)**2 + 1).\nAnswer: 26927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (-6 + 3 + 4)*(-3110 + 3110 - 67*h)*(-13 + 14 + 20) in the form q + g*h and give g.\nAnswer: -1407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, -3, -10, 3 in ascending order.\nAnswer: -10, -3, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 3667 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 0*x - 3 + 4 - x + 7. Let w be d(6). List the prime factors of (1 - -1)\/(w\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/6 + 1825\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5*h*o*x - 7*h + 2496*l*o**3*x - l*o**3 - o**3 - 2 with respect to x.\nAnswer: -5*h*o + 2496*l*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 558 is divided by 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -7*q**2 - 2*q - 1. Let s be i(-1). Let v be -2*(1 - (-255)\/s). Suppose -4*t + 141 + v = 0. Does 24 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, 1984, -1\/2, -133, -3, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-290)\/(-60) + (-1)\/(-6). Suppose 5 = u*t - 25. Suppose r - t = 2. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j - 36 = -9*j + 2*f, -5*j = -2*f - 60. Which is the third biggest value? (a) 5 (b) 0.5 (c) j (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r**2 + r. Let i(d) = -d**2. Let l be (6 + -2)*(-12)\/(-16). What is l*i(t) - 2*g(t)?\nAnswer: -t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 5 + -142713442?\nAnswer: -142713435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(175))**2*2*4.\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 261 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2.39 + -1.89. Suppose -5*l + 38 = 4*i - 13, 3*l = i. What is the second smallest value in i, 0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 568 and 52150328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(1\/4)\/(k\/(k\/k**1)))**1\/(k*k**(-5)*(k**(-4)\/k)\/k)**(-1\/12) assuming k is positive.\nAnswer: k**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Is 13968131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 6 = -0*s. Let c(u) be the second derivative of u**5\/20 + u**2 + 6*u. Is c(s) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 10569 and 1933?\nAnswer: 20429877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**2 - 26*v - 31. Let h be i(27). Let t be h + 24\/6 - 2260. Is 6 a factor of t\/(-25) - 6\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (220\/176)\/(70*4\/16)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*k**3\/7 - 2432*k**2\/7 - 4*k\/7 + 2432\/7.\nAnswer: 4*(k - 608)*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide 24667339 by -1.\nAnswer: -24667339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1758 + -1760 + 11 + (0 - 2) - (-7 - 72).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**3 - 4*y**2 + 4*y - 3. Let c be p(3). Suppose -12*v + 7*v + 165 = c. Let k = v - -38. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 455\/12 + -919\/24. What is the second smallest value in 30, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38 a factor of 1563125076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -1*10*(-44)\/(-40)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 11) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 3 - 4 - 9*h - 13*h**2 + 9*h in the form p*h**2 + a*h + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10968 is divided by 1814?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 138*c**2 - 35*c - 386. Is d(-59) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 5*y - 11 = -b, -2*y = 2*b + 2. Suppose 5*t - 42 = -b*t. Calculate the remainder when 9 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-30745)\/129)\/(1560\/(-72))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**3 + 8*t**2 + 25*t + 27. What is the hundreds digit of w(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6605\/312 - 17\/104. Which is bigger: i or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 41 a factor of 3857552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -3*m**3 - 4*m**2 - 4. Let n be 2\/(-8) + 842\/8 - -3. Let h = -55 + n. Let f = h - 56. Let g(p) = 3*p**3 + 3*p**2 + 3. What is f*a(u) - 4*g(u)?\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -542*k - 285*k + 1008*k to c*k + n and give c.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t**3 - 6*t**2 + 4*t + 6. Suppose -y + 19 = -3*x, -5*y = -x - x - 17. Determine f(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**3 - 12*u**2 + 7*u - 66. Let z be ((-16)\/(-4))\/4 + -8 + -6. Let y be j(z). Solve 6*f - y*f = -6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35723009 to the power of 1\/2, to the nearest integer?\nAnswer: 5977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 10*w**3 - 4*w + 7. Let g(f) = 10*f**3 - 5*f + 6. Let j(q) = 4*g(q) - 5*m(q). Differentiate j(i) with respect to i.\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + (5 - -1) + 2 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 194.9 - 14.9. Let b = t + -180.0000507. Round b to 6 dps.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 23 - 211. Let m = -1318\/7 - w. Which is bigger: m or -1.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2\/6)\/((-2)\/18). What is the nearest to -0.4 in 0.2, 5, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 90503761?\nAnswer: 751, 120511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 10 = 5. Let v(m) be the second derivative of m**4\/12 + 7*m**3\/6 - 11*m**2\/2 + 18*m. Calculate the smallest common multiple of v(-9) and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 110, 129, 148, 167?\n\"Answer: 19*i + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4 - (-201)\/48) + (-20)\/(-5) + -4. Let x(o) be the first derivative of o**3 + m*o**4 + 0*o + 22 + 0*o**2. What is c in x(c) = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (7\/(-3))\/(4\/(-12)). Solve 0 = l - 4*k + g + 2, -4*l = 3*k - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 21*c - 8*c - 10*c + 2 - c**2. Let r(w) = -16*w - 11 - w**2 + 3*w**2 + 3*w**2. What is -11*g(i) - 2*r(i)?\nAnswer: i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s - 8574*j + 31 = -8575*j, -101*s + 6*j = -102*s - 34 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -13990 - -55?\nAnswer: -13935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 105 = 3*i + 3*x, -i - 5*x + 43 = 0. Suppose s = 3*s - i. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 56 - 55.58. Let s = i + 0.58. Let k = s + 13.5. What is k rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5\/90356 and 31\/6454?\nAnswer: 90356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = 36 - 40. Suppose 2*o = 0, 0 = d + 5*o + 1 - 3. What is the units digit of (d - -2)*(-14)\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:32 PM and 6:11 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -0.5, 12 in ascending order.\nAnswer: -3, -0.5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -22, -80, -188, -370, -650, -1052?\nAnswer: -1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 20 = 24*u - 20*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -86, 299, 2408, 7441, 16598, 31079, 52084, 80813?\n\"Answer: 200*n**3 - 338*n**2 - n + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 341 = 9*i. Let t = 6 + i. Is -26 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 56 - 67 = 0. Suppose -n = -3*z + 1. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/((-135)\/(-141)) - 1. Let f = 194\/315 - u. Which is the closest to 1\/4? (a) f (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 831693105?\nAnswer: 3, 5, 18482069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-2*(sqrt(22) - (sqrt(264)\/(sqrt(48)\/sqrt(4)) + sqrt(22)))*-3)\/((sqrt(20) + 3*sqrt(180))\/sqrt(10)*-2) + -5.\nAnswer: -9 + 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by 402.\nAnswer: 1\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r**4 + 110*r**3 - 240*r**2 - 830*r - 475 = 0 for r.\nAnswer: -1, 5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -1 equal to -2\/71987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -3436056*-0.14\nAnswer: 481047.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3240)\/(-33) - (-4)\/(-22). Let j be ((-62)\/30)\/(d\/35). Let p = -1\/6 - j. Which is the third smallest value? (a) 0 (b) p (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 205316?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -712.169 or 0.0166?\nAnswer: 0.0166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 2*l**3 - 203*l**2 + 667*l + 1855. Determine o(98).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -117*y + 67*y + 112*y + 45*y + 235*y in the form d*y + h and give d.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y - 3. Calculate the least common multiple of 4 and t(-17).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-3*r + 4 - 4)*(1 - 3*r - 1) + 5*r**2 - 3*r**2 + r**2)*(12 + 3 + 8) to q*r**2 + l*r + j and give q.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 + 26 = -3*r - 5*k, k - 3 = -4*r. Find the third derivative of -43*y**2 + 20*y**5 - 27*y**2 + r*y**2 - 24*y**2 wrt y.\nAnswer: 1200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wllwlllwllllwlwwwll. What is prob of sequence lwlw?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 496*n**3 + 7493 + 7497 - 14990.\nAnswer: 496*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -2425, -5108, -7793, -10480, -13169, -15860?\n\"Answer: -k**2 - 2680*k + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = h - 0*b + 2*b + 2, b = -3*h + 14. Suppose -i + 5 = -h. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 97 - 59 = -21*p + 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (160\/(-32))\/(2\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:23 AM and 8:32 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1616163876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 27*w + 1. Let c be -4 - (-24)\/((-16)\/(-4)). What are the prime factors of v(c)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10)\/(-35))\/(8\/7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 166*w**2 + 282*w**2 - 449*w**2. Let h(k) = 36*k. Let n(u) = 12*u. Let g(m) = 4*h(m) - 11*n(m). Give g(c(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 8 = -2*v, 5*v - 3 = -3*j - 2. Let s(b) = -3*b + b**2 - v*b**2 - 3*b + 5*b - 1. Determine s(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 2*c - 10. Let f be l(7). Suppose f*b - 71 - 49 = 0. Let g = 36 + 233. What is the remainder when g is divided by b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 2*u + 10. Let x(h) = 2*h**3 - 10*h**2 - 2*h + 1. Suppose -5*m - 5*c + 350 = 0, -6*m + 5*c + 271 = -2*m. Let s = m + -64. Let i be x(s). What is r(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 6.042657 kilometers?\nAnswer: 6042657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/6 or 2513?\nAnswer: 2513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 0 + 10 = 0. Let i = 11 - n. Let d = 44 - 18. What is the remainder when d is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qcaccqcqaoqqaao. Give prob of sequence qcqq.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -41 in 5, -3, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 - 101301211021?\nAnswer: -101301211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 170938260 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1599.2 and -5?\nAnswer: 1594.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the first derivative of 3*b**5\/5 - 37*b**4\/2 + 47*b**3\/3 + 12*b**2 - 3670. Let v(t) = 0. Calculate t.\nAnswer: -1\/3, 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 0, 3\/11, -645, -5?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1016 - -1439. What is the remainder when y is divided by (-1)\/7 + (-498)\/(-7)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5090 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -3*g - 20. Let d be p(-7). Let f be (-102)\/(-210)*-1 - d\/(-5). Which is the closest to -2? (a) 3 (b) f (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 868944.\nAnswer: 2, 3, 43, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2803694 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 237416511.\nAnswer: 3, 23, 3440819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-1)\/(-11 + (-247320)\/(-22485)) is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -674776, -674758, -674740, -674722, -674704, -674686?\nAnswer: -674668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7195 is divided by 37.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -377404103, -377404101, -377404099, -377404097?\nAnswer: -377404095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.09 - 4.91. Let c = -1 - v. Let i = -749 - -5244\/7. What is the smallest value in i, c, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -45 divided by 4\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = 3*w - 33. Suppose -w*i + 0*i + 5*y + 3000 = 0, i - 4*y - 1007 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 3*j**2 - 2*j - 1. Let n(x) = x**3 + x. Let k(i) = 2*n(i) + p(i). What is k(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -11 and -3.9.\nAnswer: 42.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*p - 5234450*p**2 + 10*p.\nAnswer: -5234450*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 6076647.44 to the nearest one thousand.\nAnswer: 6077000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 255.9 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 3*y - 13, 3*y - 30 = -n. What is the nearest to 1\/4 in -3\/2, -0.5, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 * -43340.9.\nAnswer: 173363.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7 + 3. Let j(z) = -z**3 - 3*z**2 - 2. Let g be j(t). Suppose -5*a - o + 18 = 0, 0 = -5*a - 2*o + 7*o + 30. Solve -a = -2*v - g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 20 and 2424.\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 142 and 73982.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 268*v**3 + 2*v**2 - 11*v - 19. List the prime factors of q(4).\nAnswer: 3, 13, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 147949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*x - 3*o - 65, 6*x = -10738*o + 10748*o + 126 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 42 is divided by 0 - (-14 - (-2)\/(-2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/5*b**2 - 102\/5*b + 0.\nAnswer: -2*b*(b + 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 263192.652ms?\nAnswer: 0.00304621125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s\/s**1))\/s)**(2\/5) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*v - 1150 = -33*v. Suppose -v*z + 22323 = -3391. List the prime factors of z.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -12528 + 25?\nAnswer: -12503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:57 AM and 6:52 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00197586463 rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that x**3 + 1964464*x**2 - 23573676*x + 70721136 = 0.\nAnswer: -1964476, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in 248282, -1, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1208321 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 1076*a - 1092*a + 192 = 0 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 45875.93 decades?\nAnswer: 4587.593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 86 divide 709645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(0 + sqrt(11) + 1 + sqrt(704) + (-3 + sqrt(99) - (0 + -1 + sqrt(11))))**2.\nAnswer: -110*sqrt(11) + 6660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1223149430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -200 by -5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -7 - -10. Suppose -4*q = u - 33, -q - 13 = -3*q + x*u. Suppose -q*m + 4*m + 40 = 0. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 116434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - 121.73086.\nAnswer: -117.73086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that 3*c**2\/8 + 30*c - 747\/8 = 0.\nAnswer: -83, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -o**3 - o - 2. Let y be m(0). Let g be 2\/12 - (y - -2). What is the nearest to 0 in -4, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1764827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/28*(-287)\/246*-1*21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 738364760.\nAnswer: 2, 5, 7, 2637017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*g - 10*g = -3. Suppose 2*r + 3 = -m, -3*r = -g*m - 0 + 9. Solve m = -3*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1557043 - 1807.31976.\nAnswer: 1555235.68024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y\/(y*y**6))\/y**(-1\/4))\/(y**2*y\/y**(-6\/11)))**(-4\/19) assuming y is positive.\nAnswer: y**(409\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 307369?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i + 2 = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 756, 3001, 6736, 11955, 18652?\n\"Answer: -d**3 + 751*d**2 - d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 2060*q + 3860. Give a(-2).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kzq when three letters picked without replacement from {q: 2, j: 9, z: 1, c: 1, k: 1, a: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j**2 - j. Let p be c(0). Suppose p = -3*a + 15. Suppose a*b - 3 - 2 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 0 + daae?\nAnswer: daae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1, 0.002, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 275*q**2*r**3 - 4*q*r**3 - 59*q - 2*r**3 wrt q?\nAnswer: 550*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1490 + -1490. Let z be (-6 + 6 - w)\/((-21)\/7). Let l = -6 - -4. Sort -1, z, -3, l in descending order.\nAnswer: z, -1, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1248, 5, -818 in descending order.\nAnswer: 1248, 5, -818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 41, 103, 167, 233, 301, 371, 443?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 211683072 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be (3\/1)\/(2\/6). Let d be ((-12)\/(-14))\/(3\/21). Let c = w - d. Solve 15 = -3*b + c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**3\/5 + 32164*r**2\/5 + 3862562*r\/5.\nAnswer: 2*r*(r + 121)*(r + 15961)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -193 - -5?\nAnswer: -18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = -534599.757789 + 534600. Let r = -122.242 + 122. Let y = b + r. What is y rounded to five decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2791013?\nAnswer: 1531, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 22320 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the second derivative of -k**5\/5 + k**4\/12 + k**3\/2 + k**2 + k + 1. Let b be d(-1). Let s be (1\/(-5))\/(2 - 18\/b). Which is greater: s or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 211, 58, -2\/7 in decreasing order.\nAnswer: 211, 58, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**3 + g**2 + 4*g + 1. Let w be (-3 - 0\/(-4)) + 6. Let l be r(w). Let b(t) = -215*t - 1506. Let v be b(-7). Sort 2, -4, l, v in descending order.\nAnswer: 2, v, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 120, 378, 770, 1296?\n\"Answer: 67*k**2 + 57*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*u**2 - 6*u**2 + 0*u**2 + 3*u**2 + 6*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*c + 13 - 13)*(72*c + 1157 - 1157).\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 2*q + 46 = 0, -137 - 109 = -5*u + 2*q. What is the remainder when 199 is divided by u?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 884 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -64*p + 167 = -5*w + 4, w + 3*w - 92 = -p - 118 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 190260346?\nAnswer: 2, 95130173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -4*x, -l - 3*x = -5 - 20. Suppose -16*b = -l*b - 1227. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3420 and 17290.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7170 + 7290. Let j be -48*(-1 + 0)\/2. Calculate the greatest common divisor of j and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1339009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) be the third derivative of d**5\/12 - d**4\/6 + 3*d**3\/2 - d**2. Let t(a) = -6*a**2 + 3*a - 9. Let h(w) = -5*r(w) - 4*t(w). Determine h(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*v - 206 - 14 = 0. Let o be ((-1)\/2)\/((-1)\/4). What is the highest common divisor of v and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that -3*o**5\/5 + 4*o**4 + 268*o**3\/5 + 534*o**2\/5 + 359*o\/5 + 14 = 0.\nAnswer: -5, -1, -1\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tvytytthbbvybyttybyt. What is prob of sequence vy?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 - 5) + (32 - (-22 + 23)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes after 10:13 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 69 a factor of 20493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -34173*n**3 - 2*n + 37742.\nAnswer: -102519*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b - 11. Give l(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-6 - (-5 + -5)) + -131. Let i = 158 + g. Solve i = -5*j + 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001685017003 rounded to five decimal places?\nAnswer: 0.00169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in 2\/23, -7, 5, 1\/7, 21\/17?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (4\/(-6))\/(189\/(-162))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (y**2 + 3 - 3)*(4 - 6 + 3) - 5*y**2 - 9*y**2 + 6*y**2 + (-3 + 3 - 1)*(-13*y**2 + 2*y**2 + 2*y + 2*y**2) to the form p*y**2 + l + c*y and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = -4*o - 22, 4*r - 4*o = -o - 50. Let q be 2*-1 - 442*7\/r. Find the common denominator of q\/(-15)*5\/36 and 107\/30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 47309, 94588, 141849, 189092, 236317, 283524?\n\"Answer: -9*h**2 + 47306*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 30040933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 404836039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 192769275 by -250025.\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 2804602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/q**(6\/5)*(q**1*q)\/q*q*q\/(q*q**(-1\/2))*q*q*q**(-6))\/((q\/q**2*q)\/q*q\/q**(2\/11))**(-2\/13) assuming q is positive.\nAnswer: q**(-2471\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 4 (b) 68 (c) 0.2 (d) -0.4 (e) -0.3 (f) -125 (g) -2\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 10) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -556 + 192 - 55*z**3 + 27*z**3 + 170 + 196 - 107*z**3.\nAnswer: -135*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -19.3476 times -0.3\nAnswer: 5.80428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4616 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -212*u**3 + 0 + 217*u**3 - 1 - u in the form f + y*u**2 + p*u**3 + o*u and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 270 and 433755.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -5*o + 14 - 2, 5*j + 2*o + 1 = 0. Let s be -4 + (-18)\/(-9) + (-5)\/j. Solve 0 - 4\/7*w - 10\/7*w**2 + 2*w**s = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -361 + 1660 = 4*h - 3*f, -5*f + 1291 = 4*h. Suppose -3*j - q + 71 + h = 0, 2*j - 262 = -q. Suppose -7*t = -21 - j. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -3595, -3593, -3589, -3583?\n\"Answer: q**2 - q - 3595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 362 (base 9) in base 8?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30669.\nAnswer: 3, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -69644 + 856676 = 75*d - 7*d. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1*(-4 - (-161)\/21) + 20\/15. Solve j*x + 3*y = 0, -y = -3*x - 10 - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*w + 54 = -36*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**2 - 2*f - 4. Let b(h) = -h. Let d be b(-3). Let p(x) = -2*x**2 - 4*x - 7. Let i(s) = d*p(s) - 5*o(s). Suppose i(w) = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -9327.16837 to zero dps.\nAnswer: -9327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/(140\/(-190)) - -10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 395890 is divided by 98383.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/(-2 - -1)*4. Suppose g - 1 = n. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -3 (b) -349 (c) -4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**2 - 11476*b - 911679. What is d(-80)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5328 and 33912?\nAnswer: 2509488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 484379 < 484395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-seven fifths of a decade in years?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(102) + sqrt(102) + (sqrt(102)*-2 - sqrt(102))))\/sqrt(6).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/7, -0.1949, 0.3 in increasing order.\nAnswer: -0.1949, 0.3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4676 - -4672. What is the biggest value in u, -2, 26.1?\nAnswer: 26.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) - sqrt(63)\/(sqrt(27)\/sqrt(3))) + -2)*-1 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1031 - -1570. Suppose 538*q - b*q + 3683 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -3*c - 7. Let z(v) = 3*v - 35 - 9*v - 3*v - 7*v. Let m(i) = -11*q(i) + 2*z(i). Let d be m(-5). Solve -d = -2*u - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l - 8. Calculate z(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1934.\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q be 10*(28\/(-8) - (-8 + 4)). Suppose 5*m - 2*v - 2785 = 3*v, 2*v = q*m - 2779. Round m to the nearest ten.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the second derivative of 0*g**3 + 0*g**2 + 0 - 4*g - 1\/20*g**5 + 1\/6*g**4. Find the third derivative of k(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2 + 3. Calculate the remainder when 1 + o + 2 + 3 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -35031228*w**2 - 28160404?\nAnswer: -70062456*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -1244*k + 4276. Let p(n) = 2480*n - 8552. Let b(r) = 3*p(r) + 5*v(r). Find the first derivative of b(h) wrt h.\nAnswer: 1220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the second derivative of -q**4\/12 + 5*q**3\/3 - 2*q**2 + 3*q. Let w be u(9). Suppose -4*x - 319 = -w*m, -4*m + 6*x + 257 = x. Is m a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14773562 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: What is the nearest to 11\/18 in 14, 2\/15, 9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -301, -674, -1023, -1342, -1625?\n\"Answer: p**3 + 6*p**2 - 398*p + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*f**4*i*n + 102049*f*i*n + i*n + 132199*i - n + 1 wrt f.\nAnswer: 16*f**3*i*n + 102049*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 20 + 13 + (22 - 48) + 23\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from gktgeub?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -444494, -444487, -444474, -444455, -444430, -444399, -444362?\n\"Answer: 3*p**2 - 2*p - 444495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + -3 - (1 + 6 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 2, g: 2, a: 3, u: 4, r: 1, v: 6}. What is prob of sequence avvq?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does -1\/236 = -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1624 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: Solve 4*u + 8 = -0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -19408669, -19408675, -19408691, -19408723, -19408777, -19408859, -19408975, -19409131?\n\"Answer: -d**3 + d**2 - 2*d - 19408667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -3*p**2 + 2*p + 6. Suppose -50*w + 15 = -55*w. Let m be y(w). Let b be (-129)\/(-3) - m\/(-9). Calculate the highest common factor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -16045913*g**3*j**3 + 187181*g**3*j**2 + 2*g**3*j + 13*g**3 wrt j?\nAnswer: -96275478*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 220\/(-55) - ((-655264)\/3 + 1\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = 4*p + 29 - 35, 0 = p - 5*f + 9. Is p at most 4\/209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 4, r: 2}. Give prob of picking 2 h.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 195426117 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*z - 3799 = -22159. What is z rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-25)\/75*(-3)\/4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 18\/(-8) - (-2)\/8. Let l be (-1)\/(s - (-51)\/26). Let j = -28695 + 28773. Calculate the greatest common factor of j and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) be the second derivative of -8*h**2 - 10\/3*h**4 + 3\/10*h**5 + 76*h + 0 - 31\/3*h**3. Let q(t) = 0. What is t?\nAnswer: -1, -1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -144 - -148. Let k(b) be the second derivative of 0*b**2 - 3*b**v - 2*b**3 + 0 - 27\/20*b**5 - 3*b. Let k(s) = 0. What is s?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1302208184 by -1.\nAnswer: -1302208184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t = 4328 - 4184 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 657413, 2629052, 5915125, 10515638, 16430597, 23660008, 32203877?\n\"Answer: v**3 + 657211*v**2 - v + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 133006*q**4 - 2*q**3 + 9*q**2 - 11078.\nAnswer: 3192144*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -11975969 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v be 576\/480*181*5. Calculate the greatest common factor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -21778 + 23950. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 8*c**2 - 3*c + 5. Let m be h(1). What is the greatest common divisor of 35 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -4, 161, -8.27?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v - 46. Let i be d(-48). Which is smaller: i or 45\/17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -12 - -47. Suppose -3*d = -31 - q. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -338164 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1184382 is divided by 197357?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u**3 + 6*u**2 + 4*u - 6. Calculate the lowest common multiple of 36 and o(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-7\/5))**(-6\/13) assuming z is positive.\nAnswer: z**(42\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 398 a factor of 6884206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 2*y - 57 = -0*y, -2*n + 46 = 5*y. Suppose 11*s = n*s + 2. Does 20 divide 22\/26 + s + 784\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = 2*j - 24 - 6, -10 = -j - 3*t. Suppose -30*m = -34*m + j. Is 6 a factor of (-6)\/(-4)*3*m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:09 AM and 8:02 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k + 4 + 2. Suppose 0 = -3*z - j + 3 - 10, j = k. Let p be (z\/(-18))\/(3\/6). Sort 2, 0, p in decreasing order.\nAnswer: 2, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwvwwviwwivv. Give prob of picking 1 w and 3 v.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Total of -2.082759062 and -0.80141.\nAnswer: -2.884169062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 1179*k - 110817. Calculate s(94).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be 150 - (3 + (-12)\/4). Suppose -2*c - 77 = 3*k - 0*c, c - m = 5*k. Let g = k + 71. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 2*p**2 + 5*p - 1. Let l be b(-3). Solve 3*q + 5*w = l*w + 9, -q - 17 = -3*w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = u + 4. Let n be -9 + -3*2\/(-6). Let s be m(n). Let d(w) = w**3 + 5*w**2 + 2*w - 4. Let h be d(s). What is the greatest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 13) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 5\/4, 4\/7, -179.8, -1460 in decreasing order.\nAnswer: 5\/4, 4\/7, -179.8, -1460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*d**5 - 4*d**5 + 3*d**5 + (4*d**2 + 6*d**2 - 5*d**2)*(-2*d**2 + 2*d**2 + 2*d**3) - 5*d**3 + 5*d**3 + 9*d**5.\nAnswer: 14*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -41 - 1219?\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) 1883 (c) -0.1 (d) -3\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 = -3*h - 2*j, -34*j + 27*j = -3*h - 29 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 116*x**2 + 49*x**2 + 1 - 171*x**2 + 370*x.\nAnswer: -6*x**2 + 370*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the first derivative of -1\/2*j**2 + 0*j**4 + 0*j**3 + 5 + 0*j + 2\/5*j**5. Find the second derivative of a(m) wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-15 + 13 - 1 - 41) + -17 + 42?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 450*u**3*x**3 + 2*u**3*x**2 + 2*u**3 - 5*u*x**5 - 23*x**2 + 7 wrt x.\nAnswer: 2700*u**3 - 300*u*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 102*m**3 - m**2. Give c(-1).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 25 = 4*r + 3*c, -4*r - 5 = 5*c. Calculate the remainder when r is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -17*b**2 - 4 + 16*b**2 - 2 + 6*b + 3. Let t be s(4). Solve -k = -t*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 348 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(5) - (-3 + ((sqrt(20))**2 - sqrt(5))) - sqrt(605)*2.\nAnswer: -20*sqrt(5) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -0.008, -1, 5, -13884?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1*-3 + (-232)\/(-80). Let o be 6\/(((-9)\/24)\/(-1)). Let l = -15 + o. Are l and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/18 + 22\/(-99). Suppose a*c + 6 = 2*c. Suppose -k + c = 4. Do k and 14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - (54\/90)\/(99232\/(-7630) - -13).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1726120 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the second derivative of 0 - 5\/6*p**3 + 0*p**2 - p. Let v(y) = y**2. Calculate v(r(i)).\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 264 and 552?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*sqrt(14)\/sqrt(2) - sqrt(63)*6) + -5 + (-2*(sqrt(77) + sqrt(77) + (sqrt(77)*-1 - sqrt(77))))\/(-1*sqrt(11)*2))**2.\nAnswer: 140*sqrt(7) + 1397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sum 115225629 and -13396.\nAnswer: 115212233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 32*w - 13*w**2 - 3 - 32*w in the form n*w**2 + p + r*w and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 350990 and 10?\nAnswer: 350990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1402347835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 179 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 693 minutes after 7:32 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (11\/55)\/(((-4)\/(-5))\/(-2))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of 808619.2 and -23.\nAnswer: 808596.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than -594\/1039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -4036761, -8073542, -12110323, -16147104?\n\"Answer: -4036781*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - 17604 - 53450 = -3*m, -47362 = -2*m - 4*r. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 147*g**3\/2 + 274533*g**2 - 470709*g\/2 + 50436 = 0. Calculate g.\nAnswer: -3736, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 40*v**2 + 152*v**2 - 22*v**2.\nAnswer: 170*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 8 + -5. Suppose s - 2*s + r*n = -25, s = -n + 13. Suppose 0 = -3*h - h + s. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 12222 and 1649.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (4 + (sqrt(304) + 2 + -3 - sqrt(304)) + sqrt(304) + 2*sqrt(304)*2 + sqrt(304) + 2 + -4)**2.\nAnswer: 48*sqrt(19) + 10940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -104*s + 681. Give a(6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 299 - -2385. Suppose 6*n - 3448 = p. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24 + -1 + 40 + -123 + 95.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-6)\/8 - 287\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 352 (base 15) in base 9?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -423*f - 1030*f**2 + 423*f to s*f**2 + t*f + i and give s.\nAnswer: -1030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1557, 1556, 1555, 1554?\n\"Answer: -r + 1558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -14, -9, -2, 7, 18, 31, 46?\n\"Answer: k**2 + 2*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = t**2 - 2. Let o(l) = 2*l**2 - 3. Let k(j) = -2*o(j) + 3*q(j). Let z(r) = 10*r**2. Calculate z(k(y)).\nAnswer: 10*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 1067720897, 1067720899, 1067720901?\n\"Answer: 2*z + 1067720895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 110 = 2*a + 3*a, -a + 2*g + 27 = 0. Suppose 2*n - 11 = -5*f, 2 = -4*n - 3*f + a. Calculate the greatest common divisor of 15 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-6)\/15*-5 - -5. Let i(n) = -n + 6. Determine i(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by 5242?\nAnswer: 5\/5242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*y + 9 = -12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the second derivative of s**5\/16 + s**4\/6 + s**3\/8 - 10*s. Suppose c(f) = 0. What is f?\nAnswer: -1, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*y + 45 + 30. Let f(g) = -g**2 - g + 6. Let z be f(-3). Suppose z = 4*a + s - 127, -y - 13 = -a - s. Round a to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 197, 122, -231, -1000, -2323?\nAnswer: -4338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -0.01*-12922\nAnswer: 129.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w = 15 + 3. Put 1, 4, w, 0 in decreasing order.\nAnswer: 4, 1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 + 0)*(-5 + 4 - 3)*(844*l**3 + 1093*l**3 - 20*l**3 + 906*l**3).\nAnswer: 11292*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -2 (c) 137 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i - 25 = -2*s + 7*s, 25 = -5*s + 4*i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -n**3 + 6*n**2 + 4*n + 7. What is h(7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -601.74801965 minus -3?\nAnswer: -598.74801965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5287 + 5287 - 22*s)*(2*s - 1 + 1) to i*s + y + d*s**2 and give d.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*x + 5*x. Suppose -f - 4*f + 15 = x. Suppose 0 = -s + 2*v + 22, 0 = -4*s + f*v + 59 + 14. What is the remainder when 62 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 3830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1754 = -43*j + 12977. Calculate the highest common divisor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -255 + 258. Let c(n) be the first derivative of 5\/4*n**4 + 0*n + n**b + 0*n**2 + 2. Find the third derivative of c(i) wrt i.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -8*q. Let y(w) = -7*w + 4. Let z(n) = 15*n - 9. Suppose 2*c + 6 = -3*v, 6*c = 3*c - v - 23. Let b(k) = c*y(k) - 4*z(k). What is t(b(u))?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3235 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -x**3 + 14572924 - 14572924.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.5 (b) 3\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1006 in -0.308, -0.07, 0.11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -5289 less than -5272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 16224909641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.021 - 5.021. What is the smallest value in -0.2, -2\/5, y, 8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -93992 * -696.\nAnswer: 65418432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 3811 + 1803 = 4*c, 3*b + 1401 = c. Is c a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 55\/(-50) - (-2 + 1). Which is the nearest to 1? (a) n (b) -0.5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29037 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -a**3 - 8*a**2 - a - 6. Let n be o(-8). Let f = n - 2. Suppose 5*y + 4*v - 44 = f, -y + 9 = v - 0*v. Calculate the remainder when 21 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the second derivative of -16*r**2 + 65*r - 52\/3*r**3 + 2 - 4\/5*r**5 - 25\/3*r**4 + 2\/5*r**6. Find q, given that z(q) = 0.\nAnswer: -1, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.24 or 77412\/25?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from asaaaaasaaa. Give prob of picking 2 a.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.030882 or 1\/2?\nAnswer: -0.030882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -c4 (base 14) in base 13?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**2\/7 - 11*h\/7.\nAnswer: -h*(h + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 - 117394.6?\nAnswer: -117394.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 21 divided by -2?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve t = 5*r + 4, 3*r - 6 = 4*r + 5*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that -9*r**3\/4 + 1465025*r**2\/4 - 2278911*r\/4 + 813895\/4 = 0.\nAnswer: 5\/9, 1, 162779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -275*z = -312*z + 140045. List the prime factors of z.\nAnswer: 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -123559*r = -123628*r + 4623 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 817*v - 832*v - 15 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/9? (a) 0.3 (b) 12\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 308541?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 134 or 135?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/7)\/(4\/((-224)\/40))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(((sqrt(272) - (1 + sqrt(272))) + 5)*-4 + -5 + sqrt(272) + -2 + 3) + 4 + -1)**2.\nAnswer: -136*sqrt(17) + 561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/(-42))\/((-3)\/(-1))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 284420951 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8346 is divided by 2691.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*m - m + m)*(4 - 1 - 1) + m + m - 3*m + (-2 + 3 + 2)*(4*m - 14*m - 4*m) + 5*m + m - 3*m.\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 9*h**2 + h - 2. Let i = 3 + -6. Let o be f(i). Suppose o = -z + 5*z. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 661 minutes after 4:42 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9*l**5*z - 6546*l**5 + 63*l**2 + 79*z wrt l?\nAnswer: 540*l**2*z - 392760*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -v - 5*j + 22 = 0, 2*v - 12*j + 9*j = -21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/2 in -0.4, 1, -104\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -249*d = -302*d + 159 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s**2 - 2*s + 2. Let x be t(-3). Which is the nearest to 0.1? (a) -1\/2 (b) 4\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h, 1 e, and 1 b when three letters picked without replacement from hhebeoeoe?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.03 + 3.03. What is the closest to 0.1 in -2\/11, f, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 194672?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/8*(-1)\/27*-12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o + 4*b + 20 = 0, 0*o + 4*b = -o - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*h + 4*h + 32. What is the common denominator of (249\/(-9))\/(h\/6) and -24\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1778 is divided by 92.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -7*s. Let r(b) be the first derivative of -7*b**2\/2 + 8. Let m(g) = -4*r(g) + 3*z(g). Let w(v) = -v**2. Calculate m(w(p)).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -3*w**3\/7 - 12*w**2\/7 + 45*w\/7 + 54\/7 = 0.\nAnswer: -6, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -0.26 (b) -283 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(3\/19)\/(s\/(s\/(s\/s**(-31)*s))) assuming s is positive.\nAnswer: s**(-624\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 88 and 2162028.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 2*l = -26, -2*l - 30 - 26 = -5*w. Let o be ((-6)\/9 + 2)*6. Calculate the remainder when 150\/o - (-4)\/16 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 6*z**4 - 10*z**3 + z - 111. Let o(x) = 14*x**4 - 19*x**3 + 2*x - 220. Let q(b) = -6*o(b) + 13*u(b). Find the second derivative of q(g) wrt g.\nAnswer: -72*g**2 - 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 99 divide 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 8, t: 2, x: 1, v: 2}. What is prob of picking 1 t, 1 x, and 2 v?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-102)\/765 + 96\/45\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**3 + u + 1. Let w(m) = 126 - 4*m - 5*m + 7*m - 128 + 19*m**3 + 18*m**2. Let y(v) = 2*g(v) + w(v). Find the third derivative of y(a) wrt a.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from faafffa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 4 + 1 = 0. Let o(q) = 4*q + q**3 - 5*q**2 - 6*q**2 + 0*q + 6 - 3*q. Let x be o(11). Solve 0 = -f*b - d + 4 - 25, -5*b + 3*d = x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1349975\/16321386 + 528\/4973. What is the common denominator of p and -39\/16?\nAnswer: 26256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (((14904\/92)\/54)\/(6\/(-116)))\/((-4)\/(-2))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -25*g**2 - 178*g - 39. Let f(v) = -8*v**2 - 60*v - 12. Let a(r) = 13*f(r) - 4*m(r). Find l such that a(l) = 0.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 27*j**2. Let z(h) = -115413*h. Calculate w(z(c)).\nAnswer: 359644335363*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 139 a factor of 899052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 137*l - 5*z = 138*l + 29, 11 = l - 3*z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 19384872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 20 - 214?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 118 - 59. Let k be 4\/6*192\/(-8). Let x = d + k. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-134)\/(-24) - 5 - 5\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the second derivative of 5*p**5\/4 + 15*p**4\/4 - 85*p**3\/6 + 15*p**2\/2 + 3*p - 1. Determine m, given that b(m) = 0.\nAnswer: -3, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2735\/2298 + -9\/383. Let b(o) be the third derivative of -1\/24*o**4 - 3*o**2 + 0*o - t*o**3 + 0. What is b(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((8510\/(-8103))\/(-46))\/(((-875)\/42)\/25).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 1353*g + 20 = 1358*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -25\/55447?\nAnswer: -25\/55447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -h + 709, -5*h - 4*p + 3537 = -p. Suppose 4*y - 71 = h. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 348.3 - 6093.5. What is j rounded to the nearest 100?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((12\/(384\/32))\/(296\/(-24)))\/(3\/2)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 70\/37179 and -1\/13902.\nAnswer: 172287486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10846, 21450, 31806, 41914, 51774, 61386, 70750?\nAnswer: 79866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12528.989307 + -12529. Round v to four dps.\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 941195 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**3 - 4*u**2 - 2*u + 1. Let k be s(4). Let j = 10 + k. List the prime factors of 14\/6*j + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4.5202 - -4.47. Let r = g + -1.6498. Let x = 6\/29 - 59\/145. Which is the biggest value? (a) x (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1440\/(-960))\/(-1*18).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 46\/20735 and -59\/616540.\nAnswer: 88165220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 104501074 and 724?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 11014109 + -2.7.\nAnswer: 11014106.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 18455 + -13004. Suppose 0 = 21*d - 26*d - 2*m + s, 0 = 4*d + m - 4362. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 6023 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -6*a - 8. Let j(m) = -5*m - 7. Let q be (-3*(-7)\/21)\/(2\/(-8)). Give q*j(b) + 3*c(b).\nAnswer: 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 15623 = 4*p, 0*p - 3*p = 5*z - 26031. What is the thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3 (b) 72 (c) 394 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.24 - 0.06. Let v be (-40)\/((-60)\/(-6)) - 0. What is the biggest value in -0.01, 1, v, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (194\/291)\/(7\/210)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3160, 3164, 3168, 3172?\nAnswer: 3176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -6, -0.3, 21, -34?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1767575 is divided by 407?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = o - 7*o. Let b(y) = -5*y + 2. Let m be b(o). Solve -1 = -a + m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = n**2 - n + 6. Determine m(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 377058 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be 258*-1*(-2)\/6. Suppose 4*v = w + 46. Suppose -5*z + 56 = -3*a + 2*a, -2*z = 5*a - 44. What is the remainder when v is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 31*j**2 + j - 2. Let k be y(1). Is 503 + (-18)\/10 + 24\/k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 55225950 and 762.\nAnswer: 55225950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/6867 and -127\/19838.\nAnswer: 178542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -11\/238728 and 157\/221676?\nAnswer: 3103464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 66 a factor of 661029632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: ((177 + -180)*18\/81)\/(7*(-3)\/9)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 4*h - 10. Suppose -2*d - d - 42 = 0. Let g(f) = -2 + f + 0*f - 1. Determine d*g(z) + 4*k(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (-1 + 3*((sqrt(448) + 1 - sqrt(448) - sqrt(448))*-4 - 1*sqrt(448)*4))**2)*4.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 20509 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-10 - -6)\/(4\/(-6)). Suppose -5*n - 5*i + 45 = 0, -4*i - 6 = -f*i. Suppose u - 1 - 1 = 0. Solve 0*w - n = u*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -3, -1421801 in descending order.\nAnswer: 0, -3, -1421801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*n = 35*n - 63. Which is the nearest to -2? (a) n (b) -1\/3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (5\/25)\/((-2)\/(-335)). Suppose -2*l = -3*l - 35. Let t = h + l. Which is the second biggest value? (a) t (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 9*o - 53. Suppose 3*m + 27 = 2*c, -2*m + 2 = 2*c - 0. Let u be a(c). Solve -3 = -4*l + u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) be the third derivative of 7*j**5\/15 + j**2 - 3*j. Let h(w) = 3*w. Give h(s(m)).\nAnswer: 84*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1847220 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a - 18 + 9 = v, -v + a = -6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.490926 centuries to years.\nAnswer: 49.0926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -25993985*4.\nAnswer: -103975940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1021203 - -1?\nAnswer: -1021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*t + 20*t + 22*t)*((4 - 2 + 4)*(-2 - 2 + 12) + 3 - 3 + 2).\nAnswer: 2600*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 173, -3, -5 in descending order.\nAnswer: 173, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -147570 divided by -29514.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -2, 3, -5.\nAnswer: -5, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 18*o**3 + 0 - 13*o**3 + 26 to the form m*o**2 + z*o**3 + u + k*o and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 45 + (-3 + 9 - 27)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u and 2 k when four letters picked without replacement from {k: 2, u: 18}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-204)\/(-10) + (-27)\/(-45). Let j = 16 - o. Let g(u) = -5*u**3 - 3*u**2 - 5*u + 6. Is g(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1717 is divided by 429.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (4 - (7 - (9 + -5 + -2))) + -16\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -199, -203, -209, -217, -227?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 7 (base 12) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 2*w**2 + 5*w + 10. Let m be v(5). Let a(b) = -53*b - 79*b + m*b. Let d(o) = 2*o**2. What is d(a(j))?\nAnswer: 4418*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (5 - 629\/102)*(-30)\/5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -38 minus 621?\nAnswer: -659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be 26*(-6 - -4 - 14). Is 1 - (-3 - 2) - i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 * 6575.\nAnswer: -3287.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5 + 565?\nAnswer: 56a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3449 - 3449 + 1290*j + 1478*j - 440*j.\nAnswer: 2328*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 21 = 99. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 107 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 89825 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 15939000 to the nearest 100000.\nAnswer: 15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of b*m + 11145707*b*u - 9561914*m*u wrt b.\nAnswer: m + 11145707*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + z = 10, -2*z = 4*n - 0*n - 16. Suppose -12 = -2*u - 0*d + n*d, -4*d = 2*u + 6. Suppose 2*c - u*c = -31. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 6, b: 1, d: 3}. What is prob of picking 2 v and 1 b?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (50 - 21 - 12).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 5*a**2 - 13*a + 14. Let y be t(-7). Suppose -h = -8*h + y. Let s(k) = -2 - h*k + k**2 + 6 + 89*k - 44*k. What is s(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = 4*g + 3*n + 3, -15 = -3*n. Let z = -1 + 2. Let l = z - g. Calculate the remainder when 14 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -7682 divided by 44605\nAnswer: -7682\/44605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be (5 + 10\/(-7 + 5))\/3. Solve 4*a + 0*g - g + 17 = s, -a = g - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8751 + 188*p - 8751.\nAnswer: 188*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n\/((n*n**(-3)*n)\/n)*n)**(3\/22))**(-3\/13))**(-1\/4) assuming n is positive.\nAnswer: n**(9\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 1\/4, -2\/7, -2\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (3017\/28)\/(1\/148). Let d = -10947 + v. Round d to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 670 is divided by 219?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 746189 by 3.\nAnswer: 746189\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lqir when four letters picked without replacement from liqisrirrl.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1219087 to the power of 1\/2, to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 2585007877 to the power of 1\/4, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = -486 - -492. Suppose -l + 5*r = -4*l + 198900015, 0 = -2*r + g. What is l rounded to the nearest 1000000?\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1638 and 2394?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6.749 - 0.333. What is x rounded to 1 decimal place?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/10 of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s and 1 r when three letters picked without replacement from {s: 11, r: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 12.8, -1\/6, 0, 0.01 in descending order.\nAnswer: 12.8, 0.01, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6\/27 - (-116)\/(-36). Let v(l) = 153*l + 3. Let o be v(t). Let k = -307 - o. List the prime factors of k.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 91 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -838 - 153170 = -9*g. What is the highest common factor of g and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.41 - -1.14. Let c = h + -3. Let z = c + 0.44892. Round z to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the second derivative of g**7\/2520 - 5*g**4\/12 + 2*g. Let p(r) be the third derivative of j(r). Let q(t) = -2*t. Give p(q(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*g - g**2 - 2*g**4 - 1112164 - 3*g + 1112168 to w*g + y + z*g**2 + u*g**3 + b*g**4 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 44351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0.1 * 88\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5 - -2. Suppose 13*s + 110 = 15*s. Let r = s - 331\/6. Which is the nearest to -1? (a) -2\/9 (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r\/((r*r*r\/(r**8*r*r))\/r)*r*r**2\/r assuming r is positive.\nAnswer: r**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 2*w - 5565 = 0, 5*w - 7413 = -0*a - 4*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 10*a**2 - 3. Let v = 52 + -91. Let w be v\/12 + 4\/16. Is z(w) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 4 + 3*((2*(sqrt(162) + -1))**2 + 3) + 3 + -1.\nAnswer: -216*sqrt(2) + 1972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 5*i + 14 = 0, 32*i = -3*v + 34*i + 3. Is v > 2\/995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 72 (base 8) in base 16?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -g**3 + 5*g**2 + 4*g + 2. What is the tens digit of m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 104.8458637 rounded to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -82627.5974+246\nAnswer: -82381.5974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4920)\/763420*(-147)\/(-63).\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -0*q + 5*t + 9, -12 = 4*t. Suppose -2*y + 16 = -0. Let l(b) = -127*b**2 + b**3 - 2*b + 0*b**3 + y + 132*b**2. What is l(q)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -21*f + 17*f + 28, 3*g - 3*f = -33. Calculate the common denominator of -31\/6 and (-8)\/g + (-265)\/(-35).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n**3 - 6*n**2 + 3*n + 3. Let p = 5 + -12. Is o(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 184 and 230.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.543456 meters to kilometers.\nAnswer: 0.009543456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 39\/16 and -103\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 74 divide (-3)\/2 - (-27)\/(-4)*-2346 - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 34 = -3*t - 3*p, 5*t + 3*p - 78 = 0. Let m be (t\/(-52))\/(102\/34). Is 1 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from peeeppepeppe. Give prob of picking 4 p.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 53792 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 s, and 1 o when three letters picked without replacement from zaozsazrkrzo?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/7, -4, 6, 7 in descending order.\nAnswer: 7, 6, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r\/r**1)**(23\/3)*(r**(-6)\/r)\/(r**(-1\/3)*r)*((r**1)**(2\/19))**(-10\/7) assuming r is positive.\nAnswer: r**(-20\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = 13341 + 397892. Is q 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 3480?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor h**2 + 1318*h + 324720.\nAnswer: (h + 328)*(h + 990)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 18639 - 10772. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2204086610 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 233096 is divided by 2508?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -26*c - 255. What is t(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jabaaaipapaiaaaa. Give prob of picking 3 a.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 596553876 a multiple of 2716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 511849, 511864, 511881, 511900, 511921?\n\"Answer: l**2 + 12*l + 511836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*j + 89117*j**3 + 88967*j**3 - 178275*j**3 - 3*j.\nAnswer: -191*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 2 - 82052706408\nAnswer: -82052706406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 1989\nAnswer: 4\/1989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r be 5*3\/(-45)*-9. Solve 3*q + r = 3*m + m, 3*q = -15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*d = -40 - 44 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the first derivative of -g**4\/4 + 19*g**3\/3 - 24*g**2 + 14*g - 109. Let b be c(16). Solve 4*p - 26 = -b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-15 + (6 - -11))*(4 - 1). Calculate the highest common factor of k and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(180) + 2 + 5*sqrt(180) + 5 + -4)**2.\nAnswer: 216*sqrt(5) + 6489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -131\/4 + 1449\/44. Which is the third biggest value? (a) 0.12 (b) -0.3 (c) 0.2 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-9 - -10) + (5 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 144 + -39. Suppose -12 = 2*v + 3*g - 75, 3*g + o = 5*v. Calculate the remainder when (-3)\/((-63)\/31 + 2) is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 2*l = -2*p + 104, -3*p + 112 = 4*l. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 36 divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2694 - 2765) + (10 - (-1 - (5 + -4))).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z + z + 9 = 0. Let b be 10\/(-3) - (-6)\/z. Let f be (-1)\/(b + 54\/14). Solve 6*x - 3*x + f = -r, -2*x = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 38442 and 141126?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1554 and 1134.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*t - 5 = -19*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) be the first derivative of -81 - 61\/7*m**7 + 5\/3*m**3 + 0*m**6 - 4*m + 0*m**5 + 0*m**2 + 0*m**4. What is the third derivative of g(r) wrt r?\nAnswer: -7320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -a**3 - 3*a**2 + 5*a + 5. Let k be o(-4). Suppose -2*v + 4*x = v + k, v + 2*x + 7 = 0. Let m be (-8 - (-2 + 2)\/(-6)) + 6. Is m <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 413 - 406. Let j(p) = -26*p - 3. Let h be j(f). Is h less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in -694, 41, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.05, 25, 2, 188\/9?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, 6, 1, -8, 2292 in ascending order.\nAnswer: -12, -8, 1, 6, 2292","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1763 is divided by 577?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 91121181.\nAnswer: 3, 30373727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) 1\/4 (b) 3 (c) 0.020722 (d) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i - 571 = -543 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 5, v: 3, h: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24 + (-65 - (-10 + -14)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 4 + 4)*(6 + 2*s - 6).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = 157 + -158. Which is greater: m or 1\/65?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 191 a factor of 126094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the second derivative of -27*z**5\/2 - 269*z**3\/3 + 360*z. Find the second derivative of y(s) wrt s.\nAnswer: -1620*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 8463 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -6 - ((-875)\/153 - 128\/576)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 3, w: 2, f: 6, q: 2}. Give prob of picking 1 q and 2 f.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 15043255.2s?\nAnswer: 174.11175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 725567 is divided by 222?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 2*i**3 - 3*i + 2. Calculate v(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find a such that -a**4\/5 - 421*a**3\/10 - 1212*a**2\/5 + 6119*a\/10 - 1636\/5 = 0.\nAnswer: -409\/2, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 125158 and 201938?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 677139.3ns to minutes.\nAnswer: 0.000011285655","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1385?\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dddededeedgeeeededdd. What is prob of picking 3 d and 1 g?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 1, f: 5, e: 1, y: 2, p: 8, h: 3}. What is prob of sequence phk?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the third derivative of m**8\/896 + 3*m**7\/560 + m**6\/160 - m**5\/80 - 3*m**4\/64 - m**3\/16 + 21*m**2. Factor t(v).\nAnswer: 3*(v - 1)*(v + 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l**3 + l**2 - 3*l + 2. What is the remainder when 29 is divided by k(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9219?\nAnswer: 3, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 4, -14, -1, 1 in increasing order.\nAnswer: -14, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14)\/70*(-5)\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -89*w + 91753 + 4550398 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 15 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 17917710 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -570 = -3*o - 0*o. What is the common denominator of -6 - -4 - o\/(-16) and -58\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -d - 12*d + 12*d - 10 + 5*d**2 to l*d**2 + p + n*d and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -291*n = -220*n - 242 + 29. Solve -3 = n*f - 2*t - 7, -4*f - 2*t - 18 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24\/(-20)*(-400)\/48.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*d + d - 55. Let b = -17 - d. Let x be 74\/777*7 + 28\/(-6). Do b and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-2)\/5)\/(2\/(-110))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 119102880, 238205764, 357308648, 476411532, 595514416, 714617300?\nAnswer: 833720184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 106609 + 109532 = 5*g, -5*g - 5*w + 216125 = 0. Let r be (-4)\/(-14) - 26\/(-7). Suppose -r*n - g = 416773. What is n rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - 1 - (-280 + 267)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (2 + 1 + (2 - 5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 391 minutes before 9:47 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 15721360349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-2)\/10)\/(1\/(-2)). Let o = 2.99 - 5.29. Which is the smallest value? (a) o (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 4*f + 476 = 0. Let i = f - 68. Suppose 3*t - j - 81 = i, 3*t - 4*j = -0*j + 72. What is the highest common divisor of t and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/5 or -2494.24?\nAnswer: -2494.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 21292476811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -655350 by -510.\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 165*g + 3321 = -204*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 120 divided by -202?\nAnswer: -60\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = 5*d, -5*f + 0*d + 25 = d. Suppose 38 = f*q - 82. Let n be 94\/4 + q\/(-20). Calculate the highest common divisor of n and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1105.\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m + 3*m = 9. Solve 3*f = -m*f - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the second derivative of p**5\/20 + 3*p**4\/4 + 11*p**3\/3 + p**2\/2 - 264*p + 1. Calculate l(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: -5900 divided by 20\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50 = 2*t + 990. Let d = -309 - t. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -u**3 + 7*u**2 - 12. Calculate h(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*a + 24 - 228. Calculate the remainder when 134 is divided by a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 2 u when three letters picked without replacement from ubuuuhmbbm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -18004*g*n**2 - 2*g*n + 5*g*y + 6*g + 3*n**2*y + 977*n*y + 2*y wrt y?\nAnswer: 5*g + 3*n**2 + 977*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -3*w**2 - 5*w + 8. Let b(y) = 8*y**2 + 15*y - 23. Let t(k) = 4*b(k) + 11*j(k). Suppose -2*n = -2*o, 4*o + 5*n - 30 = 3*o. Determine t(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-2)\/(-7))\/(((-4)\/(-663236))\/((-1)\/(-2)))?\nAnswer: 23687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that 5*q**2 + 30*q = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:40 AM and 11:26 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 401 a factor of 1643548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4268160 and 2496.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -774900 by -110700.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 1 + 3*z - 19*z + 0*z - 5 + 18*z. Calculate p(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = s**3 + 13*s**2 + 2*s + 4. Let p be g(-10). Suppose 4204 - p = 4*i. What is i rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 3 - 1 = -w, -2*w + 6 = -r. Solve x - 28*h + 26*h - 1 = 0, 5*h + 22 = -w*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*l**4 + 45302070*l**3 + 136818503085660*l**2 + 137736920090706340360*l.\nAnswer: 5*l*(l + 3020138)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7425 and 2200?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 - 2*m**2 + 2 + (0 + m + 0)*(-4*m + m + m) + 18*m**2 + 46 - 46.\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one fifths of a microgram in nanograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r\/r**5))**(-6\/7))**(-31) assuming r is positive.\nAnswer: r**(930\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 - 9 = 4*x - 4*u, 12 = -x - 3*u. Let m(s) = -3 - 2*s + 0*s + x. List the prime factors of m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76) + sqrt(76) + -2)**2 + sqrt(19) - (sqrt(19) + -2 + 1).\nAnswer: -16*sqrt(19) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 103*a - 125. Let r be n(16). Let x = r - 907. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 - 7*b**2 - 40*b**2 + 8.\nAnswer: -47*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let -18*q**3 - 3346*q**2 + 10578*q - 1134 = 0. What is q?\nAnswer: -189, 1\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(1\/5)\/i)\/(i\/(i*i*i\/(i**(-1)*i*i)*i)))\/(i**(-3\/5)\/(i*i*i**(3\/7))) assuming i is positive.\nAnswer: i**(148\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/((q\/q**(-2\/3))\/q))**(-46)\/(q**(-2)*q*q**15))**(-4\/13) assuming q is positive.\nAnswer: q**(352\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(2 + 2 + (-2*sqrt(612))**2 - (-1*(sqrt(17) + sqrt(425))**2 - (sqrt(17) + sqrt(17) + (sqrt(17)*-4)**2*-2 + sqrt(17)))).\nAnswer: 9*sqrt(17) + 7560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 42947.\nAnswer: 67, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = 2*d + 40. Let k = -5 - d. Determine u so that -3*u**3 - 9*u + 9*u**2 + 3*u**2 - 2*u**k + 2 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -41304 or -41343?\nAnswer: -41343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 47\/4 in -2825, 3\/4, 4\/5, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/5 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (348\/(-725))\/((-4)\/40*4).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37 = 2*m + i, -5*m - 97 = 6*i - 5*i. Let q = m + 42. Suppose 5*o + 3 = 43. Calculate the remainder when q is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express g**4 + 6*g**3 + 2*g**2 + 16 + 2*g - g**3 + g**4 as r*g**2 + n*g + a*g**3 + s + z*g**4 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 7 in 1, -5, -48.4, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 661*t - 574*t + 1495617000 = 0. What is t rounded to the nearest one hundred thousand?\nAnswer: -17200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -51180, -51176, -51172?\n\"Answer: 4*b - 51184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be 11*(-1 - (-1 + 3)). Let k = 38 + h. Suppose 4*x = -3*d + 50, -4*x + 9*x = -k*d + 75. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -142.42 + 142. Which is the fourth smallest value? (a) -5 (b) -3 (c) i (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q*q**(-2)*q*q*q**(3\/10)\/q assuming q is positive.\nAnswer: q**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 1, 11, -1, -156, 0, -11 in ascending order.\nAnswer: -156, -11, -1, 0, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 + -1. Let z be ((-2)\/(-10)*-4)\/(22\/(-55)). Find the third derivative of 0*x**z + 4*x**2 + r*x**2 - x**4 wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 683 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 29281613 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -5*n - 49. Give t(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1294 is divided by 358?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 41633 is divided by 3463.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 8\/(-210)*8\/112*(-2107)\/(-43)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -8131 divided by -604?\nAnswer: 8131\/604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -983*x + 12 = -986*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10890 + 11065 - 21955 - 12*h**3 + 32*h**3.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25990668 is divided by 8663555?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 8640810 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 0 - 3*p + p - 3 - 4. Calculate the least common multiple of (-4)\/6 + 520\/78 and v(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the second derivative of 5*i**4\/4 - 9*i**2\/2 + 3*i. Let w(j) = 8*j**2 - 5. Let b(a) = 5*p(a) - 9*w(a). Let c(l) = -2*l. Determine c(b(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2026955 and 812.\nAnswer: 8107820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 55 - 54. Which is the nearest to g? (a) 2.6 (b) 4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9, 49, 89, 129, 169, 209?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 266*k**4 + k**2 - 3*k**3 + 3*k - 1 + 1 - 258*k**4 as a + c*k**3 + m*k + g*k**4 + s*k**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4545 and 7101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -6 - (0 - -2) - -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 93969361 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.206 + -0.606. Which is greater: n or -26?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 13008 and 102893551.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 320191?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -2*n**3 + 27*n**2 + 16*n - 24. Let w be j(14). Let z = -12 + 12. Let i be 21\/7 - 21*1. Sort i, z, w.\nAnswer: i, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in twenty-six fifths of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.99 + -1.92. Let o = -1.38 - h. Is -1\/3 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-8)*p*p**(13\/3)*p)**(-12\/19)*(p**2*p\/(p*p\/p**3))\/(p\/p**(2\/9)*p**8) assuming p is positive.\nAnswer: p**(-637\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 14 + 35 = 0. Suppose 4*u + 3*d - 96 = o*d, -4*u + 2*d = -88. What is the highest common factor of 50 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 196804a - -26?\nAnswer: 1968074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 1 = a, 4*a + 1 = 2*i + 3*a. Suppose -j + i = -2. Suppose -134 = -4*f + j*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -4*l + 14. Let g(d) = 13*d - 84. Let r(x) = 210*x - 1372. Let q(m) = -49*g(m) + 3*r(m). Determine v(q(o)).\nAnswer: 28*o + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f**2 - 13*f + 8. Let i be a(-13). Suppose -i*u + 3000 = -5*u. Round u to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -34? (a) 3 (b) 7\/247 (c) 5 (d) -0.2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -154*j - 579. What is the units digit of o(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.0146 and 5.\nAnswer: -0.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:01 PM and 5:40 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mbmjjmmjbmbmmmbmj. Give prob of sequence bbbb.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*y + y + 5*y)*(1 + 4 - 2) + (-1 + 1 - 2)*(0*y + 2*y - 4*y) + 2*y + 2*y + 0*y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 150899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 96278022 is divided by 7674?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -107\/18 and 37\/1922852.\nAnswer: 17305668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-3)\/u*(u*u\/u**1)\/u)\/((u\/(u*u**(3\/5)*u)*u*u)\/u**(-4)) assuming u is positive.\nAnswer: u**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 439980651*h**4 - 344097834*h**2 wrt h?\nAnswer: 10559535624*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**2*i)**(-38\/3))**(-3\/22) assuming i is positive.\nAnswer: i**(57\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:10 AM and 11:43 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h**2 + 8*h + 1. Suppose -7 = 5*w + 2*b, 2*w + 2 = -0*w - b. Let l = 2 - w. List the prime factors of d(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 15*u + 22. What is the hundreds digit of p(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 15 + -10. Suppose 3*l = y*s - 30 + 101, -5*l + 3*s + 145 = 0. Calculate the lowest common multiple of l and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 896627.9 millennia?\nAnswer: 8966279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 120 - 76. Suppose -f - 309 - 371 = -5*c, 4*c = -5*f + 544. Calculate the remainder when c is divided by 1*(g + (-3 - -5)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 5 + 3)*(-337 - 240 + 499)*(1 - 1 + b)*(5 - 5*b - 5).\nAnswer: 390*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*o + 80 = -64 + 200 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 94\/345 and -129\/230?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 14606413453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**3 - 58*k**2 - 118*k - 356. Determine g(-56).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that 551*c**2\/5 + 269*c\/5 + 6 = 0.\nAnswer: -6\/19, -5\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 338388630?\nAnswer: 2, 3, 5, 137, 281, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) be the first derivative of 8 + 0*m**2 + 4\/3*m**3 + 2*m. Differentiate j(n) wrt n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes after 7:44 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z - 3*z + 231. Let x = -35 + z. Sort -7, 0, x in descending order.\nAnswer: 0, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 63132955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: What is the next term in -204, -1232, -2954, -5376, -8504?\nAnswer: -12344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + -19 + (-19 - -43) + 50.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -6*f + 22. Let w be y(2). Suppose -w*q + 558532 = -1081468. What is q rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -189 and 1.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4 - -480?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 3\/2*y**5 - 35\/6*y**3 - 2\/3*y**4 + 0 + 0*y - 11\/3*y**2.\nAnswer: y**2*(y + 1)**2*(9*y - 22)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the first derivative of 4*r**3\/3 - 3. Let k(y) = -y**2 - 5*y - 5. Let z(g) = -g - 1. Let w(b) = -k(b) + 5*z(b). Give l(w(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 4*h**2. Let b(p) = 7*p - p - 2*p - 2*p. Determine b(s(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 48*r + 2700. Let q be m(-56). Calculate the highest common factor of 544 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (52*(-5)\/50)\/((-16)\/(-40))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3604 divided by 4.\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 3 + 3*a**2)*(-4 - a + 4)*(0*a + 2*a - a) to the form w*a**3 + b*a**4 + t + h*a**2 + z*a and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-16*(-3)\/(-9))\/(185\/(-555))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 2*w**2 - 77 - 6*w**2 + 3*w**2 + 11*w + 87. Give g(9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 27\/7 and (70600\/10010 - 7) + (-1)\/(-13)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u + 10. Let m be w(-7). Suppose 0*z - m*z + 60 = 0. Calculate the remainder when z is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -3*x**2 - 7*x + 5. Let q = 38 + -31. Let c(r) = 4*r**2 + 10*r - 7. Let u(h) = q*s(h) + 5*c(h). What is u(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -3*c + 20, -15 = -2*c + 3*c + 3*l. Suppose -2*h = -g + 24, c = g + 3*h - 1 + 2. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 17297 to the nearest 100.\nAnswer: 17300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (s**2 - 1 + 1)*(2*s + 3*s - 3*s) - 22*s**3 - 36 + 36 + (-s**2 - 3*s**2 + 3*s**2)*(-2*s + s - s) + (-2*s**2 - 2*s**2 + 5*s**2)*(1 - 2*s - 1).\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 440, 445, 454, 467, 484, 505, 530?\n\"Answer: 2*b**2 - b + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from {l: 2, i: 1, w: 2, q: 1, s: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**5 + o**4 - o**2 - 1. Let c(m) = 260*m**5 + 2*m**4 - 2*m**2 + 198*m - 2. Let r(j) = 2*b(j) - c(j). Find the second derivative of r(f) wrt f.\nAnswer: -5160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*h = -12*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -16*z**2 - 618*z + 5363. Calculate u(-46).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 191 - 183. Find the third derivative of -14*w - w**5 + 9*w**3 + 15*w - l*w**3 - 13*w**2 wrt w.\nAnswer: -60*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1849.5 rounded to the nearest ten?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x**(1\/10)*x)\/x*x*x)\/(x*x**(-5)))\/(x**(-1))**(-26\/7) assuming x is positive.\nAnswer: x**(167\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o**3 - 9*o**2 - 5*o + 21. What is z(10)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**3 + 6*o**2 - 11*o - 7. Let g = -46 - -36. Let n = g + 22. Calculate the remainder when w(-7) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-427 + 427 + 69*k)*(-4 - 3*k + 4)*(-3*k**2 + 0*k**2 + k**2).\nAnswer: 414*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1720068 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (115 - 153 - 131)*(-3 - 1 + 2)*(4*w**3 - 4*w**3 - w**5).\nAnswer: -338*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 12) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 16, -3, -29 in increasing order.\nAnswer: -29, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -14371\/4 + 3571. Calculate the common denominator of (-2 + (-129)\/(-54))\/(-1) and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 13.69422 - 0.17.\nAnswer: 13.52422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*k + 8*k - 15 + 15 - k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the first derivative of -c**3\/3 - 9*c**2\/2 - 3*c - 21. Let p be l(-8). Let v be 3*10\/(-9)*-3. Solve -3*t + p*t = v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6016 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -10 - 1b?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify z\/(z\/z**(6\/7))*z*z**(1\/3)\/z*(z**(-10)*z)\/z**(-2\/13) assuming z is positive.\nAnswer: z**(-2090\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/4*(-24)\/(-8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add -556.4 and 2.7.\nAnswer: -553.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 - 2. Let s(d) = d**3 + 3*d**2 - 16*d + 10. Let j be s(-6). Which is the nearest to -1\/4? (a) -1\/7 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 72449?\nAnswer: 13, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -149741, -151454, -153169, -154886, -156605, -158326, -160049?\n\"Answer: -w**2 - 1710*w - 148030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2153681638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = j**3 + 7*j**2 - 9*j - 8. Let x be 0 + (-2 + 3 - 9). Let d be t(x). Let y = 13 + -7. Solve d = 2*m - 4 - y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z + 6 = -3*o - 10, 30*z = 27*z - 3*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:34 AM and 9:43 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = -18 + 13. Let f(a) = -7*a**2 + 3*a + 1. Let s(n) be the second derivative of n**4\/2 - n**3\/3 - n**2\/2 + 14*n. Give v*s(t) - 4*f(t).\nAnswer: -2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2134 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 87 a factor of 214815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m**3 - 3*m - 2. Give o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 1170307.2 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-5)\/m**1)\/(m**(-15)\/((m\/(m\/m**5*m))\/m)) assuming m is positive.\nAnswer: m**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28\/(-6) - 120\/(-30).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -1819*-5*(116\/(-20) - -6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2 - (0 - (0 - -24)). Let t = -23 + z. Let s(p) = 2*p**3 - 2*p**2 - 5*p + 2. What is the units digit of s(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = 16 - 3. Let j = 16 - a. Solve 2 = -j*p + 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 7*f**3 - 8*f - 1. Let o(w) be the first derivative of 2*w**4 - 9*w**2\/2 - w - 2. Calculate -7*a(i) + 6*o(i).\nAnswer: -i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 27925.914 months to centuries.\nAnswer: 23.271595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 28290698502 from -0.4.\nAnswer: -28290698502.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-408)\/(-108) + 2\/9. Solve -2 = r + 3*r + j, r - 8 = s*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6825, 6770, 6721, 6678?\nAnswer: 6641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z - 180 = 28*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the second derivative of h**6\/120 - 7*h**5\/120 - 2*h**3\/3 + 8*h. Let w(x) be the second derivative of f(x). Is 20 a factor of w(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -b113 (base 14) to base 12.\nAnswer: -15711","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Let a = 0.4 - 0.9. Let m = -1.3 + 0.3. Let q be 1*(-6)\/30*-1. What is the nearest to q in -2\/15, a, m?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -72.6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 64\/5 of a micrometer in nanometers?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**2*g*g\/(g*g*g**(-3\/8)\/g*g))\/(((g*g\/(g\/g**(-6))*g)\/g)\/g*g**7\/g)*((g\/(g**(-2\/15)*g))\/((g**(-1\/9)\/g)\/g))\/(g**(-1\/3)\/g)**(1\/3) assuming g is positive.\nAnswer: g**(1823\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -b**3 - 7*b**2 - 7*b + 4. Suppose 0*u - 4*u - 24 = 0. Is 4 a factor of m(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 79 - 44. Let z = 52 - y. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10560 take away 0.2662180017?\nAnswer: 10559.7337819983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 316640 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 959*f - 1003*f = 352 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u**2 + 24*u - 30. Suppose 5*q - 172 = 28. What is the remainder when q is divided by i(22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uzuzdudmm. Give prob of picking 1 z and 2 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Are 104 and 308\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*q**4 - 6*q**2 + 3*q**2 - 4*q**5 + 3*q**2.\nAnswer: -4*q**4*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -163*j**3 - 25*j**2 + 5*j - 35. Let u(s) = -162*s**3 - 21*s**2 + 4*s - 28. Give 5*u(w) - 4*z(w).\nAnswer: -158*w**3 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2372, 10147, 28744, 63575, 120052?\nAnswer: 203587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*y - 64754 = -65546. Calculate the greatest common divisor of 14 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 160*q - 151*q + 456*q - 11160 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 33679177 smaller than -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (296*g**3 - 341*g**3 - 317*g**3)*(0 - 1 + 3).\nAnswer: -724*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = 22 - 21. Suppose 324 = 30*n - 6. Solve -3*z + 15 = 4*r, m = -2*z + 5*r + n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.03 in 2\/7, -2, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -266.1311 to one dp.\nAnswer: -266.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-12)\/15*75\/(-6). Suppose 3*s = -2*s + g. Suppose -s*f + 74 = 5*q + 2*f, 4*f = 2*q - 24. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5547.613 + 5556. Let m = 0.193 - 0.28. Let u = i + m. What is u rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/1 + 3 - 0. Let p(o) = o. Let v(x) = -x**2 + 6*x - 3. Let d(s) = -2*p(s) + v(s). What is the remainder when 1 is divided by d(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 206341, 206309, 206277?\nAnswer: 206245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 3 - t**4 + 0 - 2*t**2 + 0 + 4*t**3 - 4*t.\nAnswer: -(t - 3)*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6659\/5 + (3*8\/(-120))\/(-1)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-6 - -5)*(-4 + 5). Let x be -83988 - 15 - c\/((-1)\/(-3)). Round x to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by -164434\nAnswer: 2\/82217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7 - 11. Let j be -3 + (0 - -1) + 4. Let s be (d\/12)\/(j\/2). Which is the closest to -0.1? (a) -0.2 (b) s (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 16*a - 6. Let u(l) = -5 - l + 1 + 5. Let t(k) = -b(k) - 8*u(k). Is t(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 64529 is divided by 32239?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 2*q - 3*w, 0*w - 2*w - 13 = -3*q. Suppose 50 = q*g + 197. What is the units digit of (2\/7)\/((-7)\/g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u*u\/u**0*u**(-1\/3)*(u**(-2)*u*u)**49*((u\/(u**(-1\/2)\/u))\/u)**14\/(u**(-2\/9))**(-6) assuming u is positive.\nAnswer: u**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6302.\nAnswer: 2, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r**(1\/13)*r**(-2\/45))\/((r**(-3)\/r)\/r**(1\/3)))**0)**(5\/4) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-4))\/1*(-308)\/((-341)\/(-31))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -q**3 - 3*q**2 - q + 6. Let f(g) = -g**3 - 5*g**2 - g + 11. What is -3*f(z) + 5*t(z)?\nAnswer: -2*z**3 - 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 2*r**3 - 9*r**2 + 2*r + 20. Let s be k(7). Let j = s + -3903\/14. Calculate the common denominator of 75\/16 and j.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 67 and -189.06?\nAnswer: -12667.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-1349)\/(-1491) - 3\/(-7)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 651471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 - 6 = 4*q. List the prime factors of 33\/12 + q\/(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:43 PM and 6:27 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (3 - (-6 + -4))*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0 + (8 - (6 - 16\/4)). Solve -13*p - c + 45 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 647*824.4.\nAnswer: 533386.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a be 15*(-2 - (-12)\/9). Let j = 18 + a. What is the units digit of 32\/14 - j\/28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 16660 and 3332?\nAnswer: 16660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*r + 8978 = 8824. Suppose -m + 2 = -226. Let c = m + -129. What is the greatest common divisor of r and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 14 and -2227.2432255?\nAnswer: 2241.2432255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w - 4 = n, -5*w = -4 - 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -m**6 - 33668*m**5 + 2*m**3 - 5*m**2 + 2*m - 5253 wrt m?\nAnswer: -120*m**3 - 2020080*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45799*s + 45789*s - 137478*s + 45880*s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**2 + l + 5. Suppose 106 - 76 = 10*t. What is n(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 24 + -24. Suppose 8*k = -u*k - 48. Let c(b) = -b**3 - 5*b**2 + 7*b + 9. Give c(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 2*m - 2742 = 0, -18 = -4*m + 2. Suppose -13*p + 14*p = -h + k, 2*p = 4*h - 2762. What are the prime factors of h?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 12111222 (base 3) to base 5\nAnswer: 112042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/z**(-9)*z\/(z*(z\/(z*z**(-23)*z))\/z))\/(((z*z**(-21))\/z*z)\/z*z*(z\/z**(-3\/7))\/z) assuming z is positive.\nAnswer: z**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 8 (base 9) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 2*m - 21 = 2*t, 0 = 5*t - 4*m + 37. Let n be 16\/6 + 4\/(-6). Let o(f) = 3 + 5*f**n - 7 + 0*f**2 + f**3. Determine o(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -456664, -456663, -456662, -456661, -456660?\nAnswer: -456659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -281, -183, -19, 211, 507?\n\"Answer: 33*r**2 - r - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, -3 in ascending order.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**0\/v*v)**(-37)\/(v**(1\/3)*v)**(-8))\/((v*v**(3\/5)*v)\/v**4*((v*(v\/(v**(1\/14)\/v))\/v*v*v)\/v*v)\/(v\/v**(1\/5))) assuming v is positive.\nAnswer: v**(1877\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 2\/55 (b) -425 (c) 2\/3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 120\/((-300)\/10)*(-26)\/(-4)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the third derivative of -49*z**4\/24 + z**3\/3 - 5*z**2. Let g be a(-1). What is g rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-6)\/4*(-220)\/66 + -6. Let h(r) = 5*r**2 - 6*r - 6. Let n be h(y). Solve 0 = -3*q - n*d - 15, 0*q + 20 = -4*q - 5*d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3633716451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -15.7 + 16. Which is the smallest value? (a) 1\/3 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 - 204 = -5*l. Suppose -l = -n - 5*f, f = 3*n - 40 - 1. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 25*y**2 - 2*y + 1. Let d be (-20)\/(-15)*(-6)\/(-4). Is v(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 615022898.\nAnswer: 2, 7, 23, 1910009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/15 + (-740)\/(-1110).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -613*h = -615*h - 3*p + 1266, -2*h + p = -1282. Calculate the smallest common multiple of 6 and h.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 110794 to the power of 1\/2, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 4 + 0*b + 0 + b. Let q(p) = 1. Suppose 0 = -22*o + 19*o - 3. Let r(g) = g. Let z be r(4). Determine o*w(l) + z*q(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -p**3 - 18*p**2 + 20*p + 28. Calculate c(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1318 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by 144044?\nAnswer: -5\/144044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(j*j\/(j\/(j\/(j*j**(-1\/2)\/j)))*j*j))**(-1\/10)*((j\/((j*j*j\/j**1)\/j))\/j)**19)**(-17) assuming j is positive.\nAnswer: j**(6341\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/(36042\/7206 + -5). Let i(o) = -o + 2403*o**2 - 4*o - 5 - y*o**2. Determine i(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = x - 2. Suppose -4*z = -3*o - 14, -o = 4*z - x + 30. Let t = 1 - o. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x\/x**(-5))\/(x*x*x\/((x\/x**(-9))\/x)))\/(x\/((x\/(x**5*x))\/x*x)*x\/x**(-2)) assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -11*y + 4. Let h = -21 - -14. What are the prime factors of n(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12 - 102102100?\nAnswer: -102102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1372512*f + 244296\/7*f**2 + 6\/7*f**4 + 9365376\/7 + 2094\/7*f**3 = 0. Calculate f.\nAnswer: -116, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 270\/79 or -0.04?\nAnswer: 270\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/(-17) + (-4 - 472\/(-34)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 37856665?\nAnswer: 37856665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000015547726 rounded to seven dps?\nAnswer: 0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -2604 equal to -70336\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 3*j - 7. Let f(u) = 12*u - 23*u - 7*u + 14*u. Calculate f(k(c)).\nAnswer: -12*c + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vhm when three letters picked without replacement from {h: 1, m: 2, z: 2, v: 2, w: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -49.66 take away -2?\nAnswer: -47.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 140 = 9*i. Let q = 23 - i. Put q, 0.5, 6 in decreasing order.\nAnswer: 6, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 12 = 0, 4*w + 2*r + 1 = 5*r. Suppose -6 + w = -l. Let v(b) = 2*b**2 - b + 1. What is the remainder when v(l) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2 - -1282?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 1 = 3. Suppose -4*x + a = -18, -i*x - 3*a = -a - 4. Find the third derivative of -3*p**2 - p**2 - 4*p**x - 9*p**4 + 12*p**4 wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = -6*k + 3*k + 310, -2*i + 110 = k. Suppose -k*u - 1875 = -107*u. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 16, c: 2}. Give prob of sequence ss.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 7 + -7. Let a be j\/7 - (-2)\/(-5). What is the second biggest value in a, -3, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-27)\/(-108)*144\/42?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16612 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t + 156*m = 154*m, t - 8*m = -45 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 8 - ((-4887)\/(-684) - 24\/(-32))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 204 or 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1599 or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -284, -312, -314, -278, -192, -44?\n\"Answer: 2*u**3 + u**2 - 45*u - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4 + -2. Let s = -0.4 + 18.4. Let v = 17.6 - s. Which is the second smallest value? (a) -4 (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 4*s = -s + 13892, -3*s = 12. What is b rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -70 or -783\/11?\nAnswer: -783\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -10 (base 6) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 2*w - w**2 - 2*w**2 - 2*w. Let y(t) = -4*t. Determine r(y(s)).\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 25658871 a multiple of 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 30*l. Give k(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k**3 - 6*k**2 - 1. Let h be f(6). Let v(b) = -7*b**2 - b - 1. Calculate v(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 571*s + 2946. Let c = 32 - 3. What is the remainder when h(-5) is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 170*w**2 - 55*w. Let d = -281 - -336. Let y(g) = 19*g**2 - 6*g. Let n(r) = d*y(r) - 6*m(r). Let c(o) = 3*o**2. What is n(c(x))?\nAnswer: 225*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2 + -1. Let u be (-1)\/(-2)*(q - 1). Let t(x) = -2*x**3 - 9*x**2 - 11*x + 3. Let i be t(-3). Solve h = j - 7, -j + h + h + i = u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r - 2. Let i be h(-4). Suppose -s + 91 = 3*m, 5*m = i*s - s + 141. What is the remainder when 86 is divided by m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 965 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: Calculate the common denominator of 35\/18 and 22\/171.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 12 = 3*w, 7*w = 2*w + 5. Let c be (-4)\/(-8) - m\/2. Calculate the greatest common factor of c and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 26885 + -17049. What are the prime factors of t?\nAnswer: 2, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -127\/90 and (-7994)\/27720 + (-6)\/(-24)?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(35)\/sqrt(5) + (sqrt(448)*5 - sqrt(448)).\nAnswer: 4 + 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve x = 11504*t - 11508*t + 8, 3*t + 21 + 21 = -x + 9*t for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*y - 2*o - 11, -65 = -2*y - 3*o - 76 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 3*v + 15 = 0, v = -3*n - v + 10. Let y = 10 - n. Solve 5*o = -s - 0*s + y, o + 2*s = 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5 + 10*p - 3 - 2 as c*p + z and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 8892 or 53359\/6?\nAnswer: 8892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the third derivative of v**8\/560 - v**6\/90 + v**3\/6 - v**2. Let t(b) be the first derivative of m(b). What is the third derivative of t(h) wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -1 + -1 + (4*(-1 + sqrt(2)) + sqrt(2))*3 + 0.\nAnswer: -15 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 62\/77 and -57\/154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor o**4 - 5*o**3 - 14*o**2.\nAnswer: o**2*(o - 7)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b. Let k(z) be the first derivative of -5*z**4\/6 + 7*z + 9. Let p(l) be the first derivative of k(l). Determine d(p(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3 - -3.1. Let y = -0.003 - -0.003. What is the closest to -0.1 in y, k, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (6\/8)\/(1710\/(-72)). Let k be (-18)\/(-36) - 3302\/2280. Let i = n - k. Calculate the common denominator of -63\/22 and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 88221\/22 + -4008. What is the common denominator of 73\/214 and f?\nAnswer: 2354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 167468 is divided by 2701.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6\/19? (a) 2.26 (b) 67 (c) 1\/13 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let -3*r**2\/5 - 84492*r + 1689888\/5 = 0. What is r?\nAnswer: -140824, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = -a + 3 + 13, 3*r + 12 = 0. Let w be 196\/(-112)*-2*(8 + -2). Suppose w = -11*u - 45. Sort u, -4, 5, a.\nAnswer: u, -4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3527 is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 4*x = 2*s - 114, 3*s = -3*x + 162. Let w = s - 45. Suppose 5*n - a = 6*n - 319, 2*a = w. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17953000 rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 3 - 5 = 0. Suppose -20 - 32 = -a*d. Suppose f + 5 = o, -6*f = o - f + d. Let h(j) = -j**2 + 1. Calculate h(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.008835+2784740.4\nAnswer: 2784740.391165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -3652720 divided by -456590?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 43267.\nAnswer: 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -5, -758 in decreasing order.\nAnswer: 5, -5, -758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 48 = -5*b + 4*b, -5*u + 3*b + 67 = 0. Solve n - 17 = -3*h, 7*h - 8*h + u = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -6e + -1f?\nAnswer: -8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p\/p**(-1\/14)*p*p**(-1\/6)*p)**(-1\/6) assuming p is positive.\nAnswer: p**(-41\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vaannsvvaaavavn. Give prob of sequence nan.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = -3*p + 45 + 28, 5 = 5*p. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2152908456.\nAnswer: 2, 3, 1621, 55339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -4*s. Suppose 12*l = 14*l. Let t(u) be the third derivative of u**2 - 1\/60*u**5 + 0*u**3 + 0 + 0*u**4 + l*u. Calculate t(i(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 3*f - 4. Determine p(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 301.6117*5.\nAnswer: 1508.0585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -26807729*f - 228849365 wrt f.\nAnswer: -26807729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/7*91\/(-26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be (15\/3 - -2)*(-45 - -46). Suppose y - 5149 = -4*f, 0 = 4*f - c*y + 2*y - 5167. Does 76 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c + 2. Let u = -4 - -4. Suppose u*z = 2*z - 8. Calculate the lowest common multiple of q(z) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 23622 + -12085. What are the prime factors of s?\nAnswer: 83, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 225 and 2295500.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -87 - -91. Let c be (((-9)\/6)\/(-3))\/(-5). Let i be (1\/10*-2)\/1. What is the nearest to 0.1 in i, k, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-412)\/(-8))\/((-2)\/4). Let z = b - -827\/8. Are -1 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000820384635 rounded to 6 dps?\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvvvvv. What is prob of picking 3 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 25\/138 and -4\/391.\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -1\/2, 19406 in decreasing order.\nAnswer: 19406, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 266938?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -1245, -2471, -3731, -5043, -6425, -7895, -9471?\n\"Answer: -3*s**3 + s**2 - 1208*s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange r - 2*r + 3*r + (0 + 0 + 2*r)*(-1 - 5 + 3) + (-3 + 4 - 2)*(2 - r - 2) to c + b*r and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5581 - 5573. Which is the closest to 1? (a) -1\/7 (b) -0.049 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 849254 is divided by 53078.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 34.438 * 55\nAnswer: 1894.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be -10*(-1 - 1)\/4. Let j = -9 + s. Is -3 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 6595*i + 13611. Let z(a) = -3296*a - 6791. Let y(g) = -3*b(g) - 5*z(g). Find the first derivative of y(x) wrt x.\nAnswer: -3305","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that -o**4\/3 - 52*o**3\/3 + 119*o**2\/3 + 194*o - 216 = 0.\nAnswer: -54, -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3645917 - 29351?\nAnswer: -29350.6354083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*d + 2*d. Let l = 0 + d. Suppose -208 - 959 = -5*t - 4*u, 3*t + u - 703 = l. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1011001001000 - 0?\nAnswer: 1011001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.1 or -20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 106246?\nAnswer: 2, 7, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*n + 510 = 37*n. Suppose -q + n = 2*b, 3*b - 8*b + 145 = -q. Calculate the remainder when 139 is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**(-5))\/c*c**1\/c)\/((c**(-3\/4)\/c)\/c**(2\/5)) assuming c is positive.\nAnswer: c**(-57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -20*p. Is 12 a factor of u(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -16 + 17. Solve n - 5 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0 + 723*p**2 + 1 - 374*p**2 + 84*p - 363*p**2 as b + c*p + g*p**2 and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-2)\/(-3))\/((30\/1143)\/(-5)). What is the hundreds digit of (0 - 1) + (16 - t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/3 (b) 4 (c) -204\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the first derivative of s**2\/2 + 5*s + 4. Let a be h(-1). Solve a*o + 3 = 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 747.4 - 999. Let i = 7.6 + q. Let b = 217.3 + i. What is b rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -58*r - 41*r + 26*r - 803 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 363.3us?\nAnswer: 0.3633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -2313\/11 at least -210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let -h**3\/3 - 56*h**2\/3 - 305*h\/3 - 250\/3 = 0. What is h?\nAnswer: -50, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -4*g**2 + 130*g + 558. Determine x(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 697 minutes after 3:24 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(3168)*2)\/sqrt(2))**2*1.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -11, -13180, 246 in descending order.\nAnswer: 246, -11, -13180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rdw when three letters picked without replacement from {e: 1, d: 3, r: 2, w: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 45\/60*((-2)\/(-12))\/(-1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.08 + 12468?\nAnswer: 12467.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -10676.3 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 88*d + 81*d - 2*d**2 - 169*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*(-47)\/(10199\/(-62)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-8)\/1)\/((-254)\/(-1143))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-2))**(24\/11))**(-2\/9) assuming n is positive.\nAnswer: n**(32\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**2\/5 - 714*c\/5 - 10008.\nAnswer: 2*(c - 417)*(c + 60)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 21209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11290 is divided by 67.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 200 and 6758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 90 and 146.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let 5*g**5 + 90*g**4 + 460*g**3 - 350*g**2 - 8625*g - 17500 = 0. Calculate g.\nAnswer: -7, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**3 + k**2 - 2*k + 3140000. Let z be n(0). What is z rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(686)*2*-6)\/((sqrt(2) + sqrt(128)*-4)*-2).\nAnswer: 126*sqrt(7)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 6789 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 160\/7*y + 76\/7*y**2 + 16\/7.\nAnswer: 4*(y + 2)*(19*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = 3*w + 2*w - 17, -y = -w + 3. Let a(c) = c**2 - 4*c - 5. Let s be a(w). Let f = -41.6 + 42. Put f, 1\/9, s in decreasing order.\nAnswer: f, 1\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 444.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 36) + -3 + 2 + 52 + -57.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 129432, 129434, 129436, 129438, 129440?\n\"Answer: 2*n + 129430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -48*m - m - 882. What is the common denominator of 274\/60 + (-2)\/3 and (-7)\/(22\/4 + 12\/m)?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 14\/18 - 4\/(-18). Sort 0, f, -4, -11 in descending order.\nAnswer: f, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0003198 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 88707359?\nAnswer: 13, 61, 111863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.5? (a) 0 (b) 7 (c) -3\/5 (d) 2\/651 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2 + 10111?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 14? (a) 81 (b) 2\/11 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -11*g - 34. Let j(q) = -7*q - 19. Let v(z) = -7*j(z) + 4*s(z). Let a(w) = 10*w - 5. Give -3*a(u) + 5*v(u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1.72338347 rounded to 4 dps?\nAnswer: 1.7234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3034899 and 12.\nAnswer: 12139596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f + 40 = -5*f. Let y = 33 + f. Suppose y = 5*w - 5. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the third derivative of -5*m**4\/24 + 3*m**3\/2 + 111124*m**2. Let l = -3 + 9. What is k(l)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5467.\nAnswer: 7, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is (2\/(-6))\/(9\/(-157869)*3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 2*m - 1. Let k be z(10). Suppose v + 0*v = k. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 19305809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 3, -1\/2, -11.1 in decreasing order.\nAnswer: 3, 0.4, -1\/2, -11.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 9*j**2 + 2. Let b(n) = 36*n**2 + 9. Let q = -65 + 56. What is q*y(v) + 2*b(v)?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 192 + -85. Suppose -3*y + j + 148 = -3*t, 0 = -y + 3*t + 77. Suppose 5*r + 2*a - y = 0, -2*r + 3*a = -5 - 42. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*v**2 - 3*v**2 + 2*v**2)*(1095 - 602 - 198)*(-5*v + 0*v - 6*v) - v**3 + 0*v**3 + 2*v**3 as s + q*v + r*v**3 + u*v**2 and give r.\nAnswer: 3246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11 + 11 - 86 - 2*n - 34 - 18 - 11.\nAnswer: -2*n - 127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 926658.\nAnswer: 2, 3, 51481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Add -303156752.5401 and -14.\nAnswer: -303156766.5401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000383054343 rounded to 6 dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.3 (b) 3 (c) 4 (d) 2 (e) -0.95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 24697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1276 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3576107757?\nAnswer: 3, 37, 32217187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -11 + 59781 - ((-1)\/1)\/(7 - 6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -50, -107, -168, -233, -302, -375?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -651*d + 121 - 558 = -628*d for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.104? (a) 0.4 (b) 0.1 (c) 3 (d) 2\/19 (e) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) -1 (c) -3\/2 (d) -29\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -27\/46 + 2\/23. Let w = -675 + 12827\/19. Which is the fourth biggest value? (a) -0.2 (b) i (c) -2\/3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 3*t - 5. Let y be f(3). Suppose 2*s - 4 = 4*c, -y*c = -9*c. What is the remainder when 4 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from jjpfffpipfpeoj.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 521.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2 - -a?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange q - 4*q**2 - 347*q**3 + 349*q**3 - 2*q**2 + 15 to x*q**3 + d*q + i*q**2 + h and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 32 - 985*z + 410*z - 637*z. Let f be -2 - 76\/(-6) - 2\/(-6). Let h be u(f). What is h rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 7, j: 7, g: 4}. What is prob of picking 3 g and 1 j?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 4*d**2 - d. Let t be 4\/((-40)\/(-6))*5. Suppose 5*u - 7 = -3*k, -3*k + 11 = 4*u - t*u. Let g be w(u). Solve 4*z - 33 = g*p + 7, -p + 6 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -63 (b) -0.2 (c) 2\/645 (d) -2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-16*h**2 - 5*h**2 + 7*h**2)*((-h + 2*h - 3*h)*(5 - 5 - h) + 2*h**2 - h**2 - 2*h**2) to the form s*h + l*h**2 + v*h**4 + a*h**3 + x and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**3 - 8*n**2 + 37*n + 193. Let r be k(-10). Which is the third biggest value? (a) -5 (b) r (c) 4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 7 by 209.\nAnswer: 7\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 13649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2239\/3 - -759. Which is the nearest to 0? (a) -0.5 (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**34\/(p*p**(2\/31)) assuming p is positive.\nAnswer: p**(1021\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o**2 + 7*o - 8. Let r be p(-10). Calculate the greatest common factor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -7149, -13982, -20815, -27648?\n\"Answer: -6833*t - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) 4\/5 (b) 8754 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:54 AM and 7:13 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*o - 3*i + 82, 2*o + i + 3*i - 36 = 0. Let a = -15 + o. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 2\/9, 4\/3, 1\/233, -2\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*4*(sqrt(11) + -2) + 2 + ((4*2*sqrt(88) + sqrt(88))\/((2*sqrt(64) - sqrt(64))\/sqrt(8)))**2 + 4.\nAnswer: 12*sqrt(11) + 873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 268 and 3881424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**3 - c**2 + 1076. Let l be s(0). Let b(g) = l - 19*g - 1076. Let u(d) = -d**3 + 5*d**2 - 5*d + 5. Let t be u(4). What is b(t)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 526, 904, 1282, 1660?\n\"Answer: 378*y + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.7 and -0.2657143?\nAnswer: -0.18600001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-24)\/20)\/(-15*(-2)\/(-9)*1599\/(-325))?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 757260?\nAnswer: 2, 3, 5, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -49750980 divided by -20\nAnswer: 2487549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 729 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -81 + 88 + 2583\/(-84) + 10\/(-8).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -989 + 212 + 33466*t**2 - 66935*t**2 + 33470*t**2 to x*t + b*t**2 + n and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-22)\/4*(-228)\/5016.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 35230 divided by -6\nAnswer: -17615\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-11)*(-435)\/870.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 5, -0.4, -1, -3, 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 2*r = -0*p - 82, -3*p = 2*r - 118. Does 40 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 475 and 3200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 914*w - 22846. Let n be a(25). Let z = 2.5 + -3. Let x be 1\/(-2) + (-3)\/(-14). What is the closest to x in z, n, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*l - 2*l - 60. Suppose 41*n = 35*n + l. Solve 0 = -n*b - 3*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 (base 14) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 87 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -12 (base 3) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -d**2 + 4. Let s be j(-2). Let p(n) = n**2 + n + 91. Let z be p(s). What is the greatest common divisor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -179251, -360776, -542301, -723826, -905351?\nAnswer: -1086876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -644*k. Let p(l) = -28*l**2 + 3*l**2 + 26*l**2 + 0*l + 0*l. Determine i(p(g)).\nAnswer: -644*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -3*j - 1. Suppose -r - 15 = -11, -5*s - 2*r = 18. Calculate d(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -2*u + 6. Let l be k(7). Let r be (-9)\/6*l\/6. What is the second derivative of -4*q - 2*q**5 + 7*q - r*q wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*c**3 - 370851 - 370843 - 370851 + 1483407 - 370862.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q be (5\/(-2) + 0)\/((-44)\/(-88)). Let n = -10 + 10. Let s(a) = 4 - 8*a - a**2 + a + n*a**2. Give s(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3471 + 1791. Let j = f + 19561. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -603, -686, -769, -852?\nAnswer: -935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5, 1.01, 2?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55*s - 4 = 59*s. Let q be s\/(-6) - ((-1099)\/966 + 4). Is -4 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17 - 14 - 2*i**2 - 2*i**2 + 14.\nAnswer: -4*i**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5 - 10.5. What is s rounded to 0 dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 10\/(-3)*42\/(-5). Suppose 3*c - 14 = -4*b, 2*c - l = -5*b + 7*b. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 13, 20, 31, 46, 65?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q**3 + 4*q**2 - 6*q + 6. Suppose -5*v - 4*f + 16 = 0, f + 9 = 5*v - 12. Let m(j) = 2*j**3 - 9*j**2 + 13*j - 13. Give v*m(x) + 9*d(x).\nAnswer: -x**3 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -41\/512 and 109\/3584.\nAnswer: 3584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -11\/1306700?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k be (16\/(-40))\/(4\/20). Let t = 1 - k. Let w(l) = -26*l**2 + 2 + 2*l + 0*l - 5*l + 24*l**2. Let c(b) = 2*b**2 + 4*b - 3. Give t*c(r) + 4*w(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 1 + sqrt(171) + sqrt(171))**2*2.\nAnswer: 24*sqrt(19) + 1370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/3)\/(12160\/(-2432))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.15868805 and 1.966.\nAnswer: 2.12468805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1710*k + 735*k + 375*k - 3323*k - 2461*k.\nAnswer: -6384*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 2.39*118\nAnswer: 282.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 91\/388418460 and -41\/155367384.\nAnswer: 776836920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.2, -359\/4, -0.01?\nAnswer: -359\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24535.\nAnswer: 5, 7, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*g = -35 + 42. Let q be 9\/(-3)*g + -3. Solve 0 = -q*m + m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (6*-1)\/(-2) + 0. Let f(i) = -2*i**2 + 115*i - 357. Let s be f(53). Suppose -g*x + 0*y + 372 = -2*y, x = 2*y + s. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1339117?\nAnswer: 13, 239, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 43\/7 and (-98)\/(-10)*(-16)\/32.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 4*t**3 + 5*t**2 + 9*t - 30. Let f be k(10). Let v = 7931 - f. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 524*s**5*y + 2*s**2*y**3 + 11*s*y**3 + 23*s*y wrt s?\nAnswer: 10480*s**3*y + 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -390*n**2*y**3 + n**2 + 269*y**3 + y wrt n.\nAnswer: -780*n*y**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -79\/7 (b) 6 (c) -4\/5 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -92 - -132. Suppose 0 = 2*g - 4*m - f, 4*g + 2*m + m = 102. Let v be 126\/g + 2\/(-8). Solve 2*u + 13 = -5*b + 1, 2*b - 1 = v*u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -7 (b) -0.3 (c) -3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3176291.\nAnswer: 31, 102461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m be 42\/(-28) + 46\/36. What is the third smallest value in -4, 20, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -2\/5 (b) -26 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-12)\/44 - 752\/(-176). Solve -3*u - j = j + 2, -2*u = -o*j - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 10.9 + -11. Let o = -0.1 + 0.1. Let n = 3 - 5. Which is the second biggest value? (a) n (b) g (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 - (-7 + 4 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -5*n, -31 = 3*l + 4*n + 4. Let y be 126\/4 + (-2)\/(-4). Let g = l + y. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 560 minutes before 8:33 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -9*u. Suppose -18*o + 23*o = 0. Let y(j) be the second derivative of 0 + o*j**2 + 0*j**3 + 3*j + 1\/12*j**4. Determine y(z(g)).\nAnswer: 81*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -2679.176131 to the nearest 10.\nAnswer: -2680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*x - 17*x**3 + 11*x - 5*x.\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be 8\/(-4) + -3*10\/(-12). Let o(d) be the first derivative of -b*d**2 - 1\/3*d - 1\/12*d**4 - 1 - 1\/3*d**3. Let o(s) = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 474 + -278. Suppose -3*d = 2*s - 110, 4*d - 2*s + 26 - t = 0. What is the greatest common factor of d and 520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*l + 2*l = -15, -j = 4*l - 69. Let g(z) = 104*z**2 - j*z**2 - 108*z**2. Let h(p) = p. Determine h(g(w)).\nAnswer: -61*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = -102883 - -144796. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.006707223 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose v**4\/2 + 5*v**3 + 23*v**2\/2 + 7*v = 0. Calculate v.\nAnswer: -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(2*((sqrt(448))**2 + -5 + -5) - (sqrt(175) + 0 - (-3 + sqrt(448)))).\nAnswer: -1746 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -28 in 49, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4524 and 4676.\nAnswer: 5288556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:44 AM and 11:55 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 73*m + 59*m - 147*m in the form n + x*m and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -5\/42 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 493 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 86279341 a multiple of 7589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*s - 6*s = 0. Suppose 3*d = 4*u + 4 + 12, 4*d - 5*u - 20 = s. Let r be 2 + -1 - (d + 5). Which is greater: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39 minutes before 8:43 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -f**2 - 14*f + 7*f + 12*f. Let a(t) = t. Let y(r) = 3*a(r) + x(r). Factor y(w).\nAnswer: -w*(w - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -36*p - 17. What is the units digit of x(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 446 minutes after 12:17 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2211 and 603?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:51 AM and 3:07 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 85\/75 + (-1 - 0).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -142, -401, -804, -1351, -2042, -2877?\nAnswer: -3856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 18\/5*260*(-360)\/(-3510)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1766*n**3 + 1984*n**3 + 5848*n - 1911*n + 282*n**3 wrt n.\nAnswer: 24192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001000101010111010 + 11?\nAnswer: -1001000101010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jqq when three letters picked without replacement from {p: 4, h: 4, q: 3, j: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (5*w**3 - 6*w + 6*w)*(25370 - 158*w - 25370) - 2*w**3 + 0*w**4 + 2*w**4 - 4*w**4 as r*w**3 + t + y*w**2 + k*w + n*w**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 204294767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 14a + -56?\nAnswer: e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -23 = 8*a - 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is (3 - (-52)\/(-20))\/(2\/56215) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1267*h**3*q**2 - h**2*q**3 + 2877*h**2 - 120*h*q**2 - 68*h - 2*q**3 + 2*q**2 + 4*q wrt h.\nAnswer: 7602*h*q**2 - 2*q**3 + 5754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 668 - 224 = 4*y. Let u(x) = -2*x - y*x**2 + 0*x + 110*x**2 - 1. Let q(n) = n. Calculate -3*q(t) - u(t).\nAnswer: t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the third derivative of o**5\/10 - 3*o**4\/4 + 49*o**3\/3 - 3*o**2 + 3*o. What are the prime factors of u(9)?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 5*s + 16 + s + 9*s - 19*s**2 + s + 17*s**2. What is b(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + (4 - (-4 - -4)) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 11366.6 rounded to the nearest one hundred?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*m - 3*x = -5*x + 18, 10 = 2*m - 2*x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/6*((-12)\/20)\/((-10)\/(-50)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*p**3 - 2934256 + 0*p**3 - 3*p**3 + 4*p**3.\nAnswer: 5*p**3 - 2934256","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -g**3 + 5*g**2 + 2*g. Let z be b(0). Solve z = -10*t + 1 - 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*d + 3*t = 39, 8*d + 4*t = 4*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Solve 223*p + 586*p + 10517 = 0 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -331 - -5?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2880 + -819?\nAnswer: -3699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/6*(-12)\/(-2). Differentiate -4 + 0 - 3*v**2 - z*v**2 with respect to v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5 - (-25 - (-12 - 3))) + (-23 - 0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fwa when three letters picked without replacement from ffzwawxxfwwi.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l be 108 - 119 - 78\/(-7). Which is the biggest value? (a) l (b) 4 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 8, 0, -8 in descending order.\nAnswer: 8, 5, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 4*i + 5 = 0, 4*z + i + 29 = 5. Let h be 1\/(-7) - 22\/z. Solve -2*t = h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 58*r - 8. Let o(v) = v**2 + 38*v + 355. Let k be o(-20). Let d(w) = 39*w - 5. Give k*i(t) + 8*d(t).\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 27*k**6 + k**4 + 377078*k**3 + 284512520*k**2 wrt k?\nAnswer: 3240*k**3 + 24*k + 2262468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ffffcfffcc. Give prob of picking 3 c and 1 f.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 8*a*o*r**3 - 65*a*o*r**2 - 13610*a*r**3 + 361*a*r**2 - o*r**3 + 41*r**3 + 116*r**2 wrt r.\nAnswer: 48*a*o - 81660*a - 6*o + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 507115 is divided by 507101?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -2*s**3 + 2*s**2. Let t(k) = 4*k**3 - 5*k**2. Suppose -5*p = -21 + 6. Suppose 1 + 14 = p*j. Suppose j*d - 9*d = 20. Give d*v(m) - 2*t(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -57 + (-1 - (0 + -31 + 16)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -709.14 + 5.44. Let k = -761 - a. Round k to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*i - 3*p - 36, -i + 4*p - 307 = -313 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uury when four letters picked without replacement from {y: 6, u: 2, v: 3, d: 1, r: 1}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-5)\/l*l\/(l*l**(-1\/2)))\/(l\/l**1*l)**13)\/(l\/(l\/l**(-1\/4))*l**(-11)\/l)**(-1) assuming l is positive.\nAnswer: l**(-123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2420*y**3 + 7748*y**3 - 5325*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1056278 and 95880.\nAnswer: 1598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-13)\/39 + 5\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 1000 (base 2) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bkk when three letters picked without replacement from {k: 6, b: 2, x: 3, t: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yuu when three letters picked without replacement from {y: 1, u: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 539 minutes before 3:43 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 63f (base 16) to base 4\nAnswer: 120333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 3*w - l + 40, -4*w = -2*l + 52. Let r be 6\/w + (-2)\/(-4). Solve -3*d + 2*d + 5 = r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.11 - 0.43. Let q = -24363 + 24363.32074. Let t = x + q. Round t to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 655 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 3, w: 1, u: 4, d: 2, e: 4}. What is prob of picking 1 e and 1 i?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = -568 + 688. Calculate the highest common factor of 60 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 18*g**2 - 140*g - 25. Give u(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/50 + (-1332)\/5400?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.4 - -0.4. Let n = -0.24 + 0.14. What is the nearest to x in n, -1, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 507, -2, -4 in ascending order.\nAnswer: -4, -2, 1, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -2*o**2. Let z(t) = -3015*t. What is f(z(a))?\nAnswer: -18180450*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 6*b**2 - 19 - 13 + 50 - 8 - 12*b + 24*b**3. Calculate the remainder when v(2) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -15 divided by 72\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 476 - 413 - (57 - -14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1076810 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3468 + 668 = -7*w. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q**2 + 3*q + 1. Let d be o(-2). What is the units digit of 40\/(d - -3) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x**(-1\/3)\/x))\/x**(1\/9))\/((x*x**(4\/3)\/x)\/x**(1\/17)) assuming x is positive.\nAnswer: x**(145\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 46, 117, 236, 403?\n\"Answer: 24*c**2 - c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x**3 + 12*x**2 + 7*x - 3. Let c be j(-10). Let u = c - 88. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 10886*o**3 + o**2 - 102*o - 200. Let w be g(-2). What is w rounded to the nearest 1000?\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 12\/16 - 10\/(-8). Let l(x) = -2*x. Let n = -8 - -6. Let r(m) = -m. Let h(f) = n*r(f) + t*l(f). Let o(v) = -2*v. Calculate h(o(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(612)*1 - (sqrt(612) - (sqrt(612) + sqrt(612)*-2 + sqrt(612) + 5)) - (-3 + (sqrt(612) - (3 + 3 + sqrt(612)))))**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6.48 - 6.18. Which is the fifth biggest value? (a) j (b) -4 (c) 0.4 (d) 2\/7 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (58 + 15 - 18 + f)*(2*f**4 - f**4 + f**4).\nAnswer: 2*f**5 + 110*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 12, 25, 44, 69, 100?\n\"Answer: 3*c**2 + 4*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-101475)\/1386 - 1898\/(-26)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4547 rounded to two decimal places?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the second derivative of 1\/10*d**4 + 1\/150*d**6 + 1\/10*d**2 + 0 + 1\/25*d**5 - 4*d + 2\/15*d**3. Factor z(y).\nAnswer: (y + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10a6a6 (base 11) to base 2.\nAnswer: -101010110001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 6269725250 to the nearest one hundred thousand.\nAnswer: 6269700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**3 + 11*v**2 + 474*v - 5661. Calculate d(12).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*g**3 - 27*g**2.\nAnswer: 3*g**2*(g - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 509 + -370 + -64 + -12?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 373 minutes before 12:43 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) be the third derivative of 2*h**5\/15 + h**4\/24 + 4*h**3\/3 + 11*h**2. Let o be d(4). Suppose 6*m - o = m. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 87\/(4 + 33\/(-9)).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 91187862.\nAnswer: 2, 3, 15197977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + 4 + 20 + (-10 - (-9 - 11))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.1 and -294751.\nAnswer: -294751.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*j**2 + 5 - j**2 + j**4 - 14*j**3 - 15 - 2*j + 20 - 7 to the form p + u*j**4 + c*j + y*j**2 + n*j**3 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -2*c**2. Suppose -f + 35 = -3*x, 2*f + 0*x + 5*x = 26. Suppose 4*w = -15 + f. Let v(u) = 10*u**w + 2*u**2 + 3*u**2. Calculate v(b(l)).\nAnswer: 60*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 6824.7g?\nAnswer: 6.8247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 332375.6672 to the nearest 10.\nAnswer: 332380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22009.\nAnswer: 13, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39 = 4*a + 11. Suppose a = 2*d + 5*l - 13, d - 2*l = -8. Suppose 0 = -2*f + 2*c + 20, d = 2*f + f + 3*c - 6. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + k - 53 = -4*k, 0 = -4*a + 3*k + 119. Calculate the remainder when a is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000005957 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) be the second derivative of 2*i**7\/21 - 16*i**6\/15 + 21*i**5\/5 - 22*i**4\/3 + 16*i**3\/3 - 17*i. Determine q, given that v(q) = 0.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tgiigbtvm. What is prob of sequence vi?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 - -5. Let j(z) = -d*z**2 - 9 + 7*z + z**3 - 3*z**2 + 2*z. What is the units digit of j(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 661, 1256, 1849, 2440, 3029?\n\"Answer: -u**2 + 598*u + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 1324*c + 25969 = 51961 + 89196 for c.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 33 = -0*r. What is the common denominator of 0 - 16\/r - -3 and 1\/1 - (-1 + -19)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -5, 1, 5, 40\/3, -0.3?\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 59*g - 34*g - 2*g**4 - 115*g**3 - 3*g**2 - 27*g + 4*g**2 to the form w*g + o + i*g**4 + s*g**2 + b*g**3 and give b.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be 5 + ((-5 - -2) + 2)*0. What are the prime factors of ((-23)\/4)\/(i\/(-20))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.0755+-2\nAnswer: -2.0755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 112210 - 1102012001200?\nAnswer: -1102011111220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 4637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 25*p**2 - 3*p + 70834*p**3 - 70836*p**3 - 4 + 7 + 3*p to the form w*p**3 + h*p**2 + a + s*p and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -14 (base 8) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3*112.\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-8)\/(-28) + 0 + (-2)\/7. Suppose i = 9*u - 32 - 40. What is the lowest common multiple of u and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(48)\/(sqrt(2)*-2))\/(sqrt(48)\/(sqrt(12)\/sqrt(2))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**2 + 25*t - 6. Let s be u(-26). Find the second derivative of -s*d**2 - 3*d - 45 + 12 + 16 + 13 wrt d.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -76*x**3 - x**2 + 1. Let r be s(-1). Suppose 8*o = r - 4. Solve 10*v - 13*v - o = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that u**4\/5 + 47*u**3\/5 + 708*u**2\/5 + 3132*u\/5 - 3888\/5 = 0.\nAnswer: -18, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 + -1173378442202?\nAnswer: -1173378442202.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1028782 or 1028601?\nAnswer: 1028782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - ((58 - -7) + -7)) + (17 + -6 - 25)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:57 PM and 3:02 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1719, 12.3, -3, -1\/8?\nAnswer: -1719","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*w + 8*w + 6 + 0*w - 15*w.\nAnswer: -11*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 924*q**2 - 7496*q + 11712.\nAnswer: 4*(q - 6)*(231*q - 488)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -v - 1 + 3, 0 = 5*k - v + 14. Let g(x) = -8*x + 38. Calculate the remainder when 214 is divided by g(k).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6094320 to the nearest integer?\nAnswer: 2469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 705 a factor of 2186432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 6863568149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j - 3. Let o(d) = -d + 6. Let f(s) = 2*c(s) + o(s). Let q(v) = 3*v - 4. Calculate q(f(l)).\nAnswer: 3*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dfee when four letters picked without replacement from {f: 5, e: 3, p: 5, d: 2, n: 5}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2\/119 + 353\/238. Let t = 1.8 + -0.5. Let m = -1.2 + t. Is m greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 372592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((0 - 0) + 3995)*(-13724)\/(-940)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1146 - (-4 - (2 + -8)). Suppose -3*z + 271 = x, -3*z + 0*z - p = -4*x. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 < -12\/152310403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1000 and 5948875.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -161.99245 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 8047*p**3 - 8047*p**3 - 432*p**4 - 743*p wrt p?\nAnswer: -5184*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -53 times 35831\nAnswer: -1899043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -173 - -58. Let w = -1033\/9 - h. Find the common denominator of w and -109\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y**2 + 4*y + 1. Let t(w) = -w - 1. Let f = -2893 - -2894. Determine f*g(v) + 2*t(v).\nAnswer: -v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-2)\/(-16))\/(78\/1404). Let k(a) be the first derivative of 0*a + 11 + 0*a**2 - 4\/3*a**3 - b*a**4. Find the third derivative of k(z) wrt z.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.11753l in millilitres?\nAnswer: 5117.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 559666908 and 1134.\nAnswer: 3917668356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 176*t = -155*t + 116961167. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j + 27. Calculate g(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -99\/84953272 and -13\/63714954?\nAnswer: 254859816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = p. Let n = 1 + 1. Suppose 8 = -5*l + 23. Suppose -n*a + j = l, -3*a + 9 = a + j. Let c(s) = -1. Determine a*c(i) + 2*o(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7212*l**5 - 3*l**4*z + 554*l*z wrt l.\nAnswer: -144240*l**3 - 36*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7634505 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 5.047394 centuries?\nAnswer: 6056.8728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.62 + -1.31. Let q = a - -14.39. What is q rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i + 29 - 32 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 25886 (base 14) to base 13\nAnswer: 32ca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5a98 + 201?\nAnswer: 6199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:51 AM and 2:53 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b = -5*b - 46 + 4 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the third derivative of t**5\/30 - 6001*t**2. Let v(d) = -2*d + 393. What is u(v(l))?\nAnswer: 8*l**2 - 3144*l + 308898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 + 6. Suppose -4 = -w*v - 2*v. Suppose -v = -k + 2. What is k rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 852*a + 20860 = -2238*a - 112010 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that -8*m**5 - 838116*m**4 + 1257204*m**3 + 1257164*m**2 - 2933436*m + 1257192 = 0.\nAnswer: -104766, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 44442041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**4 - 435*w**3 + 4704*w**2 + 11172*w.\nAnswer: 3*w*(w - 133)*(w - 14)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q + 1. Let j(l) = -l - 16. Let k(a) = -j(a) - 5*x(a). Suppose -5*n - 40 = 3*p, -n + 22*p + 5 = 20*p. List the prime factors of k(n).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -280 - -285. Calculate the highest common factor of j and 1735.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*s - 3*s + 3*k + 89, 0 = 4*s + 5*k - 373. Let f = s - 164. Let v be f\/(-7) + 2\/(-7). Calculate the highest common divisor of 30 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 divided by -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -302*j**2 + 365*j**2 + 588*j**2 + 378*j - 1821*j wrt j.\nAnswer: 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Total of -0.3182817887 and -0.09.\nAnswer: -0.4082817887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 36, 41, 48, 57?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bu when two letters picked without replacement from bubuubblbibblubblb?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -3*u**3 - 785*u**2 - 1296*u + 1079. Calculate j(-260).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2.435 - 2.235. Let y = 0.3 + -3.3. Which is the nearest to y? (a) -1\/5 (b) 1\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 61\/155 and 24\/48935.\nAnswer: 1516985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -9*p**3 - 1075*p**2?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(24\/(-28))*(306\/(-45))\/(-17).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, 4\/11, -1422.\nAnswer: -1422, 4\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, 24.7, 14\/45 in ascending order.\nAnswer: 14\/45, 0.5, 24.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-9)\/12 - (-615)\/20. Which is greater: 31 or q?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -4456.747912326 and 0.09.\nAnswer: -4456.657912326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 30 = -3*r + 4*l + 21, 3*r - l = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 0, -4\/11, 1.4, -0.2?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1\/5)\/(3\/(-17913)). Let y = -1206 - k. Let u = 36\/55 + -1\/5. Find the common denominator of u and y.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1407619235?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of 239 and 3021.35.\nAnswer: 722102.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 376679 + 103319. Suppose 3*w - t = o, 2*w + 3*t = 2*t + 320002. Round w to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 127802760 divided by -5155\nAnswer: -24792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.4, -2, 6, 202, 4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be (721383\/(-4))\/(-13) - (-1)\/4. Suppose -23171 = -5*v - 5*n + n, 5*n = 3*v - g. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2 - (8\/(-24) + 82\/(-42)). What is the second biggest value in -5\/2, 0.4, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1051 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h - 21 = -o, 5 = 40*o - 43*o - 5*h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 122*l + 4 = 492. Suppose 2*p = -4*r - 34, r = -2*r - p - 26. What is the nearest to r in 0, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -5\/19 and 13\/95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 45*p. Let w(s) = 18*s. Let h(o) = -5*c(o) + 12*w(o). Suppose -2*l + 2 = 4*m - 4*l, 2*l - 6 = 0. Let z(y) = y + y + y - m*y. Determine z(h(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-6)\/8)\/(((-6)\/40)\/1). Which is the third biggest value? (a) 0.16 (b) 0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -434 + 466. What is the remainder when g is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5 - -8. Suppose -3*q + 2 = b, -q - u + 0 = 4*b. Let h(i) be the third derivative of i**5\/12 + i**4\/24 + i**3\/6 - i**2. Calculate h(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 301518 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1669 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 - -110110111?\nAnswer: 110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a**3 + 9*a**2 + 17*a + 34. Is s(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 51030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -9 - 3 - d**2 + 10*d + 1. Let o(c) = -364*c + 161. Let v be o(4). Let b = -1285 - v. Calculate m(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 3*r**3 - 1)*(-80*r + 71*r - 59*r) to l*r**2 + n + a*r**3 + j*r + h*r**4 and give h.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + z + 3450 = 0. Suppose 3*g - 4*g = -z. Let b = g + -13779\/8. Calculate the common denominator of b and 7\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6.0786853 rounded to two dps?\nAnswer: -6.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d\/(d*d*d**(1\/4)*d)))\/d*d)**(1\/26)*(d**(-1\/2)*d)\/d*d**(-2\/3) assuming d is positive.\nAnswer: d**(-25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 57 + 4*v - 24 - 2*v**4 - 34 - 3*v**3 - 5*v - 2*v**2 in the form f*v + q*v**3 + c*v**2 + y*v**4 + r and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 2 - 4 = 0. Find the third derivative of -3*x + 3*x - 2*x**n + 0*x**5 - 2*x**5 wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -2*s**2 + 17*s + 14. Let x be i(9). Suppose -u = -5*t + 4, 3*t + 2 = 2*u + 3*u. Calculate the highest common divisor of t and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 101*z = 118*z - 119 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 176 minutes before 12:00 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*l**4 + 0*l**4 - 5*l**4 + (-3*l**3 - l**3 + 6*l**3)*(-2*l - l + 5*l + (-l + 3*l - l)*(-3 - 2 + 6)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -30976 - -30971. What is the nearest to -137 in -3\/5, q, 0.03, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h**3 + 5*h**2 + 28*h + 155. Let g be i(-5). Solve -f + z + 3 = 7, -4*f + 3*z = g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 34*v - 5. Let k(y) = -100*y + 15. Let p(u) = -2*k(u) - 7*s(u). Let j be -3 - (-2)\/6*-3. Does 35 divide p(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -3*b. Let d be q(-12). What is the highest common divisor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 21*f**3*w**3 + f**3 - 7*f**2*w**3 - 237008*f**2*w**2 + 287*f*w**3 wrt w.\nAnswer: 126*f**3 - 42*f**2 + 1722*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f - 31 = 3*t - 40, 13*t = 4*t - 31*f - 21*f - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 156\/5 - 653\/15. Let y = -359 + 184. Calculate the common denominator of z and 25\/y + 200\/(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 72346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18 + 20 - 3*y**2 - 56 + 18.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 4 + 1)*(-4*j - 3*j + 5*j) + 0*j + 4*j - 2*j - 16*j - 33*j + 29 + 50*j.\nAnswer: 7*j + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence egrc when four letters picked without replacement from {e: 1, j: 2, g: 1, c: 2, n: 3, r: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 701269, 1402539, 2103809, 2805079, 3506349, 4207619?\nAnswer: 4908889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 616941 and 975?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 55642?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5 + -10. Let c be (7\/14)\/((-1)\/4). Let k = c - b. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 61.04909ml?\nAnswer: 0.06104909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + 0 - (5 + (2 - 9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 80234048?\nAnswer: 2, 41, 30577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -215*a**4 + 2*a**3 - 70861*a**2 - 424852027?\nAnswer: -860*a**3 + 6*a**2 - 141722*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 5*n + 70. Let b = 134 + -146. Let t be h(b). Solve 13*l - 15*l + t = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-y + 3*y - 3*y)*(7*y**3 - 8 + 8)*(y - 6*y + y).\nAnswer: 28*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 12696*d = 13091*d + 1975 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 4*p - 148 = 0, 137 = -6*b + 10*b + 3*p. Calculate the remainder when 85 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -1586*v + 792*v + 806*v + 40 - 24*v**2 + 4*v**3 = 0. Calculate v.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*l**2*s**4 + 431291*l**2*s**2 - 898825*l*s**4 - 4*s**2 wrt s.\nAnswer: 48*l**2*s - 21571800*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.2303009733 and -255.\nAnswer: -255.2303009733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10083650 is divided by 6370?\nAnswer: 6310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 473, -35, -5, -569 in decreasing order.\nAnswer: 473, -5, -35, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -561. Let s(z) = -11501. Let h(f) = 41*l(f) - 2*s(f). Let x(d) = -8*d + 4. Let a = 0 + -2. Determine a*h(c) + x(c).\nAnswer: -8*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 * -5608819.4.\nAnswer: 560881.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -1 + 3 - 6 + 3 - o. Let j be i(-5). Suppose g = j*g. Which is the closest to g? (a) -4 (b) 1\/21 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 57 - 1066. Let q = o + 992. Which is the nearest to -1? (a) 2\/11 (b) 0.2 (c) q (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14341468 a multiple of 1298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -1\/4 (b) 5 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tjjjggjggnggjmj. Give prob of picking 1 t, 2 g, and 1 n.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1826549.\nAnswer: 1826549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.049 + -0.049. What is the closest to -3\/4 in -0.3, 0, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -261, -361, -497, -663, -853?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose p**2\/7 - 53979*p\/7 - 19069830\/7 = 0. Calculate p.\nAnswer: -351, 54330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 70 a factor of 510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - d**3 + d**3 + d**3 + 1.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7*(-8)\/420*-5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 955.4484408 - 1107.448453. Let d = y - -152. What is d rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 70 = -33*x + 28*x, 3*o = -4*x + 65. Calculate the greatest common factor of 21 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - (-37 - -22 - 31)) + 15?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -6 + 2*o**2 + 0 + 3*o + o**3 + 4 + 0*o**3. Let z(b) = 6*b**3 + 10*b**2 + 15*b - 11. Let t(l) = -22*u(l) + 4*z(l). Factor t(c).\nAnswer: 2*c*(c - 3)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x - 5*m + 68 = 0, -x + 16*m - 40 = 13*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:34 AM and 2:12 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*s + 8*s + 12*s - 27*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*t - n + 105, 2*n + 80 = 3*t + 3*n. Let m = -15 + t. Calculate the remainder when m is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is j in -2*j**3 - 124*j**2\/5 - 222*j\/5 + 36 = 0?\nAnswer: -10, -3, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 290807 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 78163?\nAnswer: 78163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 47102057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*t + 17 = -7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -0.6, 28, -0.1, -1\/2, 5, -2\/67 in decreasing order.\nAnswer: 28, 5, -2\/67, -0.1, -1\/2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h + 1. Let k(b) = 3*b**2 - b - 4. Let q(r) = k(r) + 2*s(r). Suppose f + 3*i = 3*f - 3, -24 = 5*f + 3*i. Does 11 divide q(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 722398 smaller than 722400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2*((0 - -4) + -3). Suppose 0*k - 2*k = -4*d + 12, 2*d + 6 = -i*k. Let p(o) = -4*o + 513399 - 513399. Give p(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 190397555147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h - 7*r - 12 = -3*r, 0 = -2*h + 5*r - 3*r + 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the second derivative of 13*j**7\/2520 + j**5\/60 + j**4\/6 + 3*j. Let u(z) be the third derivative of o(z). Is 18 a factor of u(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 4*j = 20. Let g(q) = q**2 - 6*q + 7. Let k(f) = -2*f + 2. Let n(r) = j*g(r) - 14*k(r). Find the second derivative of n(a) wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/8, 36\/7, 3\/2, -0.3, 0.3 in decreasing order.\nAnswer: 36\/7, 3\/2, 0.3, 1\/8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -28, -52, -78, -106, -136, -168, -202?\n\"Answer: -l**2 - 21*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 504 - -1765?\nAnswer: 2471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) be the second derivative of z**4\/12 - 5*z**3\/2 + 14*z**2 + 11*z. Let g be v(13). Solve 3 - g = y + s, 45 = -5*y + 5*s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of ((-15)\/6 - 2)\/(24\/(-32)) and (-2 - -4)\/(6\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(2\/5)*h)\/(h\/(h*h*h\/(h\/(((h**(-3\/7)*h)\/h)\/h))*h)))**(2\/45)\/(h**(-1\/8)\/h*h**2*(h**(-1))**(-1\/15)) assuming h is positive.\nAnswer: h**(-3587\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*s - s = -100. Suppose s*z = -7695 + 26740. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 104729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -2*k**3 - 10*k**3 + 2 - k**2 + 9*k**3 + 1996*k - 1961*k as y + a*k**3 + o*k + n*k**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*n**3\/7 - 38*n**2\/7 + 152*n\/7 - 24.\nAnswer: 2*(n - 14)*(n - 3)*(n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/(t\/(t\/(t**(-1\/51)\/t)))*t**(-1\/16))\/(t**(-4\/23)*t)**(-30\/7))**(4\/27) assuming t is positive.\nAnswer: t**(722237\/886788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1305 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*b + 2*b + 10*b**2 - 4*b - 6*b**2.\nAnswer: 4*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, -2186, 106, -1.\nAnswer: -2186, -1, 0.3, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*((2 + sqrt(7))*-3 + -1))**2.\nAnswer: 672*sqrt(7) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:35 PM and 12:16 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 7*a**3 + 77044*a**2 + 4*a - 77044*a**2 + 25 in the form d*a**3 + b*a**2 + p + i*a and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 128 = 17*a + 206 + 58 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*q**3 + q - q + (3 + 7 + 2)*(-q**3 - 3*q**3 - q**3).\nAnswer: -67*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 62809 is divided by 349.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 19 - 14. Let q = 7 - i. Calculate the remainder when (q - 0 - -36) + -3 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 20113107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l - 198 = -5*d + l, 5*l = 5*d - 190. Let n = 70 + -34. Let p be (n\/60)\/((-1)\/(-15)) - -1. Calculate the highest common factor of p and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 269554981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -5\/6 (b) 1\/2 (c) -37 (d) 0 (e) -538\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1732309766?\nAnswer: 2, 11, 83, 383, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (-6 + 18\/(-189)*-43).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**2 - 2*s - 2. Let m(l) be the third derivative of -l**5\/60 - l**4\/12 - l**3\/6 - 20*l**2. What is -4*m(j) + 3*v(j)?\nAnswer: j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o**3 + 14*o**2 - 34*o - 29. Let l be j(-16). Suppose 2 = l*z + 5. Is z <= 2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 56\/35*(50\/(-15))\/((-80)\/30). What is u in 56\/3*u - 392\/3 - 2\/3*u**o = 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (-4*2*sqrt(68) - sqrt(68)) + -4 + -5 + 1)**2.\nAnswer: 216*sqrt(17) + 5544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -84 - -85. Put 3, 5, 2, w in ascending order.\nAnswer: w, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 943019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 499*l = -496*l + 2337, 4*l + 12 = 0. Calculate the lowest common multiple of k and 126.\nAnswer: 24444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in twenty-one quarters of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the third derivative of j**5 + 21\/20*j**6 - 18*j**2 + 2*j + 1\/3*j**4 + 0*j**3 + 0 + 7\/30*j**7. What is t in x(t) = 0?\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(153)*-3 - (-4 + sqrt(153)*-3))*-3)**2*3.\nAnswer: 3888*sqrt(17) + 149148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 93521933729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3953145 is divided by 2370.\nAnswer: 2355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 55*n**2 + 12*n - 18. Let o(l) = -54*l**2 - 10*l + 17. Let w(d) = 4*o(d) + 5*z(d). Is w(23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -2*t - 4. Let g be i(-4). Let o = 3 - 4. Put g, o, -3 in descending order.\nAnswer: g, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(2\/23)*y**(-2\/13)*y**(-2\/13)\/y**7)**(-47))**(-1\/12) assuming y is positive.\nAnswer: y**(-101473\/3588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1596 + 1611. Let j be 12\/(-9)*6\/(-28). Which is the closest to q? (a) j (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (29 - 17 - 69)*(-l - l + 4*l).\nAnswer: -114*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -92 + 5*a**5 - 1259*a**3 + 3*a**4 + 1240*a**3 - 13*a**5 - 4*a**2 wrt a?\nAnswer: -480*a**2 + 72*a - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.61 * 0.7125623.\nAnswer: 0.434663003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from {s: 5, q: 7}?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21033*r - 84110*r + 21024*r - 12 + 21027*r + 21027*r.\nAnswer: r - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x + 1. Let b be 1\/4 + (-950)\/(-200). Let t(f) = -f - 2. Give b*j(y) + 4*t(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 39*p + 178. Let d(h) = -20*h - 89. Let l(n) = 5*d(n) + 2*t(n). Differentiate l(k) with respect to k.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1012 and 132388.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 1\/20 of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3586343 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-2680)\/(-250))\/((-2)\/(-180)). Is 966 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 14\/1274*13*(-182)\/676\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 39943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 345 and 13731?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + d = 24, 3*f + d - 8 = 2*d. Find the second derivative of -f*x - 2*x + 2*x**2 - x**2 + 4*x**2 wrt x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 205*f - 3942 = 1798 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -155*x + 6. Determine s(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-176)\/5808)\/((-5)\/6 + 1).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z + 3*j + 55, 0*j = -3*z - 3*j + 15. Suppose 4*d - 5*m - 6 = 84, z = d + 5*m. What is the remainder when d is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0184477 rounded to 5 dps?\nAnswer: -0.01845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -85.92 take away -2.0199?\nAnswer: -83.9001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 67 != -57\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = n**3 - 4*n**2 + 6*n - 1. Let d be v(2). Suppose 3*r + d*w = 132, 4*w = -r - 1 + 45. What is the least common multiple of 24 and r?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y**4\/9 + 388*y**3\/9 + 382*y**2\/9 - 772*y\/9 = 0. What is y?\nAnswer: -193, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 289 a factor of 19074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w - 9*y + 4*y + 169, 0 = -5*w - 2*y + 250. Calculate the common denominator of -2*(3\/w)\/(3\/234) and -43\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k - 7. Let p be s(4). Let y be p*2\/(-12)*28. What is the derivative of 22 + y*l**2 + 7 - 45 wrt l?\nAnswer: 28*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3*(2\/(-3))\/(-1) - -1. Solve o + 0 = -l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is l in 5*l**5 + 5735*l**4 - 1874275*l**3 + 139217885*l**2 - 404619910*l + 267270560 = 0?\nAnswer: -1424, 1, 2, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 6 = 2*v, -3*v = 2*o - 16 - 15. Let n(u) = 47*u**2 - 11*u + 10. Let k be n(o). Suppose -k = -12*p + 2*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 28*p + 2271 - 2663 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 3047402145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -97bc0 (base 16) to base 7\nAnswer: -5165652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 3*j**5 + 60*j**4 - 4725*j**3 - 61710*j**2 + 1648032*j + 1704960 = 0. What is j?\nAnswer: -37, -30, -1, 16, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1150*a = 763*a - 337*a - 11032. Suppose 2*n = 5*n. Solve -a*f + 11*f - 16 = n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/5)\/((-9)\/(-2) - 4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 630297367 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1088051)\/68 + 1 - (-2)\/(-8). What is r rounded to the nearest 100?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -34 - -21. Let y = 13 + q. Which is the nearest to 0? (a) -5 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**2 - 27*t - 107. Let i be g(-22). Let z be i - (-181505 - -5 - 12\/(-4)). What is z rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 788b7b + 1?\nAnswer: 788b7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3883.9083961 + 3589.90829. Let l = -294 - d. What is l rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 9*c - 2. Let n(v) = 67*v - 4. Let k be n(0). Let t(f) be the first derivative of -4*f**2 + 2*f - 1. Calculate k*s(z) - 5*t(z).\nAnswer: 4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 31637 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*n = -18*n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 2 a when three letters picked without replacement from oaadooddddodddaad.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h**2 - 2*h - 12. Let p be f(5). Determine i so that 7*i - i + 3*i**p + 16*i**2 - 7*i**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**(3\/2)\/q)**(2\/7)\/(q*q**(-2\/15))**(-1\/9) assuming q is positive.\nAnswer: q**(496\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 182 by -9931.\nAnswer: -182\/9931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 45472823?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 139 a factor of 4142895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 21*p**2 - 2292*p + 116. Determine m(109).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.037 - -194.\nAnswer: 193.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify m\/m**(-22)*m**6 assuming m is positive.\nAnswer: m**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -19 - -21. Let w be (-2)\/4 + (-33)\/(-6). Suppose 5*j - w*v = 10, 2*j = 7*v - 2*v + 16. Sort -4, j, t in increasing order.\nAnswer: -4, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - (-4 - 0)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -4*u**3 + u**2. Let b be l(-1). Suppose -5*v + b*z = -25, -3*v + 10 + 3 = -2*z. Is 18 a factor of -34*3\/(-2) + v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange b - 3 - 20*b**3 + 11*b**3 - b to the form a*b**3 + l*b + g + y*b**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*g**3 + 18*g**3 - 30 + 29.\nAnswer: -5*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-11) - (10 + (-30702)\/3234).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**3 - 4*x**2 + 19*x - 207. Determine m(9).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*q - 453 - 1117. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*q + 100 = -20*q. Calculate the highest common divisor of q and 255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (sqrt(13) + sqrt(13) + -1)**2 + (sqrt(13) - (2 + 0 + sqrt(13))))*-2.\nAnswer: -108 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 18336031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 15 = -2*f. Let d = f - 0. Suppose -3*r = c, 0*r - 2*r + d*c + 11 = 0. What is the greatest common factor of 5 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1069277 < -1069277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 636 - -24?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g + b = 7, -7*g = -6*g + 2*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - 10) + 20 + -9 + (0 - -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - (5\/(-5) - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -613, -621, -631, -643, -657?\n\"Answer: -v**2 - 5*v - 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1288 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in fourty-four fifths of a gram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -7.8, 2\/15, -3\/2, 2\/29?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -144 divided by -9\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0 + -6 + (9 - 2) + 1. Solve 5*s + 18 = -y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*b = 4*a - 9*b - 2256, b + 1692 = 3*a. Is a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 2741952282?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**2 + 2*h + 3. Let d be i(2). Suppose -11 - 4 = -3*l + d*g, l - 7 = 2*g. Solve 30 = -5*n - 5*y, 2*y + 10 = -l*n + 7*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.054 - 3.054. What is the fourth smallest value in 22, 1, 0, c?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 23 - 21. Let l be -5 - (4 + (-8)\/u). Let z(r) = r**2 + 5*r + 3. Determine z(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 13679 (base 16) to base 9.\nAnswer: 131022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*q*x**3 + 552*q*x**2 + 9*q*x - 3*q - 1546386*x**3 with respect to q.\nAnswer: -2*x**3 + 552*x**2 + 9*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9 + 13. Suppose 0*x - 3*x + 4*y = -44, 5*y + 22 = x. Calculate the highest common divisor of x and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -6*j**2. Let w = -5 + -1. Let u(h) = -8*h**2 - 7. Let x(t) = -12 + 5*t**2 + 2*t**2 + 32 - 14. Let l(v) = w*u(v) - 7*x(v). Determine l(y(z)).\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iiiiggiiiiiggigiiiii. What is prob of picking 1 i and 1 g?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.51 * -8555.405.\nAnswer: -4363.25655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -354 + -1741?\nAnswer: -2315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:00 AM and 4:02 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = -3*r + 5*h + 60, 64 = 5*r - 4*h. Suppose 3*y = 4*l - 4278 + 5064, 1438 = 5*y + 4*l. What is the least common multiple of y and r?\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by 27.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(931)*3)**2 + -2.\nAnswer: 33514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2634402*k**2 - 2*k - 64210.\nAnswer: 5268804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(119)*-1)\/sqrt(7) - -6*(-1 + sqrt(17))) + 4*2*sqrt(612)*-5)**2.\nAnswer: 2820*sqrt(17) + 938861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k**4\/5 + 826*k**3\/5 + 273398*k**2\/5 + 1082774*k\/5 + 810204\/5 = 0. What is k?\nAnswer: -214, -3, -1, 631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, -164, 0 in decreasing order.\nAnswer: 0.5, 0, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -32 - -22. What is the common denominator of d and 2 + (-145)\/75 - (-9 + (-6349)\/(-840))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tovlovotto. Give prob of picking 1 t and 2 o.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 125152018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1893759 and 5?\nAnswer: 9468795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 12*a**2*f**2 + 7130829*a*f**2 + 218326574*f**2 wrt a.\nAnswer: 24*a*f**2 + 7130829*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 4*x - 5. Let q(s) = 5*s - 6. Let c be 2\/(-4) + 28\/8. Suppose -2*y + 7 = o, 4 + c = 3*y - 2*o. Calculate y*q(p) - 4*j(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 25.171503 months to millennia.\nAnswer: 0.00209762525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-399 - 652 - 63 + 227)*(2*z**3 + z**3 + 3*z**3).\nAnswer: -5322*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14 divided by -5.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a be 12\/(-18)*9\/(-2). Suppose -5*d + j = -0*d - 17, -10 = 5*j. Suppose 13 = 4*u + d*t, t - 5 = 4*u - 6*u. Put a, u, -3 in increasing order.\nAnswer: -3, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + -2*(1 + -1 + -1 + sqrt(175) - 3*(-2*(sqrt(175) + 1) + sqrt(175)))**2*-5.\nAnswer: 2000*sqrt(7) + 28251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 19248655 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(136)\/(sqrt(64)\/(sqrt(64)\/sqrt(8))) + (sqrt(153)\/((sqrt(9)*-2 - sqrt(9))*-6))**2.\nAnswer: 17\/324 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2\/(-10))\/(35\/(-350)). What is f in -f**5 + 2*f**4 - 2*f**g + 22*f - 12*f - 9*f = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 306674*m**3 + 449*m**2 + 4*m + 86 wrt m?\nAnswer: 1840044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Do 19 and 18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1247\/85 + 4081\/255. Suppose 2*p**2 - q + 10\/3*p = 0. Calculate p.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 2*l. Let u(x) = x. Let r be (2\/5)\/((119\/(-35))\/(-17)). Let k(h) = r*a(h) - 5*u(h). Let t(s) = 34*s**2 + 2. Give t(k(y)).\nAnswer: 34*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*p - 24243 = -94*p + 121309. What is the remainder when p is divided by 274?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -18 by 949.\nAnswer: -18\/949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1707243?\nAnswer: 3, 569081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6*130\/30*15\/(-10)*100\/(-30)?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z + 5. Let w = 3 - -3. Suppose -22 = -3*l + 5. Suppose i + 2*u - w = 4*i, l = 5*i + 3*u. Give v(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -740569, -1480069, -2219581, -2959111, -3698665, -4438249, -5177869?\nAnswer: -5917531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 7, d: 7, v: 2}. Give prob of sequence vndv.\nAnswer: 7\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*a - 2744 = 24*a - 28*a - 22*a for a.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -9201 or -9188?\nAnswer: -9201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1602633602?\nAnswer: 2, 61, 13136341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 4 + 39*r + 46*r - 80*r. What is the smallest common multiple of 44 and z(0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 30965048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 34\/7*m - 289\/7 - 1\/7*m**2.\nAnswer: -(m - 17)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2233 + 23032200?\nAnswer: 23101033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1205 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(8)\/sqrt(4)*4 + -5*(4 + sqrt(8)\/sqrt(4)).\nAnswer: -20 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1622368255 to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = 46 - 47. Calculate the least common multiple of 1\/3 - (5\/(-3) + g) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2220612 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of d**4 - d**3 - 58619*d**2 - 9*d - 21389352 wrt d.\nAnswer: 4*d**3 - 3*d**2 - 117238*d - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1670 + 2579. Suppose 0 = 4*s - 4289 + x. List the prime factors of s.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1 - 2)\/(2\/(-58)). Let q = p + -17. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2703 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w + 17. Let b be t(15). Let r(s) = s + 10 - 4*s + 2*s**b + 0*s. Is r(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.2 or -53423237?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 463 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 15031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 50148.3 to the nearest one thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 15164 + 243?\nAnswer: 15427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) be the first derivative of -5*r**4 - r**3 - 18. Find the third derivative of g(f) wrt f.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 85391515.\nAnswer: 5, 11, 29, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from looco.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*r = 2*r + 48. Solve -r = t + 2*w, -w - 3*w = -5*t + 22 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 2*d - 40 = -3*d, 0 = -3*q + 5*d - 35. Let h be (3185\/(-42))\/(-13) + (q - -1). What is the nearest to 0 in -5, -0.4, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 158435517?\nAnswer: 3, 37, 1427347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -28449, -28445, -28431, -28401, -28349?\nAnswer: -28269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -27 + 26.01. Let t = -1.1 - i. Let d = 0.01 + t. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-64)\/(-28) - 4\/14. Suppose -o = -0*k + 2*k. Let a(z) = z**2 + z. Let f be a(k). Solve -c + 5*h + 10 = -4, f = -5*h - 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18960 - 3570 = 15*x. Calculate the highest common divisor of 30 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the first derivative of -2*l + 1 + 7*l**3 - 3*l**3 - 3*l**3 + l**2 - 3. Calculate the remainder when a(-4) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 114, 231, 348, 465?\n\"Answer: 117*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -19 = -5*s - 3*p, 110*s - 2*p + 26 = 116*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1603897 or -1603910?\nAnswer: -1603897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 147*o**2 + 150*o**2 + 151*o**2 + 159*o**2 - 608*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3364)\/(-4263) - 1*4\/6. Which is the biggest value? (a) -0.5 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -85\/88 and -13\/3232?\nAnswer: 35552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 0, 27, 72, 135, 216, 315, 432?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 + -212120?\nAnswer: -212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 271 = 4*x, 28 = 3*x - 5*n - 197. What are the prime factors of x\/(-14)*328\/(-5)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 1 - 2)*(-2*f + f + 2*f)*(4 - 2*f - 6 - f) to the form i + x*f + d*f**2 and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-563215)\/340*26959 + -1. Let c = 89277421\/2 + i. Let o = c + 19271. What is the common denominator of o and -67\/22?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by 61890.\nAnswer: 1\/30945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(847) + (sqrt(847)*-2)**2) + 0.\nAnswer: 44*sqrt(7) + 13552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 3*0.41\nAnswer: 1.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.3, 5, 12, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 9063900 to the nearest 100000.\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g - 15 + 39. Let z(n) = -10*n + 3*n + g*n. Let a(o) = -o**2. Give z(a(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10 - 5. Suppose -4*i + 1298 = 38. Let o = -312 + i. Solve -3*n + 3*p + 14 - d = 0, 0 = -o*n - p + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 459 minutes before 12:23 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -21*7\/3*245\/(-343)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 2*z + 18. Let q be w(0). Suppose 0 = 2*r - 10, 3*r + 20 = 4*f - 1. What is the highest common factor of f and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes after 11:04 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 0.5, -6\/5, -4, 3, -45 in increasing order.\nAnswer: -45, -4, -6\/5, -0.5, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1190 - 388. Suppose y = 2*p - 399 - 409, -4*y = -2*p + v. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(13)*1 + 4 + (sqrt(208) - sqrt(52)).\nAnswer: 4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.13 + -1.2. Let d = -7.43 + w. What is d rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-1 + (3*(sqrt(11) - sqrt(55)\/sqrt(5)))**2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 661296 is divided by 220426.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = -24 - -20. Let m = 322.06 + -322. Put k, 4\/5, m, -5 in descending order.\nAnswer: 4\/5, m, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**3 + 1824*y**2 + 125192*y - 257664.\nAnswer: -2*(y - 976)*(y - 2)*(y + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 79621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 25 - 22 = 3*l - 3*k, -3*l + 31 = 4*k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 5878 times -1226?\nAnswer: -7206428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.01 * 0.03.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 19*c**2*d*u**2 + 6*c**2*u**2 - c*d*u**2 + 4*c*d - 122*c*u**2 wrt c?\nAnswer: 38*d*u**2 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.785355 minutes to seconds.\nAnswer: 227.1213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.21 - -1.79. Let a = -10 + k. Let f = 3 + a. What is the closest to -0.1 in -0.2, -1\/2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4*23\/(-180) + 2\/(-5).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16 + 19*b**2 - 16.\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -269\/6080 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 84*g**3*l**3 - 1405*g**3*l + 3*g**2*l**3 - g**2*l**2 - 4*l**3 wrt l?\nAnswer: 504*g**3 + 18*g**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) be the first derivative of -28*c**6\/15 - 6*c**5\/5 - c**4\/5 - 107. Determine l so that w(l) = 0.\nAnswer: -2\/7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 4 (b) 1.06 (c) -2 (d) 0 (e) 2 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -19 + -1 + (-8 + -20 - -4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6.75 + -12.42. Let r = h - -33.36. Round r to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16\/5 - 4*h**2 + 6\/5*h**5 + 54\/5*h**3 - 32\/5*h**4 - 24\/5*h = 0. What is h?\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 751 + 2925. Suppose -63*s + 68*s = 5*y - 3700, -s + q = 5*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 167 minutes before 6:10 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 25 + -12 + (-9 - -1) + (-15 - 70)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -140832\/5*j**2 - 1990656\/5 + 2\/5*j**5 - 276\/5*j**4 + 12114\/5*j**3 - 1202688\/5*j = 0. Calculate j.\nAnswer: -3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 218962\/9 bigger than 3.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 7 (base 11) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -65, -6, 5, 3.\nAnswer: -65, -6, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 43\/(-774)*(-180)\/8.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 279.374 - 279. What is v rounded to two dps?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = f + 1. Solve 3*z**3 - 3*z - 4 + 4 - f*z**4 + 6*z**2 - 3*z**2 = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -6 + -f8f1?\nAnswer: -f8f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y - 8 = -7*r + 2, 22025*y - 9 = -6*r + 22022*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 171 and 644328?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 289 minutes after 9:32 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 36, 1.2, -1141 in ascending order.\nAnswer: -1141, 1.2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8 - 7.7. Let v = -194.1 - -193.6. Put 0.5, a, v, -1 in ascending order.\nAnswer: -1, v, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = a**2 + 11*a + 13. Determine c(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 3*o + 479 = -l, -235 = -2*l - 3*o. What is the second derivative of 885 - 2*n + 884 - 1765 + l*n**4 wrt n?\nAnswer: 1428*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 95*b**2. Let m(q) = -11403*q**2. Determine y(m(a)).\nAnswer: 12352698855*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 2\/23 (b) -4 (c) 1\/786 (d) 129 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1825?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 11 (base 2) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = c**2 + 2*c. Let l be (-5)\/(5 - (1 + 3)). Let t(x) = -2*x - 6. Let a be t(l). Let h be v(a). What is the greatest common factor of 168 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (1*7\/(-49))\/(-1 - (-2)\/14)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 92.94881 micrometers to meters.\nAnswer: 0.00009294881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 236593220 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 8271703799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -4\/3, 0.5, 4, -35?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -2*((-5 + 2*(sqrt(832) + 0) + sqrt(832) + sqrt(832) + (sqrt(832) + -1)*3)*6)**2.\nAnswer: -2939905 + 64512*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(405) - (2 + sqrt(405) + sqrt(405))**2).\nAnswer: -1627 - 63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 4522675, 9045395, 13568113, 18090829?\n\"Answer: -c**2 + 4522723*c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 89362 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -2*w, 3*y + 1 = 4*w - 3. Let o be w\/(-10) + 4260\/25 + -2. Let x = 220 - 196. What is the highest common divisor of x and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(2\/3))**(-5\/7)\/(u**0\/u)**(8\/9) assuming u is positive.\nAnswer: u**(26\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**2 + 2*s - 2. Suppose -8 = 2*q + 4*a, -4*q + 0*q - 2*a = -2. Let v(p) = -p + 1. Let u(o) = q*r(o) + 4*v(o). Let j(t) = 16*t. What is j(u(w))?\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -195a50 (base 15) to base 5\nAnswer: -303443300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -31 + 35. Let h(y) = y + w*y - 6*y - 1 - y**3 + 0 + y**2. Let r(t) = -3*t**3 + 2*t**2 - 4*t - 4. Let a be 0 - 0\/2 - 4. Give a*h(u) + r(u).\nAnswer: u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -14\/5 (c) -0.1 (d) -2 (e) -1\/9 (f) -259 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -i**3\/4 - 479*i**2\/4 - 58539*i\/4 - 280845\/4 = 0.\nAnswer: -237, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hkhk when four letters picked without replacement from khhhhhhhkhhh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2515, 10076, 22679, 40324, 63011, 90740, 123511?\nAnswer: 161324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 4*z**3 + 28*z**2 - 178*z - 619. Determine k(-10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -14*q - 53 + 20*q - 2*q**3 - 9*q + 49*q with respect to q.\nAnswer: -6*q**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 3 + 12 = 0. Let k = -32\/3 - -11. Is x at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 15) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10 - -9 - 23) + -13?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5 - 2. Find the common denominator of (w\/42)\/(2\/88) and -133\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -118927.9965 - -118983. Let m = f + -55. Round m to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) be the third derivative of -1\/15*f**5 + 0*f + 0 + 6*f**2 - 1\/120*f**6 + 1\/8*f**4 + 0*f**3. Let q be d(-5). Solve 4*i = q + 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 610 less than 510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 33\/148 and -1 + ((-469)\/(-28) - -7).\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the first derivative of -12*l**4 - l**2\/2 + 8. Let a be n(-1). Let z = -27 + a. Calculate the greatest common factor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -235129, -470228, -705327?\n\"Answer: -235099*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + 3 - (102\/765 - (-956)\/30)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 28*z**3 + 185. Is n(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 0*f - 2833 + 2838 + 2*f. Let b = -6 + 2. Determine v(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -9*l - 13. Let c be z(-10). Suppose -131 = -3*m - 4*f, -4*f + 127 = 5*m - 86. Let w = c - m. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ekkk. What is prob of picking 2 k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2637 or -2636?\nAnswer: -2637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 4 plus 199182?\nAnswer: 199186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1779100016 to the nearest integer?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/7)\/((-111)\/(-777)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 8 = 3*y. Let f be (-35)\/(-10) - 1\/y. Suppose 0 = -f*r + r + 10. Let c(s) = s**2 - 5*s + 5. Determine c(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -17 + 0 - 0 - (8339 - 8327)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-1810)\/724)\/(1 + 4). Let n = -1.4 + 1.6. Sort c, n, -1\/5, -2\/7 in descending order.\nAnswer: n, -1\/5, -2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/(-17) - (-5)\/((-595)\/14). Let g = 17630 - 70129\/4. Let q = -5123\/52 + g. Is q smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + -8837272?\nAnswer: -8837268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -1, 9689108.\nAnswer: -1, 5, 9689108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 70 = 2. Let k = 4 + h. Suppose l + 6*l - k = 0. Solve -l*t = -t - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**3*v*v*v)\/v)\/(v**(-1\/2)\/v))\/((v\/v**(-9))\/(v*v**(1\/4))) assuming v is positive.\nAnswer: v**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = -23.0706 + 1.0656. Let t = -25 + 47. Let f = t + d. What is f rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 744 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -331\/5 + 66. Let s = -2.03 - -0.03. Let f = s + 5. Put q, f, 1\/3 in descending order.\nAnswer: f, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 22398 - 12423. Is s a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 127091595*b**4 - 3*b*m - 3*m - 41693098 wrt b.\nAnswer: 508366380*b**3 - 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 2, -11.\nAnswer: -11, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/46 and -6\/11.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 3*l**3 - 3*l**2 + 2*l + 1. Suppose 0*r = 4*r - 8. Is x(r) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 18617910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 22472081 + -22472081.23932054. Let a = -0.2393 - o. What is a rounded to six dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11006111.\nAnswer: 19, 373, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -110*t**5 + 2*t**3 - 1409*t**2 wrt t.\nAnswer: -6600*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 50669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1207388288 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: Subtract 5113930091 from -0.2.\nAnswer: -5113930091.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + k + 38 = -3*p, 19 = -3*k + 2*p. What is the common denominator of (k\/(-42))\/((-4)\/30) and 83\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 2*r**2 + 3*r - 1. Let f(v) = -10*v**2 - 16*v + 4. Let j(k) = 2*f(k) + 11*l(k). Let m be j(5). Calculate the greatest common divisor of m and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (p**3 + 2*p**3 - p**3)*(-p**2 - 3*p**2 + 2*p**2) - 3*p**2 + 3*p**2 - 3*p**5 + 0*p**5 - p**5 + 0*p**5.\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2500011 - -2 - 12\/4. Suppose -2*z = 3*z - 5*i + u, -5*i = 3*z + 1499990. Round z to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 3 j when four letters picked without replacement from jjjjyjyjjjyjyjyj.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 2*a**2 - 23*a + 8. Calculate b(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1456 and 588704.\nAnswer: 53572064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 761 is divided by 194?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3)\/18 + (-522)\/108. Let f = -10 + 50. Let s = f - w. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -61 + 61. Let y(x) be the first derivative of 0*x**2 - 1 + 0*x**4 - 5\/3*x**3 - 4\/5*x**5 + m*x. What is the third derivative of y(z) wrt z?\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -243*g + 4456 + 127*g + 2903 + 123*g.\nAnswer: 7*g + 7359","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 25.697 (b) -6\/7 (c) -16\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, -2, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 114733 is divided by 404.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i*i*i**9\/i*i)\/i)\/(i*i**(-2\/19))*i**(1\/2)*i**0)**(-3\/2) assuming i is positive.\nAnswer: i**(-1095\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 153 - 148. Suppose -b*g + 134 = 29. Calculate the remainder when g is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Round -0.0000009843 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 4*w + 2. Suppose -5*n - 24 = -n. Let u(a) be the third derivative of -5*a**4\/24 - a**3\/3 + 2*a**2. Determine n*g(v) - 5*u(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 127.3 + -127.30096. Round r to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 24.778854s?\nAnswer: 0.4129809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 96*v - 17. Let s be j(3). Let b = 2318 - s. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1327496 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 6852066 < 6852067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 3*i**2 + 24*i - 23. Determine o(-7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 133544?\nAnswer: -1\/33386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 3 - 3)*(-5 + 5 - 2)*(6*t**3 - t**4 - 6*t**3) as u*t + i + q*t**4 + y*t**2 + o*t**3 and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9495, 18983, 28471?\nAnswer: 37959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + v + 3*v = -12, -2*w - 4*v = 10. List the prime factors of w - (4*-1 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 232 - 21. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -8875.\nAnswer: 1\/1775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 2*z - 5. Suppose -14*h + 13*h = 0. Suppose h = -4*v - 7 - 1. Let y(w) = -3 - 3 + 4 + w. Determine v*q(b) + 5*y(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 3371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16*j - 15*j - 419 + 285 + (-3 + 4 + 0)*(2*j + 0*j + 0*j) to p*j + s and give s.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 4 + 4 = 0. Which is smaller: 3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 60 a factor of 1866131400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 78 = -5*c + 3. Let a be 5\/c*2*51\/(-2). Suppose -5*r + a = 2. Solve 2*x - 2*p = 7*x - 2, r*p + 2 = -5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 59 - -0.1096479.\nAnswer: 59.1096479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 671189.8 and 0.89?\nAnswer: 597358.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 64168014 divided by 3.\nAnswer: 21389338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = -144 - -149. Let q = 746 - 750. What is the second smallest value in q, -3, 2\/9, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*a**3 + 7*a**3 - a**3)*((2 + 0 - 3)*(2*a - 1 + 1) - 2*a + 3*a - 3*a - 2 - a + 2 - 2*a + 2*a - a).\nAnswer: -54*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 27725289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + -4 + sqrt(68) - (sqrt(68) - 3*(-1 + sqrt(68)))) + 5)**2.\nAnswer: -12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -17a90b (base 15) to base 4\nAnswer: -10120221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (9 + 4*i + 11 - 10)*(i - 1 + i + 3*i).\nAnswer: 20*i**2 + 46*i - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*i = 5*y - 50, -3918 + 3928 = -2*i - 4*y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 22 = t, 4*b + 10 = -t + 2*t. List the prime factors of (-192)\/(-9) - (-2)\/t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20*(-10)\/(-450) + 2\/(-16)*0.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 658*v - 10 - 11 + 21 - 134*v as b + s*v and give s.\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (0 + -3 - (-11)\/5)*-3060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 w when two letters picked without replacement from {i: 1, k: 2, w: 1, h: 1, y: 2, x: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(136)*-2 - sqrt(136) - sqrt(136)) + sqrt(136) + sqrt(136))\/(sqrt(200)*2).\nAnswer: 9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 40\/7 and 97\/222.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 78 + 20*m**4 - 78 + 4*m - 8*m**4 - 4*m + (m**4 - m**2 + m**2)*(-1 + 4 - 2) + 4 - 2*m**4 - 4 + (5 - 2 - 4)*(3*m**4 - 6*m**4 + m**4).\nAnswer: 13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 298\/475023 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-15)\/(-4)*(-2)\/(-6). Let l = -192 - -966\/5. What is the closest to -1 in -1, v, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-165)\/(-1)*(-6)\/(-15) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5*g**4 + 16*g**3 + 37*g - 11588 with respect to g.\nAnswer: 20*g**3 + 48*g**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 4*s = -36, 0*s - 102 = -4*b + 2*s. Suppose -5*p = -5*x + 10, -b = -7*p + 4*p - 3*x. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/9? (a) -4\/49 (b) -3 (c) 1\/7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 4*k - 359 = 0, -258 = -4*y - 4*k + 258. Calculate the remainder when y is divided by 36.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*j + j + 0*j)*(-133*j + 327*j - 18*j) in the form u + z*j**2 + m*j and give z.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -32\/31339 and -83\/6776.\nAnswer: 250712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 2*z**3 + 15*z**2 + 18*z + 2. What is x(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of k**6 + 160*k**3 - 2460*k**2?\nAnswer: 120*k**3 + 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:04 PM and 5:14 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 10 and 0.204698?\nAnswer: 9.795302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0888651 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t**3 - 11*t**2 + 22. List the prime factors of x(12).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m**5\/11 - 14*m**4\/11 + 16*m**3\/11 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -10025 + 10028 = -m, -5*w - 3*m = -6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -41\/18 and -97\/40258.\nAnswer: 362322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2973 and 31465241?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 33 and 20?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2162839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 l and 1 s when four letters picked without replacement from zlzzcsk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(-11)\/(j**(-13)*j)*(j*j*j\/(j**2*j)*j*j*j)\/(j*j**(-4)) assuming j is positive.\nAnswer: j**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -400*x - 9913 = 556*x - 14489 + 59068 for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-16)\/20)\/(-6 + (-270)\/(-25) + -3).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -5*r + 17. Let d(l) = -641*l - 4481. Let o be d(-7). What is t(o)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -2*z + 83. Give y(4).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*f + 1 - 5 + 5 + (-2*f - 2 + 2)*(-1 + 1 - 2).\nAnswer: 7*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -113\/1296 and -67\/144?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00001172876 rounded to 7 dps?\nAnswer: 0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -3*n**3 + 1. Let p(b) = -25*b**3 + 7. Let a(f) = -6*p(f) + 51*t(f). Differentiate a(i) with respect to i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3 + -1 - 140 - -1. Let g = -99 + 24. Let q = g - a. What is the remainder when q is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -0.2, -0.3, 0.097, 1, -33.82?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 4*a - 473 = 0, 4*c = -a + 846 - 224. Suppose 4*k = z - 149, -2*z + c = -z - k. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the first derivative of 2*h**3\/21 + 6*h**2\/7 + 10*h\/7 + 48. Determine z, given that f(z) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(3\/25)*r)\/r**(3\/17))\/(r**20*r*r\/(((r*r**(-11\/4))\/r)\/r)) assuming r is positive.\nAnswer: r**(-42171\/1700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -3 (b) 144 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 820255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 4*g - 76 = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g*g*g**12\/g*g\/g**43*g*g assuming g is positive.\nAnswer: g**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -626134 + 2646652 = 153*p. What are the prime factors of p?\nAnswer: 2, 3, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -381, -340, -279, -204, -121, -36, 45, 116?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4159 - -4159. Which is smaller: 1\/1857 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 587 is divided by 40.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = -d - 26, t = -5*d + 4*t - 94. Suppose 33*s - 272 = 28*s - 362. Is d smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kgvebsg. Give prob of picking 1 b and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: ((-91364)\/(-1904) + -48)*(-8)\/(-1)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -11 or 2434?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j - 3*x = 27, -j - 5*x - 15068 = -15046 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 39 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/3*-6*5\/90. What is f in 4\/9 - 2\/9*f**2 + 2\/3*f - 2\/3*f**3 - j*f**4 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21\/46 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 2 = -2. Let t be 72\/20 - (32\/(-20))\/4. Let y(w) = -6 + 5 + 0 - t*w**2. What is y(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/8 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (f + 0*f + f)*(0 + 1 - 3)*(1 + 3 - 1)*(19 - 24 + 14).\nAnswer: -108*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -9*n**2. Let w(g) = 1189925 - 1189925 - 56*g. Calculate s(w(x)).\nAnswer: -28224*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 689 minutes before 2:39 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1237 - (-1 - (-8)\/(-28)*7).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7*-207373.\nAnswer: 1451611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -257736*h**4 + 6229*h - 2?\nAnswer: -3092832*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 3658289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, -24, 0, 62 in decreasing order.\nAnswer: 62, 12, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 1543*k + 160 = 1511*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 12 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -n**2 + 589*n + 399 wrt n?\nAnswer: -2*n + 589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the second derivative of 0 - 3*p - 13\/6*p**3 + 0*p**2. Let z(y) = y**2 + y**2 - y**2 + 0*y**2. Determine z(x(r)).\nAnswer: 169*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (13 + 41 + 39)*(-2*n**3 - 60*n**2 + 60*n**2 - 2*n).\nAnswer: -186*n**3 - 186*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 365045 + -3b?\nAnswer: 365009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -43133211 - 203?\nAnswer: -43133414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 170 - 50 + 55 + 130 + 17*f. What is the tens digit of r(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3466 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the first derivative of 0*r + 0*r**4 + 0*r**6 - 20\/3*r**3 + 0*r**5 + 0*r**2 + 5 - 2\/7*r**7. Find the third derivative of p(k) wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 38 divide 755450412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 1048, 2093, 3138, 4183, 5228, 6273?\n\"Answer: 1045*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 120939?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 11966 - -3?\nAnswer: 11969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 12 = 5*a, 0 = -3*w - 2*a - a + 24. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 196135128.\nAnswer: 2, 3, 7, 129719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -117*t - 3. Calculate the remainder when d(-1) is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -24*k**3 + 130*k**2 + 6*k + 3. What is the remainder when x(5) is divided by 93?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*w - 4*w + 5*w)*(1 + 2*w - 1)*((2*w - w + 2*w)*(-2*w**2 + 6*w**2 - 2*w**2) - 1 + 1 - w**3).\nAnswer: -20*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15041146 is divided by 1467.\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z**3 + 639*z**2 + 1060*z + 269316. Give b(-638).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -24 times -10\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000019564 to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:28 AM and 5:23 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 424*l + 4371 = -1779 - 2754 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 153 and 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 14739, 14676, 14613, 14550?\nAnswer: 14487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8 - 2. Suppose -253 = -5*u + 12. Calculate the remainder when u is divided by (b\/4)\/((-3)\/(-36)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -46 + 24 - (7 - 9).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*d**4 + 7405*d**3 - 6*d - 7406*d**3 + 13*d**2 + 4*d**4 to the form g*d + c*d**4 + h*d**3 + l*d**2 + b and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -3*q + 7*q**2 + q**2 - 17*q**2 + 8*q**2 + 12. Calculate the smallest common multiple of 24 and f(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 3, p: 5, m: 6, g: 3}. What is prob of picking 2 g and 1 p?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 7*y = -3220. Suppose 5*x = -5*n + y, 2*n - 3*x = -2*n + 623. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2 - 4. Let y = 745.86 - 756. Let q = -19.14 - y. What is the biggest value in f, q, 4, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 380240881 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 217029 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2764 + -2764.0651. Let u = -153222.7651411 + 153222.7. Let y = u - a. Round y to 6 decimal places.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -27e (base 15) in base 3?\nAnswer: -210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36305673 is divided by 1910824.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = -4*b + 1037, -61 + 569 = 2*b + 2*m. Let j(p) = -36*p - 257 + b. Let l(f) = 5*f. Give l(j(g)).\nAnswer: -180*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 261468 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*m + 20*m = -2120. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000011212119 rounded to 7 dps?\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4318*x*z**3 + 188*x - 7*z**4 - 12*z + 7144 wrt z.\nAnswer: 12954*x*z**2 - 28*z**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 305474380?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (2 + 26 + (53 + -34 - 22)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be 916\/(-14) - -3*(-8)\/(-56). Suppose 1 = a - 2, 0 = -4*d - 2*a - 86. Let z = d - t. Calculate the remainder when z is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50 + (837\/744)\/(12\/(-64))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 57*w - 231. Is t(7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l = -2*x - 18, -879*l + 857*l = 4*x + 132 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 336 - 996 = 0. Suppose 5*n = -6*n + h. What is the least common multiple of n and 33?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1.794105 litres?\nAnswer: 1794.105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - u + 3*z = -172, -z = 3*u - 116. Let j = -13487 - -13492. Solve 0 = -5*s - j*p - u, -9 - 13 = 4*s + 2*p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(252) + 1)*-5 + 4 - 2*1*sqrt(252)*2*-1)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -694 (base 13) in base 15?\nAnswer: -50a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 0, -4, -48 in descending order.\nAnswer: 3, 0, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 28 + 10*m + 64 - 3*m**2 - 44 to a*m**2 + h*m + o and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(((sqrt(343) + sqrt(343) + 3*(sqrt(343)*1 - sqrt(343)) - sqrt(343)) + sqrt(343) + sqrt(343))*5)**2.\nAnswer: 154350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 10669275, 21338582, 32007889, 42677196?\n\"Answer: 10669307*v - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(343)*-6 + sqrt(343) + sqrt(343) + -2 + -1 + sqrt(343) - (1*-3*sqrt(343) + 2 + 4))**2.\nAnswer: 756*sqrt(7) + 12429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -l - 12. Calculate k(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.1, -5, -2, -3.08, -2\/71, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w = -4*s + 2 - 5, 0 = 2*s - w + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 204021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) -2 (b) 0.06 (c) 2 (d) -11 (e) 2950 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*q = -9*q + 48. Suppose -20 = -0*r - r + 5*s, q*r = -4*s + 3. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**(-12)\/l*l**(2\/15)*l**(1\/3)*l\/l**10)**(-5) assuming l is positive.\nAnswer: l**(308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*x + 5*l, 39*x - 41*x + 4*l = 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5)\/15*2848\/149520?\nAnswer: -2\/315","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -1432 divided by -9624\nAnswer: 179\/1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 1267249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*j**2 - 20*j - 152 = 0 for j.\nAnswer: -2, 19\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -68 = -5*v - 2*l, 0 = -2*v + 6*v - l - 44. Let k(p) = -2*p**2 - 17*p + 3. Let a be k(-7). What is the greatest common factor of v and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i\/(i*i**(-6)))\/i**(1\/24))\/(i**19*i**(4\/7)) assuming i is positive.\nAnswer: i**(-2119\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -130e3 (base 16) to base 15\nAnswer: -181d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put together -70.02 and -1039.\nAnswer: -1109.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -698*x**2 + 416*x**2 - 112*x**2. Let q(z) = -z. Give q(r(j)).\nAnswer: 394*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 + 4)*(8 - 7 - 24)*(-4*z - 18 + 6*z - 5*z).\nAnswer: 138*z + 828","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6 + -19\/3. Let w = 293787 - 141311465\/481. Let i = -12\/37 + w. Sort 4, i, b in descending order.\nAnswer: 4, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 57293 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2486071 + 5?\nAnswer: -2486065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 4*a**3 - 4*a**2 - 15*a + 9. Let c(s) = -5*s**3 + 16*s + 4 + 0*s**2 + 3*s**2 - 13. Let x(i) = 5*c(i) + 6*y(i). Is x(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(192)*-2*-3)\/sqrt(12))\/(-1*sqrt(968) - -2*sqrt(512)))**2.\nAnswer: 72\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -c3ce - -61?\nAnswer: -c36d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 6, -2\/13, 1.7, -2\/9, -5.\nAnswer: -5, -4, -2\/9, -2\/13, 1.7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 2548*p - 48 = 2542*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 115 divided by -5\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {q: 6, x: 6, z: 4, p: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 + 6. Let w be 54\/q - (-51)\/85. What is the second derivative of 3*z**3 + w*z**3 + 113*z - 111*z wrt z?\nAnswer: 54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 + -172?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + 5 + (10 + -25 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 4 + (-8 - 5 - -8) + -9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be (9 + 324)*(4\/6)\/2. Which is bigger: 110 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 149036, 149038, 149040, 149042, 149044?\nAnswer: 149046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 11*f**2 - 17*f + 6. Suppose -3*p = -4*p - 6. Let r(y) = 11*y**2 - 17*y + 7. Let a(n) = p*r(n) + 7*b(n). Find the second derivative of a(d) wrt d.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(363) + sqrt(363) + 1)*6 + sqrt(363) + -2 + -3 + 4*(sqrt(363) - (sqrt(363)*1 + sqrt(363))))*-5)**2.\nAnswer: 4950*sqrt(3) + 735100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Total of -1169 and 2.\nAnswer: -1167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 5 = -7. Suppose -6 - 23 = x*w - p, 2*p - 10 = 0. Is 33 + -3*(-4)\/w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -13 by -3054.\nAnswer: 13\/3054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 133634325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (p - 5*p + 3*p - 3)*(-57 - 153 - 94) in the form s*p + c and give c.\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -125 - -123. Let h(i) = -i - 1. Let p(q) = q**2 + 5*q + 5. Let s = -105 + 95. Calculate l*p(d) + s*h(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 1540*y + 12. Let a be g(12). Suppose -a = -4*h + 4*t, 3*t = 5*h - 8951 - 14160. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjhpljhwjhwhpwlwwjp. Give prob of picking 1 h and 1 p.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*f - 47 - 34 + 81 + f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 395*z + 154462. Determine w(-391).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*x + 0*x + 4*x + (0 - 5 + 3)*(-2*x + 4*x - x) + 2*x - 4*x + 0*x + x + 3*x + 4*x - 3*x + 7*x - 5*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -7260 = 232*r + 269*r + 104*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 29*h**2 - 111*h. Let a(z) = 25*z**2 - 111*z. What is -7*a(q) + 6*w(q)?\nAnswer: -q**2 + 111*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 8478327 a multiple of 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:02 PM and 1:21 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1010 - -36266?\nAnswer: 35256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -4*d**3 + 8*d**2 - 12*d - 14. Let k(j) = j**3 + j. Let o(v) = -c(v) - 3*k(v). Let n be o(6). What is the third smallest value in 1, -0.3, n, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8398804?\nAnswer: 2, 53, 173, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 0*h + 28 - 4*h + 36 - 35. List the prime factors of d(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = -9 + 6. Let u be 6\/(i\/4*-6). Let g = 4 + u. Solve g = 4*t - 3*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1b6 (base 15) to base 3.\nAnswer: -112200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -86989*z - 383486?\nAnswer: -86989","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is i in 56*i**3\/11 + 10046*i**2\/11 - 36820*i\/11 + 26718\/11 = 0?\nAnswer: -183, 1, 73\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -8329, -8328, -8349, -8404, -8505, -8664, -8893?\n\"Answer: -2*i**3 + i**2 + 12*i - 8340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 739 - 445. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, 5, 168002948?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-13)\/(3146\/(-22))*11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 283 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) be the third derivative of -13*i**4\/24 + 5*i**3\/6 - 630*i**2. Let u(y) = -144*y + 54. Calculate -54*o(r) + 5*u(r).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -1\/6, -0.2, 10 in decreasing order.\nAnswer: 10, -1\/6, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -42580*z + 27 = -42571*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 174, 183, 196, 213, 234, 259?\n\"Answer: 2*y**2 + 3*y + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 47843080 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -1\/23 (c) -4 (d) 38.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2956, 11656, 26104, 46300, 72244, 103936, 141376?\nAnswer: 184564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**2 - 3*g - 4. Let m(x) = -x - 1. Let j(a) = -f(a) + 2*m(a). Let b be j(-1). Suppose b = -5*p + 115 + 40. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -b - 8. Let s be ((-3)\/(-2))\/(b\/((-16)\/6)). Factor -2*c**3 + 4*c**3 + c**2 + c**2 - c**s + c**4.\nAnswer: c**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -120722.2153 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5\/6? (a) 0.85 (b) -1 (c) 3\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5\/3 in -0.1, 162, -24, 3\/8, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide (-7)\/(-5 - 4*3\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4 + 342*8\/(-4)*-1. Suppose -6*b + 2684 + f = 0. List the prime factors of b.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (3 - 9\/2)*-22. Let f = -23 + n. Suppose s - f = -s. Solve -t + 12 = -s*t, 2*t + 6 = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + -2*sqrt(1216) + sqrt(1216))**2 + 5 + (sqrt(475) - ((sqrt(475)*2 + sqrt(475))**2 - sqrt(475))).\nAnswer: -3045 + 58*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -416311711, -832623423, -1248935135, -1665246847?\n\"Answer: -416311712*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (54\/10)\/(11\/55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*x - 8*x + 16 = 0. Which is smaller: x or -2\/99?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-16)\/(-64)*3*(-192)\/10512?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the second derivative of w**5\/20 - w**4\/2 + 4*w**3\/3 - 3*w**2 + 2*w. Suppose -5*k = -2*k - 9. Suppose -7 = -k*j + 8. Give i(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 3612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -5*o**3 + 16*o**2 + 15*o + 4. Determine w(-3).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2 - (-3 + 0 + -3). Let q = g - -3. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**3 + 11*q**2 + 2*q - 10. Give k(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 196, 192, 186, 178, 168, 156, 142?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2045 (base 11) in base 6?\nAnswer: 20315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 37080, 74159, 111238, 148317, 185396?\n\"Answer: 37079*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100100 + 11?\nAnswer: -100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z - 16. Let m be i(20). Solve 4*g - 2*o = -14, -6*o = -m*g - 2*o - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 276, 614, 1154, 1902, 2864, 4046?\n\"Answer: x**3 + 95*x**2 + 46*x + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 3, y: 1, x: 3, e: 1, s: 1, k: 2}. What is prob of sequence eks?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5774*x**5 + 69*x**3 - 4*x**2 - 94384992*x wrt x?\nAnswer: -115480*x**3 + 414*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/96166 and -67\/54952?\nAnswer: 384664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 1011 (base 5) to base 11.\nAnswer: 10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*y - 126 = 0, -2*o - 26 = 2*o - 5*y. Put -30, 0, -7, o in descending order.\nAnswer: o, 0, -7, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (sqrt(275) - (4 + sqrt(275) + 4*sqrt(275))) + (sqrt(539)*-5 - sqrt(2816))**2)*-4.\nAnswer: -114420 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 412 - 2*i**4 + 245*i**3 - 412 - 15*i**2 - 215*i**3 - 73*i**2.\nAnswer: -2*i**2*(i - 11)*(i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -44600036 by 11150009.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-26 + 1492*m**2 + 137*m**2 + 26 + 2198*m**2)*(-3*m**2 + 4*m**2 + m**2).\nAnswer: 7654*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -128*r**5\/9 + 32*r**4 - 38*r**3\/3 - 106*r**2\/9 + 14*r\/3 + 2 = 0 for r.\nAnswer: -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-10)*(-395)\/2054.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*f**2\/4 - 8733*f\/4 + 8739\/2.\nAnswer: -3*(f - 2)*(f + 2913)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is (-6 - -5) + -2 - (1 - 264) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve a = -21 + 23 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -1346*z + 3*g = -1343*z + 15, 3*z - 4*g = -18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 109 divided by -128.\nAnswer: -109\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (25 - 13) + -2 - 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4857 + -4856. What is the third smallest value in 0.27, -23, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 23 (b) -11.8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -135551776*h**2*z**4 + 4242562*h**2*z - 15*z**2 wrt z.\nAnswer: -3253242624*h**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 130 + -47. Let q = s - 82.8. Put 0, 5, q, 4 in decreasing order.\nAnswer: 5, 4, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 - (10 + (0 - 14) + 3 + -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -2*i**3 - 2*i**2 + i - 1. Let c be z(3). Let j = 77 + c. Solve -g - 2*v - 5 = 0, j = 6*g - 5*g - 2*v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 120 (base 4) in base 3?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -1315 (base 12) to base 6\nAnswer: -14025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/10 + (-84)\/(-20). Suppose s*z = 20, 5*c + 2*z - 30 = -z. Solve 2*q - 4 = c*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -2*q + 21. Suppose -3*s = -21 - q. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes after 1:56 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33 + 13 = -5*z. Suppose -3*s - 2*l = -126 - 95, z*s - 303 = -l. Suppose 5*f = s + 43. Solve g - 7*n + 2*n - f = 0, 3*n + 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -19*q**2 - 6603*q + 6604*q - 34*q**2 to the form x*q + p + m*q**2 and give m.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is b170a252 + 3?\nAnswer: b170a255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -5\/6, -2\/17, -4\/23 in descending order.\nAnswer: -2\/17, -4\/23, -5\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 2*l. Let j(m) = -m**2 + 1. Let q(b) = b**2 - 6*b + 4. Let y be q(5). Let i(r) = -6*r**2 + 4. Let n(d) = y*i(d) + 4*j(d). What is n(f(z))?\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 81156 + -2873?\nAnswer: 77173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 20 = -3*l, -2*u - 49*l = -48*l - 9. Let h be (1\/(-2))\/(11\/4). Which is the closest to -1\/5? (a) 5 (b) h (c) -0.3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 9 in -14660, 20, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of g**4*u + 1028297*g**4 - 5*g**2 + 19*g*u - 7*g - 11566 wrt g.\nAnswer: 12*g**2*u + 12339564*g**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -21904 - -37120. What is the highest common factor of 32 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 2 k when three letters picked without replacement from kykkkkaaa.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -7\/10 (c) 2\/9 (d) 1\/689\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 2, n: 3, y: 1, b: 2, l: 1, o: 6}. What is prob of sequence ooon?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 162178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 2*b**2 - 8*b - 8. Calculate the remainder when f(7) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -23 + 26. What is the units digit of (-4 + t)*335\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12 and 1056?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -302942, -1211750, -2726430, -4846982, -7573406, -10905702?\n\"Answer: -302936*b**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10 - -11. Differentiate -q + 16 + 24*z - 26*z - 5 with respect to z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 319 + -225. Suppose 5*g - x = 2*c, 4*c = -c + 15. Suppose -119 = -3*o - g. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c**3 + 64*c**2 + 297*c + 133. Let p be k(-59). Solve 5*t = 5*z - p, 4*z = -5*t + 44 - 32 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7856011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) 3\/5 (c) 0 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 22 and 7667.\nAnswer: 15334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-320)\/16*2\/3*9\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 714744186?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -14292400 to the nearest one hundred thousand.\nAnswer: -14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*a - 35 = a. Suppose a*m = 3*m + 132. Let b(c) = c**3 - 10*c**2 + 11*c - 1. Calculate the remainder when m is divided by b(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6567116?\nAnswer: 2, 277, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -10*k + 84. Determine z(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 33425\/9 smaller than 3715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 4*z + 8 = c, 2*c = -4*z - 52. Let i = 51 + c. Let m = 35 - i. Sort -62, 1, m.\nAnswer: -62, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1.4976 to 2 dps.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**3 - i**2 + 5*i - 4. Let k = -20 - -24. Let g be v(k). Let h = 143 + g. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:55 PM and 1:03 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 204\/30*(-6300)\/(-2520).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2604023 to the power of 1\/2, to the nearest integer?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 109254584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -5\/32, -0.5 in descending order.\nAnswer: 2, -5\/32, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -8*i + 3. Let r(z) = 17*z - 7. Let n(q) = -q**2 + 4*q - 6. Let x be n(4). Give x*r(j) - 13*h(j).\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = -12 - -11. Is 4 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 2*u - 6 = 0, 20 + 0 = -4*f + 3*u. What is the tens digit of ((-84)\/35)\/(f\/685)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.1 - 4.9. Let x = -5.99 - h. Let d = -0.009958 + x. What is d rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/7, 93, 2\/3, 56, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -4 - (8 + (-18 - 5))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -25 (base 8) to base 13\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 4*d - 150 = -2*m, 4*m - 654 = -2*d. Suppose -3*n = 6, 2*i + 0*i - m = -2*n. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 35*d**2 - 17*d**2 + 38*d**2 - 3*d**2 + 3*d**2 - 3*d**2 - 2*d**2 - d + d + (2*d**2 + 3 - 3)*(3 - 1 - 3).\nAnswer: 49*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the second derivative of -g**7\/1260 + g**6\/20 + g**4\/4 - 17*g**3\/2 - 22*g - 2. Let r(u) be the third derivative of i(u). Factor r(f).\nAnswer: -2*f*(f - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -o**3 + 13*o**2 - 15*o + 28. Let n be i(12). Sort -1, n, 8 in increasing order.\nAnswer: n, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence coy when three letters picked without replacement from {y: 5, c: 2, o: 4}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.3 (b) 1.22 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 18, -1, -1\/5, -5, 5, -3\/44?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -167350*t - 43952 = -168006*t for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify n\/((n\/(((n**(-2\/5)*n)\/n*n)\/n*n))\/n)*n**8*((n\/(n**(2\/15)*n))\/n*n*n)**5 assuming n is positive.\nAnswer: n**(209\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**3 + 9*u**2 + 19*u - 1. Let y(q) = 2*q**3 + 18*q**2 + 37*q - 1. Let i(v) = 5*c(v) - 3*y(v). Let k be i(-7). Solve k + 0 = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -996997 divided by -996997?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 28396 and 2748.\nAnswer: 85188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 5*z + 59. Let l be g(-11). Suppose 7*n = l*n + 891. What is the greatest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 12*f**2 - 3*f - 9. Let g = -8 + 8. Suppose g = r + a + 3, -r + 2*a + 3*a - 3 = 0. What is the tens digit of u(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, y: 2, a: 1, m: 1, u: 1, i: 1}. Give prob of sequence nm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 210803635.\nAnswer: 5, 7, 860423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 69448426 and 14?\nAnswer: 486138982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-6)\/(-39) - 12\/78. Let v(s) = -s**3 + s**2 - s. Determine v(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -107, 1, 3 in increasing order.\nAnswer: -107, -0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0087116857 rounded to 5 decimal places?\nAnswer: -0.00871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/4, 11\/3, 0.5, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 172721471 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-7 + 1)*3\/(-2). Let j = 34 - 55. Let f be ((-6)\/8)\/(j\/112). Sort -5, a, f in increasing order.\nAnswer: -5, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6 - 3)\/((-3)\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/3, 3\/19, -11982, 2 in increasing order.\nAnswer: -11982, 3\/19, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.27152 + 0.27152. Which is the nearest to z? (a) -3 (b) -175 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that -5*m**4 - 925*m**3 + 10800*m**2 + 3700*m - 43120 = 0.\nAnswer: -196, -2, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the third derivative of t**6\/150 + 16*t**5\/75 - 101*t**4\/30 + 56*t**3\/5 + 83*t**2. Factor x(h).\nAnswer: 4*(h - 4)*(h - 1)*(h + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7511 + 7507. Let c(x) = -15*x - 60. What is c(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 5 = -1. Let g be ((-1)\/(-1))\/((-2)\/(-12)). Suppose 4*o - 10 = g. Calculate the remainder when o is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -385*j**2 + 0 + 2 - 11*j**3 + 18*j**3 - 3*j**3 - 6*j**3 as i*j**2 + f + m*j**3 + z*j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by -12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*u + 22*u + 2*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 6*x**2 + 2*x - 28. Let o(c) = 2*c**2 + c - 9. Let l(t) = 3*d(t) - 10*o(t). Factor l(j).\nAnswer: -2*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, s: 3, z: 5, l: 5}. What is prob of picking 1 l and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 106*o - 111*o = 0. Solve o = 5*h - 32 + 47 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 2*n**3 + 9*n**2 - 4*n + 13. Suppose -d - 20 = -6*d. Let j(x) = -x**3 - 4*x**2 + 2*x - 6. Give d*s(t) + 9*j(t).\nAnswer: -t**3 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-21)\/9)\/((-252)\/648)*3\/(-99).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.13*-0.0047.\nAnswer: 0.000611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.5 (b) 0.7 (c) -9\/5 (d) 0.3 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) -20 (b) -7.9 (c) -3 (d) -2 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from edtetbtheebtdt.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1.155 and 53.36248001?\nAnswer: 52.20748001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes before 1:14 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3641382 divided by -6?\nAnswer: -606897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -26244*o + 26244*o - 112 - o**2. Let f(w) = w**2. Calculate f(u(v)).\nAnswer: v**4 + 224*v**2 + 12544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-7)\/((-175)\/30))\/((-26)\/(-65))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -5, -6.82 in increasing order.\nAnswer: -6.82, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 252346, 507466, 762586, 1017706, 1272826?\nAnswer: 1527946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u - a - 37, -4*u + 16 + 16 = -2*a. Suppose -u*g = -2*g - 445. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) be the third derivative of o**6\/840 - o**4\/56 + o**3\/21 - 9*o**2. Factor s(x).\nAnswer: (x - 1)**2*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(36)\/sqrt(147) - sqrt(432)*3)\/((sqrt(64)\/(sqrt(6)\/sqrt(3)))\/(sqrt(8) + sqrt(32)\/(sqrt(12)\/sqrt(3)))).\nAnswer: -250*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - m + 17 = 5*d, 5*m - 17 = -4*d. What is the third derivative of -65*l**3 - 55*l**3 - 22*l**2 + 82*l**d wrt l?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5044051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 3*f**2 + 36*f - 1222. Calculate k(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x be -4 + 8 + -8 + 4. Solve -3*c - 2*c - 25 = x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 167602*d*q**2 - 4823*d*q + 3*q**2 + 18*q + 2 wrt q?\nAnswer: 335204*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -10*o**3*q**4 - 25*o**3*q**2 - 5*o**2*q + 7*o*q**4 + q**2 wrt q?\nAnswer: -240*o**3*q + 168*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -14*m**3 + 2*m**2 + 4*m + 2. Let g be f(-1). What is the derivative of -g*a**2 - 33*a**2 - 21 - 22*a**2 wrt a?\nAnswer: -138*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*p - 4*p + 5*p + p + 3*p - 3*p + 0*p - p + 0*p + (2 + 2 - 5)*(0 + 0 - 2*p) + 4*p - 3*p - 2*p + 4*p - p - 2*p - 304*p + 1762 - 246*p + 554*p.\nAnswer: 5*p + 1762","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*q + 6 = 44 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/14 + (-1 - 0) + 0.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the second derivative of i**5\/20 - i**4\/4 - 5*i**3\/6 + 5*i**2\/2 - 21*i. Give b(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-191*k + 130*k - 403*k)*(-5*k**4 + 3*k**4 + 11*k**4).\nAnswer: -4176*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*o = 16*o + 4. Find p such that -6\/5*p + 4\/5 - 14\/5*p**3 - 24\/5*p**o = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 828198 - 2743372\nAnswer: -1915174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 66111897 * -2.\nAnswer: -132223794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-70)\/8820*-1044)\/((-1)\/7).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 7*k - 10 = 2*k, 4*r - 44 = 2*k. Suppose -22 - 36*w + 5*w**2 - r - 2*w**2 + 140 = 0. Calculate w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1075 - -1088. Solve 2 = 11*m + z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -27 times 85?\nAnswer: -2295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -616 = -11*a + 3*a. Let j = a - 132. Let o = j - -104. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*a - 2*a - 5*a)*((2*a - 3 + 3)*(9*a + 3*a - 3*a) + (4*a + 0*a - 6*a)*(0*a - 7*a - 5*a)) to i*a**3 + u*a**2 + s + t*a and give i.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1300, -1095, -852, -553, -180, 285, 860?\nAnswer: 1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 11*n = -7*n + 178, 77 = y + n. Let h be ((-54)\/(-8))\/((-2)\/(-16)). What is the highest common factor of h and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -286 - -292. Let q(n) be the second derivative of 1\/45*n**o + 0*n**3 + 1\/18*n**4 + 0 - 1\/15*n**5 - n + 0*n**2. Factor q(v).\nAnswer: 2*v**2*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 9*b**2 + 318*b + 97. Let h be c(-35). Let i(t) = t**2 + 5*t + 9. Determine i(h).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -4737, -18938, -42607, -75744, -118349, -170422, -231963?\n\"Answer: -4734*s**2 + s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -1 bigger than 3\/556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2 - -1) + (-3 - -2). Sort z, -4, -3.\nAnswer: -4, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 221 and 1156?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 1442*y**2 + 18*y - 20. Let v be s(6). Round v to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w**3 + w**2 + w + 850. Let f be i(0). Suppose q = 6*q - f. Suppose 2*a = -2*d + q, 5*d = -4*a + 5*a - 103. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-1)\/(-5))\/(64\/9280). Solve 0 = -r*a + 48*a - 26*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1.278 at least as big as -0.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = 82 + 2. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5511333 a multiple of 603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 11*h**3 + 5*h - 4. Let q = 146 - 91. Calculate the remainder when q is divided by v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 760284 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 404 a factor of 3618925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 90464.\nAnswer: 2, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = j + 195. What is w(3)?\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -90*y**2 - 27*y. Let u(r) = 13*r**2 + 4*r. Calculate -4*f(z) - 27*u(z).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 253, 237, 199, 127, 9, -167, -413?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1212\/175 + -116\/25. Determine h, given that -4*h - p + 4\/7*h**3 - 8\/7*h**2 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.26 plus 204883040.5?\nAnswer: 204883040.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -u**2. Let s(o) = -o**3 - 17*o**2 - 17*o - 15. Let t be s(-16). Let k(v) = 154*v + 4. Let c(g) = -g - 2. Let f(d) = t*k(d) + 3*c(d). What is y(f(n))?\nAnswer: -22801*n**2 + 604*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.544, -0.032, 0, -0.4, 2 in descending order.\nAnswer: 2, 0.544, 0, -0.032, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 20 and 167222.\nAnswer: 1672220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3.9 in 416, 3\/2, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -17 + 27. Let f be 10*((-10)\/4)\/(-5). What is the greatest common divisor of o and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1050600 + -8?\nAnswer: 10505a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2526 - -2525. Let m(x) = x**2 - x - 9. Let l be m(4). Which is the nearest to u? (a) -2\/21 (b) 0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3 - 332312414?\nAnswer: -332312422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out -1011 * -0.3.\nAnswer: 303.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11829, 23661, 35497, 47337, 59181?\nAnswer: 71029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -817902 divided by 6.\nAnswer: -136317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 12782 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 95 - 335025\/3525 - 1790\/(-94).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 128 and 11552?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add -4 and 1189699.\nAnswer: 1189695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -333031012 (base 4) in base 15?\nAnswer: -51a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = -2*l - 158 + 5, 0 = 4*y - l - 199. Calculate the remainder when 141 is divided by y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*l**3 - 3*l**3 + 4 + 2*l**3 - 2*l**2 to the form a*l**3 + n*l**2 + b + f*l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(-26))\/((-28)\/(-168)*15\/10)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1527980 or -1527982?\nAnswer: -1527980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*v**5 + 18*v**5 + 19*v**5 + 10 + (4*v**2 + 0*v**2 - 3*v**2)*(v**3 + 0*v**3 - 2*v**3).\nAnswer: 32*v**5 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 6 = -4. Let u(l) = -2*l**2 + 0*l**q + 0*l**2. Let g(w) = -w**2. Calculate u(g(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-1)\/(-3))\/(3\/252). Calculate the highest common divisor of 252 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -2*q**2 - 33*q + 127. What is w(-19)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 5*m**2 - 152*m + 939. Let h(c) = 85*c**2 - 2585*c + 15960. Let i(x) = 35*f(x) - 2*h(x). Factor i(w).\nAnswer: 5*(w - 21)*(w - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24395407 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:02 PM and 6:46 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y + 17 = -3*t, 16*t - 20*t - 20 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6 + (-7)\/(7\/4). Suppose 0*r + 180 = v*r. What is the remainder when r is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5970 = 6*l - 0*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62\/3*s**4 - 10*s**5 - 8\/3*s**2 + 0*s - 40\/3*s**3 + 0 = 0. What is s?\nAnswer: -1, -2\/3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -6690362.86 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.11 + 0.01. Put w, -3, 1\/4 in descending order.\nAnswer: 1\/4, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4211 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 22968 times -1.6\nAnswer: -36748.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -16185\nAnswer: 1\/16185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 13*a + 17. Let r(t) = 51*t + 63. Let g(z) = 4*r(z) - 15*v(z). Let o(m) = -1 - 8*m - 4 + 7. Calculate -2*g(y) - 3*o(y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3246336 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 11314, 11114, 10914, 10714, 10514, 10314?\n\"Answer: -200*u + 11514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 2 = 3*u, -2*h + 5*h = -4*u + 6. Suppose h*y = -5*w + w - 24, 2*w = -4. Let c(d) = d**2 + 5*d + 6. What are the prime factors of c(y)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the first derivative of -4*r**3\/3 - 2*r - 11211. Let o(h) be the first derivative of h**3 + h + 4. What is -2*j(u) - 3*o(u)?\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes before 10:14 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -5*p**3 - 11*p**2 - 7. Let g(z) = -z**3 - z**2 - z - 1. Let c(u) = 6*g(u) - y(u). Let k(l) = 2 - 5*l + 1 - 4. Let b be k(-1). Determine c(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*z + 2247880*z**3 + 2247763*z**3 - 4495637*z**3 + 3*z.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 27 (base 8) to base 12\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 35 minutes after 9:25 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -11*b**3 - 14*b**2 + 2*b. Let a(k) = 7*k**3 + 9*k**2 - k. Give 8*a(r) + 5*w(r).\nAnswer: r**3 + 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = -0*m - s, 2*m = -5*s - 18. Let y be (6\/10)\/((-2)\/10). Let t = y - m. Put -1, 0, 1, t in ascending order.\nAnswer: t, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*l - 5*l - 8*l + 22*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -18768*f**2*w - 2*f*w - 11*w + 482 wrt f.\nAnswer: -37536*f*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 1139 = 2659*t - 2592*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 151 - -64. What are the prime factors of u?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 50408.1l?\nAnswer: 50408100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 4*t - 8 = 0, -2*m - 6 = 2*t - 0. What is the nearest to 0.1 in -7, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*-1*sqrt(156))\/(sqrt(768)*-2).\nAnswer: 3*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -87*k + 85*k = 4*i - 7824, -2*k - 2*i = -7836. What are the prime factors of k?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that 45*s**4\/2 - 14138499*s**3 + 4442155206897*s**2\/2 + 592292136594*s - 592288366326 = 0.\nAnswer: -2\/3, 2\/5, 314189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that y**3\/2 + 191999*y**2\/2 - y\/2 - 191999\/2 = 0.\nAnswer: -191999, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d*d**(1\/4)*d)\/d)\/d*d**(-2\/5)*(d\/(d*d**(-1\/7))*d)\/((d\/(d*(d\/(d*d**(2\/11)\/d))\/d*d))\/d))**3 assuming d is positive.\nAnswer: d**(12987\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n*n**(-1\/4)*n))**17\/(((n**2*n)\/n)\/n)**(-17\/4) assuming n is positive.\nAnswer: n**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3 + 4c875?\nAnswer: 4c872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s be 15\/10*(-16)\/(-3). Suppose -15 = -s*l + 5*l. Suppose -l*r + 5*f + 1270 = 0, 2*r = 3*r + 5*f - 272. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, b: 2, c: 3}. What is prob of sequence ggg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iuugizuubbbbbgbbug. Give prob of sequence zii.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -9887, -19772, -29653, -39530, -49403?\n\"Answer: 2*f**2 - 9891*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 7517+7\nAnswer: 7524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -f**2 + 1488 + 3*f - 4*f - 1502 to i*f**2 + k*f + b and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 7*f - 2. Let j be y(-2). Is (-2)\/(j\/(-72) + (-1464)\/6345) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -413 + -354?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 272 is divided by 166?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r + 2*y + 4 = 0, 0 = -r - 4*r - 5*y + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 774 - 82 = 4*h. Suppose -c - h = -485. Factor -c + 56 - 192*z - 73*z**2 + 25*z**2 - 4*z**3.\nAnswer: -4*(z + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = -y + 2*p + 83, 0 = -5*y - 5*p + 445. What are the prime factors of y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 2*j + 2. Let k be (0 - -1)\/((-2)\/(-6)). Let h(t) = 2*t + 2. Give k*x(u) - 2*h(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p**4 + 1650*p**3 + 636050*p**2 + 5602830*p + 4968432 = 0. What is p?\nAnswer: -279, -8, -1, 1113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -7*m**2. Let p(o) = 5*o**2 - 3. What is p(x(z))?\nAnswer: 245*z**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.1 + 2.9. Which is the third smallest value? (a) -5 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -65 + 89. Suppose -4*k = -10*k + l. Solve -y + 24 = -5*a, 0 = -k*y + a + 3*a + 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 164735.\nAnswer: 5, 47, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u + 2*n + 16, 5*u + 3*n = -0*u + 14. Let s be 5\/4 - 1\/u - -1. Calculate the greatest common factor of 28 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -183*n + 14. Let m(t) = -183*t + 13. What is 6*j(b) - 7*m(b)?\nAnswer: 183*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 516 = -367*z + 1942 + 776 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 476 a factor of 4790831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0 - 0. Suppose 0 = 19*a - 23*a. Suppose -10*y + 7*y = 4*k - 11, -5*y + 5*k - 5 = a. What is the nearest to b in -2, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11196*r**4 - 277077*r**3 + 675153*r**2 - 152592*r + 324 = 0. What is r?\nAnswer: -27, 2\/933, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put together -1.37218 and 3.\nAnswer: 1.62782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -128872 at least as big as -128973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:56 AM and 12:22 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 57*z**2 + 399*z + 145. Determine l(-6).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 2527496177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - 92 = -7*r. Suppose -32 = -2*c + r. What is the remainder when c is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 5*b + 90 = 0, 4*b - 13 = 2*h - 101. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11 (base 15) in base 2?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.02015 * -8.55\nAnswer: 0.1722825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = z**2 + 8*z - 2. Let j be p(-9). Suppose 2*o - j = 353. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -425 = 8*r - 129. Let w = 47 + r. Calculate the least common multiple of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(400)\/(-5*sqrt(490)))\/(-1*sqrt(1152)*-6 - 6*2*sqrt(1152)))**2.\nAnswer: 1\/1270080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*p = 10*p - 54. Let x(a) = -2*a**2 - 14*a - 14. Give x(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 116\/(-3)*(-6)\/4. Let f = d + -1100\/19. Let n = 16 + -109\/7. Which is the second smallest value? (a) n (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:45 PM and 10:45 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tit when three letters picked without replacement from rtittittiiiiitiitiri?\nAnswer: 77\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be 30\/4*(-652)\/(-2445). Let n(r) be the third derivative of 0*r + 4\/3*r**3 + 0 + 10*r**s - 13\/12*r**4. What is the derivative of n(v) wrt v?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -864*u - 991*u = 511*u - 639*u + 12089 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the second derivative of z**5\/40 - z**4\/24 + 4*z**3\/3 + 6*z. Let w(g) be the second derivative of n(g). Suppose -2*h + 5 - 1 = 0. Determine w(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -72*o + 66. Let s(k) = -73*k + 88. Determine 3*s(b) - 4*w(b).\nAnswer: 69*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**3 + 7*h**2 - 2*h - 6. Let x be o(6). Let s be (-150)\/(-10)*4\/10. What is the highest common divisor of x and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/340 and -199\/390.\nAnswer: 13260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 1 y, 1 n, and 1 h when four letters picked without replacement from hhokhyrrnhro.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 2 + sqrt(19) + -3)**2.\nAnswer: 6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 9308.479 millennia?\nAnswer: 111701748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10287, 10286, 10285, 10284, 10283, 10282?\nAnswer: 10281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*(sqrt(125)*4 + sqrt(125)) - (-2 + (sqrt(125) + (sqrt(125) - (sqrt(125) - (sqrt(125) + 3))) - sqrt(125)) + sqrt(125)))*-6)**2.\nAnswer: 2520*sqrt(5) + 220536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 421224912 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 150 = 6*m - m. Calculate the highest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 1 = -3. Let m be v + (-9 - (-2 + 1)). Is (14\/m)\/((-2)\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 2*c + 42. What is the tens digit of i(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -2*f + 24. Let u be i(10). Solve -u + 1 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 170 - 94. Put x, 2, 3, 0.2 in descending order.\nAnswer: x, 3, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 515991 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6520 - 3271 - 3269 - 19*j to v*j + s and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be 23\/(506\/66) + 1 + 1. Put 1, p, 18 in descending order.\nAnswer: 18, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**2\/i**(-1))\/(i**(1\/3)*i*i**(-6)))\/((i\/(i\/i**(-3\/8)*i))\/(i\/(i**(-5)\/i))*i**(-6\/7)\/((i**(-1\/3)*i)\/i*i)) assuming i is positive.\nAnswer: i**(2951\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 366593.899955 + -366593. Let g = -0.9 + o. Round g to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.4*81.6.\nAnswer: 32.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 2615*h. Let i(o) = -207 - o**2 + 207. Give u(i(l)).\nAnswer: -2615*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nnr when three letters picked without replacement from xtrxsrtntnttrrc?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 222 divide 19920396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/2 (b) 2 (c) 0.2 (d) -0.2 (e) -152 (f) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 2, p: 2}. What is prob of sequence pmm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00358953051 to 7 dps.\nAnswer: -0.0035895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 16 = 4*o, 5*y + 14 - 2 = 3*o. Let r(w) = 8*w + 6 - o - 4 - 9*w. Let g(u) = 4*u - 3. Let a be g(2). Calculate r(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 41*h**2 - 663*h - 81. Determine z(16).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Let q = 9\/10 - 23\/20. Let v = 0.611 + -0.021. Let s = v - 0.89. Put s, q, 6, 2 in decreasing order.\nAnswer: 6, 2, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the first derivative of k**3\/3 + k**2 + 3*k - 7. Let d be l(9). Suppose -2*q + 5*w + 70 = -d, 0 = 5*w. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 28 - 22 = 0. Let v be o\/(-5)*20\/6. Let b(x) = x**3 + 3*x**2 - 3*x + 4. Give b(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 178609442 is divided by 8930472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11729*i - 11729*i + 1909*i**3 - 1894*i**3.\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 125, 246, 365, 482, 597?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, a: 12}. What is prob of sequence na?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6624*l**4 + 1704*l**2 + 4 wrt l?\nAnswer: -158976*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.028 + -1.972. Which is the smallest value? (a) -4 (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) be the third derivative of -1\/6*f**3 + 1\/12*f**4 - f**2 + 42 + 0*f + 1\/12*f**5. Suppose 5*y + 14 = 4. Calculate q(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 20*d*p*u**3 + 2*d*u**3 + 11*d + 7*p*u**3 - 8*u**2 with respect to p.\nAnswer: 20*d*u**3 + 7*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-18)\/((-216)\/(-1152)*7152).\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*j = -2706 + 2526 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2241.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -304500 divided by 2436?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4696 - -4691.7. What is the second biggest value in -4, u, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 * -0.2938.\nAnswer: 0.1469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 4, n: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = 606.469 - 610.4. Let m = o - -3.64. What is m rounded to 2 dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -122 + 97. What is the tens digit of (-1)\/(-1)*(u + 301)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*k - 1 + 5*k + 4*k**3 - 6*k + 55107*k**2.\nAnswer: 4*k**3 + 55107*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 2*n - 1002823. Let o be m(0). Suppose 0 = -5*t - 0*t + 3464115. Let w = t + o. What is w rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3.294 - -0.156. Let g = d + -0.45. What is the closest to -0.1 in g, 1, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -196338, -196339, -196340?\n\"Answer: -i - 196337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (2\/((-4)\/(-2)))\/(5\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is d + 34a38d?\nAnswer: 34a39a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*o + 1171 + 247 = -40*o - 278 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3820 less than -0.2?\nAnswer: -3820.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1461 (b) 0.2 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) be the third derivative of z**7\/1260 + z**6\/90 + z**5\/15 + z**4\/12 - 4*z**2. Let g(o) be the second derivative of s(o). Let g(j) = 0. Calculate j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10226 + 204439\/20. Let b = -5171\/180 + 277\/9. Calculate the common denominator of b and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 49605 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 335423389?\nAnswer: 7, 37, 1295071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = -81 - -115. Calculate the remainder when 66 is divided by c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 174*a + 2144. Let j be u(-6). What is the greatest common divisor of j and 2860?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the third derivative of -7*z**4\/12 - 2*z**2 - z + 1111. Let t(h) be the first derivative of -20*h**3\/3 - 2. Determine o(t(x)).\nAnswer: 280*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = 677 + -2751\/4. Calculate the common denominator of (-2260)\/(-16)*8\/60 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 286154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -52 + 38. Let k = n + 16. Solve -k = -2*o + 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 13 = 12. Suppose 2*x - q*y + 1 = 0, -3*x = 2*y - 6*y - 16. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 29 - 101 = 5*b, f + 31 = -2*b. Let g = b + 2. Let r(i) = i**2 + 6*i. Let n(l) = 2*l**2 + 13*l. Determine g*r(s) + 6*n(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 4672114651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the third derivative of x**5\/30 - x**4\/2 + x**3 + 6*x**2. Calculate the remainder when j(7) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-7 - -5) + -3 + (-60)\/(-9). Which is the nearest to 0.1? (a) 0.3 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2 at most as big as -421753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1057\/(-63) - (-10)\/(-45). Let s(z) = 6*z + 2. Let x be s(3). Let h = q + x. Calculate the remainder when h is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 68757\/7 + -234257\/21. Let j = 105280\/79 + d. Let y = j - -5929\/474. Find the common denominator of y and 93\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 126\/10 + 13 + -5 + (-24)\/(-60)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 592 = -4*x + h, x + 2*h = -0*h - 157. Let c = 224 + x. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2850 and 150?\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 68 - 67. Which is the second smallest value? (a) z (b) 0.07 (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0004838656 to six decimal places.\nAnswer: -0.000484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0039853734 to five decimal places.\nAnswer: -0.00399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -602766*p**2 + 215*p + 13934 wrt p?\nAnswer: -1205532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*g + r + 25, 0 = -6*r + r - 25 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 40679925691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/115, -1\/6, -1\/4, -0.1 in descending order.\nAnswer: -4\/115, -0.1, -1\/6, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(11\/3)*k**17*(k**(-2))**(-1\/16))**(-10\/9) assuming k is positive.\nAnswer: k**(-2495\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -106\/525 and 8\/175.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10*(-44715)\/542?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -2*x**2 - 3*x - 11. Let k(a) = -a**2 - a. Let j(s) = b(s) - 3*k(s). Suppose 3*c - 3*w - 9 = 0, -5*c - 146 = 11*w - 33. Give j(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (7*s - 5*s - 3 - 1)*(0*s - 5*s - 1 + 2*s) in the form n*s + x + p*s**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9)\/(-2754)*6)\/(1\/6)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -443590, -3548708, -11976882, -28389640, -55448510, -95815020?\n\"Answer: -443588*t**3 - 2*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, i: 7, p: 1, g: 2, z: 3}. What is prob of sequence dgz?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -489, -1950, -4381, -7776, -12129, -17434, -23685, -30876?\n\"Answer: x**3 - 491*x**2 + 5*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -c**4 + 2*c**4 + 7*c**4 + (3*c + c - 5*c)*(0*c**3 + c**3 + 0*c**3).\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -44\/5 or -492653?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 2*h**3 + 25*h**2 + 16*h + 23. Let r be d(-12). Let m be (-10)\/r - (-186)\/10. Suppose m = 2*s - 73. Calculate the remainder when 182 is divided by s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 6*n - 2 = 5*n, -4*n = -12. Let w be (1 - o)*(3 - 4). Let r = -0.4 + -0.1. What is the nearest to 2 in w, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*v - 4*v - 9*v + 2*v - 2*v - v + 7*v - 6*v + 7*v + (2*v + 3*v - 4*v)*(3 - 3 - 2) + 2 - 2 + v - 5*v + v + 2*v to the form g + o*v and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -12 - -11. Suppose -9*l + 3*l = -24. Suppose -13 - 43 = l*p. Put p, z, 4 in increasing order.\nAnswer: p, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -8056 and -733150\/91 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -22*p - 8. Let r be w(-13). Let q = r - 486. Round q to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 34\/(-10) + (-6)\/(-15). Let l(j) = -2*j + 4. Let x be l(4). Which is bigger: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -2856 times -1\nAnswer: 2856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n**2 + n**2 + 0*n**2)*(-2 + 2*n + 2) - n**2 + 57991132*n**3 + 5 - n**2 - 57991945*n**3 + 2*n.\nAnswer: -811*n**3 - 2*n**2 + 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 33? (a) 1 (b) 9 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 3, m: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -32 greater than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the third derivative of -b**4\/12 + b**3\/6 + 2*b**2. Let o(i) = -i**3 + 47*i**2 + 50*i - 98. Let t be o(48). Give g(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -48 + 64. Let d(o) = -o**3 + 5*o**2 + 12*o - 16. What is the lowest common multiple of i and d(6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1170 or -1126?\nAnswer: -1126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(-2)*o**(4\/3)*o**(-2\/11)*o\/o**(1\/2) assuming o is positive.\nAnswer: o**(-23\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 77898 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4946005071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*o + 6460 = -244. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**2 - 2*g + 1. Let d(h) = -h**2 - h. Determine -5*d(t) + r(t).\nAnswer: 4*t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 78 + -16 - 74 - (-83 - 0)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be -6*((-22)\/12 - (-196)\/168). Let m(x) be the second derivative of -x**2 - 8*x - x**3 + 0 - 1\/12*x**c. Give m(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(931) + 0)**2.\nAnswer: 56*sqrt(19) + 947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = -6*t + 3, -5*i - 4*t = -54. Let c = i + -3. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -11 - (-3 - 1) - (8 + -13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0 + (-6)\/9 + (-4)\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 11848*p - 11856*p - 160 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add 1038.87 and -14.0787.\nAnswer: 1024.7913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = x**3 + x - 3. Suppose -z - 12 = 2*m - 7*m, 4*m - 24 = -4*z. Suppose 3*h + 4*k - 6 = -2, -4*h = -m*k + 3. What is r(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.5 + 0.1. Let k = -1895.89 - -1895.29. Let s = -0.19 - -0.2. What is the third biggest value in k, s, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/(2\/(-12)))\/((-9879)\/6586)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -j + 1 + 3. Let s = -60 + 107. Let o = 63 - s. What is the highest common divisor of o and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:43 AM and 4:11 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 + -36)\/(3\/(-6)). Let u = v + -24. Suppose -z + u = z. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.4+1908920\nAnswer: 1908920.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand 37 - 1 + 39*s - 37*s + (-1 - 1 + 4)*(0*s - 4*s + 2*s).\nAnswer: -2*s + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 19618*h + 1549833. What is x(-79)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/2)\/((-4)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-4568)\/(-504) - 9) + (-2)\/(-9). Which is the smallest value? (a) -8 (b) k (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 3, y: 12}. Give prob of sequence yyq.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y + 10*r = 8*r - 20, 2*y - 5*r - 2 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 12 = -4*m, -100 = -4*v - 2*m - 40. Solve v = -2*d - d - 5*h, 4*d = -h - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:17 AM and 3:49 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -828*u*v**2 - u*v - 75*u + 2*v**2 - 261228 with respect to u.\nAnswer: -828*v**2 - v - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 632244951.\nAnswer: 3, 13, 101, 53503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -8*v - 5. Give x(-7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uq when two letters picked without replacement from tqfuvtfqfuftbquff?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 584741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -9, -3, 3, 9, 15?\n\"Answer: 6*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -23 + -1234004?\nAnswer: -1234032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 5 (b) -4 (c) 0.89 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -12 - -11 - (1 - -1) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -37 + 37. Let u(t) = -4*t**2 - t + 2 + 6*t**2 - t**2. What is u(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q + 1. Let r be s(0). What is the smallest common multiple of (-2 - 1)*(-2)\/r and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -48, -63, -114, -219, -396, -663, -1038?\n\"Answer: -3*m**3 + 6*m - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4)\/2*(-9)\/6. Suppose -10 = -v*x + 5*r, 0 = 3*x - 2*r + 4*r + 25. Do x and -5 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the first derivative of -m**2\/2 + m + 1. Let a(c) be the third derivative of -c**5\/60 + 5*c**4\/24 - 5*c**3\/6 - 2*c**2. Determine a(g) + 5*l(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**3\/11 - 300096*b**2\/11 + 11252698362*b\/11 + 337851091260\/11.\nAnswer: 2*(b - 75039)**2*(b + 30)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (1\/3)\/((-9)\/(-2518 - -7)) is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26264112403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:39 AM and 9:25 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: ((-96)\/3 - -26) + (-6)\/2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 4*w = 32, 3*u - w = 3*w - 29. Let o be (u\/6)\/((-1)\/6). Suppose -21 = o*q - 57. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1023962 and 128510.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 435978 and 596250.\nAnswer: 272486250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3704 + -3?\nAnswer: 3701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -12866569*l**3\/2 + 141546607*l**2\/2 - 78916*l + 22 = 0 for l.\nAnswer: 2\/3587, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4226, -6920, -9614?\nAnswer: -12308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 21.8 - 491.\nAnswer: -469.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43 is divided by (-2)\/5 - ((-1344)\/15)\/4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8190)\/(-113880)*146*(-1)\/(1*24\/(-10)).\nAnswer: 35\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 4*b = -10. Let i(j) be the first derivative of j**4\/4 - 5*j**3\/3 + 3*j**2 - 4*j + 2. Let h be i(4). Sort b, -4, h.\nAnswer: -4, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - v = -0*o - 6, 0 = -o - 3*v + 4. Find the first derivative of -5*i**3 + o*i**3 - 6 + 0*i**3 wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 162 divided by -2079?\nAnswer: -6\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-12)\/18 - 58\/(-6). Sort -3, 4, m in increasing order.\nAnswer: -3, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -235*f**2 + 1253*f - 171371 wrt f?\nAnswer: -470*f + 1253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least as big as 303\/198416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -197*o - 230468 + 229483 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2472)\/(-8652) - (-142)\/462*-3.\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -2*j + 13. Let z be y(6). Suppose -v = u - 5, -v + 0*v = z. What is the lowest common multiple of u and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t = b - 84, -8892*t = -8869*t - 5*b - 348 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/4? (a) -1\/3 (b) -0.4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*w + w**2 - w**3 + 0*w**2 - 4*w + (-102 + 68 - 177)*(3*w**2 - 3*w**2 + 2*w**3) to the form l + j*w + m*w**2 + p*w**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -3*i**3 + 1 + 7*i**2 + 18*i**2 - 26*i**2. Calculate b(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17 + 414\/(-198) + 19?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 12071416657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4921438, 4921452, 4921476, 4921510, 4921554, 4921608, 4921672?\nAnswer: 4921746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x - 4*x - 8*x + 0*x - x + 2*x + (-1 - 2 + 5)*(0 + 0 + x))*((3 - 3 + x**3)*(6*x - 2*x - 3*x) + 3 - 3 - 2*x**4).\nAnswer: 9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/7, -1, 0.1, 5\/4, 15, 1\/4 in decreasing order.\nAnswer: 15, 5\/4, 1\/4, 0.1, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pz when two letters picked without replacement from hpuuzp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 28991087 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 929496 and 56.\nAnswer: 6506472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 6*t**2 + 37*t - 26. Let k be w(-7). Which is the second biggest value? (a) k (b) 0.6 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 4 - 1)*(-1 + 0 + 4)*(-m - 47 - 4*m + 3*m).\nAnswer: -6*m - 141","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 648 and 5256.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 455654142 divided by 18?\nAnswer: 25314119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -204982.057 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -9*q + 8. Let m(y) = -4*y + 4. Let v(x) = -2*k(x) + 5*m(x). Let i be v(4). Let c be 3\/i + (-11)\/(-4). Solve -a - c = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -18 + 13. Let h(s) = -10*s - 4. Calculate the remainder when h(l) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2820?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 195217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be (9\/(-12))\/((-1)\/4). Suppose b*t = 3*s - 30, -19 = t + 3*t + 3*s. What is the common denominator of (-1)\/9*49\/t and -73\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3067150057?\nAnswer: 3067150057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3165 divided by -4?\nAnswer: -3165\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 252, 1023, 2308, 4107?\nAnswer: 6420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -18*c**2 - 796*c - 166. Let x(j) = 5*j**2 - 3*j + 1. Let d(v) = 2*p(v) + 20*x(v). Factor d(a).\nAnswer: 4*(a - 26)*(16*a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = x**2 + 3*x - 1. Let a be y(4). Let j be (-2)\/(-72) + 6\/a. Let i = -0.49 + 0.19. What is the closest to j in i, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 3*z + 8 = 0. Is 14 a factor of 3 + 148 + z + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**3\/(((p\/p**(-1))\/p)\/p*p))**(-4\/11)*(p**6*p\/(p*p**(2\/9)))\/(p**1\/p)**(15\/8) assuming p is positive.\nAnswer: p**(500\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -c + 3. Let b(l) = -l**2 + 10*l - 6. Suppose -3*m = 2*h - 4 - 29, 0 = -5*h + m + 40. What is the least common multiple of b(c) and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11354, 11335, 11282, 11177, 11002, 10739?\nAnswer: 10370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes before 11:28 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -v**3 + 36*v**2 - 28*v - 242. Let m be l(35). Solve -2*u - 5*z + 31 = 0, 11*u - m*z = 12*u - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 99813 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 587 minutes after 8:31 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 97240 divided by -85?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 1923 divide 2632806464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*z + 8*z + z)*(10*z**2 - 21*z**2 + z + 4*z**2)*(z + z**2 - z).\nAnswer: -63*z**5 + 9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 751651 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 225881367?\nAnswer: 3, 19, 23, 172297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by 3558.\nAnswer: 1\/1779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -x**3 + 5*x**2 - x + 9. Let y be 3*(1 + 8\/12). Let m be u(y). Solve 7*f = m*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 61*x + 312. Give p(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let 2\/25*k**5 + 168\/25*k - 88\/25 + 18\/25*k**4 - 2*k**3 - 2*k**2 = 0. What is k?\nAnswer: -11, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 18 and 4994?\nAnswer: 44946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -35\/6 and 11\/180204?\nAnswer: 180204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -236.6 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l + 9. Let m be f(-5). Suppose m*u + 6 = -6. Is ((-2)\/u)\/(6\/108) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25.608672 minutes in days?\nAnswer: 0.0177838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5 + -2. Suppose -4*b + 3 = -n - 16, -4*n = a*b - 38. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76*l - 79 - 10181 = 0. Calculate the least common multiple of 105 and l.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 0 - 1)*(33*f - 17*f + 3*f)*(-2*f - f + 4*f).\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.3 + -1. Let s be 1\/(-2)*2\/4. Sort s, t, 0.2 in increasing order.\nAnswer: s, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 503 + -423. Calculate the highest common factor of 220 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2534 - 2539. Let d = 42 - 42.2. Let t = -5 - -5.4. What is the nearest to 0 in t, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2021060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmnmmmmnmnmnmmnmnnnl. Give prob of picking 1 l and 1 m.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4860765 and 259155.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -149545537.3 rounded to the nearest one million?\nAnswer: -150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 + -37)\/(94 - 93)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 46395?\nAnswer: 3, 5, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 4690 greater than -24\/127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = -2*m + 9, -b - 3*b = -5*m - 3. Let q = -99 + 102. Let z be 6\/3 - (-38)\/(-18). What is the smallest value in z, q, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -22 + -276b?\nAnswer: -278d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 42\/(-18)*18\/21 + 16\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 31*c**3 - 3*c**2 - c + 18. Calculate v(2).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-1\/4))**(2\/5))**(2\/57)\/((p**(2\/7)\/(p*p*p**(-3\/2)))\/(p*p**(1\/2)*p)**(-26)) assuming p is positive.\nAnswer: p**(-258509\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4)\/(-18) + (-175)\/(-63). Solve 5*x + 2*w = r*w + 16, w - 14 = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18873123.\nAnswer: 3, 6291041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 4*x**2. Let a be (-12)\/(-2) + -4 - 0. Let k(b) = b**a + 2*b - 2*b + 0*b. Let s(o) = 4*o**2. Let v(f) = 6*k(f) - s(f). Give d(v(y)).\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 1 + 2*l**2 - 3*l + 7*l**2 + 2*l. Let p be y(1). Solve -k - k + p = -v, 0 = -4*v - 20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(1470) - (sqrt(1470) + 1*sqrt(1470) + sqrt(1470)))\/((sqrt(36)\/sqrt(3))\/sqrt(2)).\nAnswer: 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -103 - -286. Let l = p + -40. List the prime factors of l.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-20)\/(-15))\/((-1)\/81). Let g be (-806)\/5*(-3 - (-6531)\/w). Let b = 10236 - g. Find the common denominator of 73\/33 and b.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x = -2*g + 5, 5*x - 4*g - 30 = -g. Suppose -4*h = -1 - 19, x*f = -h + 149. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (-69 + 102)*15\/(-15)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11044546 is divided by 204?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1699316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 0.9134013 meters?\nAnswer: 913.4013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 3943.81ml?\nAnswer: 3.94381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-216)\/27*3\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the third derivative of -m**6\/20 - m**5\/30 - m**4\/24 + m**3\/6 - 28*m**2. Let i be d(-1). Calculate the highest common factor of i and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 59 + -32. What is o in 36*o - 1 + 7 - 8*o + 5*o + w*o**2 = 0?\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 8*h**3 - 35*h + 3. Let x(m) = 4*m**3 - 17*m + 1. Calculate 2*w(b) - 5*x(b).\nAnswer: -4*b**3 + 15*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*k**3 - k**2 + k**2 + (-7*k**2 + 5 - 5)*(0*k - 3*k - 2*k).\nAnswer: 37*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 - 0. Let p(h) = h**3 + 3*h**2 + 4*h + 2. Let a be p(l). Let k = 0 - a. Solve k = -2*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (91\/(-14))\/(2\/(-4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -0.5, 3, 18, 16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -62, 7, -1687 in decreasing order.\nAnswer: 7, -62, -1687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = -189 + 184. Sort -93, 3, n in increasing order.\nAnswer: -93, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-3)\/2)\/((-3)\/6). Suppose -5*l - 15 = 5*b, -1 = b - 0*b. Let s(c) = -18*c - 3. Let j be s(l). Solve -5*r = 4*z + j, r - z - 12 = x*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a**5\/6 - 365*a**4\/6 + 2155*a**3\/3 - 5395*a**2\/3 + 10085*a\/6 - 3245\/6 = 0 for a.\nAnswer: 1, 11, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7, 1, 23, 65, 133, 233, 371, 553?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkoyykykfkfgggkyoo. Give prob of picking 2 y.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the first derivative of 2*d**5 + 11*d**2\/2 + 6. Find the second derivative of s(z) wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 56250 and 2510750.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -14565*t**4 + t**3 - 83*t**2 - 78104470*t.\nAnswer: -174780*t**2 + 6*t - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-30)\/(-9) + (-4)\/(-6). Let u = -10.595 - 0.005. Let c = -11 - u. What is the second smallest value in 5, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -32 + 7903?\nAnswer: 78c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10203 and 228.\nAnswer: 40812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8 + (-235)\/29)\/((-6 - -7)\/(8\/(-6))).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 11*o - 2. Let j(k) = 12*k - 3. Give -5*j(a) + 6*t(a).\nAnswer: 6*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1*(2\/(-1) - 8). Suppose -h - 14 = -2*s. Suppose 3*o + 3 = 3*z, -o = -3 - 2. What is the greatest common divisor of s and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 366*h**3 - 850*h**3 + 437*h**3.\nAnswer: -47*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = i + 5. Let d be (i\/(-4))\/((-1)\/4). Let c(n) = 10*n**2 + d*n**2 - 18*n**2. Let g(r) = 5*r**2. Determine c(g(v)).\nAnswer: -75*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 2, h: 6, l: 4, m: 1}. Give prob of sequence lhl.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 21475298 and 8905.\nAnswer: 1781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2*43 + -5 + 9. Calculate the greatest common factor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -237*n - 542*n**2 - 235*n + 467*n.\nAnswer: -542*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -2*m + 9. Let z be g(4). Let d(s) = 4*s - 1. Let t(x) = x - 1. Let q(f) = -d(f) - 4*t(f). Let h(u) = u - 1. Calculate z*q(v) + 6*h(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -302?\nAnswer: -1\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27236.\nAnswer: 2, 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.06 + -3.94. Which is the closest to 11? (a) -0.2 (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-58)\/232 - (-742)\/120. Let h = -33\/5 + p. What is the second biggest value in -2\/9, 8\/9, h, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the third derivative of -37*d**4\/24 + 118*d**2. Let n(g) = 4*g. Calculate n(v(u)).\nAnswer: -148*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i and 1 d when three letters picked without replacement from {i: 3, d: 7, x: 8}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 445690 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -6, -92, 8070, 4\/3?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1144749486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 21 - 1600?\nAnswer: -1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 6, k: 4}. What is prob of sequence rrkk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4785*x**2 - 2384*x**2 - 2391*x**2.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*c**2 + 0*c**2 - 3*c**2)*(c**2 + 1 - 1)*(1 + 2 - 2).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9 - 0. Let v be 2\/a + (-96)\/540. Let g = 3\/2 + -5\/4. Which is greater: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2281.817 - -2294.4. Let m = 12.56 - 0.06. Let r = g - m. What is r rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 681 minutes after 5:06 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1465 (b) -2\/51 (c) 1\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 22\/2315 and -49\/155?\nAnswer: 71765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6670 divided by 46.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 2*v**2 - 208863*v + 626564. What is i(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 4, -10, -42, -98, -184, -306, -470?\n\"Answer: -m**3 - 3*m**2 + 2*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 22.3 - 2.3. Let x = f - 18. Let w = -0.09 - -3.09. Which is the closest to x? (a) -2\/7 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1 + -4 + ((-99)\/(-30))\/1. What is the third smallest value in -0.1, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s**2 + 3*s + 4. Let n be q(3). Suppose k + 25 = f, 5*k = n*f - f - 71. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2 and 5431.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 159830423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 415*q - 89*q - 94*q - 225*q - 21*q**2 in the form s + z*q + c*q**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.4555 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 69*f - 3. Let d be b(35). What is the units digit of d\/12 - (-28)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -353 in -0.05, -7, -3, 1\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4\/(-20)*(-1 + 0). Let i = 5 + -7. Let h = 13\/45 - -2\/45. Which is the closest to j? (a) h (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 276863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x be (4 - 153\/27)\/(5\/(-54)). Solve -x = -3*h - u, 22*u = -3*h + 20*u + 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m = -72*u + 122, -4288 + 4263 = 4*u - 3*m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1111*z**3 - 91*z**2 + 1639508*z + 1.\nAnswer: -6666*z - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*l - 2*l + 5*l)*(2806*l - 1230*l + 2396*l).\nAnswer: 3972*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 30 = -2*w + 146, 2*w + 2*g = 164. Suppose 0 = j - 3, 0 = 5*t - t - j - w. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1498747951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1560837844.\nAnswer: 2, 390209461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -45 divided by -156?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = 58 - 820. Let x = 5411 + f. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4\/5 (b) -1\/1758 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -19303 - -19308. Solve -4*w - 4 = -4*v, -8*w - 6 = -4*w - l*v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9)\/(-27))\/(1*(-3)\/(-6))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 6 by 137.\nAnswer: 6\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of (2 - 66\/(-9))\/(1\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that 2*o**3\/5 + 30454*o**2\/5 + 111276032*o\/5 - 35787694536\/5 = 0.\nAnswer: -7762, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*-3*(sqrt(63))**2.\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u + 4 - 12. Suppose 5*d = -2*t + 4850025, -5*t + 1940031 = d + d. Suppose -4*h + u*m = -3879988, d = h - 0*m + m. Round h to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (4\/(-6))\/(9\/((-162)\/12)). Let d(y) = -1 - 4*y + 5*y + x. Let o(r) = -78*r. Determine o(d(m)).\nAnswer: -78*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -2*o + 7. Let c be h(-6). What is the greatest common divisor of c and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/h**(-2\/19))\/h*(h*h**(-2\/13))\/h*(h**(1\/3))**(-5))\/(h\/h**0*h**2)**(4\/7) assuming h is positive.\nAnswer: h**(-17789\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9 + -17. Let a = 12 + j. What is the third derivative of 3*p**2 - 5*p**a + 4*p**4 - p**2 - 5*p**2 wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -90714 or -90696?\nAnswer: -90714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.03, -820\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p + 2*k + 3*k + 330, 5*k - 290 = -2*p. Let l = 386 - p. List the prime factors of l.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*h - 3*p + 1287, -7*p + 3*p = h - 444. What is the greatest common divisor of 954 and h?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 15\/(-10)*128\/(-6). Let h be w\/(-12)*3\/(-2). Suppose -27 = h*y - 107. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (22\/(9196\/114))\/(6*1)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-9 + 8)*(-13 - -2). Let h = z - 7. Let p be 3\/h*(-3 - 213\/(-63)). What is the closest to p in 3\/2, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g**2 - 2*g - 3. Let k be y(-6). Let i be (-3 - k\/6)\/((-5)\/20). Let s(b) = b**2 + 7*b + 8. What is s(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -52 (base 13) to base 16.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -3 + 9 - 6*m + 18*m. What is the units digit of d(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*r = -31*r - 22*r + 316 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3230*g**3 + 505*g**3 + 2473*g**3 - 1329*g**3.\nAnswer: 4879*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1934328, 3868457, 5802572, 7736667, 9670736, 11604773?\nAnswer: 13538772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be 5 - (6\/2 - 3). Suppose 4*d + m + 4 = 0, -a*d - 8 - 12 = 5*m. Suppose d*g - 4*g = -148. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 60864 from -4.\nAnswer: -60868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes after 6:17 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4 and -147.7135?\nAnswer: -590.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lllcllllllclclllllll. What is prob of picking 2 c and 1 l?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -12b432 (base 13) in base 14?\nAnswer: -bb2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2, -3\/4, -3, 33\/5?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + (-12 - -4 - -14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -468 + 5152\/11. Suppose 2*z - m - 2 = -3*z, -3*z - 3*m = -12. Which is bigger: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 159.24 to the nearest integer.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*k + 800 = 774. Let a(i) = i**3 + i**2 - i - 1. Let b(j) = -11*j**3 - 6*j**2 + 5*j + 4. Calculate k*b(z) + 5*a(z).\nAnswer: -6*z**3 - z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 2441.9 times -6\nAnswer: -14651.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -20995 divided by -65?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 96015683?\nAnswer: 19, 127, 39791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -10 in -0.5, 0.3, -0.47?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from imtppmttipwwupwit. What is prob of sequence ptim?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (106329\/(-335))\/(12\/(-40)) is divided by 180?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*t**2 + 6*t**2 + 3*t**2)*(0*t**3 + 2*t**3 - t**3) + 51*t**3 + 54*t**5 - 51*t**3.\nAnswer: 58*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(32\/(-2))*-8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 5*(1\/5 - (-1 + 0)). Suppose 14*g - i*g = 80. Solve -3*j = -g*j + 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*(sqrt(147) - -2*sqrt(147)) + sqrt(147))*-4)**2.\nAnswer: 150528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -69*b + 29 = -93*b + 293. Solve 2*i = t + 6, t - b*i + 8*i = -7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the second derivative of 5*a**3\/6 - a**2\/2 - a. Let g be w(2). Let o(z) = -z**2 + 8*z - 1. Let v be o(g). What is v rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 4*t - 57. Let i be n(16). Suppose 10 = i*v - 11. Suppose -6*q - v*q = -63. Solve -4*k + 3 = -l + q, 2*l - 5*k - 8 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.12, -5, -4\/13, 5, -1\/6 in decreasing order.\nAnswer: 5, -0.12, -1\/6, -4\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(-4\/11)*p**(-19))**27 assuming p is positive.\nAnswer: p**(-5454\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(156)*4)\/sqrt(12))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2193*n**5 + 8*n**2 + 266*n wrt n?\nAnswer: 131580*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in 1.3, 5, 0, 17, 319?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -14352 divided by -20?\nAnswer: 3588\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3820496930?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z**2 - 29*z + 6. What is w(28)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 27, -3\/4, -4, -0.2, 0, -7\/390.\nAnswer: -4, -3\/4, -0.2, -7\/390, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Suppose g - 14 = -10. Suppose n + 3*n - 1484 = -g*a, 5*n - 1869 = 2*a. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7941986 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-12)\/3)\/8*0 - -5. Suppose o + 3243 = -0*k - b*k, 5*o + 4*k = -16299. Is (-4)\/6 - o\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -18 + 9770*p - 16 - 19479*p + 9766*p in the form x + o*p and give x.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 8554633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-6)\/(-14) + 424\/56. Let z = 17 - w. What is the remainder when z is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -12*p - 39. Let u(n) = 2*n + 1. What is 4*u(o) + y(o)?\nAnswer: -4*o - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = -2*y - 2. Suppose 2*c + 0*c = 5*o + 58, -4*c + y*o = -84. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 8\/183 and -29\/2501.\nAnswer: 7503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = -14 - -18. Suppose -3*p = 0, 7*z + 5*p = l*z + 9. Determine u so that -1\/6*u**2 + 0*u + 0 + 1\/6*u**z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 438*a + 3591. Let l be m(-8). Calculate the greatest common factor of 34104 and l.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 381 = c - 49, 5*n + 2*c = 1688. Is 56 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 612 and 102?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 7427280 or -8?\nAnswer: 7427280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3906.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 x and 1 r when four letters picked without replacement from {x: 6, r: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 11101100111111000001 (base 2) in base 8?\nAnswer: 3547701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k\/(k\/k**1))**(-2\/15)*(k\/(((k\/(k\/k**(-1\/2)))\/k)\/k))**(-4\/7))**(-44))**41 assuming k is positive.\nAnswer: k**(57728\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = -427 - -426.9642. Round j to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = o**3 - o**2 - 3*o + 2. Let g be h(3). Suppose 0 = 2*t + 6 - 0. Let f = t + g. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wwj when three letters picked without replacement from wsekvejw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 6, 136 in increasing order.\nAnswer: -4, 6, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -19516\/9 - -183088\/63. Is c smaller than 738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that 0 + 6\/5*g**3 - g**4 + 0*g + 1\/5*g**5 + 0*g**2 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 3*s**3 + 24*s**2 - 14*s - 23. Let z(n) = -n**3 - 8*n**2 + 5*n + 8. Determine -3*c(w) - 8*z(w).\nAnswer: -w**3 - 8*w**2 + 2*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Multiply -467 and -194.\nAnswer: 90598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 10639, -3\/4, 3\/19, 4, 2, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 3, f: 7}. What is prob of picking 3 f and 1 h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 16940*x - 811. Is o(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = -7*f. Suppose 4*k - 10 + 26 = -4*d, 2*k + 8 = f. Suppose -5*n = u - 47, d = u + n - 6*n - 7. Is 27 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1705991839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 times -6619778?\nAnswer: 2647911.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 2*d + 42. Let v be b(17). Is 15 a factor of 11*(0 + v\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**2 + 200*r - 198.\nAnswer: -2*(r - 99)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 172 and 2917593?\nAnswer: 11670372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -9*o**3 - o**3 + 8 - 5 + 7 wrt o.\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0\/((3\/(-9))\/((-1)\/(-6))). Let g = 146 - z. List the prime factors of g.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -0.06, 1\/2, 13, -4 in descending order.\nAnswer: 13, 1, 1\/2, -0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - -2 - 5 - (-1 + -1 - 14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -101010011111001101 (base 2) to base 13.\nAnswer: -6129b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n*n**(-20))\/(n*n**(5\/9))*(n\/n**(-1\/2)*n)\/(n*n**(-12)*n*n) assuming n is positive.\nAnswer: n**(-145\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -4*q**2 - 11*q - 2. Let c(z) = z**2 + z. Give 3*c(m) + x(m).\nAnswer: -m**2 - 8*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1309*q + 127*q**4 - 1313*q**2 + 234*q**4 - 1309*q wrt q?\nAnswer: 8664*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 71\/2002 and -103\/9776.\nAnswer: 752752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -63*z = -147*z + 756 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 117 = -15. Let j(l) = -l**3 - 12*l**2 - 16*l - 10. Let o be j(-10). What are the prime factors of ((-3)\/1)\/(c\/o + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, a: 2, n: 2}. Give prob of sequence mn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1207604.\nAnswer: 2, 301901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n**2 + 5*n - 13. Give k(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.25 in 0.2, 1\/4, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -1678 smaller than -1648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of -65840.857 and 0.1.\nAnswer: -6584.0857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*j**3 - 369820*j**2 + 1109408*j + 1479232.\nAnswer: 4*(j - 92452)*(j - 4)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 7, r: 2}. What is prob of picking 2 a?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*l**2 + 4*l - 4*l - 7 + 29.\nAnswer: 7*l**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2945, 3524, 4483, 5816, 7517, 9580?\nAnswer: 11999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 10 (base 13) to base 15\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 4. Let x(l) = l - 1. Give -3*w(m) - 3*x(m).\nAnswer: -3*m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(11\/2)*t)\/t**(-1\/30))**(8\/3) assuming t is positive.\nAnswer: t**(784\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*f**2 + 2*f**2 + f**2 + (f + 3*f - 3*f)*(1 - f - 1)*(-1 - 25 - 1).\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2115207 is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**0)**(-30)\/(b**2\/(b*(b\/(b\/(b*b\/b**12*b)))\/b*b*b*b)))**(-26))**21 assuming b is positive.\nAnswer: b**4368","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = -6 + 3. Suppose 0 = q + c - 9, -2 = -27*q + 29*q - 3*c. Sort q, -5, -2, o in ascending order.\nAnswer: -5, -2, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -659, -2474, -5447, -9578, -14867?\nAnswer: -21314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -44, -54, -50, -26, 24?\n\"Answer: m**3 + m**2 - 20*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are 28493519\/2 and 14246760 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 241387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is b3 (base 12) in base 9?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -3196 divided by 799?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 304, 784, 1432, 2254, 3256, 4444?\nAnswer: 5824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - ((-152)\/14)\/(-4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -1712396 divided by 18613?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 22547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(77) - -2*sqrt(77)))\/(-5*sqrt(63)).\nAnswer: -3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 18 or 10449\/554?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**3 - 25*i**2 - 55*i + 32. Let y be v(27). Put y, -1\/23, -2\/7, -2, -5 in ascending order.\nAnswer: -5, -2, -2\/7, -1\/23, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101001011 + 1101001101000?\nAnswer: 1100100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 36*f**2 - 5*f - f**3 + 3 - 15*f**2 - 17*f**2. Suppose g + 8 = l, 19*l = 16*l + 4*g + 29. Calculate t(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:43 PM and 9:39 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 6442 a factor of 7937368576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -345*d + 367*d + 0 - 773*d + 0.\nAnswer: -751*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 - 3 - 4*z**3 + 6*z**3)*(-184 + 671 + 823)*(-4*z + 2*z - 2*z) to the form f*z**4 + p*z + n*z**3 + v*z**2 + s and give f.\nAnswer: -10480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 2\/11, 1, 2\/5, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 51629 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (0 - 0 - 0) + -31 + 32\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 9\/31 and 909\/(-54) + 3 + -1?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 77844.57 years?\nAnswer: 778.4457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 1 = -2. What is the least common multiple of 4 and ((-6)\/(-12))\/(m\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14001 divided by 359?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 3*h**2 - 34*h - 353. Let z be f(18). Let o(j) = j**3 - 8*j**2 + 6*j + 15. What is o(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28 = -180*o + 178*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/11 and -97\/146.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 66411 is divided by 144?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2294113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 51*v**2 - 2*v - 7. Is a(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + t - 6 = 13, -4*f + 4*t + 20 = 0. Suppose -i + f = i. Let g(o) = -o + o**i + o. Let u(k) = -k**2. Determine u(g(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 1101*y - 2275*y = -76310 for y.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 4 = 4. Let o = -13\/21 + 16\/7. Let a = o + t. What is the nearest to 2 in 0.5, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27280022135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jejjjejejjjejejjeje?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p**3 + 27*p**2 - 2*p + 62. Let k = -20 + 35. Suppose -4*t + 5*q + k = 0, -10 = -2*q - 0*q. What is the smallest common multiple of u(27) and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z = -29*j + 381 - 255, -z + 21 = 4*j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 0*r + 5*c = 1, -3*r = -5*c + 7. Let q be 1*15*r\/9. Suppose -q = -i + m, 3*m = -0*m + 6. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4d51 (base 14) to base 12.\nAnswer: 7a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l = -5*l + n - 5, 2*n = -l + 8. Suppose -3*v = -w - 2*w + 114, 205 = 5*w - l*v. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-3*sqrt(275))**2 - 1*(4 + sqrt(275))**2.\nAnswer: -40*sqrt(11) + 2180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -8 + 2*s**2 + 0*s**2 - 3*s**2 + 8*s + 7. Let p(y) = 3*y**2 - 11*y + 2. Let m be p(4). What is w(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 259.27 from 42.\nAnswer: -217.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**3 - 8*h**2 + 16*h - 167. Let j be o(-11). Let b(q) = 22*q**2 + 2*q + 6. Let p be b(6). What is the greatest common divisor of p and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1332 and 16206.\nAnswer: 97236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1870597.\nAnswer: 1870597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -235 (b) 2 (c) -1\/4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -13*b**3 - 110763*b**4 + 8*b**2 + 110762*b**4 + b - 6*b to the form o*b**3 + d*b**2 + n*b**4 + k + v*b and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:15 PM and 5:04 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 441*c**3 - 5*c**2 - 376. Let h(j) = 223*j**3 - 3*j**2 - 188. Let n(l) = -5*h(l) + 3*s(l). Find the first derivative of n(r) wrt r.\nAnswer: 624*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gggwygwibbviwy. What is prob of picking 1 w, 1 i, and 2 g?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/34)\/((-39)\/(-156)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = 2*q - 15. Solve t + 8 = 3*y, -5*y + y = -q*t - 29 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 139 minutes before 1:08 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 33\/527 + -11107\/59551. Let a = 832\/1243 + h. What is the second smallest value in -0.2, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = -1 + 9. Suppose -1796*y = -1811*y + 60. Solve -m - m + 5*w = -25, 0 = 2*m + u*w - y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (59557 - -11)\/12 + 8 + (0 - 2)?\nAnswer: 2, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 4*z**2 - 1. Let m be f(1). Let k = 109 - 44. Let b be 3\/(k\/(-80) - -1). Solve c = t - 4, t - b = -m*t + c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 14 = -4*b, 5*b + 5*k - 11 - 4 = 0. What is the highest common factor of 35 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -53, -150, -343, -680, -1209, -1978?\nAnswer: -3035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -67875 + 310779 = -g - 5*d, g + 242904 = 4*d. Suppose -78025 = -3*f + 251687. Let r = f + g. Round r to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(448)*-1 + -2 + 1 + 5 + sqrt(7)*-2.\nAnswer: -10*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve f = -2*x - f + 14, 0 = 5*x - 3*f - 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v**3 + 4*v**2 + 7*v - 7. Let f be n(5). Let k be (-3 - -1) + (3 - -17 - -1). Suppose 18*h = k*h. Solve h + 3 = -f*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -2530, -2524, -2514, -2500, -2482, -2460?\n\"Answer: 2*o**2 - 2532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1682 a factor of 34046749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/11? (a) 2\/3 (b) -138\/7 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/20*5\/75*10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -11*c**3*w**3 + 23*c**3*w - c*w**3 + 14*c - 3*w wrt c?\nAnswer: -66*c*w**3 + 138*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -14 (b) -0.06484 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -22 at most as big as -4806\/209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*y = 3*y - 48. Let q(v) = 3*v - 68. Let a be q(22). Calculate the least common multiple of a*(y\/(-3) - 12) and 68.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 42281 is divided by 694?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be 631086\/(-25) - (4 + -9)\/(-10). Let z = 25242 + y. What is the common denominator of z and 97\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*d - 15 = -40*d. Suppose 13*v - d*v - 1590 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1438970 and 7930.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is -10a4 (base 13) in base 10?\nAnswer: -2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**3 - 9*t**2 - 12*t + 18. Determine l(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 t and 1 y when four letters picked without replacement from yytttttttyy?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*f*o**4 + 52*f*o**3 + 38*f*o + 3866*f + 13 wrt o.\nAnswer: -12*f*o**3 + 156*f*o**2 + 38*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-b**2 - b**2 - 2*b**2)*(2*b + 3*b - 4*b) + 3407 - 5*b**3 - 2854 + 4*b**3 to t + r*b**3 + y*b + i*b**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 16263, 16245, 16223, 16197, 16167?\nAnswer: 16133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be 23\/((-552)\/(-9)) - (0 - 1239\/24). Sort 3\/4, j, -123 in decreasing order.\nAnswer: j, 3\/4, -123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 16163*c**3*n**2*x - 56730*c**3*n*x**2 + 7*c**2*n*x**3 + 24*n**2*x**3 wrt n?\nAnswer: 32326*c**3*x + 48*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/u**(-2\/3))**(-1\/63)*u\/u**18*(u**12*u)\/u*u*u assuming u is positive.\nAnswer: u**(-572\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -0.239663 - 3\nAnswer: -3.239663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 36195*u**3*w**2 - u**3*w - 18*u**3 - 643*u + 2 wrt w?\nAnswer: 72390*u**3*w - u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -61 + 85. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -2*f**2. Let u(q) be the third derivative of -q**5\/10 + 11*q**2. Determine o(u(s)).\nAnswer: -72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = -104534 + 175534. What is a rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -520 + 2*u**3 - 53364*u - 3*u**2 + 53364*u.\nAnswer: 2*u**3 - 3*u**2 - 520","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Simplify b**(1\/2)\/b**(2\/3) assuming b is positive.\nAnswer: b**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the first derivative of -21*i**2\/2 - 55*i - 17. Differentiate u(g) wrt g.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 455*j**2 + 173*j**2 - 111*j**2 in the form m*j + t*j**2 + y and give t.\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2\/3)\/((-1)\/(-12)). Let v be (12\/x)\/((-2)\/(-4)). Solve -v*k - 2*f + 10 = -0*f, 15 = -k + 3*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 749*b + 2. Let x be u(-2). Find the common denominator of 17\/10 and x\/(-168) + (-8)\/14.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.0678 and -6626.\nAnswer: -449.2428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((sqrt(1300) - (sqrt(1300) + sqrt(1300) + (sqrt(1300) + 5 - sqrt(1300)))) + sqrt(1300))*-3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Subtract 18.7 from -0.098.\nAnswer: -18.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3137 + -584. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8417\/2 + 4179. Which is the nearest to -0.1? (a) -0.1 (b) v (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 12637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m + 8 = h, -3*m + 9 = h + 17 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/185 and -59\/27750.\nAnswer: 27750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**(-2\/11)*r**27)**(-46) assuming r is positive.\nAnswer: r**(-14076\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((3 + 1*sqrt(847) + -5*(sqrt(847) + sqrt(847) + sqrt(847)*3))**2 + 5).\nAnswer: -1463658 + 4752*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-51 - -45) + (-3)\/(9\/(-114)). Suppose -12*x + q*x - 315820 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -388 + 391. Solve -g = 29*d - 32 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(304)*1 + 5.\nAnswer: -4*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11891.96 + -11892. Which is the closest to 0.1? (a) 1 (b) 0.17 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*c + 13013 = -10*c. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -101498 < -101589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) be the third derivative of -185*z**4\/12 + 257*z**3\/3 - 317*z**2. Differentiate w(v) wrt v.\nAnswer: -370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 15) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 201.2325 kilograms in nanograms?\nAnswer: 201232500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1, 13, 47, 115, 229, 401?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - (6 - (-3 - (1 + -6)))) + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l - 3*w + 42 - 82 = -22, -l = -3*w - 12 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 9638648 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -10 + 10 + 5*l**3 + 3*l wrt l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -67 or -65?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 14937738433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 139100 or 138949?\nAnswer: 139100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) be the first derivative of 66*d**2 - 61*d - 50. Is q(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 12530174, 1\/3 in descending order.\nAnswer: 12530174, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1136 + 1134.978. Let f = j - -0.022. Do 4 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 229619 and 0.24.\nAnswer: 55108.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 10 + 920?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4993, 5003, 5009, 5011, 5009, 5003, 4993?\nAnswer: 4979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 12.231 + -12.731. Which is the nearest to 0.2? (a) -130 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -s + 3. Let t be u(0). Solve -4*d = -t*p - 3*d + 10, 2*p = 2*d + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from okxqokqeeqeqoqoeekyq. What is prob of picking 1 k, 1 y, and 1 e?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -65871 + 25871. What is p rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s - 3*q - 15 + 3, -3*q - 12 = 0. Let v be 3\/(-3) - 16\/(-4). Suppose m - 5 = 6*m. Put v, m, -5, s in decreasing order.\nAnswer: v, s, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 5*d - 3*d + d. Let q(k) = 9*k**2 + 7*k + 7. Let v(x) = 4*x**2 + 3*x + 3. Let j(b) = -6*q(b) + 14*v(b). Calculate j(n(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 927060856 to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -3*c**2 + 34*c - 12. Let w be h(11). What is the nearest to 1\/3 in -5, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6344 and 4548.\nAnswer: 7213128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (11 - 18 + 9)*(-126*a + 510*a + 324*a) to the form v*a + x and give v.\nAnswer: 1416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.337 + 2.037. Which is the closest to -1\/3? (a) q (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1791 divide 805603620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 32*l**3 - 28*l**2 - 22. Let t(v) = -127*v**3 + 112*v**2 + 99. Determine 2*t(g) + 9*z(g).\nAnswer: 34*g**3 - 28*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.9 + 4.9. Are s and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*((sqrt(605) - -2*sqrt(605))\/sqrt(11) + sqrt(55) + (sqrt(110)*-2)\/sqrt(2)))\/((sqrt(160)\/sqrt(4)*2)\/(sqrt(72)*-3)).\nAnswer: 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (5\/10)\/((-3)\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -53700, -53755, -53840, -53955, -54100, -54275?\n\"Answer: -15*x**2 - 10*x - 53675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (-2*(2*sqrt(1053) - sqrt(1053))**2 - (-1 + sqrt(1053) + 2)))*-4 + -3.\nAnswer: 36*sqrt(13) + 8409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 1000001101 (base 2) to base 7\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in -45, -0.3, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 7 + 3 - 4*q - 16 + 4. Let j(z) = 9*z + 4. Let p be (4\/10)\/(1\/(-5)). Let d(c) = -2*c**2 - c - 1. Let l be d(p). What is l*t(f) - 3*j(f)?\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24597.\nAnswer: 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = 373 - 233. Find the first derivative of -29 + 24 - 87 + 23 - 127*b - x wrt b.\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3135 divided by -5183.\nAnswer: -3135\/5183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00865 to four dps.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (1\/(-3))\/((-7)\/14)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -33*m**3*o**3 + 23*m**3 + 29*m**2*o**2 - m**2*o - 2*m*o**3 wrt m?\nAnswer: -198*o**3 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -5038746 rounded to the nearest ten thousand?\nAnswer: -5040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p + p + 2. Suppose -p*d = -3*z - 110, 0*d = 3*d - 3*z - 159. Suppose -146 + 594 = 32*l. What is the highest common factor of l and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/9? (a) 0.3 (b) 0 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, l: 4, d: 2, x: 8, o: 4}. What is prob of sequence xe?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 8*m - 4*m - 4*h - 28, -m - 5*h - 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 9601*z + u + 19 = 9598*z, 0 = 5*u + 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 15, 25, 23, 9, -17, -55, -105?\n\"Answer: -6*v**2 + 28*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 4*g = 3720, -3*r + 4*r - 2*g - 928 = 0. Calculate the highest common factor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve k - 4*u + 3*u - 4 = 0, -4*k = -2*u - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*v - 35*v**2 - 21*v**2 - 4*v - 17*v**2 + 109*v**2.\nAnswer: 36*v**2 - 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n - 2*q - q + 12, -3*q = 0. Let j(z) = -3*z**2 + 2*z**2 + 6 - 3*z - n. What is the units digit of j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -134*c**2 - 319*c**2 - 465*c**2.\nAnswer: -918*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = -647 + 1029. Let g = -105 + c. What is the remainder when g is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = -6 + 22. Suppose -66 + 6 = -z*w. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -16 + -8c5?\nAnswer: -90b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k be -4 + 2 - -4 - -4. What is the third derivative of -f**6 - 6*f**2 - f**k - 4*f**6 wrt f?\nAnswer: -720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 8457*r**2*s**2 - 30522*r**2 - 4*s**2 wrt s.\nAnswer: 16914*r**2*s - 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 369 + -367. Let y be (3 - 10\/4)*0. Solve y*q - 8 = -p*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -k - 10. Let c be w(-8). Let n = c + 25. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -17244 - -17243. Let b be (-2)\/11 - (-21)\/55. Which is greater: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) 3682125 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -721 = -47*p + 150*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 80*d. Let y(s) = -7*s**2 - 56 + 112 - 17*s**2 - 56. What is j(y(r))?\nAnswer: -1920*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 74?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 104 divide 77272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/1016 and -49\/10.\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 2, u: 8, c: 2, g: 1, p: 1, r: 1}. Give prob of picking 1 g, 1 p, and 1 c.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -55008, 24 in descending order.\nAnswer: 24, -6, -55008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -4*p**2. Let w(n) = n**2 + 1. Let h(c) = -2*w(c) - z(c). Calculate h(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1071\/18)\/(2\/4). Suppose -124*w = -t*w - 15. Solve 15 = -6*o + w*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -3681, -7355, -11029, -14703, -18377, -22051?\n\"Answer: -3674*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -53131310 (base 6) to base 16\nAnswer: -17ad1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:12 AM and 6:30 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h - 10 + 3*h + 0*h - h. Let v be d(12). Is (6 - 14)*(v - 4) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-138*d**2 - 167*d**2 - d**3 + 57*d**2)*(-1 - d - d + 2) to the form m*d**4 + w*d + o*d**2 + c + k*d**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 56309*0.1\nAnswer: 5630.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14140*r + 14018*r - r**2 + 3*r**2 to the form m*r**2 + l*r + x and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 38, 72, 104, 134, 162?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 406579 divided by 1.\nAnswer: 406579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -d**3 + 5*d**2 + 4. Let w be b(5). Suppose k + 3*k = 20, k = 4*t + 25. Sort t, -1, w in ascending order.\nAnswer: t, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 226*t - 209 - 243 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is ((8058\/306)\/(-79))\/(14\/(-12))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 119677067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.0698240147306 + 3.\nAnswer: 2.9301759852694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**2 + 4*z - 2. Let f(u) = -u**3 + 5*u**2 - 5*u - 1. Let h be f(4). Give x(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sskr when four letters picked without replacement from gugqrssqrqsk.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the second derivative of o**7\/2520 - o**5\/40 + o**4\/12 + o. Let h(d) be the third derivative of w(d). What is h(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q + 1. Suppose 4*m - 2*m = 16. Suppose m = -4*g - 5*f, -2 = -g + f + 5. Let t(i) = i + 2. Calculate g*t(v) - 6*j(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 - -1) + (27 + -2 - (-639 + 645)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -n**2 + 59*n - 779. Determine f(19).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -6.8602 to one dp.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes after 10:19 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = -13\/5 + 31\/10. Let l = 1\/10 - d. Is l <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i such that -5*i**5\/6 + 193*i**4\/3 + 111*i**3\/2 - 811*i**2\/3 - 626*i\/3 + 52 = 0.\nAnswer: -2, -1, 1\/5, 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36108*j + 36111*j + 36088*j - 108310*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((1 - -1) + -1)*(-90)\/(-585)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30226496 is divided by 1590867.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = 157 + -85. Let l = g + -39. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -a**2 + 4 - 8 - 2 - 8 + 10*a. Let t be h(8). Calculate the greatest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = a**3 + 2*a + 1. Let x be s(-1). Find the common denominator of -13\/11 and (x\/12)\/((-4)\/201).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 9985653 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 232816?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 14583 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -6*n - 12*n + 2*n + 7 + 3. Let u(d) = 3*d - 2. Calculate 2*c(a) + 11*u(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 63\/777*-61 + 158\/(-2923).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 3*a + 4. Let i(w) be the first derivative of -w**5\/60 - w**4\/8 + w**3\/3 - 2. Let y(x) be the third derivative of i(x). Calculate -3*r(f) - 4*y(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**3 - 928088*m**2 + 928086*m.\nAnswer: 2*m*(m - 464043)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 219048447.3 rounded to the nearest one hundred thousand?\nAnswer: 219000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -635133 (base 11) to base 6\nAnswer: -33444305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*a + 297 = 315 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zzi when three letters picked without replacement from {s: 7, z: 6, t: 1, f: 1, i: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -2, -14, -28, -44?\n\"Answer: -v**2 - 9*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 13 and 1026315589.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2886 + -5?\nAnswer: -2890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**2 - 95*f + 618. Let n be b(88). Let q = 4.7 - 4. Let w = q - 0.2. What is the nearest to -0.2 in n, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4743 + 4754. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60a77 (base 12) in base 11?\nAnswer: 86698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2234065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaoaooaaaoa.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the second derivative of -7*h**3\/6 + 128*h. Let f(i) = i. Determine f(y(s)).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 224 + 1225*u + 205 + 205 + 138*u + 74 wrt u.\nAnswer: 1363","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -21 + 24 + (-8 - (-3 + 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -695a4d (base 14) in base 7?\nAnswer: -42333626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o and 1 c when three letters picked without replacement from {c: 13, o: 2, n: 5}.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -93\/47828 and -47\/47327980.\nAnswer: 520607780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 201 is divided by 65.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 73447 is divided by 12221?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = 166409\/22 + -7564. What is the second smallest value in 40, 3, o, 0.5, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 77750 and 2044825.\nAnswer: 20448250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 976, 817, 654, 487, 316, 141?\n\"Answer: -2*q**2 - 153*q + 1131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z**2 - 18*z - 703. Let v be o(-19). Solve v = -2*l + t - 3, -t = 2*l - 12 + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((-3 + 0 + 2)*(0*r + 2*r - 4*r) + 0*r - 4*r + r)*(-1 + 2*r**2 + 1)*(0 + 3 + 5) in the form a + m*r + p*r**2 + z*r**3 and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -176, 105, 400, 715, 1056, 1429, 1840, 2295?\n\"Answer: a**3 + a**2 + 271*a - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -4*a**3 - 3*a**2 + 3*a + 7. Let r be c(-2). Suppose -r*x = -10*x + 55. Let p be 1*(x\/(-5))\/1. Solve d - p = -3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = b - 5*b. Suppose b = -4*i - 6 + 18. Find the second derivative of i*c - 3*c - c**4 + c wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 225 and 293175?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 7657991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-2))**38\/(x**(-1)*x**(1\/7)\/x))**(-45) assuming x is positive.\nAnswer: x**(23355\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4270853012 - 4270852993.99999993. Let w = i + -18. Round w to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15198793.\nAnswer: 15198793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.91 + 0.81. Let r = 0.3 + -0.1. Let c = -0.066 - 0.334. What is the smallest value in f, r, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1266181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -0.072*-198343\nAnswer: 14280.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = v. Let o(a) = 2*a + 4. Let h(g) = -5*g - 7. Let r(s) = 4*h(s) + 7*o(s). Calculate r(c(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ddddddxdddx. What is prob of picking 1 x and 2 d?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**2\/9 - 21866*p\/3 - 119530489.\nAnswer: -(p + 32799)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 572 and 97733350?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 36654 - 9676741\/264. What is the common denominator of k and 9\/880?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is j in j**4\/3 - j**3\/3 - 1565*j**2 - 9383*j\/3 - 4690\/3 = 0?\nAnswer: -67, -1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 128*b + 2506 - 845 = -23*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 2 + 9\/(-2) + 2\/2\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 84630694 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) be the first derivative of -z**5\/5 + 50*z**3 - 447*z**2 + 1633. What is the second derivative of p(j) wrt j?\nAnswer: -12*j**2 + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.4 + 24.6. Let b = m + -21. Let i = 2.7 + -3. What is the second smallest value in -3\/8, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.142 - 0.542. Let n = -283 + 287. What is the fourth biggest value in -0.3, -2\/139, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 4*r - 0*r. Let u(v) = 2 - 3 + v + 0*v - 1. Let n(p) = 5*p - 11. What is r*n(x) + 11*u(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1414087 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - r + 5*r - 3*r + (r - 2*r - r)*(-2 + 3 - 2) + r + 3*r + 0*r)*(1 + 1 - 1)*(-55 - 56 + 18)*(-2*r - 4*r + 3*r).\nAnswer: 1953*r**2 - 558*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1840, -1851, -1870, -1897, -1932, -1975, -2026?\nAnswer: -2085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t*t\/((t*(t\/t**(5\/2))\/t)\/t)*t**12*t*t)\/(t*t**(4\/5)*t\/(t*t\/t**(-1\/13))))**(-41) assuming t is positive.\nAnswer: t**(-100081\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = 3 - 13. Let j = b + 1. Let u(m) = 7*m**2. What is u(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 171263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -29831\/14 - -2130. Find the common denominator of 191\/546 and f.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3 - -5. Suppose 2*v + t - 3 = p, -4*v + 4*t = -16. Suppose 4*k - 41 = -5*h, 7*k - 1 = v*h + 3*k. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 127 + -141 + (0 - -10) - (-1 + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10018.\nAnswer: 2, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) be the third derivative of 5*h**6\/24 + 19*h**4\/12 + 37*h**2. What is the second derivative of q(a) wrt a?\nAnswer: 150*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*x + 18*x - 1195*x**2 - 35*x.\nAnswer: -1195*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -5 + 5 - 147\/90 and 11\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (231\/(-6))\/11*(-2)\/(-1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4 + -132a?\nAnswer: -1326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) be the first derivative of -6 - 9*u + 7 + 3*u**3 - 8. Differentiate s(h) wrt h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 142bc - -c7a?\nAnswer: 15269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -158 + (111 - 47) + 58?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**3 + 9*v**2 + 17*v - 3. Let x be z(-6). Suppose -311 = -2*g - 0*g - 5*r, 0 = x*g - 5*r - 404. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*g**2*t**2*w + 9*g**2*t**2 + 12*g**2*t + g*t*w + 2*t*w wrt t.\nAnswer: 10*g**2*w + 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 6 in 9, -4\/7, -53\/7, -1\/3, 1.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the third derivative of t**5\/20 + t**4\/8 - 6*t**3 - 556*t**2. Factor y(c).\nAnswer: 3*(c - 3)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5489\/5 + 1 + 144\/720. What is the highest common factor of 14 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 12325 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*a - t + 5, -4*a - a - 2*t = 17. Let u be (-20)\/12 - 9\/a. Find m such that -u + m**4 + 4\/3*m + 7\/3*m**2 - 10\/3*m**3 = 0.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 8 (b) -2\/15 (c) 4 (d) 1833\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1 - -125) + 27\/9. Let r = b - 74. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -110*w**2 - 13*w + 25. Let d be v(2). Is d less than -441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the second derivative of 0*k**4 + 0*k**5 + 0 - 1\/6*k**3 + 0*k**6 + 2\/21*k**7 + 0*k**2 + 2*k. What is the second derivative of z(r) wrt r?\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-280)\/30 - ((-87)\/(-9) + -8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 592 greater than 593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-8))\/(17\/10472*-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8, -163, -318, -473?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 * 17.5.\nAnswer: -5.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 4*h = 2*z - 23, 4*h + 2 = 2*z. Calculate the greatest common divisor of z and 8295.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.65 + -1.55. Let r = -105\/68 - -8669\/3060. Let b = r - 7\/5. Is b less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f**3 - 1. Let b(w) be the first derivative of w**4 - 13*w**3\/3 - w**2\/2 + 6*w + 4787. Calculate b(g) + 6*k(g).\nAnswer: -2*g**3 - 13*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2130)\/568*8\/(-10). Put 1, s, 0, -45 in descending order.\nAnswer: s, 1, 0, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 1445*d. Let b(z) = -z**2 + 208*z + 13. Let r(y) = -32*y - 2. Let h(i) = -2*b(i) - 13*r(i). Calculate g(h(f)).\nAnswer: 2890*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 21*q + 22*q - 516. What is the remainder when 15 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 408476 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 547 minutes before 12:09 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -10 + 9.96. Which is the third biggest value? (a) -3\/4 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1.076 and -6933245?\nAnswer: 6933246.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 298920 and 477?\nAnswer: 896760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2253 + -1737. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 1, i: 1, v: 11, e: 5, t: 1, d: 1}. Give prob of picking 3 v and 1 t.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/15 - 12\/(-18). Factor 0 - 2\/5*j**4 - o*j**2 + 0*j + 6\/5*j**3.\nAnswer: -2*j**2*(j - 2)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 163 = 3*s - 57, 0 = -4*s + 3*l + 310. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 117\/140 and 115\/12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -144 - -324. Does 36 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1955 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: Which is greater: 203\/697 or -1?\nAnswer: 203\/697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 149 or 140?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -5, 1\/5, 7\/2, -4 in ascending order.\nAnswer: -5, -4, -0.3, 1\/5, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 16, 70, 166, 304?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(130) + (sqrt(130) - (-1*sqrt(130) + sqrt(130))*-4))\/(sqrt(10) - (sqrt(10) + (sqrt(110)*-4)\/sqrt(11))))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*l**5\/7 + 24*l**4\/7 + 60*l**3\/7.\nAnswer: -3*l**3*(l - 10)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 179144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = 16043 + -16040. Suppose 0*g + 8 = 2*g. Solve 3*i = g*i - v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16\/15 of a decade in months?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -3*y + y**3 - 1 - y**2 - 2*y**2 - y. List the prime factors of a(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -48629, -94285, -139941?\nAnswer: -185597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45*m**2 - 25*m**2 - 25*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3\/5 + (-119)\/(-85). Let v(g) be the first derivative of 1\/3*g**3 - 2 - 3\/2*g**u + g. Determine v(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -2*q**2 - 4*q. Let v(d) be the second derivative of -d**4\/12 - d**3\/3 + 3*d. Let o(z) = -7*v(z) + 4*y(z). Find the second derivative of o(n) wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 12, n: 3}. What is prob of sequence xnn?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/(-5))\/((-196)\/1960)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 573 + -568. Suppose -16*l = n - 15*l - 390, 398 = n + q*l. What are the prime factors of n?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 66794 by 7.\nAnswer: 9542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/(-24))\/((-16)\/64)*-3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 4*l - 1015 = 77, -3*t + 3*l + 1635 = 0. Let a = t - 267. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -18*z - 6 - 11 + 2 + 252*z**4 + 355*z**3 + 5*z**2 - 1 - 251*z**4 wrt z?\nAnswer: 12*z**2 + 2130*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -128426*z**2 + 110206*z.\nAnswer: -256852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -106 + -11423411?\nAnswer: -11423520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.027 and -0.18.\nAnswer: 0.00486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be 9\/6*8\/6. Suppose 5*j - 2*d - 128 = 0, 4*d = -s*j + 2*d + 54. Let v = -17 + j. Calculate the highest common divisor of v and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 263873540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3463\/6 + 577. Let g be 5\/6 - 2\/6. What is the third smallest value in g, s, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/3)\/(3\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1953164\/93 + 21002. Calculate the common denominator of 18\/775 and v.\nAnswer: 2325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -21 + 21.14. Let y = -0.16 - k. Let n = -43\/150 - -3\/25. Which is the nearest to -0.3? (a) y (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.2 - 0.3. Let i = 2.5 + r. Let f = 2 + i. What is the biggest value in -3\/4, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -10471 - -9784. Which is smaller: g or -3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(35)\/((sqrt(315)\/sqrt(5))\/sqrt(9)) + (sqrt(45) + sqrt(45) + sqrt(45) + -2)*2 + -1)**2.\nAnswer: -190*sqrt(5) + 1830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 - (21 + -3 + -2 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3562229 to the power of 1\/2, to the nearest integer?\nAnswer: 1887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 760996.6km?\nAnswer: 760996600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7 + -12. Let q = -26 - -24. Put w, q, 0 in decreasing order.\nAnswer: 0, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 491\/48417 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -57*f + 6. Let h be (10 + -165)*2\/(-5). Let z = h - 66. What is the units digit of w(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19494 is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l**3 + 4*l - 4*l)*(-3*l - l - 2*l) - 5*l**4 - 116*l**2 - 48*l**2 + 109*l**2.\nAnswer: l**4 - 55*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 3006 divide 4247478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -2\/11, 211 in decreasing order.\nAnswer: 211, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -75134, -150270, -225406, -300542?\nAnswer: -375678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/6840 and -41\/152?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 24902 + -17590. What are the prime factors of v?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-3 - 0)*(-3)\/(15\/2015).\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 83917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 1 - 2*s**5 + (289*s**2 - 285*s**2 - 5*s**4 - s**4)*(s + 6*s - 5*s).\nAnswer: -14*s**5 + 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 12, 5667785 in decreasing order.\nAnswer: 5667785, 12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 76691 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 53401 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (1*-29 - 75008\/(-3516))*-9\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 126*j**2. Let l(d) be the second derivative of 3 + 5*d + 0*d**2 + 1\/6*d**3. What is l(n(k))?\nAnswer: 126*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is ee86 (base 16) in base 14?\nAnswer: 18378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply 917 and 0.1.\nAnswer: 91.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 224, -2, -4 in descending order.\nAnswer: 224, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -495, -491, -483, -471, -455?\n\"Answer: 2*u**2 - 2*u - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 224.46 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6431093.\nAnswer: 6431093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1559521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 7, 0.14 in decreasing order.\nAnswer: 7, 0.14, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/5, 2\/19, 3, 0.\nAnswer: -4\/5, 0, 2\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 426.1521 nanometers in centimeters?\nAnswer: 0.00004261521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the second derivative of h**5\/20 + 19*h**4\/12 - 4*h**3 - 35*h**2\/2 + 114*h. What is the units digit of p(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -149\/756 and -95\/54108.\nAnswer: 378756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 4459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6\/17 in -0.39, 13, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 210\/13, 3492 in descending order.\nAnswer: 3492, 210\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7270, -14540, -21810?\nAnswer: -29080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 1, y: 1, n: 1, g: 2, c: 1, u: 1}. Give prob of picking 1 g, 1 u, 1 c, and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23 - 5*b + 26*b - 12*b - 12*b.\nAnswer: -3*b - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) be the second derivative of 149*m**4\/12 + 3*m. Is z(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -315048 and 60.\nAnswer: -18902880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2322354511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 0.065205*26\nAnswer: 1.69533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = 3*n - 15, -3*n + c = -c - 6. Let u be 2 + n + (-4 - 0). Suppose 0 = j, a - 3*j = u*j + 36. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -21 - -49. Let x be 58\/f + 9\/(-6). Let i = -1.6 - -1.1. What is the nearest to -1 in 2, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 86208 is divided by 1120.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 693 minutes before 8:44 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -55, -232, -529, -946?\nAnswer: -1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from swwwaugwaauawwww. Give prob of picking 1 s, 1 a, and 2 w.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 65*g - 185. Let h(t) = -t + 1. Let c(i) = -110*h(i) - 2*n(i). Let r be c(13). Solve d = 4*s - 23 - 2, 3*s + 3*d = r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence np when two letters picked without replacement from nnnnnnnnnnnxunxpn?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(4\/15)*y*y*y**6 assuming y is positive.\nAnswer: y**(124\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 12 - 5 = i, 15 = -3*d. Suppose s = i*s - 2. Solve -5*w - s = 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h - 176 = -273*k + 136*k + 133*k, 6*k + 4*h - 174 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 7 - 91 = 0. Let t = m - -15. Let a(k) = -4*k**3 - 3*k. Let g(i) = -i**3 - i. What is t*g(w) + 2*a(w)?\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -398*r - 32 = -415*r + 1039. Calculate the highest common factor of 672 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*((sqrt(396) - (-1 + sqrt(396) + sqrt(396))) + -4 + sqrt(396))*-5 - (sqrt(44) + sqrt(440)\/sqrt(490) + -5 + sqrt(1100)))**2.\nAnswer: -16340*sqrt(11)\/7 + 523581\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -1110 (base 3) to base 12\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 15 = -4*y + 3*y, 0 = -4*q + y - 25. What is the second biggest value in -13, q, 14?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3*(-5)\/15*(-2 - -1). Let r be p\/((1\/(-2))\/(6 + -5)). Let n be (3 + (-12)\/10 + -1)\/r. Sort -3\/4, n, -1\/20 in increasing order.\nAnswer: -3\/4, n, -1\/20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0023840764 rounded to five decimal places?\nAnswer: -0.00238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 38863 - 38524.87. Let h = 331 - w. Let t = h + 0.13. Put t, -1\/6, -0.4 in decreasing order.\nAnswer: -1\/6, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 197 and 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7*(-144)\/12 - -45.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4891 is divided by 4885?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**3 - 3007680*f**2 + 12030684*f - 12030672.\nAnswer: 3*(f - 1002556)*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*w**2 - 46244225*w - 601174080.\nAnswer: -5*(w + 13)*(w + 9248832)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -193*r - 112*r = 3660 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(2\/17))**(-3\/7)\/(l**(-3\/7)*l**(-5\/7)))**(-31) assuming l is positive.\nAnswer: l**(-4030\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m, 1 l, 1 j, and 1 c when four letters picked without replacement from {l: 1, j: 4, m: 1, c: 1, b: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3307.44 - -3374. Let t = -66 + y. Round t to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7303 - 5637. List the prime factors of t.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -6, -44, -142, -330, -638?\n\"Answer: -5*c**3 - 3*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1067 - 632. What are the prime factors of w?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express k - 18*k**2 - 23*k**2 + 38*k**2 + 2*k**3 in the form v + d*k**2 + c*k + g*k**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16090*a**2 - 190989 + 190989.\nAnswer: -16090*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 6673 = 4*u, -4*u - u = 2*l - 2659. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1219178690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 26260 and 202.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000006841 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 8.3, -0.2, 0.8, -46\/13.\nAnswer: -46\/13, -1, -0.2, 0.8, 8.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = p**3 + p**2 - 7*p - 10. Let x be q(-4). Let g be ((-1)\/21)\/(5\/x). Find i, given that 0*i - g*i**2 + 0 - 2\/7*i**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -502063910 divided by 251031955\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46263 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 0 + 18 = u, 0 = -4*s + 5*u + 22. Suppose 5*q + 315 = s*q. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-166)\/(-664))\/(((-9)\/(-12))\/1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**2 - 3*x - 1. Calculate z(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 178.385285 to 1 dp.\nAnswer: 178.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1170*b**2 + 1157*b**2 - 2319*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 10563 + 0?\nAnswer: 10563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -131.32 less than -1\/34012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 1, r: 4, j: 3, p: 2}. What is prob of picking 2 p and 2 j?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -4*b - 9. Let m(p) = -5*p - 10. Let i(k) = -6*f(k) + 5*m(k). Let n be i(-6). Factor -r - 9*r**3 + r**2 + 2*r - 3*r**4 - n*r**2 - 4*r.\nAnswer: -3*r*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15 - (15 - -17) - 62?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 867599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47175551.\nAnswer: 107, 440893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5465367 - 8715367. Round x to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is q in 2*q**5 - 370*q**4 - 12696*q**3 - 147008*q**2 - 713216*q - 1216512 = 0?\nAnswer: -11, -8, -4, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 29\/4821915 and -59\/105.\nAnswer: 4821915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 3*w**2 + 5*w - 10. Let h(v) = 6*v - 229. Let b be h(39). Let c(a) = -a**2 - a + 1. Determine b*c(n) + r(n).\nAnswer: -2*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11475756 is divided by 45?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 190439723 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a**3 + 23*a**2 - a + 23. Let s be t(23). Solve s = -2*c + q + 9, -4*c + 0*q = -3*q - 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10164 and 506475508.\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g**3 + 3*g. Let m(h) = h**3 - h**2 - 2*h + 1. What is 3*m(s) + 2*n(s)?\nAnswer: s**3 - 3*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -c - 569 + 171*c**2 + 569 to the form f*c + s + n*c**2 and give n.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/48*-6*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z + 10*r - 7 = 14*r, -2*z - 4 = 3*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 21780*k - 3520. Let v be t(-15). Round v to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*n**3*p - 571*n**3 - 71*n**2*p**3 wrt p.\nAnswer: 2*n**3 - 213*n**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 6*n**2 + 69*n + 295. What is the remainder when 1249 is divided by u(-7)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1 + -1403?\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d*d*d**(-1\/3)\/d*d))\/(d*d\/d**(8\/3)*d)*d\/d**(-1)*d**3)**(3\/32) assuming d is positive.\nAnswer: d**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, e: 6}. Give prob of picking 1 e and 1 f.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -466*f**2 + 6*f - 5. Give j(1).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) be the second derivative of g**4\/12 - 4*g**3\/3 + 6*g**2 + 41*g. Let f be z(5). Is 32 a factor of -3 + 2 + 1 - (-227 - f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 374, 750, 1128, 1508, 1890?\n\"Answer: x**2 + 373*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the third derivative of b**5\/4 + 5*b**4\/24 - 118*b**2 - 1. Let y(o) = 7*o**2 + 2*o. Calculate 2*s(g) - 5*y(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -174.6 minus -3.64?\nAnswer: -170.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 574*z + 2387*z + 3048*z + 3071*z.\nAnswer: 9080*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 316 (base 10) to base 7.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1.65511789125 - -0.3\nAnswer: 1.95511789125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**3\/7 + 18*b**2\/7 + 48*b\/7 + 32\/7.\nAnswer: 2*(b + 1)*(b + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -68 = 21*a + 58 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -41 (base 10) to base 16.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n**2 + 6*n - 2528. Let k(g) = -9*g**2 + 50*g - 20208. Give 2*k(b) - 17*o(b).\nAnswer: -b**2 - 2*b + 2560","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 - 20 = 3*b. Let z be (b - 279\/(-21))*7. Calculate the highest common divisor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -29*k - 22. Let c(n) = 15*n + 10. Let t(b) = -13*c(b) - 6*w(b). Let z(l) = -3*l**2. Determine z(t(q)).\nAnswer: -1323*q**2 + 252*q - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -13 + 203445110?\nAnswer: 203445064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 0 - 1)*(17*h + h - 2*h) in the form i + x*h and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 5733356130 rounded to the nearest one hundred thousand?\nAnswer: 5733400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 27079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = 69 + -57. Solve -h + c = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -6*s - 15. Calculate the remainder when 40 is divided by m(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 17120 and 640.\nAnswer: 68480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 600693 and 1257?\nAnswer: 251690367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = 481 + 3610. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000100944 to six decimal places.\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - s - 4*s + 85 = 0, 3*s = u - 109. Suppose -348 = -4*k - 2*c + u, -3*c - 105 = -k. List the prime factors of k.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1083 and 25302.\nAnswer: 9134022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -94, -87, -76, -61, -42, -19, 8?\n\"Answer: 2*k**2 + k - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the third derivative of 1\/35*l**7 + 0 + 0*l**3 + 0*l + 6*l**2 + 0*l**6 - 1\/5*l**5 + 0*l**4. Find the third derivative of p(h) wrt h.\nAnswer: 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-9)\/(-2))\/((-3)\/4). Let y = -622.17 + 625.17. Sort -0.5, z, y, -1 in increasing order.\nAnswer: z, -1, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -7614 by 94.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17170164.\nAnswer: 2, 3, 11, 97, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.1 - 0.1. Let j(o) = -o**3 - 11*o**2 - 17*o - 15. Let i be j(-6). Let f = -467\/5 - i. What is the nearest to f in x, 0.5, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-311 - 3)\/(2 - 32\/12) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27.16499 micrometers in meters?\nAnswer: 0.00002716499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -7 - 15?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 161540110.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-four fifths of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g**2\/6 - 4308320*g\/3 - 1856162122240\/3 = 0. Calculate g.\nAnswer: -861664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let -3*v**2\/2 - 138*v - 3174 = 0. Calculate v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*d + d - 47*d.\nAnswer: -41*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5.197 - -5.3. Let q = -0.102816 + c. Round q to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 70 divide 2158940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x be 55\/4 - 5130\/1368. Solve -6*w + x*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = a**3 - 29*a**2 + 125*a - 117. Let r be n(24). Solve 27 - 30 = -r*m + 4*f, 0 = 5*m - 5*f - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -149*v - 141*v + 37*v = -46*v - 11592 for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 271845234?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 44 and 208?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.023 + -298.977. Let x = -294 - l. Which is the closest to 1\/2? (a) -0.5 (b) x (c) 0 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1389431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve c**3\/6 - c**2\/6 - 7*c\/3 + 4 = 0 for c.\nAnswer: -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -16133 (base 7) in base 6?\nAnswer: -32552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -2*r**2. Let i(v) be the first derivative of 5\/2*v**2 - 26 + 0*v. Determine i(y(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 0 + 6*j**2 - 30831*j + 15433*j + 15398*j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -19*r + 11*r**3 - 24*r**3 - 5*r + 21*r**3 + 1 + 3*r**2 to m*r**2 + k*r + v + p*r**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1\/20)\/((-1)\/2303). Let u = 743\/4 + f. Let v = -71 + u. What is the third biggest value in v, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -o + 11. What is the remainder when o is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*f**2 + 185*f**3 + 1606*f**3 + f**2 - 475*f**3 + 413*f**3 to the form d*f**3 + a + g*f**2 + q*f and give d.\nAnswer: 1729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the second derivative of 0 + 405\/2*l**2 - 29*l - 15*l**3 + 5\/12*l**4. Factor j(t).\nAnswer: 5*(t - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*q = -171 + 36. Solve -x = 5*u + 8, -8 = 2*u + q*x - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y**(-9)\/y)\/y)\/y**(6\/11))\/(y*y*y\/(y**2\/y)*y)**(-50) assuming y is positive.\nAnswer: y**(1523\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 26\/5 of a decade?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 159 (b) 11 (c) -1\/2 (d) 8 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -29 + 35.7. Let g = -7 + q. Which is the closest to 0? (a) 2\/5 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 306*d + 87 = 309*d. What is the remainder when 50 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 144, 145, 146, 147?\n\"Answer: g + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -149 or 0?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 640 - 10803 = 162*n - 1577 for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -41 - -24. Let b = -17.001709 + 0.006909. Let n = d - b. Round n to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.19 + 14.81. Let n = v - 18. Let j = 0.53 - 0.03. Sort 3, n, j in decreasing order.\nAnswer: 3, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-12)\/21*4 - -2. Let w = 43.7 - 42.7. Let d = 26.3 - 23.3. Put d, w, u in ascending order.\nAnswer: u, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7 - 3. Sort 0.04, q, 5 in descending order.\nAnswer: 5, q, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4108, 4132, 4176, 4240?\nAnswer: 4324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -456 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 324*a - 326*a + 196. What is the hundreds digit of (38 + -23)*(-1 - a\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 166 divide 107010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c + 16 + 14 = 0. Let w(l) = -3*l + 5. Let u(g) = -1. Let t(x) = -u(x) - w(x). Let j(b) = 4*b - 6. Let r = 0 + -7. What is c*j(f) + r*t(f)?\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -27*b + 12. Calculate t(2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h = 2*h. Let v(k) = -4*k**3 - 1. Let r(q) = q**2 + 2*q - 14. Let f be r(-5). Let c be v(f). Put 5, c, h in ascending order.\nAnswer: c, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12653814 and 57771?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 13*b**2. Let i(w) = -4 + 26 - 22 - w. Calculate t(i(a)).\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g + 1. Let z be 3 - ((-1)\/1 + 0). Let s(h) = -4 - 5*h + 8*h - 3*h**2 + z*h. Let n(o) = -4*d(o) - s(o). Find the second derivative of n(b) wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 7016, 13925, 20834, 27743?\n\"Answer: 6909*o + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*i + 4*i - 880 - 623 - 2*i.\nAnswer: 8*i - 1503","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 436*w**2 + w + 1. Let k(p) = -2*p - 17. Let t be k(-8). Let o be h(t). Is o\/3 - (-7)\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = a**3 + 303*a**2 - 535*a + 22878. Determine s(-305).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) be the third derivative of -z**6\/840 - z**5\/280 - 25*z**3\/3 + 26*z**2. Let h(q) be the first derivative of c(q). Determine b so that h(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = -r + 2*k, -3 = r - 3*k - 34. Let s = r - 4. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50*i + 13*i**2 - 542522531 + 542522531.\nAnswer: 13*i**2 + 50*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 818, 826, 846, 884, 946, 1038, 1166?\n\"Answer: d**3 + d + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.277809 and -0.16.\nAnswer: -0.04444944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/21 + (-288)\/(-21). Let i = r + -6. Calculate the greatest common factor of 72 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/72*9 - (-234)\/(-1616). Let q = d + -572\/1717. What is the biggest value in q, -2\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 180616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/m**(-1\/4))**(11\/6)*m**(1\/7)\/((m*(m*m**(8\/7))\/m)\/m) assuming m is positive.\nAnswer: m**(31\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.1 + 1. Let i be ((-2)\/(-35))\/((-3)\/(-5)). Is m greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 97\/24 and -179\/6840.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wqdqwdww. Give prob of picking 1 w and 1 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(68) + 4)*-1 + -3 - (-2 + 5*(0 + sqrt(1377))**2*6).\nAnswer: -41335 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (310\/(-31))\/(4\/1)*16\/(-180)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1824263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-90)\/45*2\/6)\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 5 = 3*g + 2*g, c = 4*g + 4. Suppose 2*n + k = 2 + 9, c = -3*n + 5*k - 16. Suppose 2*x - 4*u = -2*x + 12, n*u - 21 = -2*x. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 224853 is divided by 265.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(72)*2*2*-5.\nAnswer: 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 57 - -29. Calculate the remainder when r is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -5*k**3 + 2*k**2 - 4*k + 3. Suppose 29*p - 46*p - 5 = 46. Let l(x) = 4*x**3 - 2*x**2 + 3*x - 2. Calculate p*d(b) - 4*l(b).\nAnswer: -b**3 + 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: What is 1139284.4 rounded to the nearest 10000?\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a**2 - 5*a + 3. Let y be z(0). Suppose 3*b - j + 6*j - 29 = 0, 2*b = y*j - 6. Solve -16 = -w + 3*c, b*w + c - 4 = -c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**2 - 43*o - 387. Determine d(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -170*j**4 + 756525*j**3 - 1121748180*j**2 + 553504011760*j + 1029466589760 = 0.\nAnswer: -63\/34, 1484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:42 PM and 4:38 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {t: 2, m: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -w + 5*v + 0 + 14 = 0, -4 = -0*v + 2*v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 45, -8888, -2\/73, -2, 2?\nAnswer: -8888","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 5*2*sqrt(7).\nAnswer: -5 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 2136068, 2136063, 2136058, 2136053, 2136048?\n\"Answer: -5*p + 2136073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**3 - 16*k**2 - 7*k - 1. Does 2 divide u(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*l + 4 = -36 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 4*d**2 + 10*d - 3. Let t = 25 - 34. What is the remainder when u(t) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 1541024 and -0.009.\nAnswer: -13869.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-73)\/(1095\/210))\/((-14)\/52).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1551034430 a multiple of 2145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 345592.9ms in microseconds?\nAnswer: 345592900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((57\/48)\/(-19))\/(((-28)\/(-40))\/(-7))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 11*g**2 + 10*g. Let c(d) = 10*d**2 + 9*d. Let v = 14 + -19. Let h(l) = v*c(l) + 4*a(l). Find the second derivative of h(j) wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 3*t + 46 + 11 = 0, -3*t + 39 = 3*m. Suppose -5*u + 5*o = -30, 2*u - 4*o - 2 = m. Solve u*i - 6 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.7 + -0.975. What is n rounded to two decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7673, 15347, 23021?\nAnswer: 30695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 99 = 3*v - 6. Suppose 4*l - v = -11. Calculate the remainder when 10 is divided by l\/((-2)\/(8\/(-6))).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 2\/7, 5, -0.13, -4\/7, 2.801, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -512*n**2 - 7*n + 24. Let q(l) = -1537*l**2 - 19*l + 65. Calculate 8*f(k) - 3*q(k).\nAnswer: 515*k**2 + k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -43222 - 2?\nAnswer: -43224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w + 3*n - 13 = 0, -67*n = -2*w - 63*n + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 5 = -1. Let r be q\/4 - 21\/(-6). Solve -6 - r = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the first derivative of -4\/3*f**3 + 0*f - 3\/2*f**2 + 11. Let w(y) = -15*y**2 - 11*y. Determine -22*p(v) + 6*w(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -98359*w**2 + 196715*w**2 - 33*w**3 - 98356*w**2 - 106*w**3.\nAnswer: -139*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5939 is divided by 1147?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -1497*q + 1495*q + 25 = 2*i + 5*i - 2*i, 4*i = -q + 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v - 5*s = 15, 0*v - 5*s + 9 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4130 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 3*g**2 + 14*g + 21. Let h be a(-3). Solve -2*t + 2 = 4*u, -u = -h*u + 3*t + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 3*h - 20. Let m = -2 + h. Suppose -2*y + 0*y - 28 = -2*n, m*n - 72 = -3*y. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the third derivative of 0 + 0*c - 3\/112*c**8 + c**2 + 0*c**7 + 0*c**5 + 0*c**3 + 0*c**6 + 11\/24*c**4. What is the second derivative of l(w) wrt w?\nAnswer: -180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21 - 0 - (-2 - (-4 - 18 - -11)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6 + 8 - 1115*t**2 - 2377*t**2 - 6670*t - 6 + 6676*t wrt t?\nAnswer: -6984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 713815.7 millennia in years?\nAnswer: 713815700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - -31 - 13) + (-22 + -16 - -16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that y**3\/10 - 33689*y**2\/10 + 56744067*y\/2 + 56750805\/2 = 0.\nAnswer: -1, 16845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(504) - sqrt(504))*-3)\/((5*-2*sqrt(88))\/sqrt(11)).\nAnswer: 9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.729 + 1.63. Let j = -0.08895 - q. What is j rounded to four decimal places?\nAnswer: 0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 217922.67 milliseconds?\nAnswer: 0.002522253125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/((-1)\/2))\/((-12)\/(-144)*-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = m**3 + m**2 + 2*m. Let n(w) = w**2 + 5*w + 1. Let b be n(-5). Suppose -k + b - 3 = 0. What is j(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 362642068.\nAnswer: 2, 4271, 21227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (v - v - v)*(446 + 251 - 550)*(-1 + 0 + 2)*(-19 + 7 + 21) as p*v + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 3461 + 1.2\nAnswer: 3462.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 62.03698 micrometers to millimeters.\nAnswer: 0.06203698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 2, 0, 299 in increasing order.\nAnswer: -2, 0, 2, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0 - 0. Let x = 616385 - 616384. Solve -x + r = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1984*d**5 + 66*d**3 + 3*d**2*v + 2041*d*v - 3*d - 9*v + 5 wrt d.\nAnswer: 39680*d**3 + 396*d + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 - -2. Let y(b) be the second derivative of b**3\/6 - 7*b**2\/2 + 11*b. Let l be y(11). Is d equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 9664 + -9660. Solve 2*l + 6 = 2*i, 7*i - d*i - 10 = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.5 and -267?\nAnswer: 400.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2592)*1)**2 + -3 + -1 + (sqrt(450) - (0 + sqrt(450))).\nAnswer: 2588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 37 - 55. What is the remainder when (-1 - 0)*-1 + 22 is divided by 142\/12 + (-3)\/m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -6*r**2 + 2. Let p(q) = -8*q**2. Give h(p(i)).\nAnswer: -384*i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j**2 + j - 6. Let i be x(0). Let f be i\/9 - 3\/9. Which is the closest to f? (a) 1 (b) -5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((a + a - 3*a)*(0*a - a + 0*a) - 2*a**2 + 4*a**2 + 0*a**2 + 0*a**2 + 0*a**2 + 2*a**2)*(-4*a - a - 4*a) in the form v*a**2 + n*a**3 + m + o*a and give n.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1715 - -1?\nAnswer: -1714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -44 + 17. Let y = -11 - n. Let u = y + -15.5. Sort -0.12, 0.2, u in ascending order.\nAnswer: -0.12, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-11\/5)\/t*t*t*t**(-3\/4)\/t*t\/(t*t*t**6)*t**(2\/17) assuming t is positive.\nAnswer: t**(-3343\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u**(-7)*u*u)\/u**(-2))**(4\/5)*((u*u*u\/u**2)\/((u\/u**9)\/u*u*u))**(-3\/8) assuming u is positive.\nAnswer: u**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be 4\/(-40)*-32 - (-2)\/(-10). Which is the second biggest value? (a) k (b) -1\/10 (c) -1\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -71 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 - 71*s + 6.\nAnswer: -71*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 6654 divide 713960892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/14)\/(2\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2356\/15 - 157. Let a = 3\/5 + v. Let p = -194 - -1356\/7. Which is smaller: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ezzezzzzzzzz. What is prob of sequence zez?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-42)\/(7\/(147\/(-7))). What is the highest common factor of 98 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -13 + 14 + 1 + -8. Let w(p) = -12*p - 10. Let j(n) = 11*n + 11. Let t(f) = -3*j(f) - 2*w(f). List the prime factors of t(b).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 88466.9 nanometers?\nAnswer: 0.0000000884669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**3 + 21*k**2 + 19*k + 186. Give r(-20).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 49\/1200 and 139\/468900?\nAnswer: 1875600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -62 (base 10) in base 15?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -44*r = -43*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k**3 + 8*k**2 + 7*k - 14. Let n be l(5). Let t = 58 + n. Calculate the remainder when t is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v = 130*v - 4455 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*j = -1011 - 978. What is the highest common divisor of 85 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.86 minus 5.257?\nAnswer: -6.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 4*i**2 - 4*i - 3. Let g(x) = x**4 - 7*x**2 + 7*x + 5. Let v(m) = 4*g(m) + 7*j(m). What is the derivative of v(t) wrt t?\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.0465 and -444736262.\nAnswer: -444736261.9535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2583 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 105 + -75. Let t be (28\/6)\/((-2)\/(-3)). Suppose t*z = 5*z + p. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -242, -483, -742, -1025, -1338, -1687, -2078, -2517?\nAnswer: -3010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o**2 + 4*o + 2. Let z be r(-5). Is 24\/56 - (-14690)\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -6352729.3+0.2\nAnswer: -6352729.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j**2 - 35*j. Let d(v) = -3*v**2 - 48*v. Let g(t) be the first derivative of t**3\/3 + 10*t**2 + 59. Let p(k) = 5*d(k) + 12*g(k). What is p(l(c))?\nAnswer: -3*c**4 - 210*c**3 - 3675*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 10331220 + 2202?\nAnswer: 11000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = 29.155 - 29.165. Which is the closest to 3\/5? (a) g (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -d - 298 + 291 = a, -2*a - 2*d - 2*d = 22 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let 27436*w**5 - 31768*w**4 - 50312*w**3 + 8432*w**2 - 452*w + 8 = 0. What is w?\nAnswer: -1, 1\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 - 23 + 244)*(-7 + 2 + 3)*(2*b + b - b).\nAnswer: -856*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-120)\/(-18) - 6)*426\/(-4). Let h = -363\/5 - r. Calculate the common denominator of h and -57\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the first derivative of -21*s**4\/4 - 16*s**3 + 78*s**2 + 48*s - 10. Let c(r) = 0. Calculate r.\nAnswer: -4, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -1. Let p(h) = h - 5. Let a(g) = -3*p(g) + 15*v(g). Let j(c) = 12*c - 4*c + 10*c - 3*c. What is j(a(l))?\nAnswer: -45*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 317 + -205. Let j = w + -38. Suppose 3*v + 2*v = -4*g + j, -g = 2*v - 32. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.23636 plus -295?\nAnswer: -295.23636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -13 + -38 + (-16 - -27 - -9)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are 84592552 and 84592552 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 526 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*sqrt(176)\/(sqrt(4) + (sqrt(4) - 5*sqrt(64))) + -4.\nAnswer: -4 - 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -17 = 5*j + 39*k - 36*k - 114, -88 = -4*j + 8*k for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(156) + -3*(3*sqrt(156) + sqrt(156) - sqrt(156) - sqrt(156)) + sqrt(156))\/(-3*sqrt(1200)).\nAnswer: 2*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 2*z**2 + 4)*(108*z - 59*z - 74*z) + 91 + 67*z**3 - 91.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2.81 or 3\/8?\nAnswer: -2.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 5600 - 24684 = 734*r for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q - 3*h = q - 1638, -5*q - 4*h = -8256. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 27545 (base 9) to base 12\nAnswer: a97b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 369 and 23083?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7425?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*r - 13*r + 5*v + 16235, v = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + 1 - (2 - -3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(2\/(-2)))\/(((-99)\/54)\/(-11))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - (-1)\/3)\/((-231)\/(365211\/(-62))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = z + 3*z - 16. Suppose 3*c - z*l + 7*l = 21, 4*c = -l + 16. Solve 0 = v + 5*m - 18, -v - c*v + 18 = 2*m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (23\/(-46))\/((0 - 2)\/(-2)). Which is greater: 8\/761 or m?\nAnswer: 8\/761","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -19 + 1129. Does 37 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) be the second derivative of -13*k**6\/30 + k**4\/4 + 2*k. Find the third derivative of v(h) wrt h.\nAnswer: -312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3066255.\nAnswer: 3, 5, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4.9 - -10.9. What is the closest to 0.1 in y, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 + (3 - -2) - -5) + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 25\/22 and -3\/3406546.\nAnswer: 3406546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 4*i = o - 2933, -4*o - 3902 = i. Let b = o - -1919. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 2*q + 7 = 0, -3*q = -2*n + q + 10. What is the fourth biggest value in -4, 20\/19, 0.5, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes before 6:14 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -54.6 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is w in -5*w**3\/2 - 5*w**2 + 65*w\/2 - 25 = 0?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**3 - 2*f**2 + f - 2. Suppose 0 = 3*m - 5*m + 8. Suppose -3*n + 4*j = -22, m*j = -3*n + 5*n - 20. Give c(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -9 (base 16) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 3424, 13677, 30770, 54703, 85476?\n\"Answer: 3420*x**2 - 7*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1355\/2963 or 1?\nAnswer: -1355\/2963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o + 7*m + 6 = 9*m - 5*m, -743*m - 151*m - 426*m = 2640 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13638.\nAnswer: 2, 3, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*y**2 + 5*y**2 + 0*y**2 + (-3*y + y + 4*y)*(2*y - 3*y + 4*y) + 23*y**2 - 775629 + 775650 - 2*y + 2*y to the form c + p*y**2 + q*y and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1439195 and 1460?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 18 - 16. Which is the nearest to 0? (a) -4 (b) u (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve s + 21 = -4*g, g - 94 = -3*s - 102 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -2*g**3 + g**2 - g - 2. Let h be a(-1). Solve -v + 2*v + 1 = h*t, -4*t + 1 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 24725181.843 to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-2))\/3*-12*12*(-3)\/(-162).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 284 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 57037876*a**2*g + 5*a*g + a - 8469596 wrt a?\nAnswer: 114075752*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9560562?\nAnswer: 2, 3, 11, 17, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 163 + 32 + -160 + 2 + 0?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.13? (a) -2\/5 (b) 0 (c) 2287 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u**3 + 7*u**2 + 7. Let b(h) = 8*h + 1. Let v be b(-2). Let k = 20 + v. Suppose -k*g + 41 = -3*x, 2*g - 11 = -g - 5*x. What is i(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 405 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 302500.0226 rounded to the nearest 1000?\nAnswer: 303000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 369 less than or equal to 359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2.79 + 2.9. Let q = l + -1.11. What is the closest to q in -5, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hho when three letters picked without replacement from hhhhohoh.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(60)\/(sqrt(9)\/sqrt(3)))\/(sqrt(36)\/(sqrt(45)\/sqrt(5) + sqrt(9))))**2*-4.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j + 5*j - 3*j)*(-2 - 6 + 1)*(j - 4*j + 2*j) - 4*j**2 + 2*j**2 + 10*j**2.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 182516.1 rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -113\/2870 and 133\/3690?\nAnswer: 25830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 84360 + 0*q + 0*q - 84070 - 127*q**4 with respect to q.\nAnswer: -508*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 516.8089ug to kilograms.\nAnswer: 0.0000005168089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 40835527 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 6931 and 8604?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let 2*n**2\/19 - 72994*n\/19 = 0. What is n?\nAnswer: 0, 36497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the second derivative of 26*l + 0 + 1\/24*l**4 + 4\/3*l**3 - 9\/2*l**2. Let g(v) be the first derivative of r(v). Calculate g(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) -7 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*h**3 + h**3 + 2*h**2 + 5*h**4 - h**2 + 2 - 2*h**3 to the form q*h**3 + r*h**4 + c*h**2 + g + u*h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 3, h: 15}. Give prob of sequence ii.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 * 0.68.\nAnswer: 2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76 = 5*d + a, -6*a = d - 10*a - 32. Solve -k + d*k = 120 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (sqrt(128) - (sqrt(128) + -1)*-4) + sqrt(128) + -4 + -5 + (sqrt(20) - sqrt(120)\/(-5*sqrt(6)))\/sqrt(10))**2.\nAnswer: -7872*sqrt(2)\/5 + 127432\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5.7 + -5. Let s = 0.2 - r. What is the biggest value in 1\/3, s, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3873 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vv when two letters picked without replacement from {m: 1, v: 2, d: 3, l: 4, q: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**2 - 2*t - 2. Let h be p(3). Let m(w) = 10*w**2 + 52*w - 27. Let z(k) = 3*k**2 + 17*k - 9. Let d(f) = -2*m(f) + 7*z(f). Is 25 a factor of d(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f and 1 x when three letters picked without replacement from fffamxayaafxxxyam.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*v - 6*v + 3*v + 9*v - 5*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4373173 is divided by 728859.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -228515*y**4 + 160162 wrt y.\nAnswer: -914060*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + 1*-3*(sqrt(396) - (sqrt(396) - (sqrt(396) - (1 + sqrt(396)) - sqrt(396)))) + -4 + sqrt(396) + (2 + sqrt(396))*-5 + 5)**2.\nAnswer: 36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 4*(-3 + (-1 + (sqrt(192)*-5)**2)*3 + -5).\nAnswer: 57558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -110011111000101000 (base 2) in base 13?\nAnswer: -75969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 26\/131 and 11\/5?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-204*n + 102*n + 117*n + 14*n**2)*(n - n - n).\nAnswer: -14*n**3 - 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 4263839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**3 - 41*n**2 - 267*n - 103. Give v(-33).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = d + 4*c - 5, -7 = d + 33849*c - 33851*c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -3*a**2. Let w(y) = -4 + 15*y**2 + 12 - 8. What is b(w(d))?\nAnswer: -675*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 145, 182, 273, 442, 713, 1110, 1657, 2378?\n\"Answer: 4*s**3 + 3*s**2 + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2808298 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -83*z + 80 = -86. Solve -r = z*h + 14, -3*h = -h - 2*r + 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*s - 25*s - 70 = 0. What is the remainder when 38 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 2311*i**3 + 7*i**2 - 8*i - 7. Let t be f(4). Let j = -220977 + t. Round j to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2125*o**2 - 2165*o**2 + 4324*o**2.\nAnswer: 34*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.8 + 1.68. Let i = s + 0.1199986. Round i to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that w**3\/3 + 710*w**2 + 10625*w\/3 = 0.\nAnswer: -2125, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 5\/4, 498, -3 in decreasing order.\nAnswer: 498, 5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**3 + 39*q**2 - 481*q + 18759. Give o(39).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1 at most as big as -134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3168)*4)\/(sqrt(11) - sqrt(11)*-4*2).\nAnswer: 16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*j = -x - 15*j + 24, 3*x - 3*j + 18 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.087 less than -17?\nAnswer: -16.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the third derivative of n**9\/5040 + n**8\/2240 - n**4\/8 + 71*n**2. Let b(w) be the second derivative of j(w). Factor b(u).\nAnswer: 3*u**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 452 and 292?\nAnswer: 32996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/((-12)\/21))\/(219\/(-1314)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*j**3 - 318 + 318.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:24 PM and 5:07 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jqqqqjqqqqdqqdq. What is prob of picking 2 d?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.51 + -0.39. Let l = b - 0.1. Sort -0.5, l, 0.\nAnswer: l, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**3 - 28*h**2 + 22*h - 198. Let i be u(-29). Calculate the highest common divisor of i and 580.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 1. Let q(v) = -91*v + 10. Let c(p) = 5*b(p) - q(p). Let j be 63\/12 - 9\/(-12). Is c(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -3*k**2 - 10*k + 7. Let a = -3 - -5. Let w(c) = 1 + 7*c - 6 - c**a + 3*c**2. Let i(p) = 7*w(p) + 5*y(p). Find j, given that i(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 453 (base 12) in base 6?\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 696 is divided by 134?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3894*k + 12382?\nAnswer: -3894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 111 (base 3) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -3*o**3 + 21*o**2 + 82443*o - 577085. Determine j(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 1, 0.5, -2\/3, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 11 = -5*k, -53*k + 7*g + 5 = -54*k. What is the fifth biggest value in 0.3, k, 0.1, 7, 2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1037829454 to the power of 1\/2, to the nearest integer?\nAnswer: 32215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1, 1, -11.847, -208?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 301 a factor of 74949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.05 (b) -564 (c) 3 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 451254 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 184790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uke when three letters picked without replacement from ukecowu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 515*a = 512*a + 270. Calculate the greatest common divisor of 81 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2747213?\nAnswer: 7, 37, 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d**3 + 9*d**2 + 3*d - 5. Let g(q) = -17*q - 10 - 7 + 18*q. Let r be g(8). Let s be u(r). Is s at least as big as -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1482 and 8567?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -157\/626 + 1\/1252. Which is the nearest to 8? (a) 4 (b) j (c) 5 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -5565.555 to the nearest integer.\nAnswer: -5566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 375, 2005, 6161, 14019, 26755?\n\"Answer: 196*o**3 + 87*o**2 - 3*o + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2058.2 times -0.3?\nAnswer: 617.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = -1 - 3. Let w(r) be the third derivative of r**5\/20 - r**4\/6 + r**3\/6 + r**2. Let s be w(3). Solve 5*j - s = q*t, 7*j - 3*j - t = 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and -330197311?\nAnswer: 1320789244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.96 + 2. Let q = a - 0.34. Let b = 75.6 + -76. What is the third smallest value in b, 5\/6, q?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = y - 94, -4*y - 2*p + p = -361. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v - 4 = -4*v. Let p(t) = -t**2. Suppose 4 = -4*a + 2*b - 10, 3*b - 3 = 0. Let o be 0*(-1)\/a - 1. Let q(s) = -1. Calculate o*q(d) + v*p(d).\nAnswer: -d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -a24 (base 12) in base 9?\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 2*v = 3. Which is the closest to 2? (a) -3 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 14.831238 months to centuries.\nAnswer: 0.012359365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17678 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that -2*v**3 + 2*v**2 + 10*v + 6 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 459 minutes after 6:39 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 15*k**2 + k. What is the remainder when a(-2) is divided by 7*1 + (-39 - -44)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1200177*p**3 + 43*p**2 - 13335?\nAnswer: -7201062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes after 6:30 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.385 + -4.385. What is the second smallest value in 3, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the first derivative of -v**3 - 41*v**2\/2 + 2*v + 7. Let o be h(-13). What is the greatest common divisor of 98 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(8\/4))\/(3\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = i + 14. Let f be n(-12). Find the first derivative of 0*h + 4 - f*h + 2*h - 2*h**3 wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 20\/77 or 24.8?\nAnswer: 20\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/45 (b) -38 (c) 0.2 (d) -118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1015534653 to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h + 3 = p, 2*p - 3*h = -219 + 225 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - 5) + 1 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(156)*-3)\/((sqrt(48) - (sqrt(48) - sqrt(432)))\/sqrt(4)) - (2*(sqrt(2548)*1 + sqrt(2548) - sqrt(2548)) + -3))**2*-2.\nAnswer: -25004 + 372*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 997*v**3 - 14*v**2 - 37*v. Let z(l) = 997*l**3 - 15*l**2 - 37*l. Let b(o) = 6*w(o) - 5*z(o). What is the third derivative of b(u) wrt u?\nAnswer: 5982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -30429129 smaller than -30429124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d - 9. Let v be u(-7). Let r(a) = -4. Let m(g) = g + 1. Calculate v*m(l) - r(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -193521050 to the nearest 1000000.\nAnswer: -194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -1847 (base 9) to base 3\nAnswer: -1221121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 5*-74.00834\nAnswer: -370.0417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*x*z**3 + x*z - 3621*z**3 - 5*z**2 + 44180*z wrt z?\nAnswer: -12*x*z - 21726*z - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -12884763*x**4 + 77*x**2 + 5*x - 74565 wrt x.\nAnswer: -309234312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 193623\/14 - 13824. Find the common denominator of q and 71\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 676057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 362991 is divided by 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 7 = -t, 32*t + 20 = 28*t + 4*h. Which is the fifth biggest value? (a) t (b) 6\/5 (c) -4 (d) 3\/4 (e) 0.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - v = 16, 7*r = 3*r - v + 8. Let s be 5\/4 + r\/(-12). Solve 3*u + s = -8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 377*y**2 + 9*y**2 + 9*y**3 - 386*y**2 - y + 592 + 0*y to the form g*y**3 + m*y**2 + i*y + b and give b.\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) be the second derivative of 3*w**5\/20 + 31*w**4\/4 + 112*w**3 - 384*w**2 - 627*w. Suppose y(j) = 0. Calculate j.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 51 minutes before 9:03 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1575713 or 1575709?\nAnswer: 1575713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3184 divided by -4.\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 513*j - 329*j + 228*j + 689*j.\nAnswer: 1101*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9 - -18. Let t = -2.4 + 2.7. Which is the closest to -0.1? (a) -0.2 (b) t (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -6512499 times -5\nAnswer: 32562495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -12, -31, -54, -81?\n\"Answer: -2*m**2 - 13*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1079, -5551, -15037, -31199, -55699?\nAnswer: -90199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 42 times -2\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 4.64714 centuries?\nAnswer: 0.464714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 399\/(-133)*2\/(-7)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -580*a - 11537 = -438*a - 281*a for a.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*o + 19*o - 4*o - 10*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/((l**(-4\/5)\/l)\/l)*l\/(l\/(l\/l**4)))**(22\/7))**(-6) assuming l is positive.\nAnswer: l**(-528\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -43, -429, -1563, -3847, -7683?\nAnswer: -13473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v - 7*v + 90. Suppose z - 13 = -4*o, -2*z = 4*o + 4 - v. What is the units digit of 16 + -4 + -3*z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -740 - -356828?\nAnswer: 356088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:18 AM and 11:02 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -8528e (base 15) to base 11\nAnswer: -269444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-11)\/(-22))\/(1\/2)*510. What is the greatest common factor of 60 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -579*h + 129*h - 113*h + 67*h - 573*h to the form l*h + m and give l.\nAnswer: -1069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*k**3 - 43*k**3 + 44*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (-15)\/((-105)\/28)*(-6)\/3504*4?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n - 1. Let c(q) = 3*q - 1. Let r(o) = -4*c(o) + 11*p(o). Let k(i) = 8. Determine 6*k(b) + 7*r(b).\nAnswer: -7*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 16 - 42 - 19*a + 16 wrt a.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that 5*m**2 + 510*m + 1960 = 0.\nAnswer: -98, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*j**3 - 20*j**3 + j**3.\nAnswer: -33*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.33 + 11136098903.\nAnswer: 11136098903.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 5972001.4 to the nearest one thousand.\nAnswer: 5972000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 1, 114, -5, 0.3, 694, -37?\nAnswer: 694","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.06 in 30\/13, -0.5, 1, 37, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 36292381, 4, -0.3 in decreasing order.\nAnswer: 36292381, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 4*s = -1253, 0*t = -5*t + 3*s + 6173. Suppose -9830 = -13*q - t. Calculate the smallest common multiple of q and 7.\nAnswer: 4627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(756))\/sqrt(12))\/((-1*sqrt(324) - sqrt(324) - sqrt(324)) + sqrt(324))*5 + -1 + (-3 + sqrt(567) + -1)**2 + -2.\nAnswer: -859*sqrt(7)\/12 + 580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a + 19 = -5*h, -h + 5 = -5*a - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**0*y*y**(-2\/29)*y*y*y assuming y is positive.\nAnswer: y**(114\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.4 in 2, -14\/11, 0.11, -3, -2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-1\/2)*b)**(-16) assuming b is positive.\nAnswer: b**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54 = -2*d + 4. Let m be (-85)\/d + 2\/(-5). Solve -m*i + 3*w - 24 = 0, 5*i - 2*i - 4*w + 28 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4.94 + -3. Let t = x + 8. Let v = -0.06014 + t. What is v rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -18 + 18. What is the second biggest value in 3\/5, 5, b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -31*g**2 - 5*g - 9. Let h(p) = 15*p**2 + 3*p + 4. Let z(v) = -3*a(v) - 5*h(v). Is z(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -1, 2, 3, 1078, -5 in increasing order.\nAnswer: -5, -1, 0, 2, 3, 1078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be -2 + 1 - (-15)\/1. Let d = w + -8. Suppose -2*s - 5 + 1 = -p, -3*p + 4*s = -12. Solve p*u + d = -10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 8.7 - 9.1. Suppose -5*r + 16*r = -396. Let w = 39 + r. What is the closest to w in -1\/5, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.4856483 to 3 decimal places.\nAnswer: 0.486","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -7 (b) 0.0882 (c) 20 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*r + 2*r + s + 20, -35 = -2*r - 5*s. Let g be 2\/r - (-16)\/10. Does 17 divide 1\/(g - (-243)\/(-123))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 53566 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Product of 6395 and 3.\nAnswer: 19185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) be the first derivative of b**2\/2 - 5*b - 7. Let r be y(4). Let t be 24 + -5 - (r + 0). What is the highest common factor of t and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the first derivative of -n**2\/2 + 154765. Let q(g) be the first derivative of 0*g + 2 - 8\/3*g**3 + 0*g**2. Calculate q(h(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-12)\/(7\/((-21)\/6)). Suppose -3*z + 60 = -b. Suppose -j = -z - 5. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 82*c**4 + 976*c**3 + 1544*c**2 - 160*c = 0 for c.\nAnswer: -10, -2, 0, 4\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 4*b**2 + 345*b - 19974. Determine i(-126).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 106 + -73. Let g = -30 + k. Suppose -g*a + 8 + 37 = 0. Calculate the remainder when 132 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -2*h + 9. Give r(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 51978.58915 rounded to the nearest 10?\nAnswer: 51980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.077 + 1.373. Let a = n + -4.05. What is a rounded to 1 dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*c**2 + 4*c**2 - 10*c + 0*c**3 - c**3 + 40*c to the form d + z*c**3 + a*c**2 + k*c and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -3*m**2 - 29*m - 9. Calculate w(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2133900173 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 2744, 5508, 8260, 10994, 13704, 16384, 19028, 21630?\n\"Answer: -n**3 + 2771*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2 + 0)\/(-1 + 20\/16). Let f(i) = -8060 - 2*i + i**2 - 4*i + 8047. What is f(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 233.9 + -232.9. Let y = 9.2 + -8. Let g = 1.3 - y. Which is the nearest to -0.2? (a) h (b) g (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*s + 21 + 11. Find the second derivative of s*m**5 - 4*m + 13*m**5 - 43*m**5 wrt m.\nAnswer: -280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i**3 - 44*i**2 + 41*i + 158. Calculate the remainder when 175 is divided by x(43).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/117 + (-3046)\/(-78) + -21\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 27559127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 29 + -27. Suppose 110 = 5*d - 2*r, 4*d - d - 47 = 5*r. Let n = -21 + d. Solve -n*t + 1 + q = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*k**2 - 3002386*k\/3 - 500398\/3.\nAnswer: 2*(k - 250199)*(6*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 3, l: 4, t: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-135 - -122) + -1 + 28 + (-9 - -12).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*m - 2190*l + 201 = -2195*l - 107, -2*l + 184 = 4*m - 5*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -371*t = 729*t + 16500 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 234547 is divided by 15631?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = 406 - 131. What is the greatest common factor of y and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -26.79723 and 77.\nAnswer: 50.20277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 11379079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.35 - 35.65. Let j = q + 42.6. What is j rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*t**2\/3 - 3336796*t.\nAnswer: 4*t*(t - 2502597)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be 63\/13 + 2\/13. Let p be 144\/40 + 2\/x. Let h(z) = -z**3 + 6*z**2 - z - 3. Let k be h(p). Solve 3*v - k = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -93\/8 and -59\/148.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-10)\/45 - 60\/(-27). Let r be (13 + -10)*m\/3. Solve -r*h = -5*o + 25 - 2, -5*o - 3*h = -3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4.26 + 0.26. Let k = 9 + -6. Which is the third biggest value? (a) k (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n**5\/4 + 113921*n**4\/4 + 2162752085*n**3\/2 + 13680121100929*n**2 - 178175885778214*n - 1917186290787320 = 0. Calculate n.\nAnswer: -37978, -7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.6999974 + -0.7. Round i to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the second derivative of -19*m - 11\/12*m**4 - 1\/20*m**5 + 0 + 13\/2*m**2 + 1\/6*m**3. Let w be f(-11). Solve -5 = w*z + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.5 and -11.2.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 82 + -6?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -2088130 divided by 5\nAnswer: -417626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71 = b + 4*m, 0*b - 5*m - 221 = -4*b. What is the remainder when b is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 85 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - (0 + 7) - (-16 + (-5 - -17)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 49928849?\nAnswer: 49928849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - (-18 + 1) - (4 + -11) - 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 350 + -350.5. Put -0.102, -3, r in decreasing order.\nAnswer: -0.102, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 122576 times 6\nAnswer: 735456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ow when two letters picked without replacement from nlwoc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 50858.82 months in centuries?\nAnswer: 42.38235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -34377 minus 39?\nAnswer: -34416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2.9 + 1.4. Let y = 2 + t. What is the nearest to -0.07 in y, 0, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 1, k: 4, p: 6}. What is prob of picking 4 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10907 is divided by 3624.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x be (6\/12)\/(2\/4). Suppose 3*k - x = k - 3*z, 5*z = -4*k + 5. Solve 5*h - 20 = -5*a, h = -k*a - 0*h + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71*j - 3547 + 8585 = -4405. Solve -j*r = -122*r - 33 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 132.000262 - 132. What is d rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -681, -1465, -2201, -2883, -3505, -4061?\nAnswer: -4545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 20 - -11530?\nAnswer: 11550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*b**2\/2 + 1902405*b\/2 - 951204.\nAnswer: 3*(b - 1)*(b + 634136)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 67860 and 11231532?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 59506 is divided by 5391?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s = 3*u + 6, 0*u - 50 = 3*u + 3*s - 44 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 105\/2*9*220\/594 is divided by 55.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.214 - 0.519. Let w = -0.105 - r. What is the smallest value in w, -3, -0.2, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*b + 725 - 85 = 0. Suppose 5*r - 115 = 5*a - 7*a, -b = -a + 4*r. Calculate the greatest common divisor of a and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -8878467, -17756782, -26635097, -35513412?\n\"Answer: -8878315*l - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -843, -853, -881, -933, -1015, -1133, -1293, -1501?\nAnswer: -1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 102440 (base 5) in base 16?\nAnswer: da7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 48 by 1.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Add -0.5 and 5556724.\nAnswer: 5556723.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the first derivative of 15*y**2\/2 - y - 2245. Let d(f) = 29*f - 2. Calculate -2*d(a) + 5*o(a).\nAnswer: 17*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w be (806\/(-65))\/((-2)\/30). Suppose -5*y + 194 = g, 4*g = 5*y + 3*g - w. Suppose 3*c - 5*c + y = 0. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/k**(1\/3)*k*k**(-6))\/(k**(1\/4))**(-1\/23) assuming k is positive.\nAnswer: k**(-1193\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f be 16\/(-7) + 4\/14. Let x(k) = -k**3 + 10*k**2 - 9*k + 8. Let z be x(9). Let w be 24\/(-27)*f\/z. Which is the nearest to 1? (a) -2\/5 (b) w (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -n**3 - 3*n**2 + 4*n. Let m be -12*((-105)\/(-20) - 5). Give w(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.74 + -0.84. Let g = o + 0.10000028. Round g to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-4)\/(4 - 0))\/((-2)\/204). Suppose 0 = -0*o - 6*o + f. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:10 AM and 6:13 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1\/1879 - -1883\/7516. Factor 3\/4*p**4 + 0 + a*p**2 - 3\/4*p**3 + 0*p - 1\/4*p**5.\nAnswer: -p**2*(p - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 + 7. Suppose -j - 75 = -g*k, 5*k - 84 = k - 4*j. Suppose m = 5*m - k. Sort m, 1, 3 in increasing order.\nAnswer: 1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 6102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -f - 3*m - 4, -10*f - 791*m + 22 = 796*m - 1588*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -o, 4*o - 11 = 2*w + w. Let b be (-2)\/(-4) + (14\/(-12) - w). What is the second biggest value in b, -4\/3, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12 + -13. Let i = v - -13. What is the remainder when 33 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14 + 5 + -11 + 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1164068*s**5 + 1057619*s wrt s?\nAnswer: 23281360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 148445944 and 9232?\nAnswer: 4616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2 and 202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 5*g*x**3 - 1808380*g*x*z + g*z - x**3*z + 2*x**3 - 2*x**2*z + 27*x*z + 12239*z wrt g?\nAnswer: 5*x**3 - 1808380*x*z + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2371 - 21322\/9. What is the common denominator of -25\/1323 and q?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4386559 or 4386567?\nAnswer: 4386559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -16\/3, -14, 19505 in increasing order.\nAnswer: -14, -16\/3, 19505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -x. Let m(h) be the third derivative of 1\/12*h**4 + 4*h**2 + 6*h + 0 - h**3. Give m(n(a)).\nAnswer: -2*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -464148 or -464167?\nAnswer: -464148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 117 and 513?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = 6*k - 8. Let r(o) = k + 0*o - 3 - o. Let f be r(-5). Solve 2*l - 6 = f*i - 0*l, i - 5*l = -6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -966 = -4833\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 26110 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 9 + 5 = 0. Let i = n + -2. What are the prime factors of (-27)\/(-3) - 2*i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*q = -9*q - 8. Let a be (1 - q)\/(4\/28). Let u(h) = -82*h - 11. Is u(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 62546, 250155, 562838, 1000601, 1563450, 2251391, 3064430?\n\"Answer: k**3 + 62531*k**2 + 9*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 12 = g, g - 14 = 21*i - 26*i. Suppose i*m = -2 + 456. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3710\/96037 <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 15\/17, -23\/5, -60 in descending order.\nAnswer: 15\/17, -23\/5, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in seven halves of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f**2 - 3*f - 6. Let c be 1*(-13 - -5)*(-2)\/(-8). Let t be j(c). Solve t*s = -4*u + 8, 4*u = -2*s - s + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1213 (base 8) to base 5\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/117 and -4\/1953?\nAnswer: 25389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6\/(-15) - (-2)\/(10\/27). Suppose -4*l - 12 = -0*b - 4*b, -m*l + 30 = 4*b. Suppose l*c - 522 = 5*z, -5*z = -4*z + 4. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -28 - -33. Suppose -4*k + 662 = 2*h - 532, y*h = -3*k + 2971. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 204988302 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -4*((5*sqrt(468) + 5 - sqrt(468)) + (sqrt(468) - ((-3*sqrt(468) - sqrt(468)) + sqrt(468) + 4 + sqrt(468))))*-5 + -4)**2.\nAnswer: 25200*sqrt(13) + 9173025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 98 = 20. Let t be ((-3)\/p)\/((-3)\/(-4)). Let f = 533 + -532.9. What is the closest to f in 0, t, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 21, 6, -27, -84, -171, -294, -459?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2224537.22 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -74, -62, -52, -44, -38, -34, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/8 of a day in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(231) - sqrt(231)*1)*-6)\/(sqrt(7) + sqrt(112)\/sqrt(4)))\/(1*sqrt(75) - -5*sqrt(363)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be 582\/1*8\/12. Let i = f + -226. Round i to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10488 is divided by 619.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.2 - -4.4. Let k = -4.60098 + a. Round k to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -1. Let k(c) = c**2 - 4*c - 10. Let i(h) = -k(h) + 4*p(h). Suppose 7*n + 5*v = 5*n + 5, 4*n = 3*v + 23. Calculate i(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -641*w + 1667 - 292 = -5035 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 680.788 * 0.345\nAnswer: 234.87186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 330839 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 3365109 divided by 1881\nAnswer: 1789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 169, 205, 241, 277, 313, 349?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be 7*(64\/(-4))\/(-4). Calculate the smallest common multiple of -60*(o\/(-6))\/7 and 36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from yyyayssyyy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3 + -2. Let s = 33010.4 - 33009. Which is the biggest value? (a) s (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - 2 - (-71 - -68)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = c. Let l(q) = q**2 + 6. Let s be l(c). Let g be s - 10 - (-58)\/12. Are 1 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 106 (b) 0 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1771*l**2*x**2 + l**2*x - 13477*l*x**2 + 5*l + 544*x - 210 wrt x.\nAnswer: 3542*l**2 - 26954*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00001348869668 rounded to seven decimal places?\nAnswer: 0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(1053) + -1 + 2)**2.\nAnswer: 18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 11*t + 4*t - 12*t - 2*t - 5. Calculate j(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1225425 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -30541, -68233, -105937, -143659, -181405?\n\"Answer: -h**3 - 37685*h + 7145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:20 AM and 7:18 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 156 - 48. Does 36 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -48.353 - -48.3. Let n = l - -1.295. Round n to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 + 10111110?\nAnswer: 10111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 180 and 840?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(70) - (6*-1*sqrt(70) - sqrt(70)))\/((1*sqrt(70))\/sqrt(7)).\nAnswer: 5 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) be the second derivative of u**3\/3 + 5*u**2\/2 + 21*u. Calculate g(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -3692.73 to the nearest integer.\nAnswer: -3693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 15*v*x**2 + v*x + 2*v - x**5 + 2*x**3 + 376*x wrt x?\nAnswer: 30*v - 20*x**3 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 809726*i**3 - 2429116*i**3 + 809689*i**3 + 809703*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 869*l + 19163 - 52963 = 193*l for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 - -2.918. Let a = i + 0.08323. Round a to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 360911175 and 18995325?\nAnswer: 360911175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -24395, -24547, -24699, -24851, -25003?\n\"Answer: -152*i - 24243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2212 - -2218. Let g(s) be the second derivative of 3\/10*s**5 + 0 + 1\/2*s**4 - 1\/2*s**3 - 1\/14*s**7 - 3\/2*s**2 - 1\/10*s**c - 16*s. Factor g(h).\nAnswer: -3*(h - 1)**2*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 301*m - 66*m**2 - 301*m - 2 in the form f + x*m**2 + l*m and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 127 + -117 - (-5 - -30)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 33228 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = -16537 + 16542. Solve 2*l + h*t - 2 = 6*l, -4*l - t = 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19 (base 11) in base 7?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4635 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 6.969813 and 55.\nAnswer: 383.339715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = q**2 + 25*q - 503. Let v be m(14). Suppose 0 = -h - 3*f - 4, h + 41*f - v*f = 6. Determine r, given that -28\/9*r + 16\/3 + 4\/9*r**h = 0.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.636 + 11.364. Let x = 33 + -30. What is the second biggest value in 0.2, y, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 0\/(1 + 0 - -1). Let t = 10.17 - 0.17. Let d = t + -13. Which is the nearest to u? (a) d (b) -0.2 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 120103412 (base 5) in base 11?\nAnswer: 346649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(66) - 4*(sqrt(66) + (2*sqrt(66) - sqrt(66))))\/(sqrt(48)\/sqrt(8)*3 - sqrt(6))*5*-3)**2 + 1.\nAnswer: 1091479\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 78*q**2 - 9*q + 2. Let f = -113 - -109. Let w be y(f). What is w rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 42 and 176.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 2*b**3 - 4*b**2 - 6*b + 3. Let v(g) be the third derivative of g**6\/120 - g**5\/20 - 5*g**4\/24 + g**3\/3 - 7*g**2. Give -3*d(u) + 4*v(u).\nAnswer: -2*u**3 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -498*k + 2. Let v(y) = -166*y + 1. Let x(c) = -4*d(c) + 11*v(c). Let q be x(2). Suppose -2*s - q = -5*a - 80, s = 5. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -23656 - 10104?\nAnswer: -33762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 - 23*d**3 + 38*d**2 + 40*d**3 - 8*d**3 - 13*d**3 to b*d**3 + k*d + f + j*d**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -232 - -409. Suppose 0 = -4*i + k + 51. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 17169 + -85848\/5. Which is the fourth biggest value? (a) s (b) 6 (c) 1.1 (d) 0.19 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (100\/(-450))\/(2\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2844824094 to the power of 1\/3, to the nearest integer?\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the second derivative of u**8\/420 - u**5\/40 - u**3\/3 + 3*u. Let x(b) be the second derivative of n(b). What is the second derivative of x(k) wrt k?\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -62 + 15. Let r = m + 46. Let q = 2.1 - 2. Which is the nearest to q? (a) -2\/3 (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -2*v - 144. What is x(-69)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 9 = -m, -m - g - g = -7. Suppose -3*o = -0*o - m*j - 44, j = 2. What is the remainder when 69 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*u**5 + 7875*u**4 - 5179770*u**3 + 15492090*u**2 - 15476355*u + 5156163.\nAnswer: -3*(u - 1311)**2*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(6*(sqrt(2) + 0)*1 + -2 + 2 + -2).\nAnswer: -6 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 50 - 79 - -11 - -63.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Is 2374734319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from neee. What is prob of sequence nee?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be 233 + (7 + -4 - 0). Suppose 0 = -3*n + 7*n - m. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 280 and 8436015?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -259890, -519778, -779666, -1039554?\nAnswer: -1299442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -55de (base 16) to base 5.\nAnswer: -1200412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 - ((7 - 10) + -7 - -6) - 20.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 2*p - 5. Suppose -6*m + p*m = -56. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u**3 - 6*u**2 - 9*u - 5. Determine p(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 2\/7 (b) 4 (c) -1623\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3 - 3 - 3*q)*(-5 - 12 - 1) - 8 + 2*q + 2*q + 5)*(-5*q**2 - q**2 + 4*q**2).\nAnswer: -116*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -77, -149, -205, -239, -245, -217, -149?\n\"Answer: r**3 + 2*r**2 - 85*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the first derivative of 5*d**6\/144 - 7*d**5\/24 - 2*d**4\/3 - 5*d**3\/9 + 14*d**2 + 133. Let o(q) be the second derivative of z(q). Factor o(g).\nAnswer: (g - 5)*(5*g + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2a72a - -180?\nAnswer: -2a56a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2.8 - 3. Let n = 43.339 - 43.3. Which is the second smallest value? (a) -5 (b) x (c) 3 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -71c6 + 4?\nAnswer: -71c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 186087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 997284?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (2 + (sqrt(60) - sqrt(120)\/sqrt(2))\/sqrt(12) + 3 + sqrt(45) + 2)**2.\nAnswer: 42*sqrt(5) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -3*f**3 + 7*f**2 + 7. Let a be 1 - (5\/3)\/((-65)\/(-78)). Let x(c) = -c**3 + c**2 + 1. Give a*l(p) + 6*x(p).\nAnswer: -3*p**3 - p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/863168 and -91\/3600?\nAnswer: 194212800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -y + 11*q + 7, 82*y - 167*y - 9 = -83*y + q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 66*v + 472 = -212 - 602 + 32 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**2\/5 + 42466*s\/5 + 25440144\/5.\nAnswer: 2*(s + 617)*(s + 20616)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1275356 is divided by 1013?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -1082, -2186, -3292, -4400, -5510, -6622?\n\"Answer: -v**2 - 1101*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 111 minutes before 11:19 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28047?\nAnswer: 3, 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 138378819?\nAnswer: 3, 127, 363199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -3*(-16)\/72*15\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) be the second derivative of q**4\/6 + 12*q + 15. Let b(v) = 31*v**2. Let s(c) = -450*c**2. Let m(h) = -72*b(h) - 5*s(h). Determine m(f(l)).\nAnswer: 72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-8)\/(-1) + (4 - 330\/27). Sort 1\/2, t, 3\/7, 0.2, 99 in decreasing order.\nAnswer: 99, 1\/2, 3\/7, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 474 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = 135 - 33. Let y = j + -101. What is the greatest common divisor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -4.6, 5\/4, -464?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqgggggggggg. Give prob of picking 2 q.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/14, -3\/5, -9\/17, -1\/4 in descending order.\nAnswer: 1\/14, -1\/4, -9\/17, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (-1 + sqrt(704))*-4 + sqrt(704)*1*-1*-5)**2.\nAnswer: 112*sqrt(11) + 753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -1490, -5387, -11882, -20975, -32666, -46955?\n\"Answer: -1299*a**2 - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = m - 3*c + 24, -5*c = -2*m - 5. Suppose -5*p = -4*w - 10, -m*w + 10 = 5*p - 3*w. What is the lowest common multiple of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 6*b**2 + b - 1. Let g(j) = j + 12. Let y be g(-13). Let a be o(y). Solve -a = -3*u + 2*l, 0 = -4*u - 5*l + 13 + 23 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4542 divided by -3.\nAnswer: -1514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -1981350 divided by -1850?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 - -23. Suppose -16*j - s = -24*j. Let d be 4 + (2 - 3) + -3 + j. Solve 2*l - d*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 154 minutes after 2:03 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 + 14. Let t = 14 - z. Let x = 92 + -90. What is the least common multiple of x and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 4, g: 2}. Give prob of sequence eg.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (0\/(-62) - 0)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 138 = -156. Suppose 29 = 3*n - g, -2*g = u*n - 3*n - 23. Calculate the least common multiple of 7 and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + 0 - (41 + 49 + -75)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be -4*(7\/(-2))\/7. Which is the nearest to -2? (a) w (b) -2\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve b = 18*j - 2*b - 30, 2944*j = 2941*j - 2*b + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h**4\/9 + 1995556*h**3\/9 - 497776477514*h**2\/9 - 663709952264*h\/3 - 221237537672 = 0.\nAnswer: -2, 498891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*w**2 + 6*w**2 - 11*w**2 - 2*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = 358\/15 - -19\/3. Let v = y + -1691\/55. Sort 4, v, -5 in descending order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*z**3 + 7572*z**2 - 4701312*z - 97079040.\nAnswer: -3*(z - 1272)**2*(z + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*z - z + 11*z)*(1 - 3 + 0)*((3 - 1 - 1)*(4*z - 5*z + 3*z) + 0*z + 0*z + 2*z).\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 25 or -1240?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put together -1807 and -106.0624.\nAnswer: -1913.0624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 3 + 1 - 1 + 3 - 1 - 1 - 1 - 1 + (-6 + 2 + 3)*(1 - 2 + 3) + 0 + 2 - 1)*(1 - 1 + x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -17*n + 17*n - 15*n**2 + (3*n**2 - 3*n**2 + n**2)*(3 + 3 - 5) + 0*n + 2*n**2 + 0*n + n**2 + 2*n**2 - n**2 + n**2 - n + n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2229 - 1479. Let m = j - 527. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -9837.9988098 + 9838. Round c to five decimal places.\nAnswer: 0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = -4*b - 10, -5*c = b + b + 10. Suppose b = -4*l + l + 9. Suppose -8*g = -3*g - 60. Solve q + l*q = -g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/123*-2*3. Is -1 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 19*m + 37. Calculate d(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -y + 7. Let j be x(4). Suppose 1 + 65 = j*v. Suppose -4 = u + u, m = -u. Calculate the smallest common multiple of v and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/d**(3\/7))\/(d*d**(4\/3)))\/((d**2\/d)\/d*d**(-4)) assuming d is positive.\nAnswer: d**(47\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-1)\/o)**(-33)\/((o*(o\/o**(2\/3))\/o*o)\/(o\/o**(-2\/7))) assuming o is positive.\nAnswer: o**(1385\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -38636, -77227, -115784, -154301, -192772, -231191, -269552?\n\"Answer: w**3 + 11*w**2 - 38631*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be (384\/(-224))\/((-2)\/7). Suppose -3*i = 4*o - 649, -9*o - 3*i + 489 = -t*o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the first derivative of p**5\/5 - 15*p**2\/2 + 8. What is the second derivative of s(l) wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 282 is divided by 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 1, i: 5, x: 4, d: 10}. Give prob of picking 1 f and 2 i.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -165*f + 56*f = 1744 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 679 minutes before 9:17 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -2159*l + 27. Let v be q(-15). Let t = v - 420906\/13. Let -60\/13*g + t + 2\/13*g**2 = 0. What is g?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -889, -1618, -2353, -3094, -3841, -4594?\n\"Answer: -3*p**2 - 720*p - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:06 PM and 3:51 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 106 - 925 = -124*n + 669 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2599056403?\nAnswer: 4007, 648629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*l = -q + 3*l - 161, -3*q = -4*l + 540. Find the common denominator of (2\/24)\/((-39)\/(-10842)) and 10*92\/q - 1\/(-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 18860 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4480 and 128?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - ((-2 - -3) + -1) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - q - 2 + 9 = 0, -5*q = 5*s - 20. Solve 2*x + s*a + 17 = 0, -5*x - 24 = 4*a + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1463700 divided by -5?\nAnswer: 292740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t, 1 h, and 2 k when four letters picked without replacement from {d: 1, h: 1, t: 2, n: 1, k: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + -1 + sqrt(108) + -1)**2 + (3*(1 + sqrt(9)\/sqrt(3))*1)**2.\nAnswer: 54*sqrt(3) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 338*k**2 - 27*k**2 - 30 + 363*k**2 + 30 to d + s*k + q*k**2 and give q.\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.017 + -0.373. Let x = 0.01 - z. What is the third biggest value in x, -2\/9, 1\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 88117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 198 - 18 = 0. Suppose 28*i - 25*i = g. Let n(b) = -b**3 + 14*b**2 + 22*b - 5. What are the prime factors of n(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15 - 11. Let u = -4.77 + 5.77. Which is the nearest to 1? (a) g (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 3*x**3 + 11*x**2 + 2*x - 14. Give n(-4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**2*a*a*a*a**(-2\/43)*a)\/(a**(-2\/3)\/(a\/((a*a**12*a*a*a)\/a))) assuming a is positive.\nAnswer: a**(-952\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes before 3:24 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.18 - 0.1264853990403?\nAnswer: -0.3064853990403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -10 - -13. Let c(v) = 9*v - 4 - 22*v + 13*v - v. Determine c(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -68, -132, -196?\n\"Answer: -64*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -355, -340, -301, -226, -103, 80?\n\"Answer: 2*r**3 + r - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -273 - 399 = 8*q. Let c be (13\/(455\/q))\/(2\/(-5)). Suppose -d + 3*u - c*u = -106, 5*u + 201 = 2*d. List the prime factors of d.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 121547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the second derivative of q**5\/15 - q**4\/24 - q**3\/6 + 7*q**2\/2 - 2*q. Let a(z) be the first derivative of i(z). Let d = -9 - -8. Determine a(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the third derivative of 2*i**7\/15 - 17*i**5\/20 - 2*i**2 + 2. What is the third derivative of t(x) wrt x?\nAnswer: 672*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/3, -12, 5, 294, 3\/5 in increasing order.\nAnswer: -12, -1\/3, 3\/5, 5, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -95561 or -95490?\nAnswer: -95490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 85 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f**3 - 28*f**2 - 7*f - 111. Let q be g(-29). Suppose 4*x - 1431 = q. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/(-2))\/((1\/5)\/(20\/2600)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 154487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 29922.03 + -29922. What is the nearest to a in 4, -1, -0.4, -10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 108.9264 + -410?\nAnswer: -301.0736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1*-6*1\/(-2). Suppose 15*j - 588 = x*j. Let a = -5 - -31. What is the remainder when j is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 996802656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that -p**2\/5 - 3*p\/5 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Are -17 and 63 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 58\/143 and -59\/4286932?\nAnswer: 47156252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 472 + -476. Let l = -65 + 71. What is the closest to v in -1\/6, l, 0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*r + r + 0*r - 4*r + 1 - 1 + (-1 + 1 + r)*(7 - 2 - 3))*(-181*r - 1185 + 1185).\nAnswer: 724*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33224?\nAnswer: 2, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 921 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 15\/33*(24\/20)\/(-3)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be 7\/(2 - (-3 + 4)). Let h(q) = q - 8. Give h(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 336 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 76, 69, 54, 25, -24, -99?\n\"Answer: -h**3 + 2*h**2 - 6*h + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 83 = -2*i + 117, -3*i + 2*o = -31. Solve -i*r + 31*c + 1 = 29*c, -2*r - 11 = 3*c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 17\/10 and ((-2)\/6)\/(-1) - (-26)\/(-9)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -12, 61, 128, 189, 244, 293?\n\"Answer: -3*g**2 + 82*g - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 39*b**5 - 98*b**4 + 23606*b**2 wrt b.\nAnswer: 2340*b**2 - 2352*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 2\/7, 0.2, 0.3, 1, -4, 1\/221?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*h = 129 - 204. Let z be ((-2)\/1)\/2 + -2. Is h at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -78 + 82. Let d(b) be the second derivative of 0 + 2*b**2 + 5\/3*b**3 - b + 1\/10*b**5 + 2\/3*b**x. Determine v so that d(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + 2*sqrt(243) + sqrt(243) + (sqrt(108) - (0 + sqrt(108))**2) + -2.\nAnswer: -111 + 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 20 less than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-6))\/((60\/(-63))\/10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 55\/2 of a millisecond in microseconds?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10146422 and 5577.\nAnswer: 1859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/2 of a millennium in decades?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 21, 22, 17, 0, -35, -94, -183?\n\"Answer: -o**3 + 3*o**2 - o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -6*y - 1. Let s(n) = -3*n**2 - 66*n - 11. Let q(j) = 22*l(j) - 2*s(j). Let z(o) = 7*o**2 - 2*o. What is z(q(t))?\nAnswer: 252*t**4 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 3*c**2 + 10*c + 2. Let h(f) = 7*f + 4*f**2 - 9*f - 5 - f**3 + 7*f. Let j be h(5). Is 14 a factor of p(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - ((-1 - -1 - 17) + -5165 + 5165).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -15*(30\/315)\/((-1)\/(-7))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3 + 13*l**2 - 1 - 12 with respect to l.\nAnswer: 26*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1188 and 40555188?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from ggzooogwoovg?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*-4*-2*sqrt(1792))\/((sqrt(216)\/sqrt(2))\/(sqrt(3) + sqrt(81)\/sqrt(3))).\nAnswer: 1024*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 2*f - 38. Calculate q(21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) -1\/2 (b) 0.4 (c) 4\/3 (d) 14318\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 = -51*x + 48*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 373 minutes before 7:57 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*a + 16*a**2 + 42*a - 36*a - 14*a**2 - 581 to the form x*a + b*a**2 + n and give n.\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - 2*-19)\/(3130\/(-6260)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**3 - 936*k**2 - 92906*k + 93840.\nAnswer: 2*(k - 552)*(k - 1)*(k + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -362 - 16477?\nAnswer: -17061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o**3 - 27*o**2 + 57*o - 28. Determine a(-29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(80)\/sqrt(4) - sqrt(20))\/sqrt(4) + 0 + sqrt(10)\/(-6*sqrt(2)*2).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, 0.06, 92532, -0.3 in decreasing order.\nAnswer: 92532, 0.06, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 61990 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 90 divide 445932990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*q + 5*q + 28. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -148\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmmiiimimiimi. Give prob of sequence ii.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1706900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 3*g = -2028, -2*c - 5*g = -7*g + 1028. Let u = c + 545. What is the highest common factor of u and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3)\/(-108)*-6 - (-93)\/234. Which is the closest to -13\/3? (a) 3 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1053 and 1917.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6\/9 + 41\/(-82). Let x(b) be the third derivative of -s*b**3 + 0 - 1\/24*b**6 + 0*b + 20*b**2 + 1\/12*b**4 - 1\/30*b**5. What is x(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 50\/500*85*6.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -12*p**3 + p**2 + p. Calculate the remainder when h(-1) is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -38*t + 2510. Determine f(80).\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 125338 and 24864466.\nAnswer: 4322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**3 + 7*d**2 - 1. Let v be y(-7). Let a = 6 + v. Suppose -3*n = a*i - 3, 0 = 2*i - 4*i + n + 10. Solve 2*r = -4*h - 6, i*h - 7 = r + 6*h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25654219727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2715*q + 2722*q - 3*x = -4, 2*q = x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 33192 and 6984.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 600 - 598. Solve 0 = -2*o + 2*t - 10, 7*o - j*t = 4*o - 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 26 = 4*y + 10, 3*y - 4*g = 8. Let t be 2\/2 - y\/(-2). Is -4\/7 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 2*v**3 - 2*v + 2. Let n(w) = 27*w**3 - 99*w**2 + 36*w + 48. Let o(z) = -n(z) + 6*x(z). What is c in o(c) = 0?\nAnswer: -2\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = o**2 - 9*o - 84. Let m be g(15). Let n(p) = 7*p + 45. Let l(u) = -4*u - 23. Let d(q) = m*n(q) + 11*l(q). Calculate d(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -212*t**2 + 856*t - 32.\nAnswer: -4*(t - 4)*(53*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - k + 1 = -3, 0 = k + 2. Suppose -4*p + 56 = i*m, p + 2*m - 14 = -m. Let n = p + 1. Calculate the remainder when n is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the first derivative of -86 + 20*d**2 + 36*d + 3*d**3 - 20*d**2 - 15*d**3 - 10*d**2 + 5*d**4. Find l such that w(l) = 0.\nAnswer: -1, 1, 9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**2 - 8*p - 1. Let a be f(9). Let k(n) = -n**3 + 8*n**2 + n - 6. Let c be k(a). What is s in -4*s**3 - 11 + 11 + c*s**4 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = -3*f + 6, f + 0*f = -y + 2. Is 3\/17 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*x + 100 - 30 = -50 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*l + z - 24784 = -18*l, -2*l = z + 16526. Let p = l - -107460\/13. Is 1 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3457\/3 less than or equal to 1151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -87 + -b2029a?\nAnswer: -b20365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is aef0 (base 16) in base 4?\nAnswer: 22323300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 20 - -1012220031?\nAnswer: 1012220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 + 2 - 2*h)*(0*h - h + 2*h) + 0*h**2 + h**2 - 2*h**2)*(4 - 4 - h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 84*q**4 - 88*q**2 wrt q.\nAnswer: 2016*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -17896988*j**3 + 8551373*j**2 wrt j.\nAnswer: -107381928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -15.2 + 17.14. Let q = x + -1.94083. Round q to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.013 + 4.787. Let k = 0.8 + 0. Let a = j - k. What is the nearest to -1 in 2, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*u - 104 = 0, 5*x + 81 - 45 - 50 = 2*x + 2*u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (p**5 - 2*p**5 + 3*p**5)*(26 - 192 - 114).\nAnswer: -560*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4 + 7. Suppose 2*g - g - 15 = 4*a, -a + 6 = p*g. Let j(n) = 2*n + 4. Give j(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11112 + 122101100?\nAnswer: 122112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the first derivative of v**3\/3 + 131*v**2\/2 + 258*v + 8352. Solve x(z) = 0.\nAnswer: -129, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 263 - 156. Let o = 28 + v. Is o a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4622870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.2 + -0.3. Let g = -0.82 - -0.32. What is the third smallest value in s, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 2*i, 2*f - 5*i = -7 - 8. Let z = f - 6. Does 4 divide (3 - -8)*(-1)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:19 PM and 10:48 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 71.19499mg to nanograms.\nAnswer: 71194990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/(-20)*130\/(-156))\/(29\/(-2204))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.913886*2\nAnswer: 1.827772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 105 = 8*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.0993 + -118.4193. Let n = -117 - c. Which is bigger: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 11 and 336?\nAnswer: 3696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -1862*g**3 - 2*g**2 + 16*g + 30. Is l(-2) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -22*z**2 + 17*z**3 - 163*z + 163*z wrt z.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -0.1 and 5034262461778.\nAnswer: 5034262461777.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r + 2*q - 8782, -11798 + 3017 = -4*r - 3*q. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -s + 7. Let q(v) be the third derivative of v**4\/6 - 10*v**3\/3 + 118*v**2 - v. Calculate 3*q(x) + 10*u(x).\nAnswer: 2*x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 17*w. Let v(u) = -1003*u. Let o(s) = -119*l(s) - 2*v(s). Let r(k) = k. Give r(o(c)).\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l be -8*-2*2\/8. Let k be (6\/7)\/(l\/(-28)). Let u = 4 - k. What is the greatest common factor of 25 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + s**2 + 4)*(-25*s + 11*s**2 + 25*s) + 2*s**3 - s**4 - 2*s**3 + 0*s + s**4 + 0*s + (-2 + 2 + 2*s)*(-s + s + s**3) - 5 + 4*s**4 + 5.\nAnswer: 17*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 268383681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 2*d - 104 = -2*q, -q = -2*d - 211. Is d\/(-3) + (-2)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 0.8002096 millimeters?\nAnswer: 0.08002096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 120\/216*2\/(-15)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 39 + (86 - 23) - 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 76 + -12261499.89.\nAnswer: -12261423.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1716 and 169416?\nAnswer: 1863576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 308 + 3*a - 930 + 308 + 311. Let k(f) = -f - 1. Give -2*i(c) + 4*k(c).\nAnswer: -10*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cocc when four letters picked without replacement from {c: 12, o: 7}.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 62 = -5*d, 3*w + 16 = d - 0. Suppose 0 = -j - 3*u - 8, 11*j = d*j - 5*u - 39. Solve j - 27 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 39*d**2 - 586*d - 2. Let v be o(15). Let y(r) = -2*r**2 - 32*r + 26. Give y(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate i**2*q + 5*i**2 - 2*i*q + 986*i + 10523*q with respect to i.\nAnswer: 2*i*q + 10*i - 2*q + 986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(1539)*1 - -2*(sqrt(1539) + 2 - sqrt(1539))**2.\nAnswer: 8 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1869, 1870, 1871, 1872?\nAnswer: 1873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 554741.2 to the nearest ten thousand.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -q**3 + 3*q**2 + 2*q - 3. Let m(n) = 3*n**2 + 3*n - 4. Let v be m(1). Let t be h(v). Solve t*l + 8 = 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 2*u**3 - 62*u**2 - 31*u - 81. What is c(31)?\nAnswer: -1042","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 11970 and 4522?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00002988846 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 61348 and 2004?\nAnswer: 30735348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:39 AM and 1:05 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 50565403 (base 8) to base 13.\nAnswer: 229aa64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 954754713 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -927 = -2*w + 5*j, 0 = -j - 1. Suppose 3*k - w = x, -6*x + 4*x = -5*k + 768. 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 the first derivative of -g**2 + 173*g - 344 wrt g?\nAnswer: -2*g + 173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 + 22. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z**2 - 22*z + 54. Suppose -14*f + 283 = 17. Let a be u(f). Let c(y) = -y**3 - y**2 - 2. Determine c(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -q + 6 = 3*r, -15*r = -14*r + q - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 - 4)*(-6*a**2 + 7*a**2 + 6 - a**3 - 3).\nAnswer: 2*a**3 - 2*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 13124 (base 6) to base 3.\nAnswer: 2201221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -755523.0079 - -755572. Let q = 49 - n. What is q rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l**3 + 10*l**2 - 9*l + 12. Give u(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1493971685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 2*j**2 - j. Let r(g) = g**2 - g. Let k(y) = 4*h(y) - 7*r(y). Give k(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/39 (b) -2\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4819\/(-19276))\/((-1)\/(-248)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -592*w**2 - 267 + 377 + 1602*w - 108 wrt w?\nAnswer: -1184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(2\/17)\/(g\/(g**3\/g)))\/(g**(2\/9)\/((g*g\/g**10)\/g)) assuming g is positive.\nAnswer: g**(-1240\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 29 = -0*r + 5*k, -2*r - 5*k - 14 = 0. Solve -7 - r = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6*m + 223 - 85 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n**3 + 5*n**2 + 4*n + 3. Let l be f(-4). Let w = 4 - l. Let d(z) = 0*z**2 + 4 - w + 2*z - z**2. What is d(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -x**2 + 4*x + 1. Let z be i(3). Let c(w) = -2*w + 14. Let a be c(6). Suppose 14 = a*t - 4. Solve -t*s = -z*s - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.4, 8, -3\/2, 0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0005648 to 5 dps.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = v**3 - 5*v**2 - 4*v - 1. Let j be g(4). Let r = 62 + j. Suppose 0 = 4*p - r - 3. Calculate the greatest common divisor of 48 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is g in -g**4\/4 - 3729*g**3 - 27863039*g**2\/2 - 194493453*g - 2720352649\/4 = 0?\nAnswer: -7451, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10134?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -3*k - 89. Let z be (30\/k)\/(2\/(-8)). Solve y + 3*q = 3, z*y + 4*q + 5 + 2 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10001100 + 1100010?\nAnswer: 11101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - i = c - 59, -i - 34 = -c. Suppose 4*f - 7 = 2*l + c, 0 = l + 3. Let m(n) = n**3 - 7*n**2 - 2*n + 5. Is m(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 403 divide 396527094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 14603945 by -2920789.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1385 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 74 - 36 - (-36)\/6.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -2*v**3 + 63*v**2 - 640*v - 187. Determine b(24).\nAnswer: -6907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 2*x - 8. Let k be n(7). Suppose -26*m + 28*m = 336. Let q = m + -165. Sort q, -5, -1, k in ascending order.\nAnswer: -5, -1, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 252? (a) -2.2 (b) 6 (c) 2 (d) -84 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + 5 + -22 - -16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 52, 103, 152, 199, 244, 287, 328?\n\"Answer: -q**2 + 54*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 392210 is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -107\/21850 and 81\/3760.\nAnswer: 8215600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -2*t - 2. Let u(k) = -1 + 6 - 1 + k - 3. Give a(m) + 4*u(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4993 + -5907. Round v to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**2 + c. Let b(t) = -4*t**2 - 15*t - 1. Let q(s) = -b(s) - 5*f(s). Is q(7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 75*t + 192 = 43*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9, 11, 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 + -2. Let a be (i + 16\/4)*0. Solve 0*c + c = a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(5184)\/sqrt(2) - sqrt(18)) + (sqrt(180)\/sqrt(1440) - sqrt(18) - sqrt(18)))\/(3*(2*-4*sqrt(90) - sqrt(90))\/sqrt(10)).\nAnswer: -109*sqrt(2)\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = a**3 - 5*a**2 - 7*a + 5. Let y be x(6). Let v be y\/(-4)*0 - 0. Suppose -2*p + 1571 = 2*p + 5*g, 4*p + g - 1559 = v. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-52)\/(-39))\/((-4)\/84). Let w be ((-16)\/10)\/(v\/1750). Calculate the greatest common factor of 25 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by 1320353.\nAnswer: 4\/1320353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the third derivative of -h**6\/120 - 7*h**4\/12 - h**3\/2 + 34*h**2. What is the first derivative of s(g) wrt g?\nAnswer: -3*g**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eeqxeuxurueeuxuq. Give prob of picking 2 e and 2 q.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 8*c + 4. Let f(d) = d + 424. What is w(f(a))?\nAnswer: 8*a + 3396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3299123089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 18 and 2345906.\nAnswer: 21113154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:20 PM and 10:29 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -27 + 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -38.2 - -38. Let w = -0.02 + 0.05. Let o = 0.03 - w. What is the nearest to o in d, 3\/4, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 9173650 * 16.\nAnswer: 146778400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 143973\/224 or 642?\nAnswer: 143973\/224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -26, -103, -232, -413, -646, -931?\n\"Answer: -26*m**2 + m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 18380, 36156, 53932, 71708, 89484, 107260?\n\"Answer: 17776*w + 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 405152 (base 6) to base 14.\nAnswer: ba7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 + -171?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:42 PM and 9:30 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the first derivative of -11\/2*a**2 + 0*a + 2. Let n(d) = -2*d**2. What is o(n(v))?\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - 6*j + 84. Let c(w) = 54*w - 3. Let f be c(2). What is the highest common divisor of j and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/(-63))\/((256\/12)\/(-16))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4800009096.\nAnswer: 2, 3, 66666793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) be the second derivative of 2*g**7\/63 - 4*g**6\/45 - g**5\/5 + 4*g**4\/9 + 8*g**3\/9 - g. Factor m(i).\nAnswer: 4*i*(i - 2)**2*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 21077049 and 20934?\nAnswer: 3489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 4776601058.33 - 1.\nAnswer: 4776601057.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -3, -0.5, 18, -2\/45?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is (-8 - (-4 + -8))*3821\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 4*j**3 - 5*j**2 + 18*j - 3. Let b be m(3). Let o be 6\/(-15) + 64\/10. Suppose -o*w = -b - 96. Calculate the remainder when w is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 680545 and 655.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 2653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -190*z - 390 + 118 = -174*z for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 2*a**3 - a**2 - a + 1. Let x be o(2). Let i = -1315 + 570. Let p = 844 + i. What is the highest common factor of p and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 135824 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_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: Simplify ((m\/(m\/m**(-1\/6)))\/((m**6\/m)\/m))\/(m**(-2\/15)\/(m*m**(-6)*m*m*m)) assuming m is positive.\nAnswer: m**(-181\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 92?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 187*k - 4718. Let m(j) = 133*j - 3146. What is -5*a(u) + 7*m(u)?\nAnswer: -4*u + 1568","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1182?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 4847993417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-234)\/36)\/(1\/(-6)). Let t = o + -37. Suppose 1 = -2*c + 5*q + t, 18 = c + q. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:48 PM and 6:47 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -868*r + 47 - 115 + 68 as g*r + x and give g.\nAnswer: -868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -332 or -334?\nAnswer: -332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1100 + 0*h**2 + 3*h**2 - 4*h**2 + 138 - 56.\nAnswer: -h**2 + 1182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-156)\/(-15))\/(((-12)\/(-25))\/(200\/500)).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 58 = -3*y. Calculate the remainder when y is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 4 = 3*p + 2, 2*c + 4*p - 22 = 0. Let i(w) = -w**3 + 9*w**2 + 9*w - 10. What is the tens digit of i(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10571*g + 3 + 21160*g - 10589*g - 3 - g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 9*f**2 + 85*f + 39. Let v be j(-9). Let h = -8.18 - -1.48. Let u = -7 - h. Which is the third smallest value? (a) 4 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1323*j + 1040*j - 3021*j - 7396*j.\nAnswer: -8054*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*p + 5*p - 15*p + 4*p + 5*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 3*k - 56. Let h be d(17). Let t(u) = -u**3 - 2*u**2 + 5*u - 4. Is t(h) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -117144 (base 8) in base 11?\nAnswer: -28512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -12956*f**2*r - 2*f**2 + 1261*f wrt r?\nAnswer: -12956*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -5 times -0.38?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -38*o**3 + 4*o**2 - 19 - 5*o - 19 + 35*o**3 + 35 as l + y*o**3 + k*o**2 + z*o and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 206324 by -51581.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -602 + 620. Let l be -4 - (32\/(-24))\/(4\/j). Factor 8\/9*c - 2\/9*c**3 + 2\/9*c**l - 8\/9.\nAnswer: -2*(c - 2)*(c - 1)*(c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 + 3)*(59*v + 30 - 30)*(3 - 3 - 2).\nAnswer: -236*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 307949 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -509848*z = -509897*z + 931 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 17.4 + -17.40067. Round l to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h + 5*u - 56, -4*u = 5*h - 7*u - 150. Let r(o) = o + h - 5 - 13. Calculate r(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r and 2 x when four letters picked without replacement from {r: 3, x: 9}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (102 - 36760\/360)*87.\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 27 by -1331408.\nAnswer: -27\/1331408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is ((-10)\/20)\/((-1)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the third derivative of h**5\/60 + h**4\/2 + 8*h**3\/3 + h**2. Let z be w(-11). Differentiate -1 - 3*u**3 + z - 7*u**3 + 0*u**3 with respect to u.\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1141*c**3 + 78*c**2 - 300*c**3 - 843*c**3.\nAnswer: -2*c**3 + 78*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -q + 4312 = -74*g - 0*q + 4*q, 26*q = -2*g + 28*q - 124 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -584, -588, -594, -596, -588, -564?\n\"Answer: n**3 - 7*n**2 + 10*n - 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the second derivative of -z**6\/360 + z**5\/24 + z**4\/8 + z**3\/3 - 3*z. Let g(b) be the second derivative of k(b). Suppose 6*n - 10 = 4*n. Give g(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + 19 + (-69 + 41 - -40)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100000010000010010100101001111 + -101?\nAnswer: 100000010000010010100101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*i**2 - 25*i**2 + 9*i**2 + 220 - 220 + 9*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*a - 3*a + 30 = 0. Let l = a - -14. Suppose -d - d = -l. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000348851 rounded to seven dps?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*o**3 - 2*o**3 - 3*o**3)*(6*o**2 - 2*o**2 - 2*o**2) + (-6*o**2 - o**4 + 6*o**2)*(o - 6*o + 2*o) - 260*o**5 - 669*o**5 + 290*o**5.\nAnswer: -634*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -k - 3*k**2 + 2*k**2 + 1615*k**3 - 3830*k**3 + 1138*k**3 as b*k + m*k**2 + s*k**3 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 - 3411?\nAnswer: -3405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 13509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3475645, 6951463, 10427295, 13903147, 17379025, 20854935, 24330883, 27806875?\nAnswer: 31282917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(91)\/(sqrt(14)\/sqrt(8))*-6)**2 + -1 + (0 + sqrt(1872)*-1)**2.\nAnswer: 3743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -105*q**2 - 110*q**2 + 215*q**2 + 17*q**3.\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -8\/5, 5, 23, 4\/15, -0.08?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9 - -48. Suppose m - n = -2*m. Suppose 4*v = -4*j + 3*v + m, 0 = 5*j - 3*v - 45. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmvjmcmvvmcccmc. Give prob of picking 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 313201322 (base 4) to base 11.\nAnswer: 145983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be 18\/(-27)*(-54)\/4. Suppose h*i = 5*i. Let k(s) = 0 + i*s - 2 + s + 7. Calculate k(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*q = -2*q + 72 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1330310203 (base 4) in base 3?\nAnswer: 221222022211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 223 + -214.37. Let f = q + -9.63. What is the nearest to 33 in f, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 5 + 40 = -3*w, -2*y - 20 = w. Let p be 39\/9 + w\/(-21). Solve 2*u = -2*a + 2, -19 = -p*a + u + u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 186297407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d**2 + 2*d - 21. Let p be g(-16). Suppose 1353 - p = -10*h. Let m = -100 - h. What is the smallest common multiple of m and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -64 + 68. Let i be (0 - (1 + 0))*-3. Solve -i*a + 2 = -p*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -21 + 18. Let p = 17 - 18. What is the second biggest value in f, -2\/15, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3906 is divided by 149.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.01, -6, -1, -5, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -20\/7*s - 1\/7*s**4 - 6*s**2 - 12\/7*s**3 + 75\/7 = 0.\nAnswer: -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -816, -5372, -17754, -41874, -81644, -140976, -223782?\n\"Answer: -652*g**3 - g**2 + 11*g - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 12 - 6. Let s(j) = 2*j - 9. Let o be s(i). Suppose 3*k = u - 2, o*u - 2*k - 75 = -2*u. Solve 2*q = 6*q + y + u, -5*q - y - 22 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 59*t - 51*t = 96. Suppose 2*w + 16 = -2*w. Let h(v) = -2*v**3 - 5*v**2 + 3*v. Let i be h(w). What is the highest common factor of t and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o + 3963 = 3953 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -3*c. Suppose -2*q - 7 = h + 10, 2*q + 4*h + 20 = 0. Let b be y(q). Let k be (-2312)\/(-24) + 2\/(-6). What is the highest common factor of b and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 7*v - 13 - 4*v - 2 - 4*v. Let h be k(-15). Solve h = b + 5*f, 3*b - 2*f + 11 = -6*f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/((b*b**(-1)*b)\/b))\/b**(5\/2))\/(b**3)**(-7) assuming b is positive.\nAnswer: b**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 459337356.\nAnswer: 2, 3, 12759371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 48719700?\nAnswer: 2, 3, 5, 54133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1330.8 - -1330.9. Which is the nearest to -2\/19? (a) 4 (b) r (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28 + -4269093.2461113.\nAnswer: -4269065.2461113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11*t + 15*t + 2*t**2 - 2*t**3 - 6*t to w*t + k + y*t**3 + b*t**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u + 4. Let n be 27\/(3\/(-1))*3\/(-9). Let z be p(n). What is the greatest common divisor of 56 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the second derivative of 3*c**8\/14 - c**6\/10 + 23*c**4\/12 - 2*c. Find the third derivative of l(o) wrt o.\nAnswer: 1440*o**3 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1078 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1631, 3267, 4903, 6539?\nAnswer: 8175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - -6) + 25 + -40.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (728\/(-720) - -1)\/(((-3)\/27*-3)\/(-1))?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q + 105. Let b be w(21). Suppose 0 = -3*f - 3*y + b, 0 = 3*f - 3*y - 31 - 35. Solve 2*p + 2*n - 11 = -p, -5*p - 5*n + f = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 97713447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**11*z*z**(-4))\/(z*z*z**28*z*z\/(((z\/z**4)\/z)\/z)) assuming z is positive.\nAnswer: z**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*s**6 + 12352804*s**3 + 71187189*s**2?\nAnswer: -480*s**3 + 74116824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 17556569 greater than or equal to 17556568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 + 3. Let x = -0.5 - 0. Let d = 0 - x. Which is the nearest to 1? (a) o (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (sqrt(80)*2 - sqrt(20))\/((sqrt(420)\/sqrt(7))\/sqrt(6)) + 1 + -5)**2.\nAnswer: -48*sqrt(2) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 4 + -1 + 368\/(-128)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(704) + -2*(sqrt(704) + 1 + sqrt(704))**2 + sqrt(704) + 1*sqrt(704)*1.\nAnswer: -5634 - 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 = -l + 28 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v + 2*m = 12, -m + 12 = 31*v - 35*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-199836)\/103090 - 7\/(-5).\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6 - -8. Let y(f) = -f - 2. Let t be y(d). Which is bigger: -0.1 or t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1200 = -6*n + 3*n. Let j = -442 + 171. Let i = j + n. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -125.096 rounded to zero dps?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 77*d**2 - 27*d**2 - 27*d**2 + 9 to the form w*d + c*d**2 + q and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2 + 2. Suppose 390 = -5*f - b*f. Is (-3 + 1)\/(4\/f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 570*q + 130 + 188 = 623*q. Solve 4*b = d - 12, -d + 7*b + q = 5*b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2597\/28 - 2\/(-8). Suppose v + 0 = k. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14627 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 323853 is divided by 788?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide -1 - ((-6)\/4 - (-294)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2 - (-1 - 20\/16). Suppose 0 = 6*i - 21 - 27. Let v be ((-6)\/i)\/(1140\/160). Sort -3\/2, v, j in ascending order.\nAnswer: -3\/2, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:07 AM and 6:49 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 108\/3969*42*(1*5 + (35 - 41)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v - 20 = 0, -t + 20 = 4*t + v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 34 - 19. Let c be (6\/(-4))\/((-6)\/140). Calculate the highest common factor of c and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 34 (base 5) in base 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -2076 (base 10) to base 15\nAnswer: -936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6 - -10. Let u = w - 1. Let t be ((-55)\/(-110))\/(15\/(-2)). Which is the smallest value? (a) -1\/4 (b) u (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -11 divided by -27\nAnswer: 11\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be -8*(-2 - 20\/(-8)) + 24. Suppose u*c - 4 = 18*c. Solve c*w + 2*w - 1 = -d, 0 = 4*w - 5*d - 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 209 = -20*t. Suppose -41*u + t*u = -6450. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*m + 0*m + m)*(2 - 7 + 13).\nAnswer: -40*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a + 3*g - 20 = -0*a, -4*a + 5*g = 21. Calculate the remainder when 12 is divided by a + 10 - 104\/26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(1\/4)*t*t\/((t**(-1)\/t)\/t))**(-6\/11) assuming t is positive.\nAnswer: t**(-63\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(8064)*3)\/(sqrt(8) - (sqrt(8) - 3*sqrt(200)) - sqrt(8) - 2*sqrt(512)).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*m = 17*m - 21. What is the tens digit of 333 + (m - 3) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*l + 484000 = -5*l. What is l rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 4 - 8 = 0. Let r be 2\/((-3)\/((-30)\/4)). Suppose g + 16 = r*i, h = 5*i - 2*i + 5*g. Solve 0 = i*v - v + x + 10, 4*v + x = -16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 18*q**2 + q + 28. Does 62 divide t(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 23 - 18. Suppose n*u = d + 234, -2*u - 4*d = -102 + 26. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 271b0d + 14?\nAnswer: 271b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4459928.\nAnswer: 2, 11, 59, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*j = 16*j - 28 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2\/8 - 1)*28. Let l = 0 - x. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (a - 5*a + 2*a)*(-4 + 0 + 6) - 5*a + a + 2*a - 3*a + 4*a + a - 1986*a + 15494 - 15494.\nAnswer: -1990*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 6 - 4 - 1484*d + 1489*d. Give c(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 2, c: 11, u: 7}. Give prob of picking 3 c.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 324*c + 54*c - 951*c = 1072*c - 133245 for c.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-1\/42)\/n*n\/((n*n**16)\/n))**(5\/3) assuming n is positive.\nAnswer: n**(-3365\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = z**2 - 2*z + 3. Let b be -1 + 0 + (-16)\/(-2). What is the units digit of d(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3380 by 13.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -2*a**3 - 2*a**2 + 2*a - 2. What is n(3)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*p + 80 + 94 = 0. Let a(r) = r**2 + 21*r - 41. Let h be a(-23). Let w be (-176)\/(-3) - (h + (-52)\/12). What is the greatest common divisor of w and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -23190133 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 7.744545kg in milligrams?\nAnswer: 7744545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify t\/((t\/(t**(-2\/7)\/t))\/t)*t**(-5)\/t*(t**(-1\/2)\/t)**(48\/7) assuming t is positive.\nAnswer: t**(-116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4 + 22. Let f(b) be the second derivative of b**5\/20 - b**4\/4 + 3*b**2\/2 - 14*b. Let j(v) = 4*v**3 - 13*v**2 + 13. What is l*f(u) - 4*j(u)?\nAnswer: 2*u**3 - 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -520 in -1\/7, 3\/2, 5, 1\/5, -0.102?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the first derivative of 2*q**3 + 2*q**2 + 4*q - 226. Let n(p) = -p**2 - p. Determine -l(o) - 4*n(o).\nAnswer: -2*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 2*w**2 - 12*w + 22. Let p be b(3). Solve 5*m = p*r - 9, 1 = -3*r - 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - x - 1 = 0, 13*q - 15*q = -4*x. Suppose 5*o + q*o - 63 = 0. Solve -5*v - 2*u - o = 0, -4*u - 3 = 3*v - 8*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - (-2 + -7 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 5173*s**3 + 26*s + 42026. Let y(p) = 3880*p**3 + 20*p + 31519. Let c(h) = 10*v(h) - 13*y(h). Differentiate c(r) with respect to r.\nAnswer: 3870*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = z**3 - 5*z**2 - 13*z + 11. Let h be d(8). What is the highest common divisor of h and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c**2\/5 + 1461*c\/5 - 174042\/5 = 0.\nAnswer: -586, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + -6 + 5 + -7 + -18 + 9.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 259414055 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -3*d**2 + d + 2. Let g be q(-3). Let n be (200\/(-12))\/((-16)\/(-24)). Let m = n - g. Solve 0 = -5*f + m*f + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + -4*(2*(2 + sqrt(192)) + sqrt(192) - (5 + 3*sqrt(192))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q**2 - 9*q + 10. Let o be 5\/((-4)\/(-6)*(-21)\/(-28)). Let u be x(o). Solve -4*b = b + u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/21484 and -125\/6409044.\nAnswer: 262770804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(209) + ((sqrt(209)*-1 - sqrt(209)) + sqrt(209) - sqrt(209) - sqrt(209))) - sqrt(209))\/((sqrt(121)*2)\/sqrt(11) - sqrt(11)).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -v**2 - 5*v - 1. Let w be z(-4). Let q = 17\/36 - 2\/9. Which is the smallest value? (a) q (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (75\/25*(1*2)\/12)\/(225\/20)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 21315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -21*a - 607. Let u be r(-10). Is -395 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 585 divided by 9?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f = -3*f + 48. Calculate the greatest common factor of f and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/(8\/(-12)) - 80\/(-5). Suppose 3*p - j = -2*p - x, 2*p + 3*x - 18 = 0. Solve 0 = -p*g + 2*c + 11, -5*c - 13 = -3*g - c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j, 1 h, and 2 d when four letters picked without replacement from ddpddhdddhddddjdrdd.\nAnswer: 91\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 74727.65 litres?\nAnswer: 74727650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4193 a factor of 112020188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = 5*f - 6*f - 28, 3*d + f = 32. Suppose 34 - d = a. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -3*(-1 + sqrt(325) + sqrt(325) + sqrt(325))*-1 + -4*(4 + -5 + sqrt(325)))**2.\nAnswer: 150*sqrt(13) + 8134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) be the third derivative of g**6\/160 + 201*g**5\/80 - 84*g**2. Solve a(x) = 0.\nAnswer: -201, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -4\/5 (b) -2 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(2\/13)\/(g*g**(2\/5)))\/((g**(-2\/7)*g)\/(g*g**(2\/3)*g)) assuming g is positive.\nAnswer: g**(964\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -13303041 (base 5) in base 7?\nAnswer: -1100630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o + 4*v + 19 - 11 = 0, -v - 6 = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 231909.9 rounded to the nearest one hundred?\nAnswer: 231900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 512 times 11870?\nAnswer: 6077440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c**3 - 2883*c**2 - 691197*c + 694083 = 0 for c.\nAnswer: -481, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -7 - -6. Let s = d + 11. What is s rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -4\/23 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (3\/(-6))\/(-3*1\/9)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + x)*(0*x + 3*x - x) - 3*x - x**2 + 3*x + (-13*x - 44*x + 9*x)*(1 - 1 + 4*x) + (-3*x + x + 0*x)*(-5*x + 2*x + 5*x).\nAnswer: -195*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1555680 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 2*k**5\/5 + 8*k**4\/5 - 1246*k**3\/5 - 10204*k**2\/5 + 55352*k\/5 - 60112\/5 = 0.\nAnswer: -17, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 58347 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -58985*i**3 + 30386*i**3 + 31806*i**3.\nAnswer: 3207*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 10233 divide 1090489878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 65745 and 1205325.\nAnswer: 3615975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -2*x**2 + 29*x - 2. Calculate a(15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -0.03459?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 32.98 + -32.64147. Round x to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 1, 26, -2.\nAnswer: -2, 1, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -4, 1\/5, 0.09, -3 in decreasing order.\nAnswer: 5, 1\/5, 0.09, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.52 - 0.02. Sort o, 0.06, 3 in descending order.\nAnswer: 3, o, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 47*h**2 + 6*h**3 + 18*h**2 + 4*h**2 + h**2 - 2*h**3 as x*h + l + n*h**3 + z*h**2 and give z.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -15*x**3 + 376*x**2 - 22*x + 16. Calculate q(25).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16876006 divided by 59.\nAnswer: 286034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of -570 and -190083.\nAnswer: 108347310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m be 765\/9 + 2 + -4. Suppose -h + 4*b + 88 = 0, m = h + 9*b - 8*b. Calculate the highest common divisor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = 4*y + 30, 50 = 5*u + y - 3*y. Calculate the remainder when 67 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5656546 to the nearest integer?\nAnswer: 2378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 + 229a0232?\nAnswer: 229a0234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 4, y: 2, e: 2, c: 2, t: 4}. Give prob of sequence ey.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 2*o**2 + o - 1. Let t be d(1). Suppose 0 = -3*q - t - 1. Let n = 12 + q. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from srssfsuiis.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1913 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -15350198, -30700377, -46050556, -61400735, -76750914, -92101093?\n\"Answer: -15350179*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -799*w = -807*w + 8. Solve -g = -2*c - 0*c, 3*g - 5*c = -w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j, 1 o, 1 h, and 1 w when four letters picked without replacement from {o: 6, k: 1, w: 2, h: 1, j: 2}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 103a784 (base 11) to base 16.\nAnswer: 1beb65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, w: 3, d: 5}. What is prob of sequence vd?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of -11 - (-132003)\/(4 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 26 = -14*c - 114 + 14 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 3, w: 6, s: 1, h: 4}. Give prob of sequence hww.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 250 minutes before 4:28 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 4*w - 35 = 0, 2*q - w + 6*w + 15 = 0. Let d = 226 - -159. Let l = -385 + d. What is the third smallest value in l, -0.3, 1\/6, q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -s. Let q be ((0 - -1) + 2)\/(-1). Let o be i(q). Let v be (-178)\/330 - (-106)\/(-1749). Put v, 1, o, 1\/4 in ascending order.\nAnswer: v, 1\/4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 2, b: 2, t: 1, f: 2, q: 1}. Give prob of sequence fqfq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-26 - (-63 - -44)) + (-50 - 7 - -5)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1254856619 to the power of 1\/4, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 2115, 16875, 57051, 135387, 264627, 457515?\n\"Answer: 2124*q**3 - 36*q**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the third derivative of u**6\/120 - u**5\/15 - u**4\/12 + u**3\/2 + 4*u**2. List the prime factors of i(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the third derivative of -n**6\/24 - 13*n**5\/30 - 3*n**4\/4 + 4*n**3\/3 - 2*n**2. Let t(q) = q**3 + q. Let v(c) = -2*h(c) + 4*t(c). Factor v(a).\nAnswer: 2*(a + 2)**2*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.02559211654 to 3 decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 4 - 1)*(-4 - 3 + 5)*(-6*c**2 + 2*c**2 + 2*c**2).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 2*d + d = -14, -d = -3*b + 31. Suppose 3*r - b = 72. Suppose 0*c - n = 2*c - 109, n - 161 = -3*c. What is the remainder when c is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**2 - 14*a - 40. List the prime factors of p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -10*f - 4. Let j(o) = 21*o + 7. Let w(m) = 3*j(m) + 5*r(m). What is w(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -120*u*y**3 + 271738*u*y + 2*u - 8765*y**4 wrt y?\nAnswer: -720*u*y - 105180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -i**3 + 3*i**2 + 4. Let c be m(3). Suppose -c*t + 3*p - 12 = 0, 4*t - 5*t = p - 4. Suppose t - 3 = -3*h. Solve 24 + h = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 41 by -68.\nAnswer: -41\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -3*t - 4 - 3*t + 1. Calculate the remainder when d(-4) is divided by (-184)\/(-16) + (-1)\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 523+51\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 66924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -15594\/7 - -2230. Let c be (-24)\/21*3\/(-12). Factor 32\/7 + c*j**2 - k*j.\nAnswer: 2*(j - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5264 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2940 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: Convert -9 (base 14) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4.04 - 0.04. Suppose 3*o + 0*o = 9. Which is the closest to 1? (a) 2\/11 (b) w (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14901*y + 15263*y + 11584 = 0 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) be the second derivative of u**6\/6 - 2*u**4\/3 + 13*u. What is the third derivative of o(y) wrt y?\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1852, -7114, -15746, -27634, -42664?\nAnswer: -60722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1636984.\nAnswer: 2, 204623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = -7 - 1. Suppose 14 = 5*q + k, 2*k + k - o = 5*q. Let v(j) be the second derivative of -j**3\/2 - j. Determine v(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2473.\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10568932 is divided by 108958.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {x: 2, z: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 14*a + 804. Calculate y(-56).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2257736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 2440 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 102, 120, 136, 150, 162?\n\"Answer: -i**2 + 21*i + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 1, 10\/519, 2\/5, -36?\nAnswer: 10\/519","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 16146 = 3*c, 16*c + 2*b = 15*c + 5382. What is the remainder when 99 is divided by (-20)\/(-35) - c\/(-63)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c**5 + 7692515*c**4 + 15385050*c**3 + 10*c**2 - 15385045*c - 7692525 = 0. Calculate c.\nAnswer: -1, 1, 1538505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 1 + 5 + (sqrt(5) + 0)*4 + (sqrt(80) - (-1 + sqrt(80)*2 + sqrt(80)) - (-4 + (sqrt(80)*-2)**2)).\nAnswer: -309 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n**3 - n**2 - 5*n + 2. Let o be a(2). Let u(d) = -d**3 - 2*d**2 + 10*d + 10. What are the prime factors of u(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*q - 4*q + 4*q + q to the form j*q + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**3 - 19*f**2 + 18*f - 38. What is b(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -2984611000 rounded to the nearest one million?\nAnswer: -2985000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 3 + -58 + 58?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -40 + 54. Let f be (-4)\/14 + ((-148)\/y)\/(-2). Which is the third smallest value? (a) 0.1 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1 + 4. Let n be 1\/(1\/a - 0). Put -4, 0, n in decreasing order.\nAnswer: n, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = g**3 + 7*g**2 - 4*g - 3. What is the remainder when (-758)\/(-5 - (21 + -16 + (-140)\/15)) is divided by t(-6)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -109\/420 and 13\/((-455)\/154)*10.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:43 PM and 4:32 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1538 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 2*q + 18. Let p(v) = -v**2 + 7*v - 6. Let x be p(6). Let j(l) = 0*l + x + l + 1. Give j(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -2*q**2. Let l(c) = c**3 + 3*c**2 - c + 1. Let f be l(-3). Let n(w) = f*w + 4*w + 3*w. Determine u(n(a)).\nAnswer: -242*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -0.2, -5, 2\/33, 1.27, 0.1 in increasing order.\nAnswer: -5, -1, -0.2, 2\/33, 0.1, 1.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*y + 944 - 804 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let -3*a**2\/4 - 54*a - 2013\/4 = 0. Calculate a.\nAnswer: -61, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77)*1*2*-3*5)\/(-1*sqrt(11)*4 - sqrt(66)\/sqrt(6)*-5).\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**3 - 10*t**2 - 9*t - 88. What is w(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 296*o + 1. Let r be d(1). Suppose 0 = -0*h - 4*h + 680. Let l = r - h. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3.7 + -3.71. Let o = 0.5 - 0.46. Let q = x + o. Which is the smallest value? (a) q (b) -3\/8 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the first derivative of -2*x**3\/39 - 284*x**2 - 524264*x + 5912. Factor q(z).\nAnswer: -2*(z + 1846)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 25068\/119 - 1482\/7. Calculate the common denominator of -3\/10 and y.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -16 - (-5 + 0 + 4 + (77 - 74)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -107, -0.1, 0.5, 0.4, 21 in descending order.\nAnswer: 21, 0.5, 0.4, -0.1, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w**3 - 5 - 1337*w - 11 - 14*w**2 + 1379*w. Let f be n(10). Solve 2*p + 4 = 4*r - 12, 0 = -f*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/4 of a hour in minutes?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 149120023?\nAnswer: 13, 882367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0*-20455\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 110374846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 200 and 712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 200276777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1*5\/30)\/(1134\/(-252)).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 109 + -14. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the first derivative of -b**3\/3 + 9*b**2\/2 - 2*b - 5. What is the smallest common multiple of 4 and q(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 19029 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*i - 21*i + 36*i - 362*i**2.\nAnswer: -362*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -d**3 + 10*d**2 - 7*d - 3. Let x be g(9). Suppose -5*i = -0*i - x. Which is the second biggest value? (a) -1\/2 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(343) + 4*sqrt(343) - sqrt(7)) + sqrt(343) + 4)**2*6.\nAnswer: 1968*sqrt(7) + 70698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 243202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -4952286*z**2 + 4952266*z + 20.\nAnswer: -2*(z - 1)*(2476143*z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-205 - 214 + 464)*(20 + 1 + t - 8).\nAnswer: 45*t + 585","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(152)*-2 + sqrt(152))*1)\/sqrt(8).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*i + 7 + 11. Suppose -10*z = -i*z - 1200. Let n = -205 + z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -5*n**2. Let u be ((-2)\/3)\/((-1)\/3). Let i(g) = -2*g**2 + 4*g**u - 3*g**2 + 0*g**2. Calculate d(i(q)).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 - -135?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 1235*v**2 + v + 464. Is f(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 83919 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 18, -232127 in ascending order.\nAnswer: -232127, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*w = -328 - 64. Which is smaller: w or 134\/5?\nAnswer: 134\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -7*5*1\/(-7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1043971 - 2330143163\/2232. Calculate the common denominator of 20\/63 and t.\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-8)*q*q**5\/q)**(-1\/6) assuming q is positive.\nAnswer: sqrt(q)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1105713989?\nAnswer: 1105713989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = 136 - 138. Which is the nearest to 0.2? (a) -1 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101010010100101111010001101 - 11?\nAnswer: -101010010100101111010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = -62 - -115. Suppose 40 = 3*d - l. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -561, -562, -563, -564, -565, -566?\n\"Answer: -o - 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gfr when three letters picked without replacement from {g: 2, f: 7, r: 1}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3 or 2.08502?\nAnswer: 2.08502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -4*j**3 + 3*j**2 + 3. Let s(q) = -q**2 + q**2 - q - 5 - q**2 + q**3 + 4. Let f(i) = -a(i) - 3*s(i). What is the second derivative of f(n) wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i = 2*i + 2*o + 64, 0 = -2*i - 3*o. Solve -5*m = -3*a + i, -4 = m + 3*a - 2*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 811306 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -y + 21, 0 = s + 2*s + 3. Suppose 3*h + 3 = -2*b - 18, h - b = -2. Let r(q) = q**2 - 5*q - 2. What is the remainder when r(h) is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7.1 + -7. Suppose -4*o = -5*h + 20, -1 + 5 = h. Which is the nearest to o? (a) 2 (b) 2\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 162 from -526106044112.\nAnswer: -526106044274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11 - -8. Suppose -2*u = -0*u - 768. Let w be (s\/(-2))\/(8\/u). Calculate the highest common divisor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - t + 4*t - 14 = 0, 4*y - 8 = 4*t. Let h(j) = y*j**2 - 3*j**2 - 3*j**2. Let s(d) = d**2. Calculate h(s(f)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 616020 to the power of 1\/2, to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/670 and -85\/268?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 20626804 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -105043 + 1364?\nAnswer: -103568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -33*n + 7. Let f = 1274 + -1271. Let x(q) = 17*q - 3. Calculate f*c(u) + 7*x(u).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/11 (b) -10\/7 (c) -123 (d) -2.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 9, -1\/13, -10.79 in decreasing order.\nAnswer: 9, -1\/13, -10.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1185813743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 145991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1127*i*k**4 - 95*i - 7 with respect to k.\nAnswer: 4508*i*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2.053 - 0.017. Let o = c - 0.036. What is the nearest to -0.1 in -0.4, o, 3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -3\/2 (b) -5 (c) 1 (d) 1\/2 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 19925107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1\/7, -2, -13\/29, -0.71, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the first derivative of -u**2\/2 + 49*u + 3. What is the remainder when k(7) is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -2\/13 (b) -1\/6 (c) 0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n**2 + 3*n + 2. Let k be z(-2). Let d = 0.6 - -3.4. Which is bigger: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0051929519 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 626535240 and 906?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -615 = -s - 4*s. Let q = 23672 + -23386. Let p = q - s. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (9\/3)\/6*(-1)\/(-3). Let d be (-2)\/6 + 153\/54. Let p = 2 - 1.7. What is the nearest to p in -3\/4, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 185958543 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 139 + -53881.0165402?\nAnswer: -53742.0165402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out -572729 - -2.3.\nAnswer: -572726.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the second derivative of x**3\/6 + x**2\/2 - 6*x. Does 6 divide c(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 762019965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Total of -780 and -0.043.\nAnswer: -780.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8334706?\nAnswer: 2, 251, 16603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4264*c - 5082*c - 1 + 1.\nAnswer: -9346*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**(-1\/5))\/(t\/((t*t**(-2\/7))\/t)))\/((t\/((t\/(t**(2\/13)\/t))\/t))\/t**3) assuming t is positive.\nAnswer: t**(1074\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -a**2 + a**2 + 2*a**2 + (-1 - 2*a**2 + 1)*(0 - 3 + 5) - 2*a**2 + a**2 + 7*a**2 to d*a**2 + c*a + j and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11690596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 5*p - 43 = -4, -2*p = -6. Suppose 3*t = 2 - 8. Put t, 0, q in descending order.\nAnswer: q, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -19*k**2. Let y(c) be the third derivative of c**5\/30 + 3*c**2. Determine y(n(v)).\nAnswer: 722*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p**2 - 422*p + 31268. Give l(96).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 20*p + 2. Let d be f(2). Suppose 0 = 2*g + g + d. Let a be (-2)\/g + 203001\/(-7). Round a to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -88 - -93. Let n(o) = -o**3 + 4*o**2 - 2. Let i(y) = -y**2. Give l*i(h) + n(h).\nAnswer: -h**3 - h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 139 minutes after 10:38 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - i - 4807 = 0, 2*i - 3852 = -4*f + 6*i. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*f*p*s**2 - 7*f*p - f - 2253*p*s**2 - 531*p - 70*s**2 - 6 wrt s.\nAnswer: -4*f*p*s - 4506*p*s - 140*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 4*u**3 + 3*u**2 - 1. Let h(y) = 9*y**3 + 5*y**2 - 1. Determine -3*h(x) + 5*p(x).\nAnswer: -7*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -215762*g. Let t(c) = -51*c**2. What is h(t(l))?\nAnswer: 11003862*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -193 + 193 + 48*x**2 + 0*x - x**2 + 0*x + (2*x + 0*x - 3*x)*(-6*x + 2*x + 2*x) - x**2 + x**2 - 2*x**2.\nAnswer: 47*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -196 times -24130?\nAnswer: 4729480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -373, -370, -367, -364, -361, -358?\n\"Answer: 3*b - 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from buubusubbs. Give prob of sequence buu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (46 + 1 - (3048 - 2954)) + -11?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 828 and 483?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + -4 + -1 - (0 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2616*n - 2465*n - 682671 = 0. What is the second smallest value in 0.2, 2\/17, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p = 2*p + 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -15 + -1411002?\nAnswer: -1411021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 230539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -41 - 34*d - 24 + 49 to n + h*d and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes before 2:39 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x*x*x\/(x\/x**(-8\/5))*x)**(-4\/11) assuming x is positive.\nAnswer: x**(-48\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3855754 to the power of 1\/2, to the nearest integer?\nAnswer: 1964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let -h**2\/6 - 924766*h + 5548599\/2 = 0. Calculate h.\nAnswer: -5548599, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*(c*(c\/(c\/(c**2*c)))\/c)\/c)**(-35)\/(((c**(-1\/11)\/c)\/c)\/c*c*c**(-2\/7)) assuming c is positive.\nAnswer: c**(-7902\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 157*n**3 + 8 - 5*n - 8*n**2 - 80*n**3 - 78*n**3. Determine j(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*x - 4 = -46. Let f be ((-1 - 1) + 0 - 1)*x. Suppose -f = -2*n + 64. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 8980*i**2 + 3154*i - 1 wrt i?\nAnswer: 17960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 428*j. Let i(g) be the third derivative of 7*g**5\/60 - 956*g**2. Determine i(n(f)).\nAnswer: 1282288*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 43.3726206 to 3 decimal places.\nAnswer: 43.373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + (-5 - (2 - -5)) - 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 188 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find b such that b**3\/3 + 411379*b**2 - 7404853*b\/3 + 2056905 = 0.\nAnswer: -1234143, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 36864 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -0.0067, 1\/8, 5 in increasing order.\nAnswer: -4, -0.0067, 1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1800 and 433260.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify c\/c**(23\/3)*c**(-6)\/c assuming c is positive.\nAnswer: c**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -17 (b) -11 (c) -3 (d) 16 (e) -2 (f) -72 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/8 bigger than -412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 95.90842 decades to millennia.\nAnswer: 0.9590842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 2*h + 10 = 0. Let k = h + 8. Solve -3*o - k = 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 2*t**2 + 4*t + 5. Let s be b(-2). Suppose -s*k + 224 + 25 = -w, -k - 2*w + 52 = 0. What is the remainder when 92\/((3 + -8 + 3)\/(-2)) is divided by k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:20 AM and 9:57 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = 5 + 3. Let y = 5 + -2. Suppose w + 5*j = -4*w + 75, 0 = -5*w - j + 91. Solve -i*p + 24 = q - 8*p, 0 = q - y*p - w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -38.17 - -1.37. What is f rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -58\/2561985 and -141\/10817270.\nAnswer: 97355430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000006064 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.308739 rounded to three decimal places?\nAnswer: -0.309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 171 - 171 - 11*l**3 + 3*l**3 + l**3 - 5*l**3 - 2*l**3 - 2*l**3 + 2*l**3 + (4 - 4 - 2*l**2)*(-2*l + 7*l + 0*l) to j*l + x + h*l**2 + v*l**3 and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0018928 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 2*g + 28 = 0. Let p = g + 6. Let u = -22349 + 22397. What is the remainder when u is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 4, 352, -191, 0.\nAnswer: -191, -1, 0, 4, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 22000122 + 20113?\nAnswer: 22020301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14 - 13 - ((-4 - 1) + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hlje when four letters picked without replacement from {l: 1, j: 3, h: 4, e: 2, v: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/511? (a) -0.4 (b) 4 (c) -0.15 (d) 2 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -54 - -67. Let g(z) = 15*z - 2*z - 9*z - 12 + w*z. Let l(m) = -17*m + 13. Let p(r) = 4*g(r) + 3*l(r). Differentiate p(q) with respect to q.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -2*o + 11. Calculate the smallest common multiple of 8 and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -r**2 - 42*r + 106. What is b(0)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from yfsfsyscscsffcf.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -910 equal to -909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 525073998 + -306203998. Round w to the nearest one million.\nAnswer: 219000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12*2\/52*156\/24?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7 + 7. Put -2, -4, m in ascending order.\nAnswer: -4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + (-11 - -13 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -179 - -104. Let i be (-120)\/w*(-2 - (-98)\/4). What is the first derivative of -20 - 5*c**2 + 0*c**2 + i wrt c?\nAnswer: -10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1317*k = 951*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2042 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Are -2696 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = -q + 16, -3*r = -8*r - 20. Suppose 5*d - 3*y - 1 = 101, 4*y = -2*d + q. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**3\/7 + 3590380*r**2\/7 - 1611357158424*r\/7 + 3222699955344\/7.\nAnswer: -2*(r - 897594)**2*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 27 + (-18 - 44 - -25)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4\/20 + (-45)\/100. Which is the biggest value? (a) i (b) 0 (c) 0.3 (d) -2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 341359?\nAnswer: 29, 79, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -75\/7368079 or 0?\nAnswer: -75\/7368079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 2*f = 7, -2*v - 3*f + 10 = -f. Suppose v*d - 56 + 176 = 0. Let t = 56 + d. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n**3 - 11*n**2 + 19*n - 4. Let c = 4 + 5. Let z be p(c). Solve z*a - 5*j - 20 = 0, 3*a - 5*j - 8 = -4*j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify c*(c*c**2*c)\/c*c\/c**(-1\/2)*c\/c**1*c\/(c\/(c*c**(3\/2)))*(c**(-2\/7))**(-12)\/(c**(-2\/5))**23 assuming c is positive.\nAnswer: c**(722\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the third derivative of -305*d**4\/12 - 187*d**3\/3 - 979*d**2. Find the first derivative of f(n) wrt n.\nAnswer: -610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 2*2\/2824*(-10 + 1180\/(-30)) and 61\/33.\nAnswer: 11649","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36207558 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**3 + 17*s**2 + 51*s + 228. Calculate the remainder when 413 is divided by f(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 350 - 329. Suppose -r*w + 175 = 14*w. Suppose 0 = -x + 2*b - 9, 2*x + 2*b + b = 17. Solve -2*o - w = -t, -o - x = 2*t - 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from mkg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -c**3 - 20*c**2 - 53*c + 178. Let d be w(-16). Solve -d*n - 42*n - 44 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30580 - 4*g - 2*g - 30564 + 4*g + 61294.\nAnswer: -2*g + 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -28*l**2 + 1068*l - 116. Let n be r(38). Is -2 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1973253.773 rounded to the nearest one thousand?\nAnswer: 1973000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 10108499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*r**2 + 224*r - 3136.\nAnswer: -4*(r - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o + 2. Let n be 5\/(-2) + 1\/2. Let b be (-2 - -3) + -2 - 6. Let m = n - b. Let r(u) = 3*u + 5. Calculate m*v(j) - 2*r(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 189.2181 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 14 = p - w, -3*p + 28 = -5*w. Suppose 0 = -t - p, t = -2*a - 0 + 65. Find the third derivative of 28*h**3 + 1 - 1 - 34*h**2 + a*h**2 wrt h.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 9547.583 kilometers?\nAnswer: 954758300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yx when two letters picked without replacement from kvkyykkyxv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 6104*x**3 + 11*x**2 + 11*x. Let f be a(9). Let l = -3449194 - f. What is l rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2533635 is divided by 684?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = -188 - -273. Suppose -2*i + 42 + u = -q, -2*i = q - 129. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -118*l - 107*l + 130*l + (-1 - 5 + 5)*(0*l - l + 3*l) as h + r*l and give r.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 12 and 4330356.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1416689 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 4\/15 of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (34\/714)\/((-69)\/(-161)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((h*h**(-2\/13)*h*h)\/h)\/h**7)**(-5\/13))**(6\/29) assuming h is positive.\nAnswer: h**(2010\/4901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 4689055 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"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: Suppose 7069926 = 63*x + 15*x + 24*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2215.7 to the nearest ten.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 15140 and 8?\nAnswer: 30280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:24 AM and 2:25 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 524 and 21174578?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 24758788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -412*a**2*y**2 + 2936*a**2*y - 18*a*y**2 - a*y + y wrt y?\nAnswer: -824*a**2 - 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 208*j - 213*j - 13 = 4*u, 0 = -3*j - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-6)\/27*-3*6. Suppose 2*h = -2 + 6, 2*d - n = 5*h. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25558?\nAnswer: 2, 13, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 5 = -14, 5*w = 4*k + 22. Let d(v) = 2*v**3 - 3*v**2 - v + 4. What is the units digit of d(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 76\/10018401 and -37\/3.\nAnswer: 10018401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put together -10442240 and -7566591.\nAnswer: -18008831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-34)\/(-5) - (-148)\/(-185). Let g(u) = 19*u**2 - 17*u + 17. Let j(q) = 3*q**2 - 3*q + 3. Calculate r*g(p) - 34*j(p).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 4649*b - 111587. What is i(24)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.820072 to 3 dps.\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -3\/2 and 69\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3405944?\nAnswer: 2, 43, 9901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -301204*l*m**2*p**3 + 37*l*m**2*p**2 - 2*l*m*p**3 - 2*l*m + 15*m**2*p**2 + 27*p wrt p.\nAnswer: -1807224*l*m**2 - 12*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9182 + -15165. Let s = -2820 - q. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -754476.1 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (355 - 334) + 1 + -20 + 18.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-8\/3)*h*h*h*h*h)\/(h\/(h\/(h**47*h)*h)))\/(h\/h**(1\/15))**(-29) assuming h is positive.\nAnswer: h**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 464 + 56?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 9 = -4*i - 7, -4 = -4*n + i. Which is bigger: n or -106?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 + 4 = 2*k, -19 = -5*f - 3*k. Suppose f*t = 3*y - 0*y + 28, 13 = 2*y + 3*t. Is 119 - y\/4*-4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -375333 = -375333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1 smaller than -3\/18346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from thlhghhjh. What is prob of sequence jghl?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 8818, 70544, 238100, 564400, 1102358, 1904888, 3024904, 4515320?\n\"Answer: 8819*q**3 + q**2 - 10*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 319 and 220.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 + 0. Suppose -72 = -2*x - 5*l, u*l = 2*x - 0*l - 58. What is the remainder when x is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 6) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify j*j\/((j\/(j**(-3)*j*j))\/j)*j**15*j\/(j**10\/j)*j\/(((((j\/(j**(2\/11)*j*j))\/j)\/j)\/j)\/j*j) assuming j is positive.\nAnswer: j**(145\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -x**3 - 2*x**2 + 3*x. Let p(o) = -12*o**2 - 4*o + 2*o + 1 - 1. Let k(a) = 5*a**2 + a. Let i(t) = -7*k(t) - 3*p(t). Determine 3*i(g) + w(g).\nAnswer: -g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -5568, -1149, 6224, 16557, 29856, 46127, 65376?\n\"Answer: p**3 + 1471*p**2 - p - 7039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k - 4*o = -2*k - 8, 3*o - 45 = -5*k. Solve h = i + k*h, 0 = 4*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-14)\/(-3)*(-1 - (-20)\/5). Suppose -5*y + 16 = -u. What is y rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -11635 and 930.\nAnswer: -10820550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -1.365 plus -27.1?\nAnswer: -28.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that -1\/2*h**4 + 0 - 3\/2*h**2 + 3\/2*h**3 + 1\/2*h = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 364 by 52.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*l - 279 = -257. Let x(g) = 44*g - 1. Determine x(l).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 11\/9 in 0.3, -0.06, 304, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -17*t**3 + 6*t**2 - 4*t + 1. What is s(2)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-20)\/(-30)*6\/16. Which is the second biggest value? (a) -3 (b) 10 (c) r (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 2*s**4 + 11*s**3 + 13*s**2 - 11*s - 5. Let r(n) = n**4 + 10*n**3 + 11*n**2 - 10*n - 4. Let u(t) = 4*k(t) - 5*r(t). Suppose u(x) = 0. What is x?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) be the first derivative of -2*b**3\/3 - 1305*b**2 - 9160. Factor y(h).\nAnswer: -2*h*(h + 1305)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 17 = 14. Suppose 2*y - k*y + j = -25, -3*j - 25 = -y. Let a(u) = -20*u - y*u + 47*u. Give a(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 60.51219 weeks to days.\nAnswer: 423.58533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-4)*i)\/(i*(i*i**(6\/5)*i*i*i)\/i*i) assuming i is positive.\nAnswer: i**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the second derivative of -j**5\/20 - 3*j**4\/4 + j**3 - 3*j**2\/2 - j + 72. Suppose -5*p = 28 + 22. List the prime factors of k(p).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 1030 divided by 7\nAnswer: 1030\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 673 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 7\/6 in -3, -0.5, -719.6, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-35)\/42)\/(-2*(-2)\/(-24)). Let h(i) = 4 + 0*i + i + 0*i. Let d be h(3). Is x smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -92917, -185866, -278815, -371764?\nAnswer: -464713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -d = 4*x + 23, -5*d - 51853*x = -51838*x + 90 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3 - (0 + 1) - 1. Let w = -265 + 265.1. Which is the second biggest value? (a) w (b) -3 (c) -0.4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1792319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -1 != 6\/13505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2117 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k = -4*b + 100, -336 = -b - 114*k + 1949 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-4))\/((78\/(-12))\/(-13))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 34511 in -1, -5, 0.007?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11*x**3 + 363*x**4 - 358*x**4 + 4*x**3 - 3*x)*(4*x - 4*x + 3*x).\nAnswer: 15*x**5 - 21*x**4 - 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -3*q, -3*q = -2*a + 2*q - 2. Let z = 1158\/7 + -165. Suppose 3 = -4*n + 11. Sort z, n, a in ascending order.\nAnswer: a, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -86*7*(-7)\/(-4116) and -5\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/((r\/(r*r**(1\/4)*r))\/r))\/((r*r**4)\/r*r)*(r*r**6*r)\/((r*r**(1\/3)*r)\/r*r))**(1\/13) assuming r is positive.\nAnswer: r**(47\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -34*k + 30. Let t be m(12). Calculate the common denominator of 3\/((-21)\/2) + 4239\/t and 15\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-1)\/(-2))\/((-6)\/132). Let a(r) = 2*r**2 - 2*r - 2. Let v(t) = 10*t**2 - 11*t - 11. Let q = 8 + -6. Calculate n*a(h) + q*v(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 9 = -0. Suppose 0 = 2*l, -4*l + c*l = -2*u + 4. Let q be 3 + ((-6)\/u - -3). Solve 3*m + 13 = 5*j + m, -j + q*m + 13 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/432 and -145\/792.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 749 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -167915, -335662, -503409, -671156, -838903?\n\"Answer: -167747*i - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.6 + -58.4. Let r = -16 + x. Let t = r + 74.999878. What is t rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2678 = 13593724*l - 13593518*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2036421*r + 405628 wrt r?\nAnswer: -2036421","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b - 1 = -3*o, -4*b = -4*o - 2*b + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1465 and 836515.\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001644921 to 7 dps.\nAnswer: -0.0001645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*-4*(5 + (sqrt(11) - (1 + sqrt(11) + 5)))*4 + -3)*-2)**2.\nAnswer: 39204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -36, -1, 7.\nAnswer: -36, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 6*v - 40 = 0. Let m = 11 - v. Suppose s - 83 = 2*u - 4*u, 2*u = m*s + 79. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -109 + 149. Suppose -24*t - q = -4*t. Let r be 16\/(-6)*6\/(-28). Sort -0.5, r, t.\nAnswer: t, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 23757540, 23757543, 23757546?\nAnswer: 23757549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 2*q = 5*q + 1523, -f + 5*q - 375 = 0. Let p = f - -170. Let b be 522\/p - 2\/(-10). Is 1 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6297 is divided by ((-105)\/(-63) - (-4)\/(-3))*450?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1029480 by 690.\nAnswer: -1492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3 - (6 + (-16 - -16)). What is the closest to -2\/199 in -1\/4, 0.4, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.1, 10\/43, 0.5?\nAnswer: 10\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 50 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**2 + 41*c + 30. Determine j(41).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*w**3 - 3*w**3 + 2*w**3 + (-w**2 + w - w)*(-4*w + 3*w + 2*w) + 2*w**3 - 6*w**3 + 2*w**3 + 2*w**3 - 32 + 32 + 2*w**2.\nAnswer: w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -1832976 divided by -8\nAnswer: 229122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5.3 - 1.3. Let x = d + -3.5. Let z be 1\/(-4) + 4\/(-16). What is the nearest to -1\/2 in 3, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 5) + 1 + 495 + -488.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -38 greater than -4466\/115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 126 a factor of 3654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + 7 - (19 + -8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -114 = -87*a + 30*a. Solve -t + 10 = a*i, -4*i + 5*i = -t + 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(68) - (1 + sqrt(272)))**2.\nAnswer: 12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 7, g: 8}. Give prob of sequence ggg.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -6*j**3 + j - 2. Determine v(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.02 - 0.22. Let v = p - -0.5. What is the third smallest value in 0, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3\/10 (b) 4\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 84*h**2 - 5340*h - 2304. Calculate s(64).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 597216.\nAnswer: 2, 3, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5\/18? (a) -0.1 (b) -5 (c) 1\/12 (d) -3.73 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 226051151*y**4 - 3215*y**2 + 36*y + 59 wrt y.\nAnswer: 5425227624*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*c + 36*c - j + 4 = 0, -j = -4*c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 429.7 + -429.5. Let f be 5\/(-20) + (-1)\/(-2). Which is the nearest to 0? (a) f (b) m (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/9 + 656\/36. Suppose -r - 3*r = -m - 15, -4*r = -2*m - n. What is the tens digit of m\/2*(-638)\/33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/4, -12\/5, -2609, -0.4 in descending order.\nAnswer: -1\/4, -0.4, -12\/5, -2609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-9 - -4)\/(2\/(-8)). Let d(x) = x**3 + x**2. Let k be d(2). Suppose -7*a - p = -k*a. Solve 3*f - 9 = -3*n - 0*f, -a*f = 5*n - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 13831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 86 + -22. Let w = -92 + k. Let j be 2 + (-14)\/w*(-1 - -3). Solve -x = -0*x + 2*v - 8, -j*x = v - 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 1100*r + 26571. Calculate v(-24).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 5*r - 654 = 0, -5*i - r + 950 = 122. What is the remainder when i is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -51*s - 4865. Let y be r(-96). Let o be 3414\/10 + (-4)\/10. Calculate the highest common factor of o and y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xm when two letters picked without replacement from {p: 1, m: 13, x: 1}?\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -6 - 3*j + 1 + 16 - 5*j**2. Let b be s(3). What is b rounded to zero dps?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w, 1 j, 1 k, and 1 g when four letters picked without replacement from {g: 2, k: 6, j: 5, a: 3, w: 2}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6 - -2. Let z(a) be the third derivative of -a**4\/24 + 11*a**3\/6 - 135*a**2 - 1. Give z(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**2 + 9*u + 9. Let i be x(9). Calculate the highest common divisor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*v = -6*v - 22. Suppose t = 5*t - 4*l - 9932, 0 = 3*t - v*l - 7445. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 157 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1549513687.\nAnswer: 1549513687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 25 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -5909.04 rounded to the nearest one hundred?\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 180 and 53547660.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 2*w = -6 + 32, -o - 18 = 3*w. Let t be 48\/10 - o\/30. Let s(f) = -f - 3. Let n be s(-2). Sort n, -3, t, -5.\nAnswer: -5, -3, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 234 + -1168\/5. Which is the second biggest value? (a) 0.2 (b) j (c) 204\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -47897*k + 48043*k = 1314 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -n**2 - 6*n - 6. Let m = -12 - -8. Let l be y(m). Suppose -2*j + 61 = -l*c - c, 2*j + 3*c = 31. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (504\/27)\/(-8)*(-2)\/(-1).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*o**4 - 75*o**3 + 345*o**2 - 485*o + 210.\nAnswer: 5*(o - 7)*(o - 6)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 + 1 + 3)*(-2*i + 3*i - 2*i) + i - i - 2*i)*(0*i**4 - 4*i**4 + 3*i**4).\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b - 52 = 5*r, -4122*b = 13*r - 4127*b + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -2.1*-945\nAnswer: 1984.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(77)*2*3)\/(sqrt(7) + (sqrt(175) - 1*sqrt(175))))**2 - (((0 + sqrt(11))*3 + sqrt(11))*6 + -2).\nAnswer: -24*sqrt(11) + 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-2\/11))**(2\/35))**(-23) assuming t is positive.\nAnswer: t**(92\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 15826622291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**2 + 865. Let g(l) = 6*l. Give q(g(p)).\nAnswer: -36*p**2 + 865","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = -166 - -168. Suppose 3*h - 131 = f, 4*h + z*f - 116 = h. Calculate the remainder when h is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 3*y + 2*x, -13*x = -18*x. Let j be ((-6)\/36)\/(2\/y). Which is the fourth biggest value? (a) -1 (b) -0.1 (c) j (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 12, o: 7}. Give prob of picking 4 r.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 2*x = 0, y - 8 = -2*x + 4*x. Suppose 3*k = -y*k. Solve -2*i - 1 - 9 = k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 193 + -202. Let j = -4 + 3. Is z less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kddorxdrrrd. What is prob of sequence dror?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-33278)\/4)\/(1\/(-18)). Suppose o - 523645 + x = 4*z, -2*o - 5*z = -747788. Suppose o = 5*p - 301106. What is p rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 229*h*r + 2*h + 125*r - 2 wrt h?\nAnswer: 229*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.242423 millilitres to litres.\nAnswer: 0.009242423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 8*g - 8. Let c be (-58)\/(-8) - (-3)\/(-12). Let l(q) = -7*q + 7. What is c*l(a) + 6*j(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 52, -2, 5, 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 17 + -19. Let u be -6 - -2 - (p + -5). Suppose 3*m + 0*m - u = 0. Which is the closest to m? (a) 1\/3 (b) -2\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.29 + 16.69. Let y = -33.927053 + 18.5270388. Let g = h + y. Round g to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1092, 1091, 1088, 1083, 1076, 1067, 1056?\n\"Answer: -k**2 + 2*k + 1091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -5 (b) 2\/5 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7\/(-1) + (104\/26 - -78124)?\nAnswer: 78121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -99 - -83. Let p(q) = q**3 + 16*q**2 + q + 18. Let y be p(u). Find the third derivative of -44*g**2 - y*g**5 + 11*g**5 + 71*g**2 wrt g.\nAnswer: 540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 158366 is divided by 146?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 84306 in 0.01, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mggmmmmggmm. What is prob of sequence ggm?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 183 a factor of 4575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5 - 31.\nAnswer: -30.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = -108 + 133. Suppose 120 = -2*a + 7*a. Do a and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -6*n**2 - 30*n**4 + 8*n**2 + 7*n**2 + 19*n**4 + 5 + 16*n**4 wrt n?\nAnswer: 20*n**3 + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 685\/224 + -107\/32. What is the closest to b in -11, 0.1, -44, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d**2 - 5*d + 2. Let m be y(-5). Suppose -3*v - 2*v - 10 = 5*z, 0 = 4*z + m*v - 2. Suppose b + 20 = -4*b, -5*l + 518 = z*b. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -7*q**2 - 45*q. Let y(a) = -a**2 - a. Calculate -o(m) + 6*y(m).\nAnswer: m**2 + 39*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d = 3*l + 96, 154775*d - 154780*d - 4*l = 130 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*v - 8 - 11 + 0 + 15*v + 19.\nAnswer: 34*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2487*k**3*s + k**3 + 35*k**2 + 49806*s wrt k?\nAnswer: -7461*k**2*s + 3*k**2 + 70*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (28\/(-35))\/(14\/(-175)). Let q(y) = 5*y - 48. Let o be q(p). Solve 2*v - o = 0, -4*v + 5 = 5*c + v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-20)\/8*16\/(-10). Suppose -m*k + 8*k + 2*z = 16, -k + 11 = 4*z. Put k, -5, -1 in ascending order.\nAnswer: -5, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 336, 669, 1002, 1335, 1668?\n\"Answer: 333*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 0 smaller than -310\/20797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 90*d - 8935 + 12805 = 0 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*n = 48*n + 90. Let w(d) = d**2 + 14*d - 3. Let f be w(-11). Let p = n - f. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 1700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 446389403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1493301?\nAnswer: 3, 31, 16057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 235466 divided by 121\nAnswer: 1946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**2 - 19*i + 182.\nAnswer: -(i - 7)*(i + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 196 divided by 2?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o. Let n(g) = -2*g**3 - g + 2. What is n(a) + p(a)?\nAnswer: -2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -99125 divided by -125?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -2*u - 7. Let d be l(-3). Let a be ((0 - 0)\/2)\/d. Suppose 0 = 3*t + 3*g + 33, 4*t + g + 10 + 46 = a. Is -15 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00005121 rounded to 6 decimal places?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k**2 - 4*k - 6. Let q be o(5). Suppose t = 5*t - 20. Put 2, t, q in decreasing order.\nAnswer: t, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1011 a factor of 4237101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 69746\/11 or 1\/46?\nAnswer: 69746\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 777271 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: Evaluate (-1)\/(-2 + 4 - 0 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -40797852*l**2 + 49153163 wrt l?\nAnswer: -81595704*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*q**4 + 0*q**4 + 89*q**4 - 10*q**3 - 19 - 95*q**4 to the form j*q**4 + z*q**2 + n*q + y + s*q**3 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 + 2212?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 67 minutes after 11:10 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the second derivative of 127*o**6\/2 - 1039*o**4\/6 - 1405*o. Find the third derivative of m(v) wrt v.\nAnswer: 45720*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 36 and 1476.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 1 - 10. Let n be (-2)\/5 - (268\/(-20) + l). Put -0.2, 3, n in increasing order.\nAnswer: -0.2, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -11*f - 4502 - 10*f**3 - f**2 - 3*f + 0*f**2 + 4470. What are the prime factors of v(-3)?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i + 8 - 0. Suppose 4 = i*a + 16. Suppose -8*b + 99 - 197 = -82. Put 2, b, a in descending order.\nAnswer: 2, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*k = 31*k + 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 612 and 272799.\nAnswer: 1091196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*i**3 + 130*i**3 - 138*i**3 - i**3 - i**3 + 0*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i**3 + 1480*i**2 + 4458*i = 0. What is i?\nAnswer: -3, 0, 743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from onfncqrq. What is prob of picking 1 c, 1 n, and 2 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.4, -1\/65, 35\/17?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 19498586*p**3 - 497*p**2 - 14 wrt p?\nAnswer: 116991516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 38 divided by 38?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-16)\/(-130)*13065\/(-2010).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*g + 16*g = 3*j + 1152, -5*j - 1912 = -4*g. Let p = 565 + j. What is the remainder when p is divided by 50?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 65 - 27. Let k(g) = -16*g**2 + 5 + 46*g**2 + 43*g - u*g. What are the prime factors of k(-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 2 v when three letters picked without replacement from gvvgvggvggg.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 25793120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -i**3 + 7*i**2 - 7*i + 8. Let w be d(6). Let y(b) = -b**2 + 4*b**w + 1 + 7 - 4*b**2. Calculate the least common multiple of 5 and y(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*a - 2*y, 3*y + 2*y - 10 = 0. What is the nearest to -1 in a, -3.5, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 29 = -73. Which is smaller: 0.1 or s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 - 88?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 25205, 102704, 231869, 412700, 645197, 929360, 1265189?\nAnswer: 1652684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 236207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -409907136 divided by 190832?\nAnswer: -2148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 3*d**2. Let p(n) = -3073*n. Give h(p(m)).\nAnswer: 28329987*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 14376 and 3624.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/26*(-75)\/450?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 - 1)*(-6 + 4 - 5)*(-3 - 1 + 5)*(u + 0*u + u).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0026597377 to six dps.\nAnswer: 0.00266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -161997 divided by -4\nAnswer: 161997\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2 + 32\/(-5))\/((-3)\/15). Let a(z) = -z**3 + 21*z**2 + 21*z - 14. Let l be a(g). Is -36 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 26*c - 1 - 4*c**4 - 12*c - 10*c - 8*c - 5*c**2 to the form m*c + g*c**2 + b*c**4 + z + l*c**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-5\/4)*h*h**(-4\/9)*h**(-2)\/(h\/(h**(4\/5)*h)))\/((h**(-2\/7))**(1\/22))**(-1\/43) assuming h is positive.\nAnswer: h**(-1129231\/595980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -13, -1, 0.2, -33 in descending order.\nAnswer: 0.2, -1, -2, -13, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = -6\/2695 + 121371\/43120. Calculate the common denominator of q and 45\/83.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -232162*-10.\nAnswer: 2321620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 185208291*a**4 + 137034788*a?\nAnswer: 2222499492*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 2, r: 2, b: 2, m: 2, e: 1, t: 5}. What is prob of picking 2 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -40 = 6*s + 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/l**(-1\/4)*l)**(2\/5)\/(l**(-2)*l**5\/l) assuming l is positive.\nAnswer: l**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 88, 114, 148, 184, 216, 238, 244?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3)\/(-9) - 126\/(-27). Suppose -5*m + 2706 + 1346 = -3*o, -k*m - o = -4036. What is the greatest common divisor of 101 and m?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*p - 2*p - 2*p)*(p**3 - 10*p + 670*p**2 - 670*p**2) to j*p**3 + k*p**2 + i*p**4 + g + f*p and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*a = 139 - 49. Let d(n) be the first derivative of -1 - 1\/16*n**4 + 0*n - 1\/8*n**2 - 1\/6*n**a. Find b, given that d(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 219882683.\nAnswer: 223, 821, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*y**2 - y**2 + 2*y**2 - 4*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1 (b) -4 (c) -0.2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -97*i - 124*i**2 - 131*i**2 + 391*i**2 - 134*i**2 - 3 + 2*i**3 as p*i + k*i**3 + w*i**2 + a and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -9 or -294?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2\/911849 - 124923769\/207901572. Find the common denominator of q and -21\/16.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 3\/2, 0.7, 0.1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1 - ((-3 - -5) + -4)) + (-39 - -55). Calculate the greatest common factor of 12407 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-54)\/45)\/((-9)\/30). Suppose 0 = -3*s + 5*s. Suppose s = t + v*t - 255. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 70 = 393*c - 383*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/54)\/(6\/24).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 76444, 152878, 229206, 305374, 381328, 457014, 532378?\nAnswer: 607366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -6396242 (base 10) to base 6\nAnswer: -345032122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0253203083 to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Add together -268685 and -41939.9.\nAnswer: -310624.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20511 is divided by 1575?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 193 divided by -38\nAnswer: -193\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 3*a + 3 + (a - 4*a - a)*(-6 + 1 + 1))*(0*a**4 + 3*a**4 - 4*a**4).\nAnswer: -13*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*b = -124 - 416. Suppose -m + 2*s = -16, -32*s = -b*s - 8. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 8 + 1)*(-399*k**4 - k**5 + 404*k**4 + 2*k**5).\nAnswer: -5*k**5 - 25*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -16*s + 11*s + 40. Let f = -30 - -59. Let z = 42 - f. What is the remainder when z is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6836.15 centuries in millennia?\nAnswer: 683.615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 63030*h**2. Let m(b) = -b**2. What is m(f(c))?\nAnswer: -3972780900*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1 > 3\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -53 + 20?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 5*p - 29. Let d(c) be the first derivative of 3*c**2\/2 + 637. Calculate a(d(g)).\nAnswer: 15*g - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 67 divide 7150774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:15 AM and 3:18 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -25*k**3 + 6*k**2 + 84?\nAnswer: -75*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + -4*(-4 + 3 + -2*(1 + sqrt(539) + 0 + 0)))**2.\nAnswer: 1344*sqrt(11) + 34640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3369, 6716, 10063, 13410, 16757?\nAnswer: 20104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 7295 * 0.5\nAnswer: 3647.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 6\/11 in -1\/5, -1, -1\/2, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -5 (b) -0.1 (c) -68 (d) 5 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 5 + -4 + -1 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -51*v - 72. Does 64 divide i(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 53 + -22. Let z(w) = -8*w + 106. What is the remainder when o is divided by z(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -68 - -5. What is d rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -505, -1768, -3907, -6952, -10933, -15880?\n\"Answer: -5*d**3 - 408*d**2 - 4*d - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be 51 + -4 - 1 - 4. Let r = 64 - s. What is the lowest common multiple of r and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) 0.081 (c) -42\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 657 minutes after 8:31 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 592.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 88805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 15*u**2 + 59*u + 9. Let t(v) = -8*v**2 - 30*v - 5. Give 6*p(n) + 11*t(n).\nAnswer: 2*n**2 + 24*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 133802.\nAnswer: 2, 149, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:34 AM and 6:54 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gvgggggg. Give prob of picking 3 g and 1 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -18501 + 0?\nAnswer: -18501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {i: 2, e: 1, o: 1, b: 2, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -314, 9, 0, -1, -3\/2, 4, -0.11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -489*r**5 + 390*r**2 + 68*r**5 + 386*r**2 - 273*r**5 - 803*r**2 - 1 wrt r?\nAnswer: -41640*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 17 (b) 3 (c) -29 (d) -2\/5 (e) 4 (f) -217\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -3, 17.1, 0.3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -2952*f - 20656. Calculate i(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -213310 + 10?\nAnswer: -213300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.03 - 2.97. Let s = d + 2.999957. What is s rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 2*i = -2*i - 14, 16 = 4*h - 4*i. Suppose -h*k + 89 = w, -k - 276 = -3*w - 4*k. Which is the biggest value? (a) w (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -4, -72, -186, -346?\n\"Answer: -23*d**2 + d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -119\/48 and 131\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 8*o**4 + 20*o - 6 - 20*o wrt o?\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -429 = -7*s - 408. Solve -5*i - 3 = -13, 0 = -s*u + i - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01080092 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -200*y - 486. List the prime factors of v(-5).\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -145*i + 3*i**2 - 2*i**2 + 11*i**4 + 146*i - 1 in the form y*i**3 + l*i**4 + q*i + f*i**2 + u and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 3854 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve i - 15*i + i = 208 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*q + 9 - 1. Suppose -q*g + 6 + 26 = 0. Let r be (-2 - -1) + -1 + 2. Solve r = 5*l - 7 - g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u - 1. Let t(r) = 8*r**2 - 12*r - 12. What is -12*s(f) + t(f)?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -63 (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 4*z - 14 + 6 = 0, 4*x - 10 = -2*z. Suppose -x*v + 0 = -9. What is the second derivative of -3 + 2*w**3 + 4*w - 2*w + v wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/b**(-24))**(6\/13) assuming b is positive.\nAnswer: b**(150\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -18 - -18.7. Let k = s - -0.3. Let d = 0.1 - 0. Which is the closest to d? (a) k (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 - -3. Which is smaller: d or 9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -17917 (base 12) to base 3\nAnswer: -1201211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -1000 (base 2) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**3 - g**2 - g + 3. Let i(b) = 12*b**3 - 15*b**2 + 69*b + 18. Let c(m) = -6*d(m) + i(m). Find the second derivative of c(x) wrt x.\nAnswer: 36*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5690*j**2 + 5666*j**2 + 5249*j**2.\nAnswer: 16605*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 13*i**2. Let u(m) be the first derivative of 3*m**2\/2 + 8. Determine p(u(v)).\nAnswer: 117*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 746 and 343906.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = 4*a - 2*k, 4*a + 4 = 3*k - 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -53, -114, -203, -314, -441?\n\"Answer: f**3 - 20*f**2 - 8*f - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6 + -15 + 4 - (-11965)\/5. What is the highest common factor of l and 1393?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 45 = -g - 0*g, 102 = 2*g - 2*o. Let t be g\/36 + 4\/6. Solve -t*b = -0*b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from baobbaxhaaa. What is prob of picking 2 a, 1 x, and 1 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 349800 and 600?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 306 divide 30756480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by -18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -266230, -266259, -266268, -266239, -266154?\nAnswer: -265995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 220 and -26390?\nAnswer: -5805800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -3.5253 times 336\nAnswer: -1184.5008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 208*t - 465. What is w(3)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 3*a = -8. Suppose -156 = -a*z - 12. Suppose -36 - z = -4*l. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 734 = -d, -29*d + 33*d = 5*j + 3652. Round j to the nearest ten.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = -2*x - 5*z + 11, 0 = -3*x - 3*z + 9. Let j be 3\/(-7) + 4088\/49. Let f = j - 70. Solve 3*g + f = x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -a6 (base 15) in base 8?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 43088920?\nAnswer: 2, 5, 7, 153889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 216\/(-96)*36\/891*-3.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 3*m**2 + 18*m - 13. Let d be i(12). Suppose -5*o + 250 - d = 0. Let f be (-2)\/7 + 99329978\/o. Round f to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that 534\/11*h**3 + 2\/11*h**5 + 74\/11*h**4 + 854\/11*h**2 + 0 + 392\/11*h = 0.\nAnswer: -28, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/8*(-14 - -14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -39509, 4, 0 in increasing order.\nAnswer: -39509, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -2*c + 12 + 8 + 8. Does 28 divide n(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -2 + l - 2*l + 3*l - l - l**2. Let v(h) be the second derivative of h**4\/6 - h**3\/3 + 5*h**2\/2 + h. Suppose 14 = 3*y - 1. Calculate y*r(g) + 2*v(g).\nAnswer: -g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from {f: 9, r: 4, q: 2, w: 4}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -229247, -229237, -229213, -229169, -229099?\n\"Answer: h**3 + h**2 - 229249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -22, 102, 4, -7, -3 in increasing order.\nAnswer: -22, -7, -3, 4, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -38 - -173. Let c(l) = 2*l**2 + 23*l - 57. Let a be c(3). Calculate the highest common divisor of p and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15887139 divided by 3?\nAnswer: -5295713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 2\/((-96)\/178) - 0 and 53\/4*-8*13\/624.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*-5*(-910)\/150150?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1090069 and 1661.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 10, -236, 77225 in decreasing order.\nAnswer: 77225, 10, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -45*n + 61*n - 4000. Suppose 15*s = 4*s + 330. Calculate the highest common divisor of s and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = n + 2*t + 4, -3*n - 3*t - 6 = 0. Suppose n = 2*h + 4*h - 120. Calculate the remainder when 59 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = -6*f - 8. Let s be (6\/f)\/((-5)\/160). Solve -4*d + s - 4 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + c = -c + 64, -43 = -u - 5*c. Suppose -l = -u + 2. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.1, 8.5, 0.9, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fggm when four letters picked without replacement from mmfgdgm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x be 5 + -3 - (-1 - 2). Suppose -2*r = x*n - 33, 0 = 4*n - 0*r + 2*r - 28. Solve -2*g + 5*k + 20 = 2*g, g = -4*k + n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand r**3 - 1 + 1 + (2*r + r - 5*r)*(3*r**2 - 3*r**2 - r**2) + (7 + 13 + 11*r - 17)*(-5*r - 3*r**2 + 5*r).\nAnswer: -30*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 4*v**2 - 42*v + 38. Let t be s(1). Solve -5*c + 2135 - 2160 = t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the third derivative of y**4\/24 - 8*y**2. Let c(i) be the first derivative of 7*i**3 + 9. Determine c(s(u)).\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 2*d**2 - d - 1. Let r be l(-1). What is the common denominator of (r + 0)*66\/32 and 3\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g + 6992 = 4*x - 2*g, -2*x = 2*g - 3508. Suppose -3*i - 1326 = -3*c, -c = -5*c - 2*i + x. Calculate the remainder when c is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 9*d + 415. Let f be h(-46). Let c(t) = 8*t**2 - 2*t + 2. What is c(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5572458 centuries to decades.\nAnswer: 5.572458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 155.98478 rounded to 1 dp?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 65014139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 3*p**3 + 18*p**2 - 6*p + 5. Let c be q(-7). Let d = c + 1407. What are the prime factors of d?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2c3 (base 14) in base 12?\nAnswer: -3ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3 - -1. Let y(p) = -p - 2. Let w be y(x). Suppose w = -h + 3*m - 10, -m + 11 = 2*h - 4. Calculate the highest common divisor of 55 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/3445 or 28265?\nAnswer: -2\/3445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17659?\nAnswer: 17659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 158161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.071317 centuries to decades.\nAnswer: 60.71317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 9814 = 2*d, -6*q + 9*q = -d + 9818. What are the prime factors of q?\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 290 is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-8)\/(-10))\/((-6)\/(-15)). Let r(z) = q*z + 5*z - 3*z - 15 - z. What is the remainder when r(14) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 155*c - m - 44 = 153*c, 5*c - 3*m = 113. Solve -16*j - 12 = -c*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o - 2*d = -36, 30*o - 9 = 29*o - d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 198*c**2 - 60*c - 15. What are the prime factors of g(-5)?\nAnswer: 3, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 122659\/4 (b) 11\/3 (c) -12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2 + 1 + -1 + 2. Suppose -1 + 17 = n*y. Suppose -y*a + 9 = -3. Solve -a*m = -m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 254798 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*o = -11 - 34 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -7337 - -7255.78. Let l = -1237 + 1234.52. Let k = l + c. Round k to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 18*m + 3. Let t(c) = -22*c - 3. Let w(d) = 7*o(d) + 6*t(d). Determine w(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 4*g = -g - 43, 4*m - 204 = -4*g. Solve -2 = -5*r - b, 3*b = m - 64 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -30401 (base 6) in base 2?\nAnswer: -111111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 185560 and 1000.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + (-17 - -32) - (-1 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -268*k - 73 + 71 + 255*k - 580*k as i + m*k and give m.\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -0.004, -1\/8, 4, 1\/2 in descending order.\nAnswer: 4, 1\/2, -0.004, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in -2\/21, 0.296, 1\/4, 0.033, -16\/5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ya when two letters picked without replacement from hyyyhlhayhyhayyhlh?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 73, 70, 57, 28, -23, -102, -215?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (273207*o**2 + 1976*o**4 + 1048*o**4 - 273206*o**2)*(6 - 2 - 2).\nAnswer: 6048*o**4 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 10102 + -4?\nAnswer: 10065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 44418?\nAnswer: 2, 3, 11, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -p - 1. Let f(i) = -i**3 + 3*i + 1. Suppose 0 = 21*v - 6 + 27. What is v*f(u) - 3*c(u)?\nAnswer: u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(245) - 4*(sqrt(245)*-1 - sqrt(245)))**2 + 5 + (sqrt(245) + 1 + -5)**2.\nAnswer: -56*sqrt(5) + 39956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 10063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = o + 2*b + 4, -17 = 2*o + 5*b. Let a be (8\/o)\/(4\/(-6)). Factor -f**a + 3*f**4 - f**2 - f**4.\nAnswer: 2*f**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 772 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -36 by 18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 - 1)*(-14*t**4 + 16*t**4 + 23*t**4) + 2*t**4 + 0*t**4 + 4*t**3 - 5*t**3.\nAnswer: -48*t**4 - t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 4406 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from iciqiiiiijiii.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12 - -120?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (3*u - 6*u + 2*u)*(2 - 1 - 4)*(7 - 2 + 1) in the form w + x*u and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -4*q + 3. Let s(r) = 5*r - 4. Suppose -u = 1 - 5. Let y(c) = u*t(c) + 3*s(c). Let l(n) = -4*n**2. What is l(y(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -2*t + 18. Let p be m(8). Solve 0 = -q + p*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -276977.61 and 632.\nAnswer: -276345.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 23329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 68*t + 27. Give c(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = 4*o - 9504, -o - 4*t + 660 + 1726 = 0. What are the prime factors of o?\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*y**4 + 2*y**4 + 0*y**4 - 1 - 3*y**2 - 9*y**4 to r + a*y**4 + i*y**3 + j*y + x*y**2 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 622657 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2\/5, -0.245, -1, -0.3, 3, -0.5, 0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.2 and -0.24039142053.\nAnswer: -0.04039142053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*m**2 - m**2 + 3*m**2)*(-2*m**3 - 20*m**3 - 7*m**3).\nAnswer: -58*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 46732*j**2*v**3 - 1693*j**2*v**2 + 22*j**2 wrt v.\nAnswer: 280392*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) be the second derivative of -y**5\/10 - 65*y**4\/12 + y**3\/2 + 11*y**2\/2 + 2*y - 4. Find the second derivative of t(j) wrt j.\nAnswer: -12*j - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 take away 0.1338360574891?\nAnswer: -4.1338360574891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.11 + -0.109946. Round j to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) -47 (c) -3 (d) -2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -232057*0.0511\nAnswer: -11858.1127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2581 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -1265\/9049 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -3*w - 5*w**3 + 2*w**3 + w**2 + w + w**2 as z*w + i*w**2 + x + p*w**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2776 is divided by 1388.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -27*n**2 - 3*n + 7. Let j(o) = -40*o**2 - 5*o + 11. What is -5*j(t) + 8*u(t)?\nAnswer: -16*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the third derivative of d**8\/1680 - d**7\/42 - 103*d**6\/600 + 529*d**5\/300 + 17*d**4\/20 - 84*d**3\/5 + 9877*d**2. Suppose i(k) = 0. What is k?\nAnswer: -6, -1, 1, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + (-4 - (5 + -9)) + 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 689\/3376 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 408 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4\/28*-2 + (-1166)\/(-14). Let g = u - -40. Suppose -2*k = 5*f - 40, k - g = -4*k - f. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 126 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(171) - -3*sqrt(171)) - 1*3*sqrt(171))\/((-1*sqrt(81) + sqrt(81) - (-1*sqrt(900) + sqrt(9)))*2).\nAnswer: -23*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -4155051 divided by -1385017\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*o**2 + 1075*o - 1075*o + 0*o**2 - o**2 - 3*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:45 PM and 11:24 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*m + 8*m = -68640. What is the highest common divisor of m and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 18.361 - 17.361. Which is the closest to w? (a) -0.3 (b) 0.3 (c) -1\/3 (d) -149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -2*n - 7. Let h be m(-6). Suppose -z - 5*i = 2*z + 8, -h*i = -2*z + 28. Solve -z*s = 5*r + 3, 0*r + 2 = -4*r - 3*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (85\/255)\/(1\/(-6)). Let y = -78 - -78. Which is the nearest to k? (a) -3 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1524838940 divided by -304967788\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:52 AM and 5:37 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 3*n - 25 = 0, 5*w - 3*n - 40 = 0. Let l = 1\/3 - 1\/9. What is the nearest to 3 in 4, w, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 + -0.714\nAnswer: -3.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -17.2 (b) -1\/4 (c) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -2, 7732 in increasing order.\nAnswer: -2, 3, 7732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 - bb4?\nAnswer: -bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/10 in 4\/7, 3, 4, -8, -34\/13?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v + 2. Let h be y(-5). Suppose z - w + h = 3*w, 13 = 5*z - 4*w. Suppose -3*k = 2 - z. Which is smaller: k or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 1 y, and 1 k when three letters picked without replacement from {d: 2, r: 1, y: 1, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 11 (b) -54\/13 (c) 6 (d) 3 (e) -1 (f) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11912 is divided by 70.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {v: 1, c: 4, u: 2, m: 1, g: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = -12 - -13. Find the first derivative of 2 - 7 + u + 4*c**3 wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -6467920 at least as big as -6467920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3828 and 12354.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 88599013 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2346 divided by -1.\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4921046?\nAnswer: 2, 13, 189271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13994 is divided by 3435?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (26 + 24*x - 26 + (-4 - 10 + 5)*(-17*x + 8*x - 6*x))*(2 - 1 + 1)*(0*x**3 + 2*x**3 - x**3) to the form k*x**3 + f + p*x**2 + h*x + j*x**4 and give j.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 4516*g**3 + 30*g**2 - 13*g. Let v(x) = -1505*x**3 - 9*x**2 + 4*x. Calculate -3*p(f) - 10*v(f).\nAnswer: 1502*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2544400 or 2544396?\nAnswer: 2544400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -3*f + 35. Let z = f + -7. Suppose -3*t - 380 = -z*t. Round t to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = m**2. Let y(n) = n + 32. Calculate l(y(i)).\nAnswer: i**2 + 64*i + 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 0.116 (c) 0.05 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -113*k + 106*k = 98. Let o be (3 + k\/7)*0. Let x = -5 + 9. Solve -4*c - x*h + o + 16 = 0, 2*c + 5*h - 11 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4680, -18267, -40904, -72585, -113304, -163055, -221832, -289629?\nAnswer: -366440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 4, f: 3, n: 1, i: 2, r: 4}. What is prob of picking 1 i, 1 r, and 1 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (5 - 5 - 2*d)*(0*d - 4*d + 2*d) + d - 43105*d**2 - 3*d + 42962*d**2 in the form a*d + i*d**2 + m and give i.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -0.47395 * 0.2185\nAnswer: -0.103558075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -225.9 - 93592342?\nAnswer: -93592567.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -6 divided by 5121\nAnswer: -2\/1707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 70688923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 371021?\nAnswer: 7, 53003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1194 is divided by 241?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c - 3. Let i be n(-7). Suppose 2*d = -f - f, 3*d + i*f = -3. Calculate the remainder when d + (-2 - (-35 - -4)) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-68 - 170 - 184 - c)*(39*c - 53 + 53).\nAnswer: -39*c**2 - 16458*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p**2 + 3*p + 1. Let n be z(3). Let t be n + 0\/(-3) + -2. Let l = t + 2. Put l, 0, 2 in descending order.\nAnswer: 2, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -62*o**3 + 1356*o**2 + 1 - 2696*o**2 + 1335*o**2 in the form n*o**3 + b*o**2 + s*o + l and give n.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 36435149 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 g(h) = -6883*h. Let j(a) = 75415*a**2. Calculate j(g(n)).\nAnswer: 3572837585935*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -408, -820, -1228, -1632, -2032?\n\"Answer: 2*u**2 - 418*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -31953461 - -31953467.9999985. Let r = -7 + g. Round r to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -855 + 17974\/21. Calculate the common denominator of -31\/30 and s.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 26\/14 - (-2 - -4). What is the third biggest value in p, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p**2 - 5*p + 24. What is the remainder when 92 is divided by u(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -292*j**3*l**6 + 98*j**3 - 3120*j**2*l**2 - 5502*l**6 - 2*l wrt l.\nAnswer: -35040*j**3*l**3 - 660240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 7661938667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -4690, -13\/12, -5, -9, -0.2 in descending order.\nAnswer: -0.2, -13\/12, -5, -9, -4690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4 - 8. Let g = u - -6. Suppose -2*p + 6 = -g. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 6*m**3 - 64*m**2 - 18*m - 47. What is p(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a - 2*k = -18, -3*a - 2*a + 4*k - 26 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -528274*c + 61279788. Determine f(116).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15635?\nAnswer: 5, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -48, 0, -35, 21 in descending order.\nAnswer: 21, 0, -35, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6567 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 386*q. Let g(j) = 25*j. What is g(s(m))?\nAnswer: 9650*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31611523 is divided by 1582?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 9666 by 3.\nAnswer: 3222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**(2\/7))**3)**(2\/35)*(((v*v*v**(5\/2))\/v)\/v*v**2\/v)\/(v**3*v*(v*v**1)\/v) assuming v is positive.\nAnswer: v**(-627\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -12 + (2 - 3) + (17 - 13)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ytnynnnutsnuuu. Give prob of sequence tyn.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2327203577?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = 26 + 18. Let s be (-186)\/(-297) + 8\/x. Which is the nearest to s? (a) 1 (b) 3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 24 by 7852982.\nAnswer: 12\/3926491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 632090189.\nAnswer: 137, 881, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = m**5 + 2*m**4 - 2*m**2 - 6*m - 2. Let w(u) = -u**5 - u**4 + u**2 + u + 1. Let s(j) = h(j) + 2*w(j). Find the second derivative of s(l) wrt l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 199261 is divided by 1226?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**3 - 14*l**2 + 16*l + 17. Let w be a(-15). Let g(u) = u**w + 5*u**2 - 5*u**2 + 3. Let p be g(-2). Solve 4*h + 1 = -p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8367670 to the nearest integer?\nAnswer: 2893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -895, -4, 577, -6 in decreasing order.\nAnswer: 577, -4, -6, -895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -423 by -47.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10 + -3. Let o = -9341 + 9481. Calculate the greatest common factor of f and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 676 minutes after 9:40 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.050903479 and -1519625.\nAnswer: -1519624.949096521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 68847500 and 3?\nAnswer: 206542500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1835, 1872, 1925, 1994, 2079?\n\"Answer: 8*q**2 + 13*q + 1814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-6)\/(k*k\/(k*k**(-1))) assuming k is positive.\nAnswer: k**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 + -4. Let c(z) = 0*z - 4*z + l*z + 4*z + 1 + 9*z**2. Does 8 divide c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -u**3 - 43*u**2 - 32*u + 11. What is the hundreds digit of n(-43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -2*g + 4 + 11, -g = 4*p. Calculate the least common multiple of g and (-72)\/10*(-10)\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the second derivative of d**7\/2520 - d**6\/144 + d**5\/30 - d**4\/3 - 4*d. Let r(n) be the third derivative of i(n). Calculate r(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.128 and -7.480136.\nAnswer: -0.957457408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*y - 6*y + 4*y)*(-y + 3 - 2 + 3) - 2*y**2 + 0*y**2 + 0*y**2 + (-2 + 2 + y)*(2*y - 2*y - 2*y).\nAnswer: -5*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2483611, -2483607, -2483591, -2483557, -2483499, -2483411, -2483287, -2483121?\nAnswer: -2482907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -32*q**2 + 75*q**2 - 4*q**3 + 5*q**3 - 61 wrt q?\nAnswer: 3*q**2 + 86*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -67*n + 166*n - 1118 = 466. Let t = -5 + 67. What is the remainder when t is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23440076339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/(-2)*(-21 - -3). Let l = u + -4. Which is greater: l or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j**2 - 8*j**4 + 2*j**2)*(3*j + 2 + 0*j - 4*j).\nAnswer: 8*j**5 - 16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = -4*j + 4, -3*j = -a - 17 + 2. List the prime factors of a + 6*(17 - 4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 25053 and 30.\nAnswer: 250530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 9, 236, 8 in ascending order.\nAnswer: 6, 8, 9, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the first derivative of -17*n**6\/60 - 7*n**5\/8 - 19*n**4\/24 - n**3\/12 + 23*n - 32. Let t(p) be the first derivative of h(p). Factor t(r).\nAnswer: -r*(r + 1)**2*(17*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -81 + 74 - (-1 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 64177, 128351, 192521, 256687, 320849?\nAnswer: 385007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 18719 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -1337*w - 115 = -1360*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 80 = 4*j + 5*d, 2*j + 2*d = -3*j + 100. Suppose -j = -b - 18. Solve 0 = -3*m + 5*k + 7 - 3, 5 = b*m - k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-75)\/(-290))\/(105\/42)*4\/6.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -185, -390, -709, -1142, -1689, -2350?\n\"Answer: -57*q**2 - 34*q - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 163413?\nAnswer: 3, 67, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -0.3, 3\/7, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((3\/(-22))\/(-1))\/((-60)\/80).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.0255 + -6.0255. Let o = -7 - -3. Let j be ((-9)\/(-6))\/(15\/o). Put t, j, 4\/5 in descending order.\nAnswer: 4\/5, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - 4) + (201\/(-134) - 51\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 236948 smaller than 473895\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 0*q**4 + 3*q**4 - q**4 - q**2 in the form n*q**2 + s*q + z + y*q**4 + d*q**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = k - 9*f + 6, 4*f + 26 = 3*k. Solve u = 4*w - u + k, 3*w = -3*u - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*x - 4*x - 2*x)*((2 - 1 - 2)*(-3 + 2 + 0) - 1 + 53 - 8)*(0*x + 0*x - 2*x)*(-1 + 2 + 0).\nAnswer: 900*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101101010010110 - 101?\nAnswer: -101101010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 136*p**3 - p**2 + 47715*p - 1 wrt p.\nAnswer: 816*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-4)\/d**(1\/2))\/(d**(2\/3))**(4\/23) assuming d is positive.\nAnswer: d**(-637\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -45\/14 - -69\/14. Let t = -221\/14 - c. Let j = t - -101\/6. Is -63 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 23 + -32 + 11 + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -8 - -9. What is the least common multiple of (2\/(-4))\/(2\/22)*-2 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 16*d + 14. Let h(j) = -5*j - 4. Let q(a) = -21*h(a) - 6*i(a). Let s(g) = g**2 - 2. Give s(q(p)).\nAnswer: 81*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 39, 3, 5, 30337, 2 in descending order.\nAnswer: 30337, 39, 5, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -10825.9 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -7, -0.2, -6\/5, -0.5, -0.1 in increasing order.\nAnswer: -7, -6\/5, -0.5, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((3*sqrt(117)*-1)\/(sqrt(36)\/(1*sqrt(4)))*3 + 3)**2.\nAnswer: -54*sqrt(13) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (29*o**2 - 51*o**2 + 27*o**2)*(6 + 2*o - 5*o + 5*o) to x + h*o**3 + r*o + p*o**2 and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 38 - -18. Suppose -14*z + 0*z = -a. Solve -2*f + z*f - 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -250 - -234.7. Let i = f - -15. Which is the smallest value? (a) i (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 70 (b) 25 (c) 3\/17 (d) 0.2 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 273*d**6*w + d**5*w**2 - 60*d**2 + 3*w**2 wrt d?\nAnswer: 32760*d**3*w + 60*d**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1.724 and 2?\nAnswer: 0.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8910500 + 3*n - 8910507 + 26731512 - 8910505.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 2*k**3 - 8*k**2 - 10*k. Let s be f(7). Suppose -3*r = -7*r + s. Suppose p + d - r = 0, -3*p + 153 = -0*p - 2*d. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5271?\nAnswer: 3, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -0.1 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 3) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*70\/150*(-5)\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**3 - 16*r**2 - 14*r + 224. Let j be f(16). Which is the nearest to -1? (a) j (b) -4 (c) -559\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 52302242.\nAnswer: 2, 107, 244403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 128758516 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2854757046 to the nearest integer?\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**17)\/(j\/(j\/j**(-11\/2))))\/(j**(-2\/5))**20 assuming j is positive.\nAnswer: j**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 4*h - 5*h. Which is the third biggest value? (a) -0.3 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 2*s = -134, 3*a + 117 + 79 = -4*s. Is ((-16392)\/a)\/(2\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -12016 - -144131\/12. Let i = 5981 - 71729\/12. Find the common denominator of b and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 85*q - 65 = -35*i + 97*q, 0 = 5*i + 3*q + 85 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6433051?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Total of -357057 and 8.\nAnswer: -357049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -4, -31, 1, 9, 4 in increasing order.\nAnswer: -31, -5, -4, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -219*h + 215*h = 2*i + 64, i - 4 = 0 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the first derivative of -107*c**3 + 5*c**2\/2 - 14*c - 24. Let j be s(11). What is j rounded to the nearest one thousand?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -4*i**3 - 327*i**2 + 81*i - 85. Determine r(-82).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 416 by 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -44133 (c) 10 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - c)*(20 + 47 - 6)*(c**4 - 2*c**2 + 2*c**2) + (2*c**2 + 0*c**2 - c**2)*(-3*c**3 + 5*c**3 - c**3) - c**5 - 5*c**5 + c**5.\nAnswer: -65*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 642072*a**2*v**3 + 22*a**2*v**2 - a**2*v + 166*a*v**3 + 1802*a*v - a + 2*v**2 - 6 wrt v.\nAnswer: 3852432*a**2 + 996*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 22508 - -5439. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -15629 <= -15623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of w**3 - 3*w**2 + 1506*w + 52874.\nAnswer: 3*w**2 - 6*w + 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 628597763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be 345\/9 + (-4)\/(-6). Let q(j) = -7*j - 223. Let h be q(-33). Suppose -7 = h*r - c. What is the greatest common divisor of 10 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o - 7618. Let j(a) = -2*a - 1. What is j(s(b))?\nAnswer: 2*b + 15235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, 4, 2\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 7129, 11007, 17473, 26527, 38169, 52399?\n\"Answer: 1294*g**2 - 4*g + 5839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -606*4.\nAnswer: -2424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -78 (base 13) to base 4.\nAnswer: -1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, -2\/5, 0.15, 7\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10.9*0.6.\nAnswer: -6.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*t = 19*t. Suppose -2*j + 4 + t = 0. Suppose -5 = -q + j. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -16 - -27. Which is smaller: q or 12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 10*d + 173 - 182 + 11*d. Let x(w) = 2 + w + 2*w - 7*w - w. Give 2*v(f) + 9*x(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c be (1 + (-22)\/4)\/(210\/(-40)). Factor -18\/7*a**3 + 10\/7*a + 2\/7 + c*a**2.\nAnswer: -2*(a - 1)*(3*a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + (9 + -12 - -12) + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-48)\/(-1160)*290\/174\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.4 + -0.5. Let p = 0.37 + 0.51. Let r = -0.12 - p. Which is the third biggest value? (a) -0.5 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i + 15 = -i. Suppose 0 = 21*h - 80918513 + 17936510. Suppose -11399143 = i*f - h. Round f to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-16\/9)*k*(((k*k\/(k**(-36)\/k))\/k)\/k)\/k assuming k is positive.\nAnswer: k**(317\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -28366*s**3 + 8*s**2 - 32*s + 8. Let v(f) = -18911*f**3 + 5*f**2 - 20*f + 5. Give -5*a(d) + 8*v(d).\nAnswer: -9458*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jm when two letters picked without replacement from ljjlmjmjljmlj?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 60 a factor of 340439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = x - 77. Suppose -65*c - 75 = -x*c. Suppose -c*l + 26*l = 2. Solve -5*j + 21 = -4, -4*u + l*j = 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.3 and -23562?\nAnswer: 23562.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 50933, 203779, 458547, 815231, 1273825?\n\"Answer: -w**3 + 50967*w**2 - 48*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/30*0*(-10)\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 11920716 and 1986786?\nAnswer: 11920716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 3.3 and 0.3416?\nAnswer: 2.9584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 1676367 = 1676367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*q**4 - 2*q**4 - 11*q**4)*(2*q + 4*q - q) + (q**2 + 0 + 0)*(8*q - 6*q**3 - 8*q).\nAnswer: -111*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 2 + 4)*(2*r - 2*r + 2*r) + 1 + 28*r + 1 - 1.\nAnswer: 30*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 15*d**4 + 11*d**2 + 5*d. Let s(n) = 3*n**4 + 2*n**2 + n. Let w(x) = -4*g(x) + 22*s(x). Find the second derivative of w(q) wrt q.\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10243801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the third derivative of -2*k**7\/105 - k**5\/60 - 7*k**2. What is the third derivative of f(p) wrt p?\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1223675998 take away -1817.87?\nAnswer: -1223674180.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 29293 and 251.\nAnswer: 7352543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ogdt when four letters picked without replacement from daoxotgdtxdxddagdg?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6.3 in 4, -2, 0.2, 409?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1122237, 2244406, 3366575, 4488744, 5610913?\nAnswer: 6733082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 0*s - 15*s + 2*s**2 + 4*s in the form g*s**2 + x + m*s and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c - 2*c = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000025772 rounded to seven dps?\nAnswer: 0.0000258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2279479 to 4 dps.\nAnswer: 0.2279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -149988, -299897, -449730, -599487, -749168, -898773, -1048302?\n\"Answer: 38*o**2 - 150023*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*z - 3*z + 255775 = 5*c, 204648 = 4*c + 3*z. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1320023 (base 4) in base 14?\nAnswer: -2b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-3) + 2800\/(-420)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of 3 and 881942.\nAnswer: 2645826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -401*q + 5. Let l(g) = 201*g - 2. Let x(y) = 4*a(y) + 7*l(y). Does 5 divide x(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange u + 10*u**2 - 1200 + 1406*u**3 - 11*u**2 + 1197 + 0*u to the form f*u + s + w*u**2 + o*u**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6.87 + -7. Let y = u + -4.87. Let f = -2394 + 2392. What is the closest to 2 in -0.3, f, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -4*w**2 + w. Suppose 4*c = -4*i - 20, 2*c - c = 5*i - 5. Let h be (9\/(-3) - i)\/(-3). Determine p(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = v**3 + 15*v**2 - 17*v - 3. Determine t(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 6 + (-4 - 1) - (-1 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2\/9*m**3 + 2\/9*m**2 - 2\/9 - 2\/9*m = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1059101 is divided by 176513.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = -5*w - 96, 3*f = -2*f + 5*w + 420. Differentiate f*x - 79*x - 9 - 3 with respect to x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -144241 + -3?\nAnswer: -144244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 49? (a) 0.2 (b) 18961 (c) -2\/5 (d) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 124184 and 1720?\nAnswer: 620920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - d - 2*d = -267, -270 = -3*f - 2*d. Let a be (-1)\/(-4) - f\/(-16). Let k be (4 + -5)\/((-2)\/12). Is k greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4572860 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 + (-10 - 8) + (2 - 15)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -723 - 82 = -5*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 24950933 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let -4*h**5 + 176*h**4 - 168*h**3 - 176*h**2 + 172*h = 0. Calculate h.\nAnswer: -1, 0, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6*(-28)\/(2072\/(-333))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 130603202 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2856528 - 214.81.\nAnswer: -2856742.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 186 and 240.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the first derivative of -3*r**4\/20 + 237*r**3\/5 - 354*r**2\/5 - 2241. Factor p(c).\nAnswer: -3*c*(c - 236)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -23428 or -23430?\nAnswer: -23428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 50 and 210675?\nAnswer: 421350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is ((-112)\/(-8))\/((31 - -43) + -81)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the third derivative of -1\/3*g**3 + 0 + 0*g - 1\/12*g**4 + 1\/30*g**5 - 26*g**2. Give s(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -222 - 16?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 1374 by -47824.\nAnswer: -687\/23912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tt when two letters picked without replacement from tnnt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r = -306.44 + 305.94. Which is the biggest value? (a) 5\/23 (b) 12 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (64\/25)\/(-73*364\/(-99645))\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 53 = 5*d, 5*s + d = 4*d + 20. Suppose s*u - 3*u = 336. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2 + 3 + 11)\/1. Calculate the greatest common factor of f and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 47 + -4?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*m = -238 - 191 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -r**2 - r + 7. Let i be 7\/(140\/8) - (-408)\/5. Suppose i*n = 87*n + 85. Let v = 17 + n. What is b(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 90 - 95. Let d(h) be the second derivative of -h**5\/20 - h**4\/2 - h**3\/2 + 7*h**2\/2 + h. What is d(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0 + (-1)\/(-2) - 9366\/(-84). Let z = -109 + k. Let t = -1.6 + 1.47. What is the biggest value in z, t, -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 2*l**2 - 36*l + 170. Determine z(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 429*b - 1253*b + 4215 = -543*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 3*v**3 + 41*v**2 + 111*v**2 + 35*v**2.\nAnswer: 3*v**3 + 187*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in q**2 - 22*q - 997*q**3 - q**2 + 36*q + 996*q**3.\nAnswer: -q**3 + 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7275 - 7328. Let h = 11 + -1. Let p = h - 10. Is p less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.067, 0.065, -2, 0.3, -6\/29 in ascending order.\nAnswer: -2, -6\/29, -0.067, 0.065, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-5*x**3 + 5*x**3 + 5*x**3)*(-3*x + x - x) - 2*x**4 + 8*x - 8*x)*(-3*x + x + 6 - 3).\nAnswer: 34*x**5 - 51*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - 2*x - 252 = 0. What is the remainder when 30 is divided by (-4)\/(-16) - x\/8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.2 (b) -4 (c) 23 (d) 19 (e) -2\/7 (f) 1509\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-399)\/(-63) - (-7)\/(105\/(-20)). Suppose 5*o - 3*d - 11 = 0, -o - d - 9 = -4*o. Let c be -5 + 6\/(6 - 5). Solve r = o*z + c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -362430, -724880, -1087320, -1449756, -1812194?\nAnswer: -2174640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 32\/(-123)*11289\/(-60208)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k + 3*k - 4*k)*(2*k - 4*k + 3*k) - 3*k**2 + k**2 - k**2 + 20 + k**2 + 0*k**2 - 18.\nAnswer: -4*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find h such that -17*h**4\/3 - 1457*h**3 + 26159*h**2\/3 - 12367*h - 1578 = 0.\nAnswer: -263, -2\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(288) - -3*sqrt(288)*4 - (sqrt(288) + (sqrt(288) + -2*sqrt(288))*2))\/(-3*sqrt(864) - sqrt(6) - (sqrt(150)*-5 + sqrt(150))).\nAnswer: -56*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-h**3 + 6*h**3 + 0*h**3)*(-8*h + 11 - 11) - 218*h**4 + 4*h**2 - 1 + 215*h**4 - 3*h**2 + h**4 - h**3 + h**3.\nAnswer: -42*h**4 + h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 823016 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:19 PM and 3:14 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 25 - 24.74. Let k = 0.16 - n. What is the second smallest value in -0.3, -11, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -210, -1148, -2810, -5196, -8306, -12140, -16698?\nAnswer: -21980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -112, -269, -530, -895, -1364, -1937, -2614?\nAnswer: -3395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -15*r. Let n(b) be the third derivative of 0*b**3 + 0*b - 1\/24*b**4 + 0 - 21*b**2. Give k(n(u)).\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11 - -37\/3. Which is the third biggest value? (a) u (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.151*-0.59\nAnswer: 0.08909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from liklvfk. What is prob of picking 1 v, 1 i, and 2 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 1, -2\/19, 6?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ugpruunup. Give prob of picking 1 n and 1 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -30 + -3 + -1 + (4 - -11).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 242 is divided by 42.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.6 - -0.6. Let c = -50 + 49.5. What is the nearest to -4 in c, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3135884.9 rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (15\/(-1665))\/(14*9\/(-4158)*-11)\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -149*x**2 + 17*x + 29. Let w(o) = -150*o**2 + 11*o + 44. Determine -3*t(k) + 2*w(k).\nAnswer: 147*k**2 - 29*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*y - 35*y + 99*y)*(-3 + 2 + 2).\nAnswer: 57*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.06 + 0.18. Let t = -0.1 + g. Let d = -1.98 - t. What is the nearest to 2\/5 in d, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 78505202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 273 and 228046.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4412*g*s - 49342*g*x**3 - 4*g*x - 5*s*x**3 wrt s?\nAnswer: -4412*g - 5*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 243331\/14 + -17379. What is the closest to -0.2 in -2\/7, -2, -0.4, u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -18 + 18. Suppose -2*n - 2866 = -4*b, -5*b + 4*n - 685 + 4260 = v. Let t = -389 + b. Round t to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -9 smaller than -55336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34653 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4 - (0 + 5) - (-5 - -1). Suppose 12*k - f*k - 18 = 0. Let s be (6\/k)\/(116\/112 + -1). Round s to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:35 PM and 9:37 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -50 + 45. Sort 1, l, 3, 2\/11.\nAnswer: l, 2\/11, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -19 - -26. Let i(w) = w - 12. What is i(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.5 times -38032004\nAnswer: -19016002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*b - 78 - 266 = 0. What are the prime factors of b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(3\/8)*c)\/c)\/(c\/(c*c**(-2\/3)))*(c**3)**(-2\/73) assuming c is positive.\nAnswer: c**(-655\/1752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 10 + m - 19 - 10*m + 3*m - m**2.\nAnswer: -(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8618557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 5*r**3 - 199*r**2 - 46*r + 239. Determine b(40).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 12207367 and 508.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from {x: 3, b: 11}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -33 - -67. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -17*z**2 - 16*z - 3038. Let v(o) = -3*o. What is v(r(h))?\nAnswer: 51*h**2 + 48*h + 9114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -20*z**3 + 148*z**2 + 238*z + 449. Determine w(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 159 + 3*f**2 - 2*f**2 - 101 to the form y + a*f**2 + j*f and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*2*sqrt(396) - (1*(sqrt(33)\/sqrt(3))**2 + 1).\nAnswer: -36*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.49 + 2.51. Let w = 0.16 + -0.16. Let k = w + -3. Sort n, k, 1\/6, -1\/3 in descending order.\nAnswer: n, 1\/6, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 456643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -9, 388, 1\/8, -7, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4.7 + -1.7. Suppose -y - 6 = y. Put y, z, 0.5 in decreasing order.\nAnswer: z, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.03, -0.3, 3\/259, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -1\/2780 (b) -1.6 (c) -1 (d) 0.2 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31 divided by -4.\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 899 and 551?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1 - 3 - 450\/(-10)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -9\/67, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 28084*z. Let b(s) = -2249*s**2. Determine b(c(g)).\nAnswer: -1773811164944*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 185243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -5 + (580 - 566 - (26 + (-2 - 0)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.1689 and 0.9?\nAnswer: 1.0689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 16*n - 55. Let z = -21854 - -21858. Determine p(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that 5*l**5\/4 + 5*l**4\/2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 15*a**3*q*z**2 - 10*a**3*q + 999821*a**3*z + 2*a**2*q*z - 2*a**2*q - 2*a**2*z**2 + a**2*z + a*q*z + 803*a*q + 18178*a*z**2 wrt a.\nAnswer: 90*q*z**2 - 60*q + 5998926*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 147 - -51. What are the prime factors of x?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 40095 and 61290?\nAnswer: 18203130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 746395009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -19 + 168625\/(-5111) + 52\nAnswer: 2\/269","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(171\/456*(-4)\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(-2\/15)*m\/(m\/m**(-7))*m**(-4\/3)\/m**(-4) assuming m is positive.\nAnswer: m**(-67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.5 + -1.4. Let n = 0 + t. Is -3\/10 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.639716 millennia to years.\nAnswer: 6639.716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**3 - 2*h**2 - 2*h - 2. Let m be (-6)\/4*(-3 + 1). Suppose -i - 17 = -0*x + m*x, 3*x = -4*i - 23. Determine q(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, k: 1, p: 2, q: 4, b: 7, v: 3}. Give prob of picking 1 p and 1 k.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -4, 335, 0, -0.34?\nAnswer: 335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -6*f - 2. Let r(g) = -2*g**2 + g + 1. Determine -p(z) - 3*r(z).\nAnswer: 6*z**2 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j = -2*t + 12 + 1, -j = -2*t + 43. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = j**3 + 27*j**2 + 50*j + 5. Let d be t(-25). Suppose 0 = -2*k + 4*q, d*q + 0*q - 60 = -5*k. What are the prime factors of -1 + -4 + k - -87?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qhshhhqhqhq. Give prob of picking 1 s and 1 q.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 44159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in k**2 + 2913057 + 3*k**2 - 6*k**2.\nAnswer: -2*k**2 + 2913057","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-120)\/(-270))\/((4\/6)\/1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -3, 0, -13573, 3.\nAnswer: -13573, -3, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = 63 - 63. Suppose 4*v + 5*c = 545, 2*v + 4*c = -a*v + 268. Suppose 5*p = 12*p - v. Calculate the remainder when p is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 7, -7, -2, -8, -19, -1 in decreasing order.\nAnswer: 7, -1, -2, -7, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (336\/56)\/((-1)\/1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -12 by -603.\nAnswer: 4\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*i - 6*i + 654*i**2 - 177*i**2 - 126*i**2 - 125*i**2.\nAnswer: 226*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0.2 times -45702983\nAnswer: -9140596.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = 339 - 428. Which is bigger: r or -442\/5?\nAnswer: -442\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 420512 to the power of 1\/2, to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -450427, -450416, -450393, -450352, -450287, -450192, -450061?\nAnswer: -449888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 7392693*j - 6358558.\nAnswer: 7392693","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -9\/338 and -49\/754?\nAnswer: 9802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 31*u - 27. Calculate f(5).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the first derivative of 2*c**7\/21 - 8*c**6\/5 + 7*c**5 + 4*c**4 - 24*c**3 + 3*c - 22. Let h(s) be the first derivative of r(s). Factor h(t).\nAnswer: 4*t*(t - 6)**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -5*b**3 + b**2 + 2*b + 3. Let w(i) = 9*i**3 - 2*i**2 - 4*i - 5. Suppose -61*l = -66*l - 15. Suppose -3*k - 6 = 9. Determine k*r(n) + l*w(n).\nAnswer: -2*n**3 + n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0 + (3 + -2 - 1). Suppose 0 = z - 5*o - 29, 4*z + n*o - 26 = 2*o. Solve -3*h - z = -4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19.697 less than 0.4?\nAnswer: -19.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 2*n**2. Let p(k) = 267300259*k**2 - 2*k. Calculate p(x(l)).\nAnswer: 1069201036*l**4 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*r - 3*r + 1044. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/2745, 2\/7, 1\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(-7\/4)*a*a)\/((a*a**(-1))\/a))**40 assuming a is positive.\nAnswer: a**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f**3 + 11*f**2 - 32*f + 24. Calculate k(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -656*j - 127. Let m be n(-7). Let k = -3177 + m. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -149*k + 67*k + 33*k + 3 - 3 + 57*k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the first derivative of -13 - 7\/3*p**3 + 0*p**2 + 0*p + 0*p**4 + 0*p**6 + 0*p**5 - 10\/7*p**7. Find the third derivative of l(k) wrt k.\nAnswer: -1200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -50 + 230. Suppose -8*h + 12 + j = 0. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 11.853*-1151\nAnswer: -13642.803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.0857 + 0.4857. Which is the third smallest value? (a) o (b) 0 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 - 4)*(-s**5 - 4417*s + 1908*s + 2515*s + 789).\nAnswer: 2*s**5 - 12*s - 1578","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 9*l - 1. Let y be j(4). Suppose 4*q - 7 = 13. Suppose -4*s + 15 = q*k, -s = 6*k - k. What is the greatest common divisor of s and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 18, 33, 42, 33, -6, -87, -222, -423?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 + -1. Let r(n) = 6*n**2 + 3*n + 3. Let c(h) = -5*h**2 - 2*h - 2. Give w*c(v) + 2*r(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 16 = 3*h, 1 = -4*u - 3. Let c(b) = -5*b**3 + 8*b**2 + 15*b + 42. Let i be c(h). Calculate the greatest common factor of i and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/(-14) + 15\/21. Let w = 6 + -3. Suppose -2*k - 2*r + 24 = 0, -w*r = -3*k + r + c. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -11*a - 7. Let f be v(-5). Suppose 0 = 5*b - b - f. Suppose -4*y = -d + 16, -2*y + b = -5*y + 4*d. Sort -2, -3, y.\nAnswer: y, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.5 and -424277.\nAnswer: 212138.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 3, x: 1}. Give prob of sequence sssx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 82708385.\nAnswer: 5, 157, 105361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 53459.78mg to tonnes.\nAnswer: 0.00005345978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 19 - 73 = z, -4*z + u - 238 = 0. Let l = -46 - z. Suppose 8 = 15*q - l*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 40591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -432*u = -242*u - 245*u + 165 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*w - 63 = -5*w + 4*w. Let t(u) be the first derivative of 0*u**4 + 17 + 0*u + 0*u**w - 2*u**2 + 16\/5*u**5. Find the second derivative of t(p) wrt p.\nAnswer: 192*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*a**4 + 306*a**3 - 306*a**3 + (-4*a**3 + 3*a**3 + 0*a**3)*(a + 3*a - a) to f*a + s*a**3 + h*a**2 + j + y*a**4 and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Calculate ((-259)\/(-14) - 16)*24\/(0 - -4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 151 + -161. Is 2679*(-3 + i\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/16 and -23\/52.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n**2 - n**3 + 0*n**3 - 2*n**2)*(1 + 3 - 15).\nAnswer: 11*n**3 + 22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 2 + 0.50049\nAnswer: 2.50049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) be the third derivative of 0*q - 4\/3*q**3 + 28*q**2 + 31\/24*q**4 + 0. Differentiate f(m) wrt m.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c**3 - 30*c**2 - 11*c + 27. Let p(o) = -o**3 + 29*o**2 + 10*o - 26. Let l(x) = -5*b(x) - 4*p(x). Is l(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*u + 27590*u**3 - 55437*u**3 - 4*u + 27743*u**3.\nAnswer: -104*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 2103, 4205, 6307, 8409?\n\"Answer: 2102*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 3320133.7 to the nearest one thousand.\nAnswer: 3320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3154 - 3030. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3501 = 35021\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 97694924 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + (5 - 13) + 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = 4*v - 40. Suppose 0*y = v*y - a - 12, 22 = 5*y - 3*a. Suppose -o - y*o = -405. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19582, -19566, -19536, -19486, -19410, -19302, -19156, -18966?\nAnswer: -18726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -462 + 476. Calculate the remainder when 78 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (5\/105)\/((-73)\/(-2044)). Let g(v) be the third derivative of 0 - d*v**3 + 30*v**2 + 2\/15*v**5 + 0*v - 3\/10*v**6 + 3\/2*v**4. Factor g(q).\nAnswer: -4*(q - 1)*(q + 1)*(9*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -7\/46068024 and 79\/3476832?\nAnswer: 184272096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -28532, -55159, -81786, -108413, -135040?\nAnswer: -161667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.3 (b) 18.13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 138 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2*(-3 - -5) - 0. Let a be 1*-2 - (0 + -1). Let z = s + a. Solve 0 = -2*l + c + 1, 5*c - z = 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -10 + (28 + -18 - 15).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 2 - 22 = 0. Suppose -4*f = w*f + 72. What is the remainder when 97 is divided by f\/(-12) + 73\/3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 623746 (base 14) to base 15\nAnswer: 456b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 473*j - 32. Is q(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i + 2*i = 22. Let x = -7 + i. Suppose 0 = -4*s + x, 18 = -2*n - 3*s + 53. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -4*u**2 + 49 + 51 - 99 - 3*u**2. Calculate g(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*b + 9 = -3*u, 4*b - 15 = 2*u + 3*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -5*w - 4. Let b be n(-5). Does 20 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1157, 1154, 1157, 1172, 1205, 1262?\n\"Answer: h**3 - 3*h**2 - h + 1160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = g**3 - g + 2. Suppose -k = 3*k + 8. Calculate m(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 5*a, 0 = -5*c - 4*a + 11 + 13. Suppose k - 5*f = 37, -k = -c*k + 4*f + 78. Calculate the lowest common multiple of 7 and k.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/5 + (-88)\/20. Let h be (-8)\/(-3)*3\/2. Let l = h - w. Calculate the greatest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 25498, 25507, 25526, 25561, 25618, 25703, 25822, 25981?\n\"Answer: y**3 - y**2 + 5*y + 25493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1076, 1103, 1204, 1421, 1796?\n\"Answer: 7*y**3 - 5*y**2 - 7*y + 1081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 10498 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.083 + 0.017. Which is bigger: 0.18 or q?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 5, 49, 113, 197, 301, 425, 569?\n\"Answer: 10*d**2 + 14*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 + -9f24b5?\nAnswer: -9f24ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Total of 3 and -0.193.\nAnswer: 2.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) 1 (b) -5\/2 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1703925 divided by -6.\nAnswer: -567975\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 22*d**2 + 397*d - 1570. Let o(f) = 19*f**2 + 393*f - 1569. Let g(n) = 7*o(n) - 6*p(n). What is the derivative of g(z) wrt z?\nAnswer: 2*z + 369","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z**5)\/z)**42*(z\/(z\/z**(-2\/19)))\/z**13 assuming z is positive.\nAnswer: z**(3741\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 6, 3, 162669, 8 in increasing order.\nAnswer: 1, 3, 6, 8, 162669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.052353 and 0.8?\nAnswer: -0.0418824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 70*l + 75088200 = -23*l. Round l to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**3 - 15*k**2 + 11*k - 3. Give r(14).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -2\/13, -6.16 in decreasing order.\nAnswer: -2\/13, -0.5, -6.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -r**2 - 533688. Let s(y) = -10*y. Give i(s(g)).\nAnswer: -100*g**2 - 533688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from vyyvyyvvvgt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1.34 - 1.2. Let k = r - 1.89. Let d = -2 - k. What is d rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = -39.992 - 0.008. Let b = j - -73. Suppose 0*l - 2*l + 2 = 0. Do b and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:48 PM and 5:43 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 61\/102068 and -26\/4029.\nAnswer: 306204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 32 + -20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 74147319, 148294653, 222441987, 296589321?\n\"Answer: 74147334*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**3 + 18*z**2 + 205*z - 3545. Calculate v(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -24 - (0 + (-23 - -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -344 in 2\/3, -0.7, 4, -249, 0?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (29 + 15*q - 9*q - 2*q)*(6 + 0 + 14*q - 8).\nAnswer: 56*q**2 + 398*q - 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1599*r - 4*r**2 - 272769 + 3880*r + 359*r - 162831 = 0. Calculate r.\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 14586 = -3*x + 4*g, 73002 = 5*x - 4*g. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 18\/8*80\/30. Solve -2*s + z = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 361, 625, 777, 763, 529, 21, -815?\nAnswer: -2033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1160418344.\nAnswer: 2, 47, 3086219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 427526586?\nAnswer: 2, 3, 487, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be 9 - 13 - (1 + -6). Solve 1 = -2*f - g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 17, b: 3}. Give prob of picking 2 b.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.5187993ml?\nAnswer: 0.0005187993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 133354\/(1 - -1) + -10 + 16 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -203 or -204?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 50200*b**2 + 452 + 50268*b**2 + 7*b**3 - 100375*b**2 + 1745 wrt b.\nAnswer: 21*b**2 + 186*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**3 - y**2 + 15*y + 28. Calculate g(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ah when two letters picked without replacement from ahyayuhyaaaayama?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 32 - 2*g**3 + 10*g**2 - 774*g + 4*g**3 + 730*g.\nAnswer: 2*(g - 2)*(g - 1)*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 940084514?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the second derivative of -7*c**3\/3 - 35*c**2 - 12*c. Let m be d(-5). Which is smaller: m or -5\/27?\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s**3 + 5*s**2 + 4*s - 7. Let u be b(-3). Let z be 1147\/148 - u\/4. What is the greatest common divisor of z and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f\/(f\/(f**(1\/5)\/f))*f**(2\/5)*f**(-8)*f\/f**(-1\/6)*f assuming f is positive.\nAnswer: f**(-187\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 7\/6? (a) 3\/8 (b) -7 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 48671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3*(-35)\/30*56\/(-49). Suppose 0*m + m + 21 = 4*w, -4*w - 2*m + 18 = 0. Solve -d*q + 31 = -3*a, q + 9 + 12 = -w*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-2\/3)\/(p\/(p*p**(17\/4)))*p**21\/p**23)**43 assuming p is positive.\nAnswer: p**(817\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -2 + 18*k**2 - 6*k - 16*k**2 - 3. Let q be m(-1). Solve q*w - 8 - 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 - (18 + -33 + -9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - 310\/110)*(-120)\/(-90)*99?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b5 (base 14) to base 4\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 704 divided by 11.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22 + 77 - 283*y + 137*y + 143*y.\nAnswer: -3*y + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + t = 12632, -10102 = 4*n - t + 2*t. Is n\/(-4) + (65\/(-10) - -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4 - 40c?\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 10 - (((-42)\/(-6))\/(-7) + 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -634 - 247*n + 5*n**2 + 634 + 249*n - 2*n**2. Let m(p) = p**3 - 8*p**2 + 2. Let y be m(8). Give l(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -36366 = 2230*u - 976*u for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*n**2\/9 - 148*n\/9 - 146\/9.\nAnswer: -2*(n + 1)*(n + 73)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 3*d = 165, -4*f - d + 171 = -6*d. Suppose 0 = -2*k, -a + 1 + 310 = -2*k. Let t = a - 291. What is the remainder when f is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = 5 - 1. Let l = 1 + h. Find the first derivative of l - 1 + 2 - 2*c wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -140, 75, -3, -2, -15.\nAnswer: -140, -15, -3, -2, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 96\/897799 less than or equal to 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/11 + 150\/220. Sort o, -4, -0.082 in ascending order.\nAnswer: -4, -0.082, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 333941445 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4099422408 to the nearest integer?\nAnswer: 64027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/2)\/(5\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*j + 3 = 33. Suppose 2*z - f = -0*f + 74, -j*z = f - 171. Let t = -23 + z. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 306240 is divided by 1576.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -453463 by 1.\nAnswer: -453463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 4*i. Let v(h) be the first derivative of h**4\/12 + h**2 - 1. Let b(r) be the second derivative of v(r). Give b(c(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 336083412473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 126940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/21 of a week in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 269298, 538587, 807876, 1077165?\n\"Answer: 269289*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 13*g**3*i + 7*g**3 + 2*g*i - 250*i wrt g.\nAnswer: 39*g**2*i + 21*g**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*p - 41*p + 30 = 0. Let d(j) = j**2 - 16*j + 37. Let s be d(p). Let h(v) = 13*v + 4. What is h(s)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000439 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(12) - (sqrt(48) - (sqrt(192) + sqrt(48)))\/sqrt(4))\/(sqrt(400) - (1*sqrt(400) + sqrt(400))).\nAnswer: -9*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j + 3. Let v(t) = 1. Let n(h) = o(h) - 3*v(h). Let u(w) = 23*w**2. Determine n(u(g)).\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is w in -5*w**4 + 2632*w**3 + 12253*w**2 - 21252*w + 6372 = 0?\nAnswer: -6, 2\/5, 1, 531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the third derivative of -j**5\/60 + 7*j**4\/24 - 5*j**3\/3 - 8*j**2. Let s be b(5). Solve s*n = 5*n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + -1 + (-5 + (sqrt(588) + 1 + sqrt(588) + 5 - sqrt(588)) + (1 + sqrt(588) + 2 - sqrt(588)))**2.\nAnswer: 112*sqrt(3) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -4*m. Let a(o) = 38*o**2 + 48*o**2 - 19*o**2 + 58*o**2 - 11*o**2. What is g(a(w))?\nAnswer: -456*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = 604 - 417. Find the first derivative of -b*i + i**2 + 187*i - 2 wrt i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -109, -400, -693, -988, -1285, -1584?\n\"Answer: -u**2 - 288*u + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = 2*d - 50. Let j = -415 - -1015. Let l be ((-2)\/(-4))\/(6\/j). Calculate the greatest common factor of d and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -131*x - 5120 = -135*x. Calculate the greatest common divisor of 40 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**2 - b - 2. Let i be ((-8)\/6)\/((-36)\/(-54)). Let c be y(i). Let m(g) = g**3 + 6*g**2 + 3*g. What is the tens digit of m(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1008 and 256?\nAnswer: 16128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 653, 676, 715, 770, 841, 928, 1031?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-16)\/20)\/(6\/(-15)). Suppose i*c - 72 = -5*l - 17, -2*c - l + 51 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 8*x + 8 = 0. Let n = 3 + x. Suppose 2*j - 92 = -s - 3*j, -2*s + 244 = -n*j. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 23, 144, 339, 602, 927, 1308, 1739?\n\"Answer: -h**3 + 43*h**2 - h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*(7\/(-1))\/(-70).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 316331344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -357342811*a**2 + 10*a**3 + 357342811*a**2.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 94484 is divided by 11802?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/(-14) - (-702)\/(-189). Let f(n) = -2 + 6 - 6*n + 13*n - n**2 + 3*n**2. Calculate the remainder when 31 is divided by f(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that t**3\/9 + 91474*t**2\/9 + 2091873169*t\/9 = 0.\nAnswer: -45737, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -13*m**3 + 5*m**2 + 23*m - 82. Let s(v) = 2*v**3 - v**2 - 3*v + 2. Give i(u) + 7*s(u).\nAnswer: u**3 - 2*u**2 + 2*u - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -a + 15 = 2*a + 5*q, -291 + 281 = -2*a + q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -4, -4562 in increasing order.\nAnswer: -4562, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -4493*t + 4154*t + 1066 = -1646 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 20 - 16. Solve -4*x**2 + a*x**4 - x**5 - x**4 + 0*x**2 - 3*x**3 + 5*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) be the first derivative of -l**2 + 20*l + 88. Let c(u) = 3*u. Give m(c(w)).\nAnswer: -6*w + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*l**2\/13 + 17962982*l\/13 - 1283070\/13 = 0.\nAnswer: 1\/14, 641535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 204377771 to the power of 1\/2, to the nearest integer?\nAnswer: 14296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tkkotckktcmmoko. Give prob of sequence mc.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12080602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*a + 7*a + 2*a)*(-2455 + 95 + 982 + 538).\nAnswer: -3360*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j - 2245*b + 2240*b = 143, -61*b = -305 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 16200 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**(-8)*a*a*a\/((a\/(a\/(a*a*a**(3\/8)*a)))\/a)*a)\/(a**(-1)*a)**(-1\/3) assuming a is positive.\nAnswer: a**(-43\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 12396 + -8510. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 286255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that -2*d**2 + 294*d + 13176 = 0.\nAnswer: -36, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/(-22) + 244942\/32274. Let q = x - -6\/163. Calculate the common denominator of 19 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 142.7 - 160.675. Let i = 0.025 - g. Let j = i - 19. What is the biggest value in 0, j, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1.17 not equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 13 - v**2 - 2799*v + 1391*v + 1399*v. Give w(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f + 22. Let h be k(7). Let d = h - 12. Let v be 0 + 9\/d + 0. What is the smallest value in 0.5, v, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 48165936.109+-0.211\nAnswer: 48165935.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = -l + 3*z, -l = -0*l + 2*z - 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 139\/4512 and -53\/12525?\nAnswer: 18837600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the first derivative of 2*k**3 - 1. Let r(t) be the third derivative of 0*t**3 - 1\/12*t**4 + 0 + 3*t**2 + 0*t. Calculate r(j(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -337? (a) 5 (b) 0.2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -302*u + 218*u + 665 + 595 = 0 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from {x: 6, n: 6}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 686762261?\nAnswer: 47, 67, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by -813\nAnswer: 1\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*d - 35, 0 = 4*q - 464*d + 460*d - 1092. What is the highest common factor of q and 3120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l**4 + l**2 + l - 2. Let r(n) = -50*n**4 - 10*n**2 - 10*n + 170. Let f(j) = 10*k(j) + r(j). What is the first derivative of f(i) wrt i?\nAnswer: -160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*s**5 + 305*s**2 - 6*s - 310.\nAnswer: 60*s**3 + 610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 6, t: 3, o: 3, s: 1, n: 3, i: 1}. Give prob of sequence sfff.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**3 - 18*q**2 + 20*q + 22. Determine w(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -837323841 take away 0.303?\nAnswer: -837323841.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -2522*s + 6 + 2529*s + 21. Let h(c) = c. Calculate -6*h(r) + y(r).\nAnswer: r + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -3*m**3 + 2*m**2 - 4*m + 4. Let t(x) = -x**3 - x + 1. Let o = 14945 + -14951. Determine o*t(q) + s(q).\nAnswer: 3*q**3 + 2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 34 = -4*n, -3*n - 9 = -13*d + 18*d. Put 20, -2, 3, n in descending order.\nAnswer: 20, n, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2864*q + 2868*q + 3 + 0 - 36*q**2 - 8572*q + 2855*q in the form d*q + v + l*q**2 and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1158263, 2316527, 3474791?\n\"Answer: 1158264*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -616 = 21*x - 469 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-23 - -24) + -28 + 17 + 69?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -5, 3, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8 - -7. Let q be v - ((-25 - -5) + 3\/(-1)). Let m be (1\/(-2) + -4 + 0)*-22. Calculate the highest common divisor of q and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 22*m**2 - 9*m + 10. Is s(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 448 minutes after 4:25 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 16 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the third derivative of -m**5\/60 + m**4\/3 + 2*m**3\/3 + 2*m**2. Let k be f(6). Suppose q + 3*q = k. Solve -q*b = -0*b + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-8)\/24*6 + 61 + 0. Let k be y\/(5 - 4) - (5 + -2). What is the highest common divisor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z + 7. Let o be i(-8). What are the prime factors of ((-2)\/4)\/(o\/110)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 2\/14 - ((-620)\/(-28) - 13)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 198*r - 9240 = -2706 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -26, 31, 88, 145, 202, 259?\n\"Answer: 57*r - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -340423*r**4 - 1774120*r wrt r?\nAnswer: -4085076*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1391865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 105\/(-28)*-4*(-4)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.33 - -1.33. What is the nearest to j in -1\/4, -2\/15, -6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2181677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5617 + -1503. Suppose q = -17*g + 59551. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**(-2)*g)**(-29\/5) assuming g is positive.\nAnswer: g**(-116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43869 is divided by 1070?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -32749, -32767, -32785, -32803, -32821?\nAnswer: -32839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 2*o**2 + 8*o - 18. Calculate m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -5097b (base 12) in base 15?\nAnswer: -211eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1463484186 to the power of 1\/3, to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -3*y - 21. Let d be w(-9). Suppose k - 5 = d*k, -5*f + 105 = -5*k. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 6, g: 8, w: 1}. Give prob of picking 2 q and 1 w.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-5)*j)\/(j**1*j*j)*(j**(-1\/2))**(-10\/3))\/(j**7*j**4)**29 assuming j is positive.\nAnswer: j**(-973\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -70553, -70529, -70505, -70481, -70457?\nAnswer: -70433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v**2 - v + 5. Let i be n(0). Suppose 0 = w + i*b - 385, -8*b = 2*w - 4*b - 788. Let t = w + -232. What is the greatest common factor of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 307204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**3 + 9*q**2 + 53*q + 8. Give o(13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1493, 1316, 1141, 968?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -4*b. Let a(f) be the third derivative of 23*f**4\/6 + 264*f**2. Give r(a(i)).\nAnswer: -368*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(126)\/(sqrt(30)\/sqrt(5)) - sqrt(21)*-1*-3)\/((sqrt(6)*3)\/sqrt(2)*5).\nAnswer: -2*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 8495371?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that 202*u**2 + 9*u**2 - 145*u**2 - 3*u**3 = 0.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 4 - 460a1?\nAnswer: -46099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 37046526?\nAnswer: 2, 3, 11, 563, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41 = -4*d - h, 0*h + 70 = -5*d + 5*h. Let k be ((d\/(-2))\/1)\/((-15)\/(-60)). Suppose -3*u + 3*m = -u - 34, u = 4*m + k. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -5 - 1 + a**2 - 5*a + 10. Let s(b) = b**2 + 5. Suppose 5*d = -y - 2*y + 5, y - 4*d = -4. Let g be s(y). What is i(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 81975, 5.\nAnswer: 3, 5, 81975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/13, -54\/19, 3, -3, -2, 0.2 in increasing order.\nAnswer: -3, -54\/19, -2, -2\/13, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 445 times -1.8\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the third derivative of v**4\/24 + 7*v**3\/6 + v**2 + 4. Give j(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 408, 1183, 1958, 2733, 3508, 4283?\nAnswer: 5058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - 17 = -3*l + 2*x, 7 = l - 2*x. Suppose 0 = 4*j - 9*n + 4*n - l, -3*n + 29 = 4*j. Solve 0*g - j*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**2*r*r**32*(r*r*r*r**(-32)*r*r)\/r**(5\/6) assuming r is positive.\nAnswer: r**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 2457, 9906, 22327, 39720, 62085, 89422?\n\"Answer: 2486*a**2 - 9*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 69071 - 34281. What are the prime factors of z?\nAnswer: 2, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5230*d**3*p**3 + 2*d**3 - 5*d**2*p**3 + d**2*p - 111*d*p**3 - 2*d*p wrt d.\nAnswer: -31380*p**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8 + -5. Let h be (0 - 3)\/3 + d. Suppose f + h*u = 3*f, 0 = -2*f - 5*u. Are f and -2\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - d = -3 - 3, -2*d + 7 = -p. Let q = -2 - -8. Let r = -8 + q. Which is bigger: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 700 minutes before 2:21 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m + 5. Let v be j(4). Calculate the common denominator of ((-23)\/v)\/((-9)\/6) and 73\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7 + -4. Let k be (-5 + -1)*(-23)\/n. Suppose 4*t + 0*t - 4*g + 56 = 0, -4*t + 2*g - k = 0. Round t to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-10) + (-1919)\/95 + 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t**2 - 5*t - 6. Calculate a(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -301 - -10003233222?\nAnswer: 10003232321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19151 is divided by 270?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 625*f + 731?\nAnswer: 625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 15) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 27\/3976816 and -75\/32?\nAnswer: 7953632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 6*p**3 + 2*p**2 - 8*p - 11. Is b(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*z - 10*z + 2 - 3 + 41*z.\nAnswer: 19*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 0 - 2)*((-4 + 2 + 0)*(2 + 2*i - 2) - 2 + 2*i + 2 + (1 - 2 + 9)*(-1804 - 1568*i + 783*i + 787*i)) as u + w*i and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 11, n: 3}. Give prob of picking 2 n.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:46 AM and 6:30 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 8\/(-24)*1239\/59\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*(sqrt(121) + (-2*sqrt(121) - sqrt(121) - sqrt(121))))\/sqrt(11))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is z in -4*z**4 + 1092*z**3 - 104232*z**2 + 3875504*z - 38163360 = 0?\nAnswer: 15, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 46.094 - 0.094. Let c = 11 - g. Let f = -35.00000066 - c. Round f to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 148 is divided by 45.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 8 = -2*r, 0 = -17*r + 13*r - 8. What is the greatest common factor of d and 1671?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -31 + 28. Let t be 3\/(-1) + -9 + (-9)\/b. Is t less than or equal to -19\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeceecqecc. What is prob of picking 2 e and 1 q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 965377097 a multiple of 621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -14*k**6*z**2 + 654*k**4*z**3 - k**2*z**3 - 2*k**2*z**2 - 320*k**2*z + 39*k wrt k.\nAnswer: -1680*k**3*z**2 + 15696*k*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 8*c + 0*c + 3*c**2 - 2*c**2. Let w = -10 - -2. Let k be b(w). Solve k*q = 2*q + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + (-16 - (-41 + 11)) + -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -30 (b) 9.307 (c) 0.358\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10.25 + 0.25. Let n = s - 17. Let x = -30.8 - n. What is x rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -343, -676, -1009?\nAnswer: -1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 5*g - 4009 + 4009. Let l(i) = 13. Let d(n) = 53*n - 39. Let f(a) = d(a) + 3*l(a). Determine f(w(j)).\nAnswer: 265*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -103*i**2 - 10*i - 5. Let w be k(-5). What is w rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 7025*v - 13689. Let q(o) = o**2 - o - 2. What is the remainder when b(2) is divided by q(-5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7 - 3. Let d be (-4)\/7 + 1387\/(-133). Let b be ((-1)\/14)\/(d\/22). What is the third smallest value in n, 2, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m**5 + 8806*m**4 - 26330*m**3 - 308150*m**2 + 659500*m + 2200000 = 0. What is m?\nAnswer: -5, -2, 5, 4400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -757\/2 or -379?\nAnswer: -757\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n*n**0))**(-2\/71)*n**(-5)\/(n*n*n**(-5)\/n) assuming n is positive.\nAnswer: 1\/n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that 2*f**3 - 6634*f**2 - 19916*f - 13280 = 0.\nAnswer: -2, -1, 3320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the second derivative of -473*m**5\/20 + 439*m**2\/2 - 676*m. Differentiate n(l) with respect to l.\nAnswer: -1419*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + 6*(sqrt(320) + 1)*-3 + (sqrt(320) - sqrt(320)*-2)*6 + (-1 + sqrt(320) + sqrt(320))*2)*6 + -1)**2.\nAnswer: -39552*sqrt(5) + 194929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -13*r**5 - r**4 + 39*r**3 - 32*r**2 + 615*r + 2?\nAnswer: -780*r**2 - 24*r + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -55 (b) -2\/75 (c) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1682*k + 1687*k - 4*j + 59, 6*j - 94 = 8*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 24990902 and 1466.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -12474 - -12473. Let u be (1 + 2)\/3 - -5. Let a(j) = -j**2 - 1. Let t(c) = -8*c**2 - 2*c - 5. What is u*a(w) + y*t(w)?\nAnswer: 2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Add together -18011082.21 and 166.\nAnswer: -18010916.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q be 405\/4 + (-32)\/128. Let l = -97 + q. Is ((18\/l)\/9)\/(3\/2382) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*l**3 + 2*l**3 + 4*l**3 + (0 + 0 + l)*(0*l**2 + 3*l**2 - l**2) - l**3 + l**3 + 2*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = n**2 + 149*n + 1338. Is j(-9) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.4 (b) 73\/2919 (c) 96.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 209027 is divided by 14893.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1241403 (base 5) to base 16\nAnswer: -601b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 466565393.\nAnswer: 7, 61, 1092659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the first derivative of i**2 + 29*i - 10. Let a be w(-10). Solve -s - a = 2*k, -4*k + 4 = -k - 2*s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 155 + -127.7. Let n = b + -24.3. Which is bigger: n or 14.1?\nAnswer: 14.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -533*x + 1079. Let l be o(2). Solve 3*j = -z + 16, 0 = -2*j + 2*z + 29 - l for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(-2)*(5 + (-98)\/21)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -24.5 (b) 1\/21 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -397 times 1?\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 128 minutes before 1:54 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2853 is divided by 946?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.03 + 0.97. Let c = m - 4. Let l = 2.368 + -1.868. What is the third biggest value in l, 0.3, 1\/6, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + 24*d = 105 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -657, -640, -623, -606, -589, -572?\n\"Answer: 17*d - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 179257787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l be (365\/(-75) + 5)\/(-1) - 2\/(-6). Let a be 122\/(-3) - (-4 + 5). Let w = a - -42. Sort 10, l, 0.3, w in increasing order.\nAnswer: l, 0.3, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.2 from -93660518.\nAnswer: -93660518.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the first derivative of 5*b**5 + 11*b**3\/3 - 401*b - 1405. Differentiate f(v) wrt v.\nAnswer: 100*v**3 + 22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 363634 (base 8) in base 9?\nAnswer: 210207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2721*m + 49868 = 9394*m - 59504 - 17415 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) be the second derivative of 4*c**6\/165 + 3*c**5\/110 - c**4\/66 + 14*c. Determine q so that z(q) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-192)\/(-112))\/(((-96)\/126)\/(-8))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 229\/2, 6093 in decreasing order.\nAnswer: 6093, 229\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -38151845, -38151846, -38151847, -38151848, -38151849?\nAnswer: -38151850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*k - 3*k + 2*k)*(-495 - 520 - 9) to x + q*k and give q.\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*d + 88*d = -71*d + 252 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - (4 + (-6 - (5 + -1)) + 13)) + -7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 477428.742s to weeks.\nAnswer: 0.789399375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -22665153 divided by 111651\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in -0.2, 31, -179, -1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**3 - 14*s**2 - 13*s + 10. Determine y(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (0*u + 2*u + 0*u)*(-1 + 9*u + 1)*(2 - 1 - 2) + (-2*u**2 - u**2 + 5*u**2)*(-5 + 10 + 2) in the form s*u**2 + g + b*u and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 - -1413149?\nAnswer: 1413148.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand s**4 + 2*s + 6*s**2 - 6*s**2 + (4 - 4 + 2)*(-3*s**4 + 4*s**4 + 0*s**4) - 2 + 2 - 4*s**4.\nAnswer: -s**4 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 12*i**2 - 100*i + 33. Let s be m(8). Solve 16 - s = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = 5*p - 35, 5*u - p - 97 = -4*p. Suppose -5*q - u = -4*s, 22 = -5*q + 5*s - 3. Does 12 divide (1\/(-1) - q) + 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**2 + 5*d + 1. Let z be f(5). Let o = -16.7 - -17. What is the closest to -0.1 in z, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -5.887 + 7483666409.\nAnswer: 7483666403.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = -4*t, -3*t = 5*y - t. Suppose 0*z - z + 273 = y. Is 14 a factor of (2 - 0)\/(13\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2392459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes before 6:12 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = d + 47, -79 = -4*f - d + 129. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00011854057743 to seven decimal places.\nAnswer: 0.0001185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 495580.\nAnswer: 2, 5, 71, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1416?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 4*a - 9. Let x(u) = -9*u + 17. Give 13*s(d) + 6*x(d).\nAnswer: -2*d - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) be the third derivative of -1859*t**6\/40 - t**5\/60 - 13*t**4\/12 + 23*t**3\/3 + 69*t**2. Let b be s(-17). What is b rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-534 + 4*r - 2*r**2 + 52*r - 55*r)*(3*r**2 - 6*r**2 + r**2).\nAnswer: 4*r**4 - 2*r**3 + 1068*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (h - 6*h**3 + 4*h**3 - 5*h**3)*(-5*h**2 - 2*h**2 + 4*h**2).\nAnswer: 21*h**5 - 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (5\/6)\/(16\/(-408)) and 123\/(-108)*-10 + 3\/(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 450 = -2*l, -206 - 129 = -3*h - l. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 2*u**2 + 15*u + 8. Let m be o(-7). Do -4\/149 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 124564801?\nAnswer: 103, 1209367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 6, o: 2, w: 4, u: 1, z: 3, v: 3}. What is prob of picking 3 f?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {y: 2, u: 4, k: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -44? (a) 0.17 (b) -4 (c) -0.081 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 + (-52)\/54)*540\/(-48)*-2.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -7*j - 1. Let w be k(-5). Calculate the common denominator of w\/6*18\/(-92) and (3375\/(-90))\/(9\/1).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the second derivative of -255*u**8\/14 + u**4\/4 + 7*u**3\/2 + 732*u. Find the third derivative of z(q) wrt q.\nAnswer: -122400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -180 (base 10) in base 15?\nAnswer: -c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -18529198457375\/5234002093122 - 1\/1618930434. Let k = m + 257\/61. Let l = 1\/159 - k. Which is the closest to l? (a) -3 (b) 4\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16729151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose v**3 + 1501158*v**2 - 1501159*v = 0. What is v?\nAnswer: -1501159, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**1)**(1\/7) assuming d is positive.\nAnswer: d**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -388*k**4 + 68*k**3 + 107*k**2 + 530*k wrt k.\nAnswer: -9312*k + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 145487 + -39544. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1171 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) be the first derivative of -3*v**4\/2 + 12*v**3 - 15*v**2\/2 + 15*v - 962. Let s(y) = y**3 - 5*y**2 + 2*y - 2. Give 2*c(z) + 15*s(z).\nAnswer: 3*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 3659 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 18 and 462645.\nAnswer: 925290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 533846 is divided by 5131.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7311\/65 + -537\/5. Let w = k + -145\/26. Let z = 2 - 1.9. Which is the closest to z? (a) -1\/7 (b) -0.02 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) 1 (b) 379 (c) -11 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**2. Let m be 3\/(-7) - 640\/140. Let c(q) = 5*q - 5. Let j(o) = -2*o + 3. Let r(i) = m*j(i) - 3*c(i). Give r(x(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**(-1\/2)*i)\/(i*i**(-6)))\/(i**(-6)*i*i**(-2\/9)))\/(i**2*i**(-3)\/i*(i**(-1\/4))**(1\/2)) assuming i is positive.\nAnswer: i**(925\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 38.85 - 82.969. Let r = 44 + j. Let p = r - -0.1. Round p to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -542154 rounded to the nearest one thousand?\nAnswer: -542000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 22, -3\/8, -3, 3, -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1233178259.\nAnswer: 1233178259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 69 (base 11) to base 3.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 39.01104 decades in millennia?\nAnswer: 0.3901104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find m such that 15*m**5 + 35*m**4 + 10*m**3 - 30*m**2 - 25*m - 5 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/13 at least as big as -0.37946852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in f + 8*f**3 + 36*f**3 + 4*f**2 - 11*f + f.\nAnswer: 44*f**3 + 4*f**2 - 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 18 - -14. Suppose -426 = 2*s + h - 448, 0 = 3*s - h - 18. What is the highest common divisor of s and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s**5\/3 + 13*s**4\/3 - 3*s**3 - 13*s**2\/3 + 7*s\/3 = 0. Calculate s.\nAnswer: -7, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of 2 and 2060.\nAnswer: 4120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) be the first derivative of -f**6\/360 - 2*f**3\/3 + 2. Let u(t) be the third derivative of x(t). Let m(b) = 4*b. Calculate m(u(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 123 divided by 846008\nAnswer: 123\/846008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 2*z. Suppose -3*a - 2*a = -45. Let g(u) = -7*u. Let i be 4\/(-3) - 60\/(-18). Let m(y) = a*v(y) + i*g(y). Let t(l) = 6*l**2. Give t(m(c)).\nAnswer: 96*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m - 16 - 17 - 13 = 3*n - 48, 54 = -32*n - 5*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 7\/36 and -5\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find i such that i**3 + 26176037*i**2 - i - 26176037 = 0.\nAnswer: -26176037, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + 7 + 5 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.41507 + 10.41507. What is the nearest to -0.06 in 0.1, r, 22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1\/4, 0.4, -0.6, -0.372406?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 32991312 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 7 + (2 - (4 - (5 - 0)))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 591, 588, 583, 576, 567?\n\"Answer: -r**2 + 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - -2) + 4 + -7 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5619568 nanometers to meters.\nAnswer: 0.0000000005619568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = -5*x + 967, t - 228 = -0*x - 4*x. Suppose -3*v + t = 5*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -794, -793, -792, -791, -790, -789?\n\"Answer: t - 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.02565 + -0.32565. Sort l, 2, 2\/15, -16, -0.2 in increasing order.\nAnswer: -16, l, -0.2, 2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u + 2084 = -2*u. Suppose u = -5*k + 26. Let r = k + 156. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-1\/9)*x\/(x*x**(-1\/22)) assuming x is positive.\nAnswer: x**(-13\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4*3\/4)\/((-6)\/(-16)). Calculate the greatest common factor of 16 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1741 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: Suppose -21*t - 1439 + 53 = 0. Let k = t + 71. Suppose -3*u - 5*z - 2 = -14, u = 5*z + 24. Solve -15 = -5*m - 0*n + k*n, 3*m = -n + u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**2 + 8*t + 18. Let m be r(14). Let p be 1*39*(-33)\/9. Let i = m - p. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n**3 - 158*n**2 - 647*n - 160. Determine s(162).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 5501519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/(-44) + 5130\/627.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 98 a factor of 2352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/((-120)\/(-90))*243062\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 - 1 - 1)*(800*m - 537*m - 399*m) to the form g*m + r and give g.\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (24*v - 43*v + 15 + 21*v + (0 - 1 + 3)*(2*v + 1 - 1))*(2*v + 0*v - 3*v)*(0 - 2*v + 0).\nAnswer: 12*v**3 + 30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 9*v + 4. What are the prime factors of s(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1 (b) -4 (c) -89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -25172258.80016 + 25179161. Let f = -6901 + y. Let m = f + -1.2. What is m rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1848721 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the first derivative of -1\/4*c**4 - c**3 + c + 3\/2*c**2 + 4. Give r(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -59 - 25 = -14*u. Suppose u*v = 5*v + 3*s + 22, -3*v + 4*s + 56 = 0. Solve 0*q = -4*q + v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1767533?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 243587189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let 0 - 3\/5*l**2 + 852\/5*l = 0. What is l?\nAnswer: 0, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -35 - -31. Which is the second biggest value? (a) o (b) 1 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-280)\/30)\/14*(675\/(-40))\/9*-3\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 35.20306 milligrams in tonnes?\nAnswer: 0.00000003520306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 37433, 74804, 112175, 149546?\n\"Answer: 37371*m + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 4, n: 3, t: 2, s: 2, x: 4, r: 3}. Give prob of sequence xr.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((3\/2)\/3)\/((-1)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r**5 - 10148*r**4 - 6451564*r**3 - 19263468*r**2 = 0. Calculate r.\nAnswer: -1267, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 800672 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -24 - (-27 - (5 + (4 - 6)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g - 297*g - 122*g)*(5*g**3 + 2*g**3 - 4*g**3).\nAnswer: -1257*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2973146109071 + 58.\nAnswer: -2973146109013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1.1 and -43364049132?\nAnswer: 43364049130.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*b + 24*b = -13*b + 765 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 180878551?\nAnswer: 7, 1303, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be 8 + -5 - (0 + 0). Suppose 0 = -15*g + 19*g + 3*o - 1204, -3*g + 924 = -y*o. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -281184 divided by -1616\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.72 + -0.82. Suppose 0 = 5*l - 3*l, -2*o - l - 6 = 0. Let i(j) = -j**3 - 3*j**2 + j + 6. Let y be i(o). What is the closest to k in 0.02, -4, y?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*z + 0*z + z + (1 + 3 + 4)*(2*z - 2*z + 3*z).\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 2, -0.34, -14, 4, -5?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) -709.7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -52 divided by 2343198\nAnswer: -2\/90123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -789606, -3158461, -7106556, -12633891, -19740466, -28426281?\nAnswer: -38691336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -220 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y - 5*z = -1 + 21, -2*y + 4 = -z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1 + -1.07. Is o bigger than 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -87 + 145. Let p = j + -51. Suppose 20 = k + z - 6*z, -k - z + 38 = 0. Calculate the greatest common divisor of p and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f - 5*f - 8. Suppose -4*z - 2 = -6. Let v(b) = 2*b**3 + 2*b**2 - b. Let p be v(z). Put 2, p, f in increasing order.\nAnswer: f, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = m**3 + 18*m**2 - 15*m + 27. Determine z(-19).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f**2\/17 - 176*f\/17 - 3872\/17 = 0. Calculate f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z**2 + 4*z + 8. Let b be m(-2). Suppose -9445 = b*t + 5*f - 38504, -5*t + 3*f = -36370. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 2*b = 100, 3*m + 113 = b - 57. Let c(n) = -2*n**2 + n - 6. Let w be c(-5). Let r = m - w. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the first derivative of 0*j**2 + 4 - 1\/20*j**5 + 0*j**4 + 1\/6*j**3 - 1\/4*j. Factor x(h).\nAnswer: -(h - 1)**2*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*((-769500)\/135)\/(-57).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (8 - 4 + 1)*(12 - 1 + 1)*(1628 - 1628 + 322*g**2) + g**2 - 1 + 1.\nAnswer: 19321*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 264 and 1451664.\nAnswer: 15968304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Add together 1382 and -1007191255.\nAnswer: -1007189873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3302212 - 0?\nAnswer: -3302212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*q - 56 = 112 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1707973 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that -2*w**4 + 676*w**3 - 3262*w**2 - 456916*w + 921504 = 0.\nAnswer: -24, 2, 29, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 7*r - 10. Calculate the remainder when m(19) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 >= -18.05827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 74\/(-259) + (1398\/(-56) - -2) and 71\/92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 174 = -30*j + 115 - 241 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.1 - 0. Let c be 3244\/51904 - 234\/160. Put y, c, -0.4 in descending order.\nAnswer: y, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 76*r**3 - 6268*r**2 + 61432*r + 34080 = 0. What is r?\nAnswer: -10\/19, 12, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1769.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 357906842 to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 13241103 + 25230?\nAnswer: 13310333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.5 + -2. Let c be (-29)\/(-3)*(2 + -6 - 3). Let l = c + 67. Put 3, m, l in decreasing order.\nAnswer: 3, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 273 + 153 + 158 + 157 - 739 + 17*j**2.\nAnswer: 17*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qq when two letters picked without replacement from lqlqlqqqqlllqllqlqq?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = -49 + 49.081. Let v = k - 0.08100077. What is v rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -38\/3 + 13. Put 6, -0.1, w in ascending order.\nAnswer: -0.1, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(416) - sqrt(26))\/sqrt(2) + -4.\nAnswer: -5*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2506*d**5 + 67516*d**2 + 237475453*d.\nAnswer: -50120*d**3 + 135032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = o**3 - o**2 - 3*o + 2. Suppose -6*g + 7 = -5. Calculate t(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7 - (-3 - ((-4 - 1) + -29))) + 2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -896 + 896. Solve m - 2*m - 2*l - 5 = 0, 4*m - l + 20 = a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(342)\/(sqrt(18)\/sqrt(3)))\/(sqrt(30)\/(sqrt(10)*-1)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the first derivative of -w**4\/4 + w**3 + 3*w**2\/2 - 3*w + 1. Let a(p) = p**2 + 4*p - 7. Let x be a(-6). Let j be (-2 - -4) + x\/5. What is g(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4914 and 115290.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x**2 + x**3 - 1 + 3*x - 3*x. Let s be v(2). Solve s*t = 4 - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 65\/2 - 32. Sort -6, 0.1, g, 0.2 in increasing order.\nAnswer: -6, 0.1, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1988354551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 115335 times 788?\nAnswer: 90883980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30 + -40 + -35 + (-1 - 9).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 1047669509 + 0.42.\nAnswer: 1047669509.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 10*w**3 - 3*w**2 - 13*w + 4. Let m(n) = -11*n**3 + 4*n**2 + 16*n - 5. Determine -3*m(j) - 4*t(j).\nAnswer: -7*j**3 + 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = g + 5*v - 11, 0*g - 36 = -2*g + 4*v. Let y be (8*6)\/(4\/12). Calculate the greatest common factor of y and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55575\/44 at least as big as 1263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 24 = -y. Let d be y*(-3)\/((-18)\/4). Suppose -d*o = 11 - 31. What is the second biggest value in -3, o, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 179\/3 + -59. Let g be 930\/(-825)*-11 - 48\/4. Which is the closest to w? (a) -1\/12 (b) g (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is x in -66*x**2 + 254*x + 40 = 0?\nAnswer: -5\/33, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -761*d*k**2*u**2 + 6*d*u - 2*k**3*u + u**2 + 2*u wrt k?\nAnswer: -1522*d*k*u**2 - 6*k**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6351903 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -163\/1938 and 119\/48.\nAnswer: 15504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = -22 - -37. Let b = i - 13. Let q = -0.6 - 0. What is the biggest value in 5, q, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in n**3 - 2809*n + 3 + 5643*n - 2834*n - 3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 570 minutes after 1:14 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of o**4 + 144755*o**3 + 11*o**2 - 7578 wrt o?\nAnswer: 24*o + 868530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -10 - -47. What is the common denominator of (-2 - -3) + z\/6 and 131\/(-3)*1\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = 6*k + 2*y - 8, 0 = 5*y + 10. Let f = 0.21 + -0.01. Let u = -3.2 + f. Which is the fourth biggest value? (a) -3\/5 (b) u (c) k (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1463\/5 + -25649\/90. Calculate the common denominator of a and (-9)\/30*(-29)\/6.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 11857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1 - -2)\/(1\/8). Solve 0 = 2*r + 2*o - f, -4*r - 6 - 2 = -4*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = 3*d - 384. Let x be d + -3 + (4 - (-2 - -3)). What is the greatest common factor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + n = -91, -5*n + 0*n + 31 = -2*y. Calculate the remainder when 187 is divided by y*((-3)\/(-6) + -4).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-24)\/(-16) - 68\/24\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 3051480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 68*j**2. Let p(k) = 27*k**2. What is r(p(o))?\nAnswer: 49572*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 0.04, -5 in decreasing order.\nAnswer: 0.04, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 1134, 2266, 3394, 4518, 5638, 6754?\n\"Answer: -2*m**2 + 1138*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + 4 + 2 - 5 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 798*q - 15. Let d(i) = -798*i + 17. Let v(c) = -4*d(c) - 3*w(c). Find the first derivative of v(u) wrt u.\nAnswer: 798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1.26 + 35.24. Let b = 37 - o. Put b, -1\/4, 2, 0 in descending order.\nAnswer: 2, b, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 6914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 54 and 16819038.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 129717028 a multiple of 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -0.025 * -4.613376\nAnswer: 0.1153344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = 2*w - 7, 3 = -4*q + 4*w + 7. Let t(a) = -12*a + 8. Let g(u) = 6*u - 4. Let m(f) = q*t(f) + 5*g(f). What is the units digit of m(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.222 and -858867919.\nAnswer: -858867918.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -8, -0.03, 206, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q**2 - 6*q + 3. What is g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -202, 1118, 2438, 3758, 5078?\nAnswer: 6398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -w. Let x = 29 - 27. Let f(r) be the first derivative of 2 + 5\/2*r**x + 0*r. Calculate f(q(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -125 at most as big as -145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*a + 39*a - 66*a + 55*a - 56*a + 64*a.\nAnswer: 64*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 55 = -5. Let j be 104\/20 + (-3)\/p. Solve -4*z + 2 = -j*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + (2 - 2) + -6 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z**3 - 12*z**2 + 10*z - 29. What is the tens digit of u(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 215734763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6*(-3)\/(-15)*7*6\/378.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 13025 - 13021. Solve -i*x - 220 = -220 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 21\/4 of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1299 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gggggygg. What is prob of sequence gy?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -11122 (base 5) to base 13\nAnswer: -487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-251)\/11 + 34\/(-187). Let v(b) = b**3 + 24*b**2 + 23*b + 8. Let u be v(j). What is the third derivative of -10*m**4 + u*m**2 + 2*m - 2*m wrt m?\nAnswer: -240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 37232 and 482872?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8 and 64008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 101*l**2 + 83*l**2 + 196*l**2 + 175*l**2 - 78*l**2 + 39*l wrt l.\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m, 1 x, and 1 w when three letters picked without replacement from {m: 2, x: 6, u: 4, w: 3}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -113, 4\/5, 1 in descending order.\nAnswer: 1, 4\/5, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*c*u**3 + 3*c*u**2 + 267*c*u + 5034*c + 43*u**3 - 32148*u**2 wrt u.\nAnswer: -12*c*u + 6*c + 258*u - 64296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -4*-100798\nAnswer: 403192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 99 divide 696168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -n**3 + 4*n**2 - 5*n**2 + 0 + 1 - 2*n + 2*n**2 - 39*n**4 + 8*n**4 to v*n**3 + s*n + d + g*n**2 + i*n**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 - (-40)\/(-12))\/(2\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -1, 79\/9, 1\/2 in increasing order.\nAnswer: -1, 1\/2, 3, 79\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2430817642 is divided by 2922.\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange f**2 + 2 - 4 + 1 + f**2 to s + o*f**2 + z*f and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1893017821 to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 354063701.\nAnswer: 79, 4481819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find k such that -2*k**5\/3 + 12512*k**4\/3 - 276302*k**3 - 2599372*k**2\/3 - 50072*k\/3 + 1155280 = 0.\nAnswer: -2, 1, 70, 6189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 45*l + 25. Let h be -20*2*25\/(-40). Let y(c) = -22*c - 7. Let i(x) = -11*x - 3. Let z(v) = 5*i(v) - 3*y(v). Calculate h*z(s) - 6*d(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 387 and 1247.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let 8*c**5\/9 + 8*c**4\/9 - 10*c**3\/3 - 32*c**2\/9 - 8*c\/9 = 0. Calculate c.\nAnswer: -2, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4317.\nAnswer: 3, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-40)\/(-90) - 228\/27. Let g(n) = -n**3 - 9*n**2 + n + 8. Determine g(y).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 - (-2 - 3 - -1 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n. Let k(o) be the first derivative of o**2\/2 + 68. What is -h(w) + 4*k(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 77\/63 + (-2)\/9 - -1 and 17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -30*u + 31 - 50*u + 12*u**4 - 15 - 64*u**3 + 116*u**2.\nAnswer: 4*(u - 2)**2*(u - 1)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -244*f - 1156 = 85 + 1199 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = -3*k + 19. Suppose 4*h - 25 = 9*h + 4*l, 3*l = 3*h + k. Let q(b) = b**2 + 3*b - 1. Let u be q(h). What is the greatest common factor of u and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 612 = -39*z + 36*z. Let o = z - -1170. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.1 - 0.9. Let b = v + 0.9. Let a = -0.008 + 0.108. Sort 2, b, a in decreasing order.\nAnswer: 2, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j**2 + 6*j + 2. Determine q(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 0*f**2 - f**2 + 2*f**2. Let q(u) be the second derivative of 7\/12*u**4 + 3*u + 0 + 0*u**2 + 0*u**3. Determine h(q(l)).\nAnswer: 49*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m = 5*q + 3*m + 30, -q = m + 8. Let l be ((-20)\/55)\/(-2*10\/5). Which is the fourth smallest value? (a) q (b) l (c) -1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 193 a factor of 857499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.02 + -1.98. Let g be (-5)\/((-3)\/(7 - -2)). Let x be (g\/4)\/(-3) - -1. Which is the nearest to y? (a) 4 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 0 + -101b9?\nAnswer: -101b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve n - 26 = 2*i + 3*i, -5*n - 5*i = 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = r**3 - 26*r**2 + 60*r + 1. Is 26 a factor of w(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(68) - (sqrt(68)*2 - sqrt(68)) - sqrt(68))*1)\/(sqrt(256)*6).\nAnswer: sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = -3*u + 31, 3*u - 2*u - 2 = 0. Let p(x) = 2*x**3 + 5*x**2 - 2*x + 4. Let n(f) = 2*f**3 + 6*f**2 - 2*f + 5. Determine t*p(h) + 4*n(h).\nAnswer: -2*h**3 - h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 96 - 100. Sort 3, m, -7 in decreasing order.\nAnswer: 3, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 90\/(-12)*(6860\/(-12) + -1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 185 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 + 13. Let u = v - 27. Let g = u - -15.82. What is g rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2578 - -1?\nAnswer: -2577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) be the third derivative of p**4\/24 + 27*p**2. Let n(v) be the third derivative of -5*v**4\/8 - v**3\/3 - 6*v**2. What is w(n(i))?\nAnswer: -15*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z + 6. Let g be w(-3). Suppose -2*q - p + 11 = 0, g*q + 4*p - 12 = 2. What is the smallest common multiple of q and 13\/(-104) + 113\/8?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 2 = f + f, 0 = -f + q + 3. Let h = 21 - f. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7919366 divided by -14?\nAnswer: 565669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 140*c + 29. Let v(h) = 46*h + 10. Let l(j) = -2*g(j) + 7*v(j). Let w(m) = 15*m + 4. Let r(t) = -4*l(t) + 11*w(t). Calculate r(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5784*y**6 + y**3 - 37509*y**2?\nAnswer: -694080*y**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1653 and 382017?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 244*h**3 + 94*h**2 - 93655*h?\nAnswer: 1464*h + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 96*d - 60. Is m(5) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -26 times 298424?\nAnswer: -7759024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 378055550?\nAnswer: 2, 5, 1373, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w + 2*i + 3380, -2*i = -4*w - 916 + 14424. Is 3377 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 6*g + 160 = 0. Suppose 0 = 5*t - 0*t + g. Let f = t - -13. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the first derivative of -1 + 2*i - 2\/5*i**5 + 0*i**3 - 2*i**2 + i**4. Factor c(t).\nAnswer: -2*(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:30 PM and 10:24 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = -594 + 593. Let d = -0.3 + 0.4. What is the second smallest value in -2\/5, g, d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -5*d - 20. What is the smallest common multiple of p(-5) and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/4)\/(-3)*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -159, -167, -187, -225, -287, -379, -507?\n\"Answer: -w**3 - w - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 17440177 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*h - 95 + 95)*(-10*h - 5*h + 2*h - 1 + 1 + 2*h + (0 - 1 + 3)*(-2*h + 1 - 1)).\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 913350.3 microseconds?\nAnswer: 0.9133503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 195*k = -53*k. What is the nearest to -2\/1223 in -1\/5, 3, 0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4 - (-2 + 0 + 3 - -59). Let g be (z\/10)\/((-36)\/180). Solve g*q - 3 = 29*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1250, -1154, -912, -458, 274?\nAnswer: 1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 109 greater than 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16, -19, -26, -37, -52, -71, -94?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 67a - 567?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i be (80\/(-35))\/4 + (-11)\/(-7). Let m = -3 - 0. What is the third smallest value in i, -3\/2, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4)\/6 - 20\/(-30). Let q = 7 - 5. Let t = q - -1. Solve m*b = t*b + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t, 1 n, and 1 i when three letters picked without replacement from tnttiit?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8902 - 8649. What is the greatest common divisor of 368 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17671817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -11 times 1533363?\nAnswer: -16866993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 5478.5 less than -528?\nAnswer: -6006.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 4 (b) 2\/7 (c) -21 (d) -9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8 and 142684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 69 = 69. Let r(x) = x**2 + 6*x - 2. Let n be r(m). Sort 4, n, -14 in decreasing order.\nAnswer: 4, n, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.45, 0.3, -14\/23, 1\/3 in ascending order.\nAnswer: -14\/23, -0.45, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1212)\/(-101))\/(2\/((-144)\/(-12))).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 149 by 3509.\nAnswer: 149\/3509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 259 is divided by 121?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of -3.9 and 13.\nAnswer: -50.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1050\/(-4375) + 881\/25.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f*f**(-2\/17)*f**(2\/49)*(f**2)**(-45) assuming f is positive.\nAnswer: f**(-74201\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 2 l when three letters picked without replacement from {l: 2, k: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1583, -1552, -1501, -1430?\n\"Answer: 10*t**2 + t - 1594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (5 + -3 - (-7 - -17)) + 17\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 682 minutes before 11:03 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 472816 divided by -8.\nAnswer: -59102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1086984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4920 + -5726.5. Round d to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-2\/3)\/i)**(-23)*i**(-5)*(i*i\/(i\/(i\/i**(-14))*i))\/i)**48 assuming i is positive.\nAnswer: i**2272","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**6)\/c*c**6*(c**(-2)*c)\/(c**(-3)\/c) assuming c is positive.\nAnswer: c**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wavawvwdvvvav. What is prob of picking 1 v and 1 w?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2157 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 1:04 AM and 10:23 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d**2 - 5*d - 10. Let k be i(7). Suppose m - 34 = k*w, 0*w = -3*m + 4*w + 94. Let y = m + -17. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -2*r - 4*j, 0*j + 5 = -3*r - j. Suppose -5*b = -4*a - 39 + 4, r = 4*b + a - 28. Let f = -23 + 86. Calculate the highest common factor of b and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 16\/(-14) + 18864\/336 + -46. Let q(h) = -11*h - 15. Let l(n) = 5*n + 7. Give u*l(s) + 4*q(s).\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 14664 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-6)\/(-9) - (-32622)\/18. Suppose 3*v = i - 118. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -612*y**2 - 10*y - 8*y + 15*y - 601*y**2 + 371*y**2 to c*y + i*y**2 + k and give i.\nAnswer: -842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -70237\/2000790 + 10\/517. What is the common denominator of u and 47\/8?\nAnswer: 15480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -68*u + 269. Let j be k(4). Is (-34008)\/(-117)*(0 - j) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (t**2 + 5*t**2 - 5*t**2)*(-2*t - 2*t + 3*t) - 3*t**3 + 3*t**3 - t**3 + (0*t + 3*t + 0*t)*(912*t**2 - 47 + 1776*t**2 + 47).\nAnswer: 8062*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = -392\/153 + 22\/9. Put i, -0.1, 5 in ascending order.\nAnswer: i, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16435050 to the power of 1\/2, to the nearest integer?\nAnswer: 4054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/2, 7, 1\/16 in ascending order.\nAnswer: -1\/2, 1\/16, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-18)\/30 + 36\/10. Let n = t + -2. Solve -3 = -l - n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -85424, -170841, -256258, -341675, -427092, -512509?\n\"Answer: -85417*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (190\/(-17480))\/(((-39)\/(-24))\/13).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 5\/6, -0.6, 15\/7, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1812212 is divided by 3819.\nAnswer: 2006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38 - 14561*k + 21 + 18.\nAnswer: -14561*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w - 5*w - 2*s + 30 = 0, -s - 15 = -5*w. Let n be 0 + w + -1*1. Let m = -5 - -15. Solve -4*y - m = -2*h, -4*y + n*h = -5*y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*o + 3 + 7*o - 4.\nAnswer: 9*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 77 + -75. Let u = 5 + w. Calculate the remainder when 30 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2\/3*q + 0 + 4\/3*q**2 + 2\/3*q**3 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qaqeeqaeqaeqaaaqeaq. Give prob of picking 3 q.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/12*5\/(-3)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -2*p - 3. Let j(y) = -y**3 - 8*y**2 + 8*y - 4. Suppose -2*w = -5*r + 1, 0 = -4*w - 3*r + r + 58. Let t = 3 - w. Let h be j(t). Give d(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 292, 1156, 2584, 4570, 7108, 10192, 13816?\n\"Answer: -a**3 + 288*a**2 + 7*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4884066 nanograms in tonnes?\nAnswer: 0.0000000000000004884066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3494 - -3496. Sort 4, 93, l.\nAnswer: l, 4, 93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -23*z + 9. Let j(x) = -40*x + 143. Let v be j(4). Let f(w) = 8*w - 3. Give v*f(r) - 6*g(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -50100834, -100201672, -150302512, -200403354?\n\"Answer: -q**2 - 50100835*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**3 - 4*l**2 - 6*l - 4. Let x = -7 + 12. Suppose -4 = -x*b - 24. Does 14 divide z(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:18 AM and 3:10 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*m - 4 = 15*m. Sort -7, -5, m, 3.\nAnswer: -7, -5, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 3, d: 7}. Give prob of sequence gg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express 23 + 8*f**2 - 32 - 2*f**2 - 3*f**2 + 5 + 448*f as w + z*f + a*f**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*p + 5629 - 5166*p**2 + 5167*p**2 + 4*p.\nAnswer: p**2 + 5629","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.11633 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 22*q - 5. Let a(f) = -2. Determine -3*a(c) + z(c).\nAnswer: 22*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ssrssssssrssssrsrs. What is prob of picking 1 s and 3 r?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -24 + -18. List the prime factors of (-828)\/i - (-4)\/14.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(2 + sqrt(208))**2 - (sqrt(208) - (-1 + 2*sqrt(208))**2).\nAnswer: 60*sqrt(13) + 1893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 12764587.9 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12868173?\nAnswer: 3, 476599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 6*v**2 + 1004*v - 14853. Give u(-181).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-1)\/(-3))\/(1\/9). Suppose -3*q - 20 = -o + g*o, o + 2*q + 12 = 0. Suppose -16 = -b - 12. Sort 1, b, o in increasing order.\nAnswer: o, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.4103 - -0.0897. Which is the third smallest value? (a) t (b) -5 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8 and 172330130.\nAnswer: 689320520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 5 = 3. Let f be 670009\/(o\/(-6)*3). Suppose -2010009 = 4*u - u + 3*x, -3*x = u + f. What is u rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the first derivative of -l**3\/21 + 755*l**2\/7 - 570025*l\/7 + 553. Suppose j(s) = 0. Calculate s.\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -19, 2\/7, 1, 14\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1830*b**5 + b**3 - 24*b**2 + 1116237*b wrt b.\nAnswer: -36600*b**3 + 6*b - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1 - (13133\/10557 - 2\/9). Let b = m + 1285\/459. Is b at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -425 - -248. Let r = 176 + k. Which is the second smallest value? (a) r (b) 1\/9 (c) 4 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 17*g**2 - 13*g - 13. Let c(a) = -8*a**2 + 6*a + 6. Let w = -20 - -14. Calculate w*k(z) - 13*c(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 3*q - 38 = -3*s, 2*s = 4*q - 40. Let m be (8\/(-6))\/(s\/12). Sort 2, m, -2 in ascending order.\nAnswer: -2, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 64855392 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a**3\/3 + 5*a**2\/3 - 113*a\/3 - 39 = 0. What is a?\nAnswer: -13, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1401612290 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3*(-5)\/15)\/(-4*(-60)\/(-912))?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-226 + 117 + 125)*(0*t**3 - 4*t**3 + 3*t**3) + 10*t**3 - 2*t**3 - 12*t**3 in the form m*t**2 + k*t**3 + j + o*t and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -b + 5. Let m be p(2). Suppose -m = i - 2*i. Solve 3*d + i = c + 5*d, -2*c = -d - 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4327386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 202 + 28*u**3 - 398 + 196.\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor q**5 + 19*q**4 + 76*q**3 - 276*q**2 - 1584*q.\nAnswer: q*(q - 4)*(q + 6)**2*(q + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -107\/200 and 17\/3620?\nAnswer: 36200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 2 - (-8 - (-13 + 8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 7*g - 2 = 3*r, 0 = 5*r - 2*g - 6. Suppose 0 = 5*m - 2*z - 207 + 36, -r*m = 3*z - 57. Calculate the lowest common multiple of 21 and m.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve o - 4*c - 6 = 0, 6*o - 3*o = -3*c - 27 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 4a4 (base 13) to base 12\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 10, 24310 in ascending order.\nAnswer: 2, 10, 24310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**2)**(3\/28)*w**(-2)\/w**(2\/5) assuming w is positive.\nAnswer: w**(-153\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*y = -3*y - 8, -4*y + 80 = -4*z. Let p = -10 - z. Calculate the remainder when 13 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.09739, 4, 1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) be the first derivative of -3*f**6\/2 - f**2\/2 - 11. What is the second derivative of d(x) wrt x?\nAnswer: -180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 75 + 360237?\nAnswer: 360334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.01 (b) -2 (c) -42\/25 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - x = 24. Find the common denominator of (0 - (1 + 36))\/16 and ((-9)\/(-15))\/(x\/6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -772 - -2597. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -858318 divided by -3?\nAnswer: 286106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -34, 2, 58, 134, 230, 346?\n\"Answer: 10*q**2 + 6*q - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -1 (b) -0.27 (c) 78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**6)**(-11)*v**(-1\/3)*v*v\/(v\/(v*(v*v**(-3))\/v)) assuming v is positive.\nAnswer: v**(-202\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -10, -13, 8, 65, 170, 335?\n\"Answer: 2*z**3 - 17*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*c = 23*c - 40. Suppose -2*j - b + 38 = j, -4 = -j + 4*b. What is the highest common factor of c and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-1)\/(-14)*3*(-6636)\/216 and (6\/(-36))\/(20\/582)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 - 2. Let o = 14 + -17. Which is bigger: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (184\/(-24) + 5)\/(2\/(-15)). Suppose 30*p - b*p = 866000. What is p rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cbk when three letters picked without replacement from cabkb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {j: 1, t: 1, o: 13}?\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 23\/12, -0.5, 1\/5, 0.02?\nAnswer: 23\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 20 and 1915571730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes before 7:05 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is (-180)\/(-15) + -15 - -11215 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, u: 1, s: 1}. Give prob of picking 1 s and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.03 + 0.18. Let i = x - 0.15. Which is bigger: 1\/3 or i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 886267321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-104)\/(-3)*(-105)\/(-70). Suppose -2*g = -300 - c. What is the highest common factor of 22 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 704 and 40436.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2\/621 - 10549\/2484. What is the common denominator of m and -85\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 3*f**2 - 108*f + 603. Let b(n) be the third derivative of -7*n**5\/30 + 539*n**4\/24 - 1507*n**3\/3 + 7*n**2. Let p(q) = -2*b(q) - 11*w(q). Factor p(k).\nAnswer: -5*(k - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -332, -3, 958, -2, 5 in decreasing order.\nAnswer: 958, 7, 5, -2, -3, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 580 and 522.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1145*t**2 - 2*t**3 + 1145*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 128 and 181648?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -8 + (28 - 1) + -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*w - 1131 = -4*w. Suppose -3*l = -114 + w. Calculate the lowest common multiple of l and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/2, 2, -1\/5, 6965.\nAnswer: -1\/5, 3\/2, 2, 6965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s + 4. Let g be o(4). Suppose g = -3*b + 36. Let j = b - 6. Is 6 != j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 17127988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-28 - (21 + 34)) + -12 - -45?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 35501 is divided by 786?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the first derivative of -p**4\/4 + 5*p**3\/3 + 9*p**2\/2 - 9*p - 1. Calculate the remainder when u(6) is divided by 6*(0 - (0 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1*-1*212*1\/4. Let a = w - -59. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 3*n + 10550 = -5*i, 2*n + 5*i + 4223 = 0. What is the common denominator of -13\/10 and (-2)\/5 + n\/90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -45*o - 204*o**2 + 2 + 4 + 243*o**2.\nAnswer: 3*(o - 1)*(13*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (5\/10)\/(1\/(-2)). Let n(r) be the third derivative of r**4\/24 + r**3\/6 - r**2. Give n(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eb21b (base 16) in base 3?\nAnswer: 1210221010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.15 - 3.15. Put o, -0.4, -1\/4 in decreasing order.\nAnswer: -1\/4, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 2*n**2 + 4. Let c = 171 - 159. Calculate the least common multiple of d(2) and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 6 = 4*c, 5*a = 3*c - 5 + 4. Suppose -c*i = 2*i + k - 14, -3*i + 18 = -3*k. Let -16*s**i + 0*s**3 + 3*s**3 - 7*s**3 + 2*s**4 = 0. What is s?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*f - 3 - 12. Let b be f\/2*20\/(-6). What is the derivative of 2*j**4 - b + 1 - j**4 wrt j?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101000100 + 1001?\nAnswer: -100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 69\/118 and 9\/5.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -i**3 - 3*i**2 + 5*i + 6. Let f be b(-4). Differentiate -3*j**4 + 3*j**4 + f*j**4 - 3 - j**4 wrt j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/4, 11, 1\/13, -2\/23, -1\/5 in decreasing order.\nAnswer: 11, 1\/13, -2\/23, -1\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the first derivative of -1\/2*b**2 + 10*b + 3. Let z be q(5). Let l(m) = -m + 2. Determine l(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -210 = 187*d - 257*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.3 + -1.1. Let f = -0.5 - o. Let p = -52 - -209\/4. Which is the nearest to 0? (a) f (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2506281353 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -31312, -65426, -99540?\n\"Answer: -34114*i + 2802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 29969656291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g be (42\/(-8))\/((-8)\/(-32)). Let q = 31 + g. Suppose 0*l + 2*l - q = 0. Solve 2*b - 4*d = -1 - l, -b + 5*d = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8.381 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v**3 + 5*v**2 + v - 7. Let o be k(5). Is 40 a factor of 924\/(-7 + 14) + 1 + o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 9.1 and 6.\nAnswer: 15.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in fourty-three quarters of a millimeter?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 18519765*b + 15080548 wrt b?\nAnswer: 18519765","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor w**4\/8 - 107*w**3\/4 + 12661*w**2\/8 - 32421*w\/2 + 91809\/2.\nAnswer: (w - 101)**2*(w - 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 11) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:29 PM and 12:09 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((sqrt(256) - sqrt(16))\/sqrt(8))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(-4\/5)*b)\/(b\/(b**(-1\/2)\/b))*b\/(b\/b**5)*b*b**9 assuming b is positive.\nAnswer: b**(137\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1706, -3650, -5740, -7982, -10382, -12946, -15680, -18590?\nAnswer: -21682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -223401518 greater than -223401518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7170.\nAnswer: 2, 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 90 - 55. Let r be ((-28)\/(-3))\/(2\/3). What is the highest common factor of r and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 98106 is divided by 37?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 4*z + 2. Let w(k) = -k**2 + 4*k + 2. Let f be w(3). Let i be -1 - (13 + -11)*(4\/8 + -4). Let d(j) = -5*j - 2. What is f*d(t) + i*r(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 72*m**3 + 49*m**3 - 51*m**3.\nAnswer: 70*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be -1*((-1)\/1)\/1. Let j = g + 0. Is ((-78)\/(-9)*3)\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3541476581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 3*h = -16, 4*u - 5*h - 22 = -4. Let g = 5 - u. Suppose 0 = -2*q + g*a + 16, 3*a - 24 = -3*q - 0*a. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(((2 + sqrt(72))*2)**2 + -1)*4 + 5 + 1)*2.\nAnswer: 768*sqrt(2) + 2436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b**3 + b**2 - b**2)*(b + 3 - 3)*(3*b - 5 + 5).\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 11 + -6. Let r = x + -3. Let v be 2\/(r\/18*3). Solve 3 = f, 4*q - f = -3*f + v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 10 - -5. Factor 5*z - 3 + 7*z + 3*z**2 + a.\nAnswer: 3*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(8)\/sqrt(4) + 5 + -5.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-16*r + 26*r - 9*r - 101*r**4)*(7 - 5*r - 7).\nAnswer: 505*r**5 - 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(140)*1)\/(sqrt(7) + sqrt(252)\/sqrt(4)))\/((1*(sqrt(4) - sqrt(64)) - sqrt(4)) + sqrt(4) + sqrt(8)\/sqrt(2)*-1).\nAnswer: sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -98660 divided by -10\nAnswer: 9866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = d**2 + 9*d. Let b(n) = 5*n**2 + 111*n. Determine -b(f) + 4*w(f).\nAnswer: -f**2 - 75*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ppa when three letters picked without replacement from {p: 7, a: 7}?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 56 minutes before 1:54 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-18)\/(-27))\/(1*(-4)\/(-71088)). Suppose -v - 36759 = -13*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -62*n**2 + 1312*n**2 - 3579*n**2 + 696*n**2 - 3711*n**2 + 3*n + 837 wrt n?\nAnswer: -10688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/14*(-64)\/(-432)*(-9)\/(-2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -67, -148, -229, -310, -391?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2390 = -5*f - 3*g - 625, -3*f = -5*g + 1775. Let l = -282 - f. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (1 + (-3)\/(-6)*0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 26.45258 decades?\nAnswer: 0.2645258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -132, -264, -396?\n\"Answer: -132*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*m + p + 3*p + 70, 0 = 3*m - 5*p - 55. Suppose -4*y = -3*y - m. Does 8 divide 32\/y*5\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7 or -288\/41?\nAnswer: -288\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 400*i**2 + 397*i**2 + 7*i - 812*i**2.\nAnswer: -15*i**2 + 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1131203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = -42 + 49. Let i(y) be the second derivative of -1\/2*y**5 + 1\/6*y**6 + 5\/6*y**4 - 1\/42*y**w - 5\/6*y**3 + 1\/2*y**2 + 2*y + 0. Solve i(k) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -92907 equal to -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) be the first derivative of 31*w**5\/5 - w**2 - 130*w - 127. Find the first derivative of y(o) wrt o.\nAnswer: 124*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 406 (base 7) to base 8.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(119)\/sqrt(7)*4)**2 - (3 + sqrt(2057) + (sqrt(2057) + 3 + sqrt(2057) - sqrt(2057)) + sqrt(2057))**2.\nAnswer: -18252 - 436*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*5*sqrt(1152)*2)\/(sqrt(6534) - 3*1*sqrt(6534)).\nAnswer: 80*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 42109 rounded to the nearest one thousand?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1095888 is divided by 7405.\nAnswer: 7353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 164 - 163.961. What is i rounded to 3 dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -14910.1 + 14302. Let v = -544 - m. Let o = v + -64. What is the second biggest value in -4, o, 5, 2\/51?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -3*n + 113. Let b be m(37). Let h(s) = -58*s**b - 61*s**2 + 115*s**2. Let p(q) = q. Give p(h(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -6520*o - 1. Let x(z) = 2*z. Give x(l(b)).\nAnswer: -13040*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 8328024 and 166662.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 4*m + 8 = -0*m, -9 = 4*w + m. Is -1\/2 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -13 (b) 1\/4 (c) 131\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -r**2 + 5 - 5 + (0*r + 0*r + 2*r**2)*(2 + 3 - 3) + r**2 - 5*r**2 - 4*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -7 - -33?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let 663324375136*u**4\/3 + 427179810962288*u**3\/3 - 233262032424*u**2 + 127372860*u - 23184 = 0. What is u?\nAnswer: -644, 3\/5494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*c - 13*c = -216. Let p = 0 + 4. Solve -p*v = -0 + c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 500469509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 55\/120288 and 71\/4476969.\nAnswer: 143263008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (35\/25)\/(28\/(-105)) - -5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 63.971 - 64. Let m = 0.429 + i. What is the closest to 0 in 2, m, 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -7, 100, -1\/6, -2\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 - 1. Let f = -160 + 160.97. Let z = w + f. What is z rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 + 0. Let v be -1 - (20\/(-16))\/((-3)\/(-12)). Suppose 3*o + v - 19 = 0. Put l, o, 4 in decreasing order.\nAnswer: o, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3\/6*-12 + (-6 - (0 - 90\/6)). Solve 1\/9*c**o + 40\/9 + 2\/3*c**2 - 4*c = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 - 6 - (37 - 35) - 6 - 8?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 127 a factor of 137734167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 8394152604 to the nearest one hundred thousand.\nAnswer: 8394200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -g**2 + 11*g + 241. Let m be b(21). Let v = 63 - m. What is the lowest common multiple of 20 and v?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 325*c - 291*c + 374 = 0 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1 - 1\/2)*-2. Let c be 4\/g - (-18 - -11). Solve -c = f, -21 = -p + 4*p + 2*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 79, -2, 125, 51, 5.\nAnswer: -2, 5, 51, 79, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 25141778237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 4 times 492221\nAnswer: 1968884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = 195 + -198. Which is the third smallest value? (a) 2 (b) 5 (c) 0.5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor j**3\/2 + 8*j**2 - 123*j\/2 + 99.\nAnswer: (j - 3)**2*(j + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 23 - 33. Let u be 6\/m + 2320500021\/35. Suppose 6*w = 3*w - u. What is w rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 smaller than -2\/5951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -42\/229 (b) 3 (c) -0.1 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -13 and -0.032?\nAnswer: 12.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 273, 1.\nAnswer: -1, 1, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.07 (b) 3 (c) 7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 517 minutes before 11:57 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 5818\/23 or 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(32)\/((sqrt(50)\/sqrt(5))\/sqrt(5)))\/(((sqrt(48) + sqrt(288)\/sqrt(6))*1)\/sqrt(6)*2))**2.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 121 = 45. Suppose -852 = -3*b - 5*y, 73*b - m*b + 4*y + 852 = 0. Calculate the greatest common divisor of 71 and b.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 2 o when three letters picked without replacement from offo?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -1047*d**2. Let x(r) = r**2. Calculate x(i(j)).\nAnswer: 1096209*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -18.014901 to 0 decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 503505.003 rounded to the nearest 100?\nAnswer: 503500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -52 divided by -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 186803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 14404c (base 15) to base 8.\nAnswer: 3561127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -46*w**3 - 3*w + 45*w**3 + 0*w - 3*w + 85 - 81 + 7*w**2. Give h(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 84 + 156 = 3*v, -3 = -3*p. Let s = 53 - v. Let i = s - -74. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*i - 6*w + 2*w + 8, 0 = i + 5*w - 22 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -73*d + 8*d = 195 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 157216 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -238*v - 4327. What is the remainder when 452 is divided by d(-19)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2842639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 3*c + 5*c**2 - 2*c - 3*c**2 - c**2. Let p be h(-4). What is the third derivative of 3*a**2 - p + 12 + 5*a**6 wrt a?\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (37 - 9) + -5 + (3 - 10) + -15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -8*z**3 - 3*z**2 - 4*z + 1. Let i(j) = -24*j**3 - 8*j**2 - 11*j + 3. Determine -3*i(l) + 8*k(l).\nAnswer: 8*l**3 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*f**2 - 8*f**4 - 10*f**2 + (3*f**2 + 19 - 19 + (1 - 2 - 3)*(-3*f**2 + 3*f**2 + f**2))*(-3 + f**2 + 3))*(-3 + 1 + 4).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -2088*f. Let v(m) = 505*m - 14. Give v(b(z)).\nAnswer: -1054440*z - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 3 = 3*w, 5*g = 39*w - 37*w - 21. What is the least common multiple of 273 and w?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 8*h = 112. Suppose -2*v = 3*d, 3*v + v - h = d. Let g be 26\/3 - (-2)\/v. Solve g = j - 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = -5*d - 2*c, -c - 90 = -4*d - 110 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6 + 51\/(-9) + 75\/45. Let u(h) be the second derivative of -8*h + 0 - 1\/6*h**3 + 0*h**y. Let i(j) = -12*j. Give u(i(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 25 - 15 = 0. Suppose 6*k = 11*k - w. Which is the closest to k? (a) -8\/3 (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -142380 divided by 7?\nAnswer: -20340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1414 + 5?\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*v**2 - 4*v**2 + 0*v**2 + (-6 + 4 + 4)*(182*v - 2*v**2 - 182*v) - 2*v**2 - 1 + 1.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1034 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d**3 - 6*d**2 - 38*d + 229. Let z be u(6). Sort -34, 0, z.\nAnswer: -34, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -16952\/419 greater than -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5\/83, 4, 1\/2, 0.3, -5, -20.269?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 14043972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -1001 (base 4) to base 15\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 + 2)\/(19\/76)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*a**2 - 4 + 53*a - 2 + 5 - a**2 to l + x*a**2 + d*a and give d.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 77049733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 + 6. Let o be ((-24)\/450*-20)\/((-8)\/(-20)). Which is greater: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-5)\/(-25)*0 - 8628. Is ((-2)\/3)\/(8\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*a + 3*a + 3*a + (-4 - 1 + 6)*(a + 2*a - 5*a) - 1 + 3*a + 1 + (-2*a - a + 2*a)*(-1 + 4 - 1) - 4*a + a + 0*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -3.807 rounded to one decimal place?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**2 - p + 2. Let s(a) = -a - 6. Let j be s(-6). Let d be r(j). What is the derivative of 27 + d*q**2 + 4*q**2 - 38 wrt q?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 533.4168l to millilitres.\nAnswer: 533416.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 635b + 21e7?\nAnswer: 8553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -80? (a) -7 (b) -0.05 (c) -1.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -3*i + 1. Suppose -2*w + b + 3 = 0, 0 = -5*w - b + 17 + 1. Let f(n) = 4 + 3 - w - 6 + 7*n. Determine -2*f(k) - 5*h(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -b**3 - b**2 - b + 1. Let k be (-2)\/7 + (-24)\/14. Determine f(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 40710 - 23416. List the prime factors of n.\nAnswer: 2, 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:06 AM and 6:55 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h\/(h**(3\/8)\/h)))\/h*h**4 assuming h is positive.\nAnswer: h**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 341 = -h - d, d + 333 = h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 351, 681, 1007, 1329, 1647?\n\"Answer: -2*f**2 + 336*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.006233108 to five dps.\nAnswer: 0.00623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*a**2 - 50 + 50 + (2 - 4 + 0)*(57*a**2 + 147*a**2 - 48*a**2) + (2*a - 2*a + a)*(-5*a + 5*a + a) to x*a + h*a**2 + y and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 103 (base 6) in base 2?\nAnswer: 100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/12)\/((-5)\/(-6))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -d**3 + 7*d**2 + 9*d - 5. Let q be t(8). Suppose 3*y - o = -16, 12 = -4*y + q*o - 6. What is the units digit of -1*y\/(-14) + 1034\/77?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -101 = -5*q + 9. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -67 - -67.37. Let u = -0.47 + g. What is the second smallest value in 0.1, u, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 82684603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 331277, 331271, 331265?\n\"Answer: -6*k + 331283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes after 5:04 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 652*v**3 - 4576*v**3 - 1695*v**3 - 4219*v**3 + 525*v**3.\nAnswer: -9313*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 2 and -1054974091921?\nAnswer: 1054974091923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 4*i - 6*i + 0)*(-2 + 2 - 1)*(-4*i + 2*i + 3*i).\nAnswer: 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 7) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be (62\/(-434))\/((-12)\/14). Let w = 6 + -7.1. Let x = 2.9 - w. Which is the third biggest value? (a) x (b) 2\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -52649 + 76441. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 47 divide 2961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 37, 7, 0, -1, -13, 4, 16 in descending order.\nAnswer: 37, 16, 7, 4, 0, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**2. Let v = 688 + -687. Let g(d) = -2*d**2 - 2*d - 16. What is v*g(j) - 3*m(j)?\nAnswer: j**2 - 2*j - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -936, -3756, -8460, -15048?\nAnswer: -23520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be 126\/27*-1*18. Let x be (4\/(-6))\/(7\/l). Solve -x = -h + 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*v**2 + 3*v**2 - 3*v**2 + (-v**2 - 3 + 3)*(1 + 0 + 0) - 3*v - 2*v + 4*v + 3*v**2.\nAnswer: 4*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -237939*k**3*o**2*u - 5*k**3*o - 480482*k**2*o*u - 703*k*o**2*u - o*u wrt o?\nAnswer: -475878*k**3*u - 1406*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the second derivative of -q**5\/420 + q**4\/14 - 6*q**3\/7 - 49*q**2 - 79*q. Let m(l) be the first derivative of x(l). Factor m(u).\nAnswer: -(u - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00029374336 rounded to seven dps?\nAnswer: -0.0002937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*b + 8 = -14*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 419 = -5*w, -o + 2*o + 249 = -3*w. What is the units digit of w\/(-1 + 3 - 3\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -37 (base 12) to base 15.\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 2 = 2*u, 0 = -2*u + 3*u - 2*q + 6. Suppose -r + 5 = -l - u, 3*l + 5*r = -27. Let c be 4 - -3*6\/l. Solve z - 18 = 5*a, c*a + 18 = -z - 2*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -63\/34 and 101\/96.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the second derivative of -a**6\/900 + 23*a**5\/100 - 239*a**3\/6 + 129*a. Let q(p) be the second derivative of d(p). Determine k, given that q(k) = 0.\nAnswer: 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + -7687493?\nAnswer: -7687496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5 - 3 + 0*d - d + (0 + 0 - 2)*(-d + d + d) - 2*d - 5*d + d - 6*d + 2*d + 3*d + (-3*d - d + 3*d)*(2 + 2 - 2) + 0*d + d - 2*d to z*d + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 704, 735, 790, 881, 1020?\n\"Answer: 2*k**3 + 17*k + 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-18)\/81 + 250\/315. Which is smaller: -0.3 or b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes before 5:08 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-12)\/4 + (16 - 0). Let x be 3 + ((-15)\/o - (-4)\/26). Find the third derivative of 30*d**2 + 26*d**x - 46*d**2 - d**4 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 79 - 664 + 207 + 374*v**2 + 187 + 191.\nAnswer: 374*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 47621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -294 + 293.6. Sort z, 1\/11, -1 in descending order.\nAnswer: 1\/11, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/15 and -49\/10355.\nAnswer: 31065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4104.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 74 = -2*w, -7*w + 2*w - 5 = 0. Find the first derivative of 4*i**3 + 71 + d*i**3 + 91 - 248 wrt i.\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -15, 2, 13, -106, -5, -4 in decreasing order.\nAnswer: 13, 2, -4, -5, -15, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2161979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -3*y + 32. Let c be z(9). Solve 2*p + 4*l - 18 = 0, c*p + l - 29 = -l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (139\/135 - 1)*(-1836)\/234. Let y = 558868\/195 - 2866. Let m = y - q. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -a**2 + 7*a - 3. Let l be o(6). Solve -l*w = -6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.67652 rounded to 3 decimal places?\nAnswer: 0.677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 29 (b) -1.16 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -833 by 2.\nAnswer: -833\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 278*l**2 - 24*l + 80. Is g(3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 880*y + 352437. Give w(-401).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, -9.8, -0.12?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 9387 - 9362. Is u equal to -172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2.5 + -10. Let v = g - -7. Which is the third smallest value? (a) v (b) -2\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 164476104 divided by -41119026\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 23 + 21 = 0. Are r and 2\/33 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5191 + 9442. Let b = -23749 - z. What is b rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 214780 + 76?\nAnswer: 214846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -9*w**3 - w**2 - 53*w + 139. Give o(3).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 33\/4 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 34038 and 1023.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 36*323\/(-456) + 184\/(-16)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -846446, -1692870, -2539294?\n\"Answer: -846424*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*a + 6072 = -282*a for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put together -5 and -6960042348850.\nAnswer: -6960042348855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**2 + 4*f - 15. Let p be (6\/2 - 2)\/((-3)\/(-3)). Let u be 25\/(p + 4) + 1 + 0. List the prime factors of c(u).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -160*o**4 + 86*o**4 - 121 + 73*o**4 + o**4 + o**4 + 0*o**4 + 2*o**4 + 0*o**3 + 0*o**3 + (o**2 - 2*o**2 + 2*o**2)*(3*o**2 - 4*o**2 + 0*o**2).\nAnswer: 2*o**4 - 121","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (7\/(-112))\/(1\/2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8001, -7983, -7947, -7887, -7797, -7671, -7503, -7287?\nAnswer: -7017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*q**2 - 6*q**2 + 4*q**2)*(3*q**3 - q**3 + 2*q**3).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 0*u**4 + 0*u**4 + u**4 + 2 + 6*u**4 + 4*u**4 - 4 + (-2*u**3 + 2*u**3 + 2*u**4)*(0 - 3 + 1) as k*u**3 + t*u**4 + y*u + i*u**2 + v and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 10565672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.1 + 0.1. What is the second biggest value in 1, k, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8100253 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 35*p + 38*p + 20 = 0, -t - 4 = -3*p. Suppose -17 = 5*w + 2*h, -5*w + t*w = -2*h - 11. Which is the second biggest value? (a) w (b) 1 (c) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -238 - -325.58. What is p rounded to 0 dps?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 - 16 = -5*h. Suppose -l - h*n = -4, 2*l + 9 + 7 = 4*n. Suppose -12 = 4*y + 2*d - 0*d, -5*d = 0. Is l greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.07 + 0.07. Let z = o - -0.07. Let j be (-4)\/(-3) - (2 - 5\/3). Which is greater: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1079245087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = 34117 + -34116.9999948831. What is y rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -13649, -13581, -13469, -13319, -13137?\nAnswer: -12929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1146, 2330, 3514, 4698, 5882?\nAnswer: 7066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 5*n + 0*n - 80 = 0, -5*x - 5*n = -40. What is the remainder when 27 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 + 2 = -2*b. Let h(i) be the third derivative of 1\/360*i**6 - 1\/72*i**4 + 1\/18*i**3 + 0 + 2*i**b - 1\/180*i**5 + 0*i. Determine s, given that h(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 159 = -4*o + 412, 5*o = -3*p + 686. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 282 + -283.54. Let v = -2.04 - z. Let s = 6.2 + -0.2. Which is the third biggest value? (a) 3 (b) v (c) s (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -5*b**3 - b - 1. Let y = 40 + -36. Let o be 3\/y - (1 - (-5)\/(-20)). Suppose o = -7*j - 2*j - 9. Calculate w(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s = 2*s + 208. Let k(i) = i**3 + 7*i**2 - 3*i + 8. Let r be k(-7). Let q = s - r. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 32*i**2 - 28*i**2 - 20*i**2 - 19*i + 8*i**2 - 32*i**2 - 1894 with respect to i.\nAnswer: -80*i - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 809824?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12354 and 1272?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1\/22*-4 + (-14)\/9240. Let o = m - 5\/12. Which is the third biggest value? (a) o (b) -0.5 (c) 4\/7 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-1))**(-2\/21)*(b\/(b\/b**(-8\/7)))\/b**(2\/19))**18 assuming b is positive.\nAnswer: b**(-2760\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6\/(-21) - 46\/(-14). Let s(d) = 4*d**2 + 1. Let i be s(2). Suppose g = -3*u + i, 3*g = g + u + 6. Solve g*q + b*h + 2 = -3, 4*q + h + 4 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 48*k. Let w(y) = 3*y. Let a(g) = 2*m(g) - 33*w(g). Let u(z) = 6*z - z - 6*z. Give u(a(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 4895.852 centuries in millennia?\nAnswer: 489.5852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(980) + sqrt(20) + sqrt(20))\/sqrt(10).\nAnswer: 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -j**2 + 3*j + 5. What is f(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (27*v**2 - 10021*v + 10021*v)*(-2*v + v**3 + 2*v) - 5*v**5 - v + 3*v**5 - 2*v.\nAnswer: 25*v**5 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 3 (b) -2\/5 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 22088543?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -4*i. Let n(x) = -290*x**2. Determine n(q(v)).\nAnswer: -4640*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 27600*0.129\nAnswer: 3560.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) be the third derivative of h**5\/60 - h**4\/6 + 2*h**3\/3 - h**2. Let t be (-1)\/5 + (-484)\/(-20). Suppose 13*z - t = 7*z. Determine j(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -24\/13 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, -16, 5, -6\/479, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 13*f**2*m - f**2*u + 8*f**2 - 3*f*m - 20*f*u + 796*m*u + 104*m - u + 1 wrt u?\nAnswer: -f**2 - 20*f + 796*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 6*h - 5. Let u be t(5). Suppose -u = -5*q + 45. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (0 - 3)*(-307715)\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + ((sqrt(576) - 6*((-3*sqrt(576) - sqrt(576)) + sqrt(576)))*-3)\/(((sqrt(1200)*-3 - sqrt(1200)) + sqrt(1200))*3))**2.\nAnswer: -76*sqrt(3)\/15 + 1519\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + (12 - 10 - -12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 387227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -z + 4*z**2 - 1 + 1 + 2 + z**3 + 5*z**2 in the form m*z**2 + i*z**3 + a + b*z and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u be -5 - 5\/10*-8. Let k(q) = -q**2 - 1. Let w be k(2). Let f = u - w. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u - 11 = -16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 124365242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z**5 - 126219*z**4 + 1327792305*z**3 - 3982241013*z**2 - 504840*z + 5309654700 = 0. What is z?\nAnswer: -1, 2, 21035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*b**5 + 139320*b**3 - 5185518*b**2 wrt b?\nAnswer: 120*b**2 + 835920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 5*v - 6 - 4 = 0, -v = 5*r - 25. Suppose 2*z + 5*i - 10 = 3*z, 4*i - 37 = -r*z. Solve -5*t + z*c + 14 = 2*c, t - 4*c - 13 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3)\/18*4*(715\/66 + -11). What is the nearest to -34\/9 in 11, n, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 72320931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1374561675.\nAnswer: 3, 5, 523, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by 127.\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -5*x**3 - 7*x**2 - 2*x - 2. Let p(b) = b**3 + b**2 + b. What is a(o) + 3*p(o)?\nAnswer: -2*o**3 - 4*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from {s: 1, d: 1, j: 4, g: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 6*j**2 - 251*j - 1111. Calculate p(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -4 (base 8) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - 84\/(-49))\/(-2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19.64*-0.4.\nAnswer: 7.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 76993 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g be (120\/50 + 2\/(-1))*5. What is the fourth biggest value in g, -5, 1\/3, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 91.73 - 96.73. Let q = 16.81 + -17. Let h = 12.19 + q. Sort x, -0.5, h in ascending order.\nAnswer: x, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -12 in -12\/25, 1\/4, 2\/7, -2\/105?\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 125094, 249835, 374222, 498255, 621934, 745259?\nAnswer: 868230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/6 + (-770)\/(-84))*175\/7525?\nAnswer: 10\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 217157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 1, l: 1, d: 1, j: 2}. Give prob of sequence jwld.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-27)\/(-36) - (-142)\/(-8). Let l = 6 - w. Suppose b = l + 64. List the prime factors of b.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(567) + -2*sqrt(567)*-3) - (1 + sqrt(567) + sqrt(567) + -3 + 2))**2.\nAnswer: 1097712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -117*x - 71444 - 188506 = -167*x. What is the thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = y**3 + 12*y**2 + 16*y + 13. Let n be (-3)\/((-8)\/((-400)\/15)). List the prime factors of w(n).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**3 - 944501*w**2 - 223090883424*w - 33219576071424.\nAnswer: -(w + 149)*(w + 472176)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iit when three letters picked without replacement from {t: 8, i: 5, w: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g - 9. Let c be s(-9). Suppose a - 34 = -2*t + 30, c = -3*a + 12. Let z = t + -15. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1947527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - -1) + (-17 - -32) + -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 8*v**4 + v**2 + 4*v - 4. Let f(h) = -h**4 - h + 1. Let o = -1 - -2. Let d(r) = o*b(r) + 4*f(r). Find the third derivative of d(s) wrt s.\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 754 + 3140?\nAnswer: 3894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -878372745 plus 0.3?\nAnswer: -878372744.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**22*r)\/(r\/(r*r*r**(-1\/6))*r))\/(r**(2\/29))**(-11) assuming r is positive.\nAnswer: r**(4105\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -37*y**4 - 6*y**2 - 2 - 5*y**2 + 12*y**2 + 3*y**3 to d*y**2 + s*y + b*y**4 + q*y**3 + j and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d be -9 + 12 - -22997*1. Round d to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**2 - 15*o - 65. Let z be q(20). Let w be z\/20 + 2\/8. Solve -3*b + w*h + 10 = b, 5*b + 3*h - 18 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8440045*l*q*z**2 + 17*l*q*z - 15*l + 1362*z wrt z.\nAnswer: 16880090*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Round -0.00002416 to 7 decimal places.\nAnswer: -0.0000242","meta":{"dup_signals":{},"source":"numbers__round_number_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: Calculate (27\/18)\/(9\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*o + 3*o - 3*o + o**4 + (0*o - o + 8*o)*(2*o - 2*o + o**3).\nAnswer: 8*o**4 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4236626 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23, 27, 33, 41, 51?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*r**2 - 4*r**2 + 0*r**2 + r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -l**3 + 9*l**2 - 11*l - 19. Let s be b(7). Solve -8*j + s*m = -3*j + 10, -2*m + 10 = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n - 6. Let c be x(10). Suppose -m + c*m + 15 = 0. Let f = -3 - m. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4206225 + 0?\nAnswer: 4206225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1707, -1680, -1661, -1656, -1671, -1712, -1785, -1896?\nAnswer: -2051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 18540 = -5*y - u, 3*y + 11112 = -3*u. Let d = y + 14717\/4. Is d less than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 201869 is divided by 10065.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -344757632 divided by 3958\nAnswer: -87104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1 - 12. Let s be 28\/13 + 2\/o. What is the units digit of s\/14 - (-351)\/91?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p - 3*l + 2, 4*l + l = 4*p - 26. Let y be (p + -2)*(-7)\/7. What are the prime factors of (-171)\/y + (-1)\/(-2) + -1?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 4 + 0)*(-8*a + 2*a + 3*a) - 39*a + 84*a - 62*a.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 4, -2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 1541, -0.4, -0.3.\nAnswer: -0.4, -0.3, 1541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j**3\/3 + 8848*j**2\/3 - 2950*j = 0. What is j?\nAnswer: -4425, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 292, 336, 376, 412, 444, 472, 496?\n\"Answer: -2*c**2 + 50*c + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28706*c = -28682*c - 144. Solve 2*n + 17 = 3*m, -n + c + 5 = 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 26.3 + 205.7. Let l = b + -159. Let p = l - 72.99999942. What is p rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -227 + 229. Suppose 5*h = 2*h + 9. Suppose p*v = 3*v - h*a - 24, 62 = 2*v + a. Calculate the greatest common factor of v and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 254 = 136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-6 + 10)\/8 - ((-105)\/(-10))\/7. Let s(g) = -g**2 + 1. Let f(r) = -24*r**2 + 5. Let o(w) = -2*f(w) + 10*s(w). List the prime factors of o(h).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 6*w + 3. Let z(f) = -11*f - 5. Let g(q) = -7*p(q) - 4*z(q). Give g(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 571200 by -420.\nAnswer: -1360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.0146 - 10.9854. Which is the nearest to z? (a) -0.3 (b) -1 (c) -3 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 373 minutes after 12:33 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*i - 153 - 2449 + 2602.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (307*x - 172*x - 161*x)*(0*x - x - 3*x).\nAnswer: 104*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, c: 10}. What is prob of picking 2 c?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3 + 1411?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -971 - -1809. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 2*h. Let z(f) = -238*f**2 + 170*f - 136. Let g(u) = 85*y(u) - z(u). Differentiate g(o) with respect to o.\nAnswer: 476*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1108929?\nAnswer: 3, 373, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.014469 + 63.360669. Let m = g + -63.4. Let k = -0.048 - m. Round k to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3991 - -3991. Solve 0 = 4*z + 6*w - 5*w + 11, z + 3*w = q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -598*o + 1319 - 123. Solve -254*k + 256*k - 31 = 3*w, o*w = -2*k + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 924, -2297, 0.3, 5?\nAnswer: 924","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that 9025*w**4\/4 - 13490*w**3 + 40043*w**2\/2 + 426*w + 9\/4 = 0.\nAnswer: -1\/95, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2 (b) -2 (c) 38298 (d) -5 (e) -0.3 (f) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 738281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = 67 + -168. Let f = p + 144. Is f a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13 - 9. Suppose -y + 1285 = p*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -aa + 9?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qqnf when four letters picked without replacement from {f: 3, c: 4, n: 2, q: 4, y: 3}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2752*s + 2903*s - 307043551. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2447130 is divided by 886?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: 4685 (base 9) to base 14\nAnswer: 13a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 46 + -30. Let j(r) be the first derivative of r**3\/3 - 5*r**2 + r + 12. Let m be j(13). What is the greatest common divisor of i and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:46 AM and 7:50 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 75331 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3094129?\nAnswer: 3094129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*c + 584*l - 35 = 589*l, c - 5 = l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 6\/4*((-251160)\/207)\/(-35)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 59 + -60 + (-1 - -7). Solve -3*s = c*b + 21 + 19, 3*b - 2*s + 5 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 17, 3, -1544, 4, -5, 1\/3.\nAnswer: -1544, -5, 1\/3, 3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9 - -11. Let z = 21636\/11 + -1965. Which is bigger: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -50911, -0.4, -0.5, 0.4, -30?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 15 (base 10) in base 3?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1 - 7. Let k = 24 - x. List the prime factors of 1166\/26 - k\/(-208).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18844.8059 rounded to zero decimal places?\nAnswer: 18845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6 + -4. Let f(h) be the first derivative of -h**4\/12 - h**3\/3 + h**2\/2 - 2*h - 5. Let m(b) be the first derivative of f(b). Give m(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.11236028 to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 9, -13, -3 in decreasing order.\nAnswer: 9, 0, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -5*j + 2725, -5*j - 254 = -2*o - 2979. What are the prime factors of j?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 9, u: 1, s: 1, b: 2, l: 3, y: 3}. What is prob of sequence mllm?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 9*c + 9668 = -4*c, 2*c + 19384 = 4*b. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-172)\/43)\/((-6)\/15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = 5*w - 77 - 48, -4*f = -w + 40. Suppose -l - w = -3*l. What is the highest common divisor of l and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -36608570 - -11?\nAnswer: -36608558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z be 914\/140 + (13 - 16). Let i = 31\/10 - z. Let v = -14 + 13.3. Put -1\/3, i, v in increasing order.\nAnswer: v, i, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*s**2 - 17 - 21*s + 10*s**3 + 27*s - 31 - 13*s**3 in the form h*s**2 + y*s + j + n*s**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4 + 0 + 158\/4)*-2. Let k = 100 + w. Let n = -11 + k. What is the greatest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52 = -3*w + 4*q, 43 = w - 0*q - 5*q. What is the lowest common multiple of w and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-19)\/(-22) + 9\/126*-7. Let 2\/11*x**4 + h*x**3 + 0*x**2 + 0*x + 0 = 0. What is x?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10868911 is divided by 21825.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 105448 divided by 2152?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -14 + 5*d**4 + 26 - 11 - 2*d**4 + 0*d**4 + d**4 + (0*d + 0*d - d**2)*(-11*d**2 - 7*d + 7*d).\nAnswer: 15*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i - 8 = 3*q, 4*i + 4*q - 6 = 6*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 598520044 a multiple of 4271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -164, -169, -174, -179?\n\"Answer: -5*r - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**2 - 4*l - 7. Let s be c(-2). Let d be 2\/(-4) - (515\/(-2))\/s. Let z = -45 + d. Solve z = -q - q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(2 + (sqrt(931)*2 - sqrt(931) - sqrt(931))) + ((1 + sqrt(931))*-6 - (0 + (1*sqrt(931))**2)) + -5 + 2.\nAnswer: -932 - 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -24 + (0 - (-5 - 10))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g**3 + 4*g**2 + 2*g. Let j = 15 - 11. Let q(t) be the second derivative of t**4\/12 - 5*t**3\/6 + 4*t**2 + 35*t - 1. Let u be q(j). Give l(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - h = 0, 2*q - 4*h + 4 = 22. Let n = -24 + 34. Suppose -q*f + n = 1. Solve 5*l - o - f = 3*o, 21 = 4*l + 3*o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2 - -1. Let l = 5.12 - 0.12. Let h = -0.08 + -0.12. Which is the closest to h? (a) m (b) -0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = i - 1. Let t(d) = d**2 + 4*d + 8. Let f(w) = -3*o(w) - t(w). Let k be f(-5). Suppose -36 = -2*z - 38. What is the nearest to z in k, -0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 59154 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 159196078*h**2*t**2*y - h**2*t*y**3 + 30*h**2*t*y - 17255*h**2*y**3 + 2*h*t**2*y**3 + 8*h*t*y**2 + 3*t*y**3 wrt t?\nAnswer: 318392156*h**2*y + 4*h*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (u + u**2 - u)*(-2*u**3 - u**3 + u**3) + 4*u**4 - 4*u**4 - u**5 + (-1 + 1 + 3*u**2)*(4*u**3 + 0*u**3 - 3*u**3) - 552*u**5 - 728*u**5 + 949*u**5.\nAnswer: -331*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*m + m + 3*m)*(m**2 + m - m) + 0*m**3 - 6*m**3 + 4*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2\/107747 + 9805085\/5818338. Let c = -5543\/17892 + 7\/852. What is the common denominator of c and z?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -37035*k**4 - 588*k**3 + 29246270*k**2 wrt k?\nAnswer: -888840*k - 3528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p + 8 + 7. Let s = p + 9. Solve -s*n + 2 + 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -d + 5. Let z be b(6). Calculate the common denominator of 93\/(-12) + (-2)\/(-8) and (z - -2)\/(7\/(-9)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4769, 3070, 1325, -490, -2399?\nAnswer: -4426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42 + 179 - 296 - 8*m.\nAnswer: -8*m - 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 7979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -7, -20, -2.\nAnswer: -20, -7, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1833727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((-15120)\/(-1440))\/(3 - (-133)\/(-42))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*c**2 + 3*c**2 - c**2)*(c**2 - 2*c**2 + 2*c**2) - 2*c + 2*c - 6*c**4)*(19*c + 11 - 11).\nAnswer: -76*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -17.80131 - -17.8. Round h to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 69 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 67 = 13*t. Suppose -t = -11*a + 6*a. Is (-2)\/3 + a + (-452)\/(-12) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4929 (base 12) in base 4?\nAnswer: 2000301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 29589550717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 40*j**3 - 4*j**2 - 3*j - 27. What are the prime factors of n(4)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1.0216 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 3*a + 3. Let k(c) = -3*c - 2. Let b(n) = -5*k(n) - 4*s(n). What is the units digit of b(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 151906 + -448162. List the prime factors of 6\/(-4)*t\/288.\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/8)\/(6\/(-24))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 4*o = -14. What is the common denominator of -31\/18 and 50\/12 + o\/(-112)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -53 = 14795*w - 14808*w + 5*k, -5*w - 4*k - 37 = -10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -52a (base 11) in base 9?\nAnswer: -777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -10242520 + 31242520. Suppose -8*l + 3*l = -n. Round l to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m - 37 = -2*m + 5*u, -22 = 4*m + 2*u. Let s be (-3 - m) + 0\/(-2). Which is smaller: s or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/9? (a) -6\/29 (b) 0.084 (c) -3\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (i + 0*i - 5*i)*(-3*i - 3*i + 2*i) to the form y*i + k + j*i**2 and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply 6172.145 and -0.2.\nAnswer: -1234.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10.46 + -0.46. Which is bigger: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -51168800 rounded to the nearest one hundred thousand?\nAnswer: -51200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = -24 - -90. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (-4*(0 + sqrt(539)) - (-3*sqrt(539) + 2)))**2*3.\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -239*m - 1133300 = -246*m. Round m to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 2*w**3 - 15*w**2 + 6*w - 5. What is g(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -3*o**2 - 3*o. Let l(x) = 2*x**2 + 3*x. Let y(d) = 4*l(d) + 5*n(d). What is the second derivative of y(s) wrt s?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 + -10 + (-7 - -10) - (-1 + -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = p**3 + 10. What is q(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*a*i**3*p - 6*a*i**2*p + a*i + 2*a*p + 79*i**3*p**2 + 33*p**2 + 2 wrt i.\nAnswer: 12*a*i*p - 12*a*p + 474*i*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put together 8.54514265 and 5.\nAnswer: 13.54514265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 12817843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -10068, -41062, -92988, -165840, -259612?\n\"Answer: m**3 - 10472*m**2 + 415*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 926502.2 millilitres in litres?\nAnswer: 926.5022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.12 * -12.\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 79546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d + 4*z + 143, 27 = 2*d + 5*z - 285. Solve d*h = 140*h + 66 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -a + 1. Let z(x) = -7*x + 13. Let j(u) = -6*r(u) + z(u). Let s be j(7). What is n in 0 - 2\/7*n**5 + s*n**2 - 2\/7*n**3 + 4\/7*n**4 + 0*n = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = l**3 + 22*l**2 + 22*l + 23. Let d be a(-21). Solve 0 = 3*v - j + d, 1 + 2 = -2*v + j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.2, 7, -0.09713, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 - -14. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5447104*l**3 - 82037*l + 43?\nAnswer: -32682624*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 540\/(-495)*6\/108\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 7*f - 603 = -4*f, 4*f = g - 304. Calculate the remainder when ((-4)\/(-16))\/(3\/g) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(480) - sqrt(30)) + sqrt(30))*-2)\/(-2*sqrt(600)))**2 - (0 + 5*(-2*(1 + sqrt(180)) - sqrt(180)))**2.\nAnswer: -202996\/5 - 1800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -2*v**2 + 8*v - 10. Let t be (1224\/1020)\/((-6)\/(-10)). Calculate w(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00002182 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1080489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1.718 from -35.\nAnswer: -36.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ggggxggxxxg. What is prob of sequence xxgg?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*l**2 - 3*l**2 + 20*l**3 - 5*l**2.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/7530 and -101\/230?\nAnswer: 173190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be (38 + -1)*10\/10. Calculate the highest common divisor of 407 and c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (29\/5)\/((-36)\/(-20)) - 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.03895, 2, -0.4, 0.3?\nAnswer: 0.03895","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -837\/5 + 15868\/95. Do p and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j**5 + j**4 + j - 1. Let d be -3*(4 - 3 - 2\/6). Let f(x) = 10*x**5 - 54*x**4 + 88*x**3 - 48*x**2 - 2*x + 6. Let y(u) = d*p(u) + f(u). Factor y(l).\nAnswer: 4*(l - 2)*(l - 1)**3*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -55, -5, 1, 18, -38.\nAnswer: -55, -38, -5, 1, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*p**5 - 4090*p**4 + 53365*p**3 - 69530*p**2 - 104080*p + 124320 = 0.\nAnswer: -4\/3, 1, 2, 12, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 16991 and 47395741?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:24 AM and 2:22 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 114986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the second derivative of -j**6\/144 + 5*j**4\/12 - j. Let n(u) be the third derivative of w(u). Let a(h) = 4*h - 4*h - h**2. Give n(a(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3339966971\/232028 + 1022305\/71. Let n = 214\/43 - m. Find the common denominator of 5\/22 and n.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52*(-1755)\/(-52) + 0 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -62*p - 3. Let q(b) = 31*b + 1. Give 7*q(c) + 3*v(c).\nAnswer: 31*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 175 - 83 - 92 + 688*c**2.\nAnswer: 688*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -10, -38, -84, -148, -230, -330, -448?\n\"Answer: -9*x**2 - x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 372851\/30 - 12427. What is the common denominator of -65\/294 and p?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*c**3 + 12*c**3 - 2*c**3 + 0*c**3 + 2*c**3 - 4*c**3 + (c**3 - 3*c**3 + 3*c**3)*(-1 - 1 + 1).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(3\/2)*a)\/a)**(-2\/19) assuming a is positive.\nAnswer: a**(-3\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 3*b**3 + 3*b**2 + 2*b. Let a be j(4). Let h = 1509 - a. Suppose h = 6*i - 3*i + 4*w, 2*w - 1678 = -4*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 15 + -2 - (-5 - -6). Let w = k - 9. List the prime factors of (-10)\/1*(-1 - w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*f + 50*f - 1320. What is the lowest common multiple of 2\/3*(-90)\/(-4) and f?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p**3 + p**2 - p - 1. Let d(a) be the third derivative of 7*a**6\/120 - a**5\/60 + a**4\/8 + a**3 - 26*a**2. Let l(u) = -d(u) - 6*v(u). Give l(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.65 times 83?\nAnswer: -53.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**2 + 36*x - 285. Let y be r(12). Which is the nearest to -1? (a) y (b) -2\/9 (c) -16\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -3238, 3\/11, 3.2?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1320\/150)\/((-2)\/(-250)). Suppose -42*j + 43*j - t = 0. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -3. Let n(f) be the third derivative of f**4\/8 + f**3 - 5*f**2 - 12. Let r(c) = 2*d(c) + n(c). Let g(w) = -57*w**2. Determine g(r(o)).\nAnswer: -513*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -21.3 + 20.3. Put j, 12, 8\/11, -0.3 in ascending order.\nAnswer: j, -0.3, 8\/11, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2 + (-5)\/((-630)\/(-7233)). Let w = i - -166\/3. Is w equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 484 (base 16) to base 7\nAnswer: 3241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -q + 2*s + 898 - 35, 0 = 4*q - 5*s - 3440. Is q bigger than 855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3573)\/(-189) - (-418)\/(-22)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -52, -839, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/18 and -67\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 9*g - 1. Let m(i) = i. Let b(k) = -2*k - 12. Let p(l) = -l - 14. Let f be p(-11). Let y be b(f). Give y*m(q) + h(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -59301 - -59301. Factor 5*r - 7\/2*r**2 + 1\/2*r**4 + l - 2*r**3.\nAnswer: r*(r - 5)*(r - 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -660 (b) 40 (c) 21 (d) -3\/5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 46*b**2 + 11*b**2 - 207*b**2 - b**2 + 2*b**2 + 4*b**2 + (-2*b - 1 + 1)*(b - 3*b + b).\nAnswer: -143*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = -15*i + 480. Suppose i*u = 8*u + 5552. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 731804873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -989\/546 - 2\/91. Find the common denominator of -31\/14 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 1122\/2155?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -12*p. Let j(y) be the second derivative of y**4\/3 - 12*y. Calculate g(j(w)).\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -4*u. Suppose -45*k = -47*k + 12. Let x be 11\/((15\/k + -2)*2). Let j(h) = 21*h. Let l(i) = x*d(i) + 2*j(i). Let t(z) = 12*z**2 + 1. What is t(l(v))?\nAnswer: 48*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -34 + 34. Let b be 1 - (4 - q - 50). What is b rounded to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 256*q**3 + 5*q**2 - 6*q + 6. Let d be l(4). Suppose 221*h - 355 = 182 + 126. Suppose d = 3*n + h*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(170)*2 - 2*sqrt(170)*-1)\/(sqrt(160)*-1*5).\nAnswer: -3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -1025 (base 8) to base 16.\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 25569, 25563, 25557, 25551?\nAnswer: 25545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) + -1)*-3 + (3*-1*sqrt(19))**2.\nAnswer: -3*sqrt(19) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -23 or -20?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 666 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -1983602 by -8777.\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.20559738 to 3 dps.\nAnswer: 0.206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 7*w**2 + 21*w + 17. Let y(g) = 2*g**2 - 1. Let n(b) = -l(b) + 3*y(b). What is q in n(q) = 0?\nAnswer: -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x**3 - 8687877*x**2 - 17375763*x - 8687883 = 0.\nAnswer: -1, 2895961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 25532 - 4?\nAnswer: 25529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -46 (base 8) in base 15?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -8*f + 97. Let l be i(13). Let d(k) = -2*k**2 - 12*k + 20. Let c be d(l). Put 1\/8, c, -0.3, 0 in increasing order.\nAnswer: -0.3, 0, 1\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -8613908, -8613896, -8613870, -8613824, -8613752?\n\"Answer: u**3 + u**2 + 2*u - 8613912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 640\/(-2632) - (-7)\/((-490)\/(-20)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.081 + -693.081. Let a = d + 723.3. What is a rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.085 - 0.915. What is the nearest to 5 in 1\/4, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (1 + (-16)\/12)\/(3 - 40\/15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 49, 127, 267, 475, 757?\n\"Answer: o**3 + 25*o**2 - 4*o + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -627177 + 628046 = -79*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 415*p**2 - 415*p**2 + 5*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -14\/493 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00137257268 rounded to six dps?\nAnswer: 0.001373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -8*u**2 + u + 1. Suppose -4 = 2*c - 2. Determine a(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -11735, -5, -4 in ascending order.\nAnswer: -11735, -5, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*((sqrt(154) - -1*sqrt(154) - sqrt(154))\/sqrt(11) - sqrt(14))\/(sqrt(18) - 5*sqrt(18)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1486 is divided by 94.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.04 and -1322.\nAnswer: -1321.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -7*h**3 - 3*h**2 + 11*h + 2. Let r(c) = c**3 + c - 1. Let f(p) = -4*r(p) + t(p). Is f(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 227.9 minus -0.6?\nAnswer: 228.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -36780 + 36780.00000032677. Round r to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1587674 is divided by 55?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((sqrt(180) + 1)*4 + (-1 + sqrt(180))*-4)**2*6.\nAnswer: 1920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-16)\/(-6)*(-6)\/4. Let r be (4\/(-12))\/(1\/(-18)) - m. Solve 0 = -2*j - 0 + r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.2*26.3\nAnswer: -5.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 90664 is divided by 417?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, -23, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 9 + (-15 - 1) + (-82 - -163)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express v - 31 + 23 + 3*v**2 + 7 + 4 in the form y*v + n*v**2 + l and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5297*m + 4621*m + 14872 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000759 to seven decimal places.\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -21724123.4+0.1203\nAnswer: -21724123.2797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the second derivative of z**4\/66 + 98*z**3\/33 + 2401*z**2\/11 - 206*z. Suppose x(d) = 0. What is d?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) be the third derivative of 0*d + 1\/20*d**5 + 11*d**2 + 1\/2*d**4 + 0 + 2*d**3. Factor p(y).\nAnswer: 3*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 4 + 144*f**2 - 292*f**2 + 149*f**2 + 0. Let n(b) = 2*b**2 + 8. What is -5*c(m) + 2*n(m)?\nAnswer: -m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 63962 - 131926 = 64*b - 61884 for b.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = 2*n - 5*a, 2*n + 10 = -275*a + 279*a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2 - 2\/1)*1. Suppose 4*s - 11 = -k*q + 3*q, -3*s = 2*q - 4. Does 12 divide 1\/q*4*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.14 + -0.31. Let w = 261.37 - 261. Let g = w + t. Which is the nearest to -0.1? (a) g (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 363 + -258. Let f be (-2)\/((-2)\/q*3). Suppose 0 = -3*z - 4*c + f, -z + 2*c = -0*c + 5. Solve 3*h - 2*y + 8 = 0, -3*h - z*y - 2 = -y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -3*u**2 - 52*u - 92. Give t(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 96 minutes before 5:53 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 3561432 by -3561432.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6 + -4.5. Let r = 16 - y. Let i = -13 + r. What is i rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 116 and 435.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes before 1:10 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1095122990 rounded to the nearest one million?\nAnswer: 1095000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1580 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 17\/91 and 76\/777?\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.197 - 0.185. Let w = u - -0.3820159. Round w to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 12 - 7. Let l = 7 - z. Let f = 433 + -3033\/7. Which is the fourth smallest value? (a) l (b) 0.4 (c) f (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = -8, v = -5*b - 3*v + 117. Suppose 0 = -2*g + b - 61. Let m be ((-16)\/(-6))\/((-1)\/g). Calculate the highest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = 14 + 2. Solve 0 = -6*w + k*w + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 19217 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -10011110110 (base 2) to base 11\nAnswer: -a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 44, 1\/5, 5, 1\/6, 1\/7 in increasing order.\nAnswer: 1\/7, 1\/6, 1\/5, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (2*sqrt(200) - sqrt(6)\/(1*sqrt(3)) - ((sqrt(2) + sqrt(2) + 1)**2*-3 + -2)) + 4.\nAnswer: 38 + 31*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-19*o**4 - 2*o**2 + 11*o**4 - 4*o**4)*(0 + 0 - 1)*(-15 - 24 + 12) to i*o + z*o**2 + f*o**3 + h + g*o**4 and give z.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:10 AM and 10:23 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1212 + -1271.1. Let r = 149 + -90. Let t = r + y. Put 5, t, -1\/3 in ascending order.\nAnswer: -1\/3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -52878 and 3.\nAnswer: -158634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 542337647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 7708 and 14432?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 122 - 61. Suppose 3*u - 6 = -3*x, -11*x - 2*u + 13 = -6*x. Suppose -o - 38 = -x*w. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the first derivative of 0*h**2 + 1 + 1\/12*h**3 - h + 1\/24*h**4. Let s(q) be the first derivative of b(q). What is x in s(x) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 8 = 0, 4*q - 6*f + 2*f = 84. Sort 0.3, 1\/5, q.\nAnswer: 1\/5, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10010110101011 (base 2) to base 6.\nAnswer: -112351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10891 is divided by 738.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/((-1)\/(-9)*3). Let j be (-8)\/v - 1\/3. Let u be (-2)\/j*(-15)\/10. Which is greater: 4 or u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 41*v + 2981 - 9*v - 5961 + 2976 as x*v + l and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3562463 + -4?\nAnswer: -3562500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -8*y - 1. Suppose 3*s + 6 = -6. Let b(n) = -7*n - 2. Let l(u) = s*b(u) + 3*c(u). Is l(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00061172 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that 2*o**2 - 8411158*o + 8411156 = 0.\nAnswer: 1, 4205578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the second derivative of 5*y**5\/4 + 3*y**2\/2 - 18*y. What is the derivative of q(n) wrt n?\nAnswer: 75*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 90 and 1590.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1.92 take away 73354862?\nAnswer: -73354860.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 298*b - 3*b + 1021*b.\nAnswer: 1316*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x\/(x**0\/x)*x)\/x)\/(x**(-12)*x)*(x\/x**(-4))**(-50) assuming x is positive.\nAnswer: x**(-236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j**3 + 8*j**2 - 10*j - 10. Let x be k(6). Let w = 1 - -2. Solve -w = -x*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/2? (a) -10\/73 (b) -0.091 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*l**3 + 2*l**3 + 0*l**3)*(0 + 1 - 2 + 2 - 3 + 0 + (0 - 1 - 1)*(1 - 4 + 1) + 1 - 2 + 2) - 5*l**3 + l**3 + 3*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3434489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -15 + 23 + -5 - -7 - (-45 - 3).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 45*l**2 + 2*l**3 - 2*l**3 - 34*l**2 - 10*l**2 + 8*l - l**4 as k*l + r*l**2 + a*l**4 + o + p*l**3 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-22*n - 6*n + 4*n)*(0 + 5 - 3)*(-3*n + 7 - 7).\nAnswer: 144*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*w**2 - 1035*w - 1030.\nAnswer: -5*(w + 1)*(w + 206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -46, -1, 2\/7, 5, 18\/11, 0 in ascending order.\nAnswer: -46, -1, 0, 2\/7, 18\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 11\/5707 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3234 and 5880.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*i + 2 - 2*i + i - 1.\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -2*f**2 + 4*f + 3. Suppose 0 = 6*v - 51 + 45. Let l(g) = 3*g + 1 - g**2 + g - 3*g. Give v*p(z) - 3*l(z).\nAnswer: z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-1)\/2)\/((18\/(-292))\/9). Let j = -185 + 56. Let p = y - j. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 130 and 234?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/139 in -2, 2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 6 + 0 + -1 + 0. Let b(h) = -2*h - 35. Let m be b(-18). Suppose 4*k + k + 4 = 4*s, -m = -s + 5*k. Solve j*a - s = -6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q**3 + 719*q**2 + 116374*q + 115656 = 0. Calculate q.\nAnswer: -474, -244, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose k**4\/7 - 311*k**3\/7 + 3033*k**2\/7 - 991*k + 602 = 0. What is k?\nAnswer: 1, 2, 7, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = -0*r + 4*r - 23, -4*r + 2 = 2*y. Let w = -8 + y. Let j be (2 + 0 + w)\/(-1). Let z(f) = -2*f**2 - f. What is z(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 911 is divided by 93.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*w - 75 = -4*c, 0 = -4*c - 981 + 1005 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -d**3 + 4*d**2 + 6*d + 4. Let g(t) = 7*t**2 + 4*t + 3. Let p = 0 + -1. Let o be g(p). Give x(o).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -915, -1816, -2697, -3552, -4375?\nAnswer: -5160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2732054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wv when two letters picked without replacement from wvwvvvvvvv?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -26 - -26.8. Let j = -1.2 - z. Sort 15, j, 0.5 in descending order.\nAnswer: 15, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 2*k - 5 = 0. Suppose 2234 + 1963 = 108*q + 1281. Calculate the remainder when q is divided by (5\/10)\/(k\/(-16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the third derivative of 15*m**8\/56 + 1367*m**7\/105 - 72*m**6\/5 + 62*m**5\/15 + 20*m**2 + 28*m - 2. Solve k(z) = 0 for z.\nAnswer: -31, 0, 2\/9, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3193*0.35\nAnswer: -0.111755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*d + d - 140. Is 20 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/(-3) + (-5)\/(-9). Let x = 55 - 50.8. Let m = x + -4.3. What is the nearest to m in -4, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2)\/4*(3 + -1). Let j be 122 - ((-1)\/(-1) - d). Suppose -5*v + 3*u + 162 = 0, -3*v + u + j = 22. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) be the second derivative of 0*c**4 + 0*c**5 + 1\/72*c**6 - 5\/3*c**3 - 7*c + 0 + 0*c**2. Let g(t) be the second derivative of p(t). Factor g(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4043723l to millilitres.\nAnswer: 404.3723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 64 = 92*z - 108*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -18 - -25. Let c(t) = -t**3 + 6*t**2 - 7*t + 4. Calculate the remainder when (3 + -1)*(0 + j) is divided by c(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1*6\/54)\/(20\/(-270)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 142 minutes after 9:45 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) be the third derivative of d**4\/12 + 11*d**3\/6 + 22*d**2. Let c be o(-4). Sort -3, c, -4 in increasing order.\nAnswer: -4, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -422*m**3 + 2*m**2 + 60*m wrt m.\nAnswer: -2532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.9 + -7.9. Let l be (-4)\/86 + 7266\/903. What is the second smallest value in -1\/2, l, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 345623 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2 + -3d0?\nAnswer: -3d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 58968921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is (339\/(-15))\/((-6)\/30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7745842618?\nAnswer: 2, 23, 168387883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.057 - 15.943. Let x = 15.5 + j. Which is the third smallest value? (a) 0 (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*z**3 - 6*z**3 - 3*z**3 - 3*z**3.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 4*d + d - 7*d. Let k(j) = 7*j**2. Let m(c) = -3*c**2. Let r(q) = 2*k(q) + 5*m(q). Calculate g(r(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = 9.2889 - 0.2889. Sort -1, 7, b, 1\/7.\nAnswer: -1, 1\/7, 7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = -4*r + 8. Calculate the remainder when 22 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 220 - 76. Let q = -84 + n. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -261*c - 3*s = -262*c - 13, -2*c - 4 = 5*s for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -100 + -5?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1\/7 (c) 0.038 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -2\/5, 5, 3\/5, 1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1 + -2.31. Round o to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4\/15 (b) -0.21678 (c) -8\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -194 + 197. Suppose g - 950 = -u*g + p, 5*g - 1177 = -4*p. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**2 + 7*s + 1. Let j be y(-3). Let a = j + 44. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) be the third derivative of -f**9\/252 - 287*f**6\/120 - 8*f**5\/3 - f**3\/6 + 2*f**2 - 155. Find the third derivative of b(q) wrt q.\nAnswer: -240*q**3 - 1722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 361 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -8186*a - 42. Let g be d(3). Round g to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 71 + 215 = -3*r, -2*r = -4*t + 118. Let f = r + 88. Suppose f*b = 39*b - 420. Calculate the highest common factor of 42 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -27*k - 43. Let w(h) = 16*h + 43. Determine 5*g(x) + 6*w(x).\nAnswer: -39*x + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5402 (b) 4 (c) -3990\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -6789b8 + -18?\nAnswer: -678a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 12122 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be (0 + -6)\/((-21)\/(-14)). Let l(t) = -t - 2. Let z be l(n). Suppose 3*u - z = -2*v + 16, -5*u + 2*v = -46. Is u bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -274*p - 36. Let t be z(-1). What is the greatest common factor of t and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) 0.05 (c) 0.1 (d) -3 (e) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 3*g**3 + 33*g**2 - 2*g - 77. Calculate a(-11).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v**3 - 5*v**2 - 3*v - 8. Let x be a(6). Suppose 4*m + 12 = x*m. Solve 0 = 3*p - 2*w - m*w - 27, -w = 3*p - 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 259254?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = -7*f + 3*f + 40, 2*f = -5*c + 29. Let d(b) = 4*b - 22. Let u be d(f). Find the common denominator of -19\/4 and 3\/6*u + (-23)\/(-21).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 95 + -91. Let f(y) be the third derivative of 0*y - 1\/24*y**d + 5*y**2 - 1\/20*y**5 + 1\/3*y**3 + 0. Calculate f(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 + (-3 - -1) - (5 - 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 238542569?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 68 and 764.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rwrbbuoa. Give prob of sequence arbw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/2239692 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 136 = 4*p - 8*p. Let m = 111 + p. Calculate the remainder when m is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5 in -74\/9, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*o = 5657 - 5410 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -35*s + 78*s**3 - 80*s**3 + 53 + 4*s**4 - 37*s + 71*s - s**2 to the form h*s**2 + x*s + r + c*s**4 + f*s**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: ((-2244)\/816)\/((-66)\/12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -88\/255? (a) -6\/19 (b) -0.3 (c) 0.1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) -0.5 (b) 4\/9 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*f**2 + 2377792*f - 4755568.\nAnswer: -4*(f - 594446)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {b: 2, m: 1, x: 2, f: 5, i: 2, w: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -aa + 390c19?\nAnswer: 390b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 164 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o**2 - 48*o + 288 = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 6 = 5*i. Let l(a) = a**2 + a + 5. Let g be l(0). Suppose w = g*m - 26, -w + 10 = 11. Is m bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1160 is divided by 191?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1911840460, -1911840463, -1911840476, -1911840505, -1911840556, -1911840635, -1911840748, -1911840901?\nAnswer: -1911841100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 457462 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -2028*z - 17855 - 26147 = 2642 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -975 = -229*t + 475 + 382 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be -14 + 2 + (-2)\/2. Let r = 15 + v. What is the closest to r in -0.2, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 339415530 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -2\/21, 2\/7, 0.4, -11\/7?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.03 (b) 4 (c) -3\/5 (d) -1\/4 (e) -13306\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -2*x - 2. Let a(p) = -6*p - 5. Suppose -2*c + 6 = l - 3*c, -c = 4*l - 34. What is l*z(j) - 3*a(j)?\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 13 - 8. Suppose 0 = -x*c - 2*p + 18, 3*c - p = 4 + 9. What is the derivative of -3 + 4*j - 4*j + 2*j**c wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = 2*q - 2, q = -3*q + k - 24. Suppose 0 = -f - 17 + 20. Sort 0, f, q in increasing order.\nAnswer: q, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*((sqrt(405) + 0)*2*-3 + 6*(sqrt(405)*-1 + 3)))**2.\nAnswer: -34992*sqrt(5) + 527796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -x**3 + 11*x**2 + 11*x + 12. Let o be i(12). Suppose o = 5*v + 3 - 43. Let j = v - 6. Solve -5*r = -w - 0*w + 4, 0 = r - j*w + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = w**2 - 12*w + 32. Let r be ((-24)\/15)\/((-1)\/(10\/2)). Let l be c(r). What is the hundreds digit of (l - (-5 + 4))*223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (16\/12)\/((-2)\/3). Let u(x) be the second derivative of -1\/2*x**2 + 1\/3*x**3 + 5\/12*x**4 + 0 + 10*x. Determine u(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(325) + 4 + (sqrt(325) + 0)**2 + (1*sqrt(325) + 5)**2.\nAnswer: 55*sqrt(13) + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/(z*z**10*z))\/(z**4\/z))**50\/(z**(-9)\/z*z*z*z**(2\/3))**(-1\/4) assuming z is positive.\nAnswer: z**(-4211\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = t**3 - 58*t**2 - 66*t + 278. What is o(59)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-2394)\/105)\/((-2)\/1065). Suppose -2*c = -21*c + v. What are the prime factors of c?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2 + (2 - 0) - -1. Let v = 2 + l. Let f(r) = r + 4. Calculate the remainder when v is divided by f(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -o - 4*o. Suppose o = 9*i - 8*i. Do i and -6\/59 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -24*y**4 - 119 wrt y?\nAnswer: -96*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1.9 < -8\/19135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 28286 times 8?\nAnswer: 226288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -2*o**2 + o - 2. Suppose -3*c + 3*j + 6 = 0, -4*j + 0*j - 15 = 3*c. Let i(k) = k**2 - k. What is c*q(l) - 4*i(l)?\nAnswer: -2*l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.05873 + 0.91537. Let r = -0.28218 - u. Let b = r - -1.14. Round b to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 364351291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes after 8:40 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.002267 rounded to four dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-5 + sqrt(17)*-1) + ((-1*sqrt(425))**2 + sqrt(17) - (5 + sqrt(68)\/sqrt(4))).\nAnswer: sqrt(17) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4784 - 4849 - (-72 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 1062*j**3 - 12*j**2 + 33*j - 2. Is m(2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -73193 equal to -73193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 91301?\nAnswer: 7, 13043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 110110 (base 2) to base 6.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2\/105 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from cacccccccnccaac?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 2*q**2. Let k(w) = 4*w**2 - 3*w - 3. Let z(j) = j**2 - j - 1. Let s(y) = y**2 + 2*y - 2. Let u be s(-3). Let x(p) = u*k(p) - 3*z(p). Give l(x(b)).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -9*w**2 - 18*w - 22. Calculate n(-3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from xvpvpxpxppxvxpx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b**(1\/7)\/b))**(20\/3) assuming b is positive.\nAnswer: b**(260\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 2*i. Let k(a) be the second derivative of 2*a + 0*a**2 + 0 - 1\/12*a**4 + 0*a**3. Give x(k(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 9400 a multiple of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the second derivative of y**4\/12 + y**3\/2 + 3*y**2\/2 + y - 2. What is p(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 + 0 = -8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4658918*a**4 + a + 26937382?\nAnswer: 55907016*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 31 + -27. Suppose -2*p = -4*u + 2, -2*u + 4*p - 5*p - 1 = 0. Suppose u*j - f = -2*j. What is the remainder when j is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 24*z - 4 + 4 - 2 + 18*z**3 + 3*z**2 - 23*z as r*z + s*z**2 + t + b*z**3 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 114578?\nAnswer: 2, 59, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:25 PM and 6:17 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l**2 + 6*l - 5. Suppose 42 = -7*w - 0. What is g(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - -4 - (34 + -33).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -162*x**5\/13 + 36*x**4 + 490*x**3\/13 - 1628*x**2\/13 + 1024*x\/13 - 192\/13 = 0. Calculate x.\nAnswer: -2, 4\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 9\/2, -0.07, 0.0328?\nAnswer: 0.0328","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + r = -3, 2*r + 4 = 3*m. Let n(g) = -55*g**m - 11 + 27*g**2 + 51*g**2 + 5*g. Is n(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.2 + 4.3. Let d = 2155525.9000022 - 2155529. Let g = d + a. What is g rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 484000 and 5148.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 353888 is divided by 70766?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + a = -14, u - 3*a = 2*u + 3. Suppose g - u*g = -8. Calculate the remainder when 10 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 362228003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -145892*f = -145896*f + 388 for f.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b + 3*f - 10 - 2 = 0, 2*f = 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 8 = -2*a, -5*a - 2*h = h - 22. Suppose 2*m - 4*q - 6 = 0, m - q + 1 = -2*m. What is the remainder when a is divided by (-2)\/m + (-6)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 5*d = -170, -15 - 59 = -2*w + 5*d. Solve -13*f - w = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 73 - 52. What is the remainder when 82 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1 + -1 - (-2)\/5. Suppose -2*j + 308 = 152. Suppose -j = -9*m - 6. Sort y, 1, m in descending order.\nAnswer: m, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 90*h**3*m**3*s - h*s + 7*m**3 + 45*m*s wrt h.\nAnswer: 270*h**2*m**3*s - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 70624549*f**3 - 2238360*f + 2.\nAnswer: 423747294*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3583 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 514 (base 9) in base 16?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(2\/5)*n\/n**(-1\/3)*n**(-1\/3)*n**5\/n)**(-34) assuming n is positive.\nAnswer: n**(-918\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find x such that -5*x**5 - 30*x**4 - 70*x**3 - 80*x**2 - 45*x - 10 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 9.566059ng?\nAnswer: 0.000000000009566059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 3 times 27288\nAnswer: 81864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18763 is divided by 567?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7*x**3 + 54*x**3 + x**3)*(-1 + 4 + 0) to the form o + w*x**3 + z*x**2 + q*x and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -6*j + 12. Let i(h) = 5*h - 13. What is 4*b(m) + 5*i(m)?\nAnswer: m - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -146?\nAnswer: 5\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/(-2)*42\/(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.20714 and -1.5166?\nAnswer: 1.72374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -300*f + 321*f + 273 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -8*q**3 + 21*q + 9. Let m(y) = -2*y**3 + 5*y + 2. Determine 2*f(w) - 9*m(w).\nAnswer: 2*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -3\/45301?\nAnswer: -3\/45301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in fifty-nine fifths of a kilogram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be -3*(-3269100130)\/(-30) + 13. What is s rounded to the nearest one million?\nAnswer: -327000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**2 - 154*y + 773. Determine b(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-1))**(-23) assuming w is positive.\nAnswer: w**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 50.82 - 50.822815. Round x to four decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 66 (b) 0.5 (c) 73 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.06 + -0.12. Let v = j - -0.58. Let l = 3 - 2.9. What is the nearest to l in 2, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 82 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the second derivative of 34*z**6\/15 - z**3\/3 - 13*z**2 - z - 30. Find the second derivative of l(a) wrt a.\nAnswer: 816*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (188 - 2*w - 186 + 9*w)*(w + 2*w + 0*w).\nAnswer: 21*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.397 + 155?\nAnswer: 154.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 53890961.\nAnswer: 29, 1858309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 27783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from gwgwowwho.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(1\/2)*z*z*z**(-2\/25))\/(z**(-6)\/(z*z**(1\/8))) assuming z is positive.\nAnswer: z**(1909\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = f**3. Let v = 37 - 26. Suppose 0 = v*x - 62 - 4. Let i(z) = 4*z**3 + z + 1. Determine x*u(o) - i(o).\nAnswer: 2*o**3 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -497 = -3*h - u - 4*u, 2*u - 644 = -4*h. Let m = 181 - h. Calculate the lowest common multiple of m and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 1656 - 1431.9\nAnswer: 224.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 53.76 - 0.03\nAnswer: 53.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -305, -363, -375, -317, -165, 105, 517, 1095?\n\"Answer: 4*l**3 - l**2 - 83*l - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 107644567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-7 + 1)*(0 - 1). Suppose 7*x = w*x. Is x greater than or equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -43027.33143 + 43027. Let l = u + 0.327. Round l to four decimal places.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 36882534 and 3583014.\nAnswer: 40465548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of 2.6 and -33.3781.\nAnswer: -86.78306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2850, -11395, -25636, -45573, -71206, -102535?\n\"Answer: -2848*m**2 - m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 241*g + 3862. What is the tens digit of y(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2*(-2)\/(-12))\/((-1)\/3). Let o = 3 + j. Suppose -o*q + 45 = -5*l, 3*q - 25 - 10 = 5*l. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = -0*d - 250. Suppose 18 = -2*f + d. Is 23980\/f - (1\/(-4) - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5465 and 4372.\nAnswer: 21860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4677 - -4678. Let m = -0.3 - 0. What is the nearest to m in b, -6\/11, -4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 361*j**2. Let x(p) = -9*p + 8*p - 15 + 12 + 3. Give t(x(v)).\nAnswer: 361*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 11*h - 58. Calculate q(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -144*h**3 + 45*h**2 + 45*h. Let l(f) = 13*f**3 - 4*f**2 - 4*f. Calculate 45*l(p) + 4*t(p).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -3*l**4 - 1841*l**2 + 7*l - 2 + 1840*l**2 + 5*l**3 - 7*l**3 + l**4 in the form x + t*l**2 + m*l**3 + k*l**4 + w*l and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) -2\/11 (b) -5 (c) 486\/79 (d) -0.1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 8856 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 20 minutes before 1:41 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 721261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = -12107\/60 + 1051\/5. Find the common denominator of p and 101\/898.\nAnswer: 5388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -6363552 divided by 3181776\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Add -72854 and 0.\nAnswer: -72854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 29111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y*(y\/(y*y\/(y*y\/y**(-3\/5)*y)))\/y)\/y*(y\/(y*y**3*y*y*y))\/y)\/((y*y**(3\/2)\/y)\/(((y*y**28)\/y)\/y)) assuming y is positive.\nAnswer: y**(211\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*o + 1124 = -31*o. Suppose -14*r = -404 - o. List the prime factors of r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:44 PM and 4:06 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = -9 - -15. Let o = -280 - -139. Does 11 divide (-3)\/6 - o\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -2*o - 8. Let i be y(-6). Let d(q) = q**2 - 16*q - 4. Let t be d(16). Let k = t + i. Which is greater: -1\/3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -259 (base 10) in base 5?\nAnswer: -2014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -49*k**2*v**2 + 12*k**2*v - k*v**2 - 137*v**2 wrt k?\nAnswer: -98*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 1, h: 2, l: 3, b: 1, n: 7}. What is prob of sequence hlh?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -123*j - 8 = -125*j, 5*v - 10*j - 160 = 0. What is the remainder when 5037 is divided by v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 393 = -2*h + 1235, 6*h - 4884 = -4*w. What is the highest common divisor of h and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.006133598034 to seven dps.\nAnswer: -0.0061336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y**3 - 3 + 3 + 4 - 6 + 2*y - 4*y**2. Let j be l(-5). What is the greatest common divisor of j and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 54 = -v - 4*v, 2*h = 3*v + 28. Is 21833 - (14\/(-35) + (-4)\/v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 4845.129 hours?\nAnswer: 17442464400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = 2*x - 1055, -2*x - 422 = -13*w + 11*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -5*g**2. Let j(x) be the first derivative of 0*x**3 + 1\/12*x**4 + 0*x**2 - 1 + 7*x. Let a(t) be the first derivative of j(t). Calculate a(u(i)).\nAnswer: 25*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 1139, 1136, 1133, 1130?\n\"Answer: -3*j + 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**3 + 6*d**2 - 7*d - 4. Let u be p(3). What is the third derivative of -1777*b - b**3 + 124*b**3 + 7*b**u + 1772*b wrt b?\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (2 + (-64)\/38)*4\/(-17 - -25)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 287 and 103594700?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + 9 + -11 + -11 + 18?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**2 - 16*s - 35. What is r(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -g - 1 - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -225604\/33 - -6837. Suppose -4*n = -3*r + 96, 5*r + 10 = -2*n - 12. What is the common denominator of d and (4872\/126)\/(n + 2\/(-2))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 - 30 = 2*f. Let g be (36 - f)\/(-3 - -4). Suppose -3*z = -2*i - 504, -2*z + i + g = -298. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w**4 + 899708*w**3 - 134916312720*w**2 + 6744601287821348*w - 87657017861429198 = 0 for w.\nAnswer: 13, 149947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2651\/7 + -379. Suppose -62 = 3*v + 70. Let o = v + 304\/7. Which is the nearest to -1\/2? (a) t (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uu when two letters picked without replacement from {p: 4, u: 2, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 50 = -4*r, 4*j + 6*r = r + 305. What is the smallest common multiple of 16 and j?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 10.089 from 876.\nAnswer: 865.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put together 180622.9 and 678442.\nAnswer: 859064.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 304668 divided by -2418\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 150 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u - 3*c + 35 = 0, -c = -u - 2*c - 7 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m**4\/5 + 154*m**3\/5 - 424*m**2\/5 - 296*m = 0. Calculate m.\nAnswer: -2, 0, 5, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.44 and 71?\nAnswer: -31.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -333012311 (base 4) to base 10.\nAnswer: -258485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 281435 = 4*u - y, -5148*u + 5143*u = -3*y - 351792. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 587\/708 - -1\/236. Let r(z) be the second derivative of h*z**3 + 0 + 3*z + 1\/2*z**2. Determine r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 5*w = -25, -4*w = -3*l - 3*w + 7. Solve -l = 3*z - 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1336650 to the power of 1\/2, to the nearest integer?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3172 - 402.\nAnswer: -3574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -833*h**5 - 3*h**2 - 34*h + 2 wrt h?\nAnswer: -49980*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 269\/1934?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l**2 - 176*l - 5714. Let w be j(204). Which is the closest to -1\/4? (a) w (b) -2332 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n = 0, -121 - 1099 - 1027 = 321*y - 3*n for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1127 a factor of 561480815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = 0, 2*r + 3*r - 3475 = 20*g + 86725. Is r a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 534 + -527. Solve 6*a = q*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 142*g - 593273 = 54*g + 152615. Is g a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.3 + -2.6. Let l = -2 - d. What is the second biggest value in 0.1, 1\/5, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1406727 is divided by 468881.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 0.5, 5, -176\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 4, s: 2, x: 1, q: 3}. Give prob of sequence qsq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 18 - 2. Let g(l) = -2*l**2 - 6*l + 2. Let x be g(-3). Suppose -6 = -q - x*q. Solve -q*c + p = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 552420514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 146 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1073 and 851?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41 + 29 = 5*l. Let b(y) = 4*y + 14. Let p be b(l). Suppose -48 = -2*q + 5*t, -58 = -5*q - 2*t + 4. Calculate the highest common divisor of p and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 3 = 21. Suppose -v*k = -3*k - 69. Is (-5)\/((1\/k)\/(-1)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -173*a**2 + 2 - 3 - 135*a**2.\nAnswer: -308*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1000110110011001 (base 2) to base 3\nAnswer: 1211201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = 3*s - 3, 16 - 44 = -4*p + 2*s. Suppose t - 5*v + 128 = -2*t, -t = -3*v + 48. Sort t, p, -4.\nAnswer: t, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 45\/8? (a) 2\/7 (b) -3 (c) 1\/21 (d) 0.4 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 2*f**2 - 35*f + 20. Let v be r(17). Suppose -q - v*q = -16. Let d be 14\/q*16\/14. Sort 5, -5, d in descending order.\nAnswer: 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - 2*m + 198 = 0. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 3 and -49470.\nAnswer: -148410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 320427 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (sqrt(38)\/sqrt(2))**2)*3.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 923 a factor of 2072789407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {q: 3, p: 1, l: 10, y: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -5 + 3 + 0 + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 339, 682, 1025?\nAnswer: 1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 17 + 5. Let o = 594 + -294. Suppose -d*b + o = -17*b. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 1\/10 of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 908025 is divided by 106?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3898 is divided by 328?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = -51.7 - -52. What is the second biggest value in -6, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 19 + -11. Let o be (1\/2)\/((-3)\/(-18)). Suppose 0 = o*b - 20 - 25. Calculate the remainder when b is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is z in -z**4\/8 + z**3\/4 + 15*z**2\/8 + z\/2 - 5\/2 = 0?\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.05, -5, 1, -3, -16278?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.205 - -0.205. Which is smaller: p or 11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 + 1. Suppose r*n - 4*n = 3*l - 4261, 4*l + 5*n = 5685. Suppose 0 = 6*m - l - 62. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve -3*b - 3 = i - 0, -16*b = -26*i + 15*b + 14*b - 44*b - 394 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, -1, -4, 826 in ascending order.\nAnswer: -4, -1, -0.2, 826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 594*p**2 + 131*p - 132. Calculate v(1).\nAnswer: 593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**2 + 4*x. Let d be m(-3). Let f = d - -14. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -92.09 - 1.91. Let j = 93.99883 + g. Round j to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -2 - -1 - (-248)\/(-8). Let h be (-80)\/d + 1\/2. What is the remainder when 1 - ((-9)\/h + -44) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 609 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8 + -1. Sort -1, -3, f in ascending order.\nAnswer: f, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28*o**2 - 32*o**2 + 0*o**2 + 7*o**2.\nAnswer: -53*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1739052\/(-2613) + (-6)\/13. Sort 4, f, 0 in descending order.\nAnswer: 4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*u = -8*u - 12. Suppose -4*m + 3*m + 3 = 5*o, 4*o = -3*m + 9. Solve -2*b - 5*n + 28 = -o*n, 5*b = 2*n + u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 1711184, 1711188, 1711192, 1711196, 1711200, 1711204?\n\"Answer: 4*p + 1711180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.1 + 0.1. Let x = 74 - 73.9. Sort -5, x, n in ascending order.\nAnswer: -5, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 + -10010100?\nAnswer: -10010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1870 and 40407290.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 53412*q**4 + 2*q**2 + 8728128.\nAnswer: 213648*q**3 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.06665 and 0.4.\nAnswer: 0.46665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -9\/58998862 or 1?\nAnswer: -9\/58998862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/11 in -11, 5, 0.5, 25?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -43, 0, 16, 3 in decreasing order.\nAnswer: 16, 3, 0, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 20627 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2250.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.5 in 20, -3, 0.2, -25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 934083 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 606 - 401. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1533, -13275, -45167, -107289, -209721, -362543, -575835?\nAnswer: -859677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:48 PM and 3:36 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = -5*p + 5*u, -4*u - 12 = 18*p - 14*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 522455 is divided by 755?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/76 and -85\/356?\nAnswer: 6764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Subtract -9158 from 7004872044.\nAnswer: 7004881202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 12231200 (base 4) to base 5.\nAnswer: 1334423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 51542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 217, 691, 1177, 1681, 2209, 2767?\nAnswer: 3361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(200) - (-1 + sqrt(200))) + 5)**2 + -5.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-14)\/(-28) - 6\/16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 360 is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 85 + 267 = 11*i. Suppose h = 4*t + i, -4*h - 14*t + 128 = -15*t. Calculate the highest common divisor of h and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in 0.2, 0, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = -b - 284, 5*b + 300 = 11*k - 6*k. Calculate the smallest common multiple of k and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {a: 3, l: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 470 minutes after 1:31 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 556 minutes after 2:09 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) 1402420 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3143*c - 34 + 16 + 18 + 3138*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*c + 25*q = 20*q + 4, 2*c + 3*q + 5 = -6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pwk when three letters picked without replacement from {q: 2, p: 1, w: 7, k: 4}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2 - -10a0?\nAnswer: 109d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 2*k**2. Let m(i) = -i**2 - 3*i - 3. Let w be ((-7)\/21)\/((-1)\/18). Let l(a) = 10*a**2 + 26*a + 26. Let c(t) = w*l(t) + 52*m(t). Calculate u(c(n)).\nAnswer: 128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*h + 17 + 4 = -134 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/925 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1152 - -1183. What is the remainder when 10848 is divided by v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 18 and 21 - (-1 - (0 + -2)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -5 - 31*i - 3 + 8. Let v(m) = 2*m. What is v(p(s))?\nAnswer: -62*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -k*x**2 + 3*k*x - 22459446*k + 131188005*x**2 wrt x?\nAnswer: -2*k + 262376010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 352 (base 6) to base 13\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -2*x + 9*x - 2*x. Let u(g) be the first derivative of g**2 - 2770. Determine u(d(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-515)\/(-3))\/(-1)*(5 + 13). Let d = b - -6193. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -328 - -330. Let z = -173 + 1207\/7. Which is the closest to v? (a) -0.1 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/((-1)\/1)*(-1344)\/(-224).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (-1*(sqrt(187) + (sqrt(187) - sqrt(187)*-1 - sqrt(187)))*-5)\/(sqrt(99) + sqrt(99)*-2 + sqrt(99) + (sqrt(176) - sqrt(11))*1).\nAnswer: 3 + 10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 9.0837 rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*j - 4430 + 78280. Suppose -39*z = -44*z + j. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -9*1\/(-12)*-4. Let s(q) = 2*q + 3. Let t be s(k). Let z be 0\/(3 - (1 + 6)). Sort 1, t, z, 5 in decreasing order.\nAnswer: 5, 1, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -j**4*n - 3*j**4 + 6*j**2*n - 232*n wrt j.\nAnswer: -4*j**3*n - 12*j**3 + 12*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 813, 6622, 22461, 53358, 104341?\n\"Answer: 838*l**3 - 13*l**2 - 18*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 10 + -9.9. Which is the closest to 0.2? (a) 0 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/(-8 - 0)*34. Let d = t - 17. Let l = -165\/7 - -2131\/91. Is l bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 + 0)*((-2*n + 1 - 1)*(4 + 2 - 5) + (72 - 31 + 7)*(1 - 1 + n)).\nAnswer: 92*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3193*z**2 - 3194 wrt z?\nAnswer: 6386*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -103, -86, -69?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let -4*h**2 - 714997312*h - 31951322260451584 = 0. What is h?\nAnswer: -89374664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r**3 + 4*r**2 + r - 2. Let a be k(2). Suppose 5*u - 3*g - 141 = -0*g, 3*g + 87 = 3*u. Suppose 0 = -4*b + u + 21. Solve -b - a = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 26 = -2*t. Suppose 68 = 27*c - t*c. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 362*g = 360*g - 24, 5*l - 3*g = 66. What is the remainder when 938 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + 0 + -10 - (40 + -21).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 119234231 divided by -1909?\nAnswer: -62459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -0.7, 2\/9, 6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1483295 is divided by 18088.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 383130235 rounded to the nearest one million?\nAnswer: 383000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**3 - 9*c**2 + 8*c + 140. What is s(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 394796754\/5 greater than or equal to 78959352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 2967*g**2 - 38551*g - 266. What is w(13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -92 - -133. Let w = -29 + c. Suppose -2*d = -3*k + 210 + 38, 416 = 5*k - 2*d. Calculate the highest common factor of w and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10068059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**2 + 19*o - 83. Suppose -4*n - l = -53, 0 = 2*n + 5*l - 1267 + 1254. Give p(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 4413*i - 150032. Calculate b(34).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n*n**(1\/4)))**(-22\/9)*(n*n\/n**0)**15 assuming n is positive.\nAnswer: n**(551\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 0.211031 millennia?\nAnswer: 2532.372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in 2, -3\/25, -6, 3\/2?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand l**4 - 4*l**4 + 6*l**4 + (-l**3 - 3*l**2 + 3*l**2)*(-3*l + 4*l + l).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 467 = 5*i - 133. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2)\/72 - (4 - 136\/32). Which is the biggest value? (a) -5 (b) d (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 67396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 37135 divided by 1?\nAnswer: 37135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 2*i + 11. Let n(m) = -m - 6. Let k(g) = -11*n(g) - 6*z(g). Suppose 2*q - 4 = 3*b, -b = -2*b - q + 7. Let f = -3 + b. Determine k(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -78751 - -41.\nAnswer: -78710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*m = -38*m. Suppose 2*g - 4*g + 94 = -3*u, m = g + 3*u - 47. Calculate the remainder when g is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.0396 + -2.9604. Are t and -3 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -932876, -932868, -932854, -932834, -932808, -932776?\n\"Answer: 3*d**2 - d - 932878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 3288, 6569, 9848, 13125?\n\"Answer: -f**2 + 3284*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = -v. Let h be (0 - 1) + (1 - 126). Let l be 35\/h - 1\/(-2). Which is smaller: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2123669 is divided by 493.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) be the second derivative of 7*z**4\/4 + 115*z. Let m(h) = -3*h**2. Calculate m(b(a)).\nAnswer: -1323*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 z and 1 j when four letters picked without replacement from zuppzppjpzupzzpjyzpz.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be 10\/9*(-129)\/215. What is the nearest to -1.5 in -4, 1\/6, 2\/11, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:13 PM and 9:59 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from {k: 2, u: 1, z: 1, v: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -184, -338, -494, -652, -812?\nAnswer: -974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4794 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4, -100, 0.2, -0.098?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 53\/182664 and 47\/144578556.\nAnswer: 289157112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = -51 - -52. Let x = -9 - -9. What is the closest to 0 in l, x, -3\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1908407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**3 - 7*f**2 + 8*f - 8. Let c(d) = -d**3 - 4*d**2 + 5*d + 6. Let n be c(-5). Let l be b(n). Solve l*i = -2*q + 5 - 19, 0 = 4*i + 4*q + 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 26737, 53506, 80275, 107044, 133813, 160582?\nAnswer: 187351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -3 + 7. Let b = -34 - -39. Let o be s\/(3*b\/(-345)). Is 24 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1335010 - 4378052 + 1553670 = -148*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kzo when three letters picked without replacement from zzzkkzkkkzkkzko?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 1, -13, 2 in ascending order.\nAnswer: -13, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1091.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 4*y = 1588, -3*y = -17 + 2. 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 327 minutes before 2:49 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2 - 1)*(0*q**3 - q**3 + 0*q**3) + 5 + 2*q**3 - 5 + 2*q**3 + 2*q**3 - q**3 + (-2 - 2 + 2)*(-2*q**3 - q**3 + 4*q**3) + q**2 + 3*q**3 - q**2.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be 26\/(-8)*-2*2. Suppose 4*y = 5*y + 3*a - 11, 0 = y + a - 13. Is z equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i**3 - 5*i**2 + 18. Let a be y(4). Solve a*s = 5*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((84\/9)\/(-14))\/(-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -k = -3*t + 11, 3*t + 31 = 46 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + (-40)\/(-15) + 2\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -3*(-10)\/6 - 3 - -24 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.06 + 0.34. Suppose 3*h - 2*h = r - 3, 15 = -2*h + 5*r. Let k be (0 + -3 + 4 + h)*0. What is the closest to k in s, 2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 4438*g**2 + 118*g + 230. What are the prime factors of b(-2)?\nAnswer: 2, 19, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12*(20*4\/(-48))\/(35\/(-84))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -255417*g - 246 = -255540*g. Factor 0*i - 2\/9*i**g + 0*i**3 + 0 + 2\/9*i**4.\nAnswer: 2*i**2*(i - 1)*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + (-2 - (5 + -17)) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:43 PM and 1:35 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -881*n**2 - 2832*n - 2. Give r(-3).\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -0.1 times 648959\nAnswer: -64895.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (8784\/(-366))\/((-8)\/(-5))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:21 AM and 7:06 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = -34028 + 34032. Solve 29*l = 27*l - c - 4, -4*l + p*c = -28 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 less than -3595873?\nAnswer: -3595872.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 15*v - 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4 - 18. Let m = v - -19. Sort m, -0.1, -2.\nAnswer: m, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 644 minutes after 9:49 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = -364\/513 + 22\/27. Is 1 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.3, -2\/5, -40\/13, 2, 795, -0.02, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 94915 and 116645.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) be the first derivative of -12*f**5 + 2*f**3\/3 - 71*f**2\/2 - 142. What is the third derivative of v(k) wrt k?\nAnswer: -1440*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -60 + 59.19. Let d = 0.19 - x. Let v = 2 - d. What is the third biggest value in 1\/12, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence euu when three letters picked without replacement from {u: 3, e: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -4*h - 3*c, 5*c = 16*h - 14*h - 31. What is the least common multiple of 1092 and h?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 989 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -84b86b (base 14) to base 12\nAnswer: -1605347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3395*i = 674*i + 64386 - 47152 + 116095 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.5, -0.1, 0, 2259?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 2*m + 30 = -0*b, -9 = 3*m. Let a be (-5)\/1*(-6)\/b. Let v be (-4)\/a*30\/6. What is the highest common factor of 28 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u = -7*u - 5*a + 6, -5*a - 8 = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = -0*v - 2. Let l = v + 30. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.4 and 25.836217.\nAnswer: 10.3344868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -184 + -37084?\nAnswer: -37278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let k = 972 + -650. List the prime factors of k.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 3*a**2. Let n be (-2 + -2)\/(-3 - -1). Suppose -4*v + 18 - n = 0. Let j(f) = 2 - v*f**2 - 3 + 1. Give j(q(s)).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + 4 + sqrt(475) - (-3*sqrt(19)*-2 + 0 + sqrt(1900))) + 2)**2.\nAnswer: -176*sqrt(19) + 2363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(165) + 2*2*sqrt(165))\/sqrt(3))\/(-3*sqrt(45)*1 - sqrt(45)).\nAnswer: -5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 40\/179 and 121\/10.\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2209670 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -41\/18208 and 113\/119232.\nAnswer: 67843008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**3 + 82*i**2 - 75*i - 486.\nAnswer: -(i - 81)*(i - 3)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -3040 divided by 4\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -394 - -682. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7 + -5. Let a = -11 + 18. Suppose 90 = a*k - n*k. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4 + 8. Let v(a) = -2*a - 2*a + 2*a - x*a. Let l(r) = 2*r**2. Determine v(l(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.682 and -87.25.\nAnswer: -86.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1950, 3905, 5860?\nAnswer: 7815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10572 - 10573. Let z(v) = 2*v**2 - 2*v - 2. Let t be z(2). Suppose -59 = -t*g - 3*g + 2*l, g - 17 = 3*l. Put 4, g, d in descending order.\nAnswer: g, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 199 + -137. Let z = 62.32 - o. Sort 3, -1\/7, z.\nAnswer: -1\/7, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-2))**14\/(v*v**(-2))**(2\/113)*(v\/(v\/(v*v\/(v\/(v\/(v*v**0))))*v))**(-15)*v**(-2)*v**(7\/5) assuming v is positive.\nAnswer: v**(-16149\/565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 80, 209, 338?\n\"Answer: 129*t - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**2 + 55*x + 703. Give v(-34).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 18 in -4, 7, -5\/6, 2, 0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4188 is divided by 94?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 41965946 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 6*b**3 + 2*b - 1. Suppose 2*h - 28 = -26. Give r(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 2*z**3 + 2*z + 12. Suppose 3*n = 3, 3*n - 10 = -3*m + 8. Let f be m\/20*-2*(7 + -1). Let v be y(f). Sort v, -3, 4.\nAnswer: v, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x - 11798 + 11803 = -3*c, 3*c = -3*x + 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 79*r + 542. What is m(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 546127?\nAnswer: 31, 79, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(-57)*38*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -4*o + 19. Suppose 4*z - 22 = -4*g + 2*z, g + 2*z - 10 = 0. Let y be x(g). Let s = -143\/3 + 48. What is the second biggest value in y, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/((0 - -2)\/(-2)). Let r(w) = -2*w**2 + 9*w - 5. Let o be r(4). Let b = o - s. Solve -4*l + b*l = -4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -12*t + 13*t + 5. Let c(h) = -h**2 - 3*h - 6. Give c(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -14*j - 2. Suppose -473 = -83*m + 855. What is the least common multiple of d(-5) and m?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-16)\/(-40))\/(1\/1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = -158 - 52. Calculate the least common multiple of (6\/7)\/((-10)\/o) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2*(-2)\/(-1 + 2). Let s be (6\/a)\/(2\/(-12)). Suppose 5*x - 6*x + s = 0. Calculate the remainder when 16 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 1453 = 2*x, 273*x - 278*x + 887 = 3*f. Is 291 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2718.79 < -0.1146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**2 + 7401*t - 14814.\nAnswer: 3*(t - 2)*(t + 2469)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -19102 + -1?\nAnswer: -19103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 4*s = -s - 3, 3*z + s = -39. What is the units digit of 262*(z\/(-32))\/(12\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -129423 divided by -21?\nAnswer: 6163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 8805.083 years to decades.\nAnswer: 880.5083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*u**2 - 4431*u + 409266.\nAnswer: 3*(u - 1378)*(u - 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -0.06+-1970549829.2318\nAnswer: -1970549829.2918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-84)\/(-15) + -5)*15. Let h(q) = -q + 2. Calculate h(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 648844 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -101*m**3 + 4*m**2 + 2*m + 5. List the prime factors of p(-3).\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 15, 20, 13, -12, -61, -140, -255?\n\"Answer: -g**3 + 12*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 122 (base 3) to base 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1354154 is divided by 2177?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -1123*k + 2. Let u(r) = -5615*r + 11. Let y(z) = -11*f(z) + 2*u(z). Let t(d) = -2*d. What is y(t(s))?\nAnswer: -2246*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-600*z + 35*z**4 + 600*z)*(3*z + 3*z - 2*z)*(-1 + 5 - 2).\nAnswer: 280*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((l**5)**(-2\/53))**6)**(-14\/9))**19 assuming l is positive.\nAnswer: l**(5320\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/1284 and 21\/22?\nAnswer: 14124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -65*f**2 - 23*f - 12. Let l(n) = 21*n**2 + 8*n + 4. Calculate 17*l(o) + 6*q(o).\nAnswer: -33*o**2 - 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 112842993?\nAnswer: 3, 37614331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*i + 1184 = 187*i. Solve 0 = 3*w - 4*b - 2, -4*w - 4*b = -i*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 2*n - 36 = -3*f, -5 = 5*f. Let g = 9 + n. Suppose 1 - 21 = 5*k. Is g <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -116907398 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + u + 6 = -53, a = 4*u - 34. Let h = a - -43. What is the highest common divisor of h and 559?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 187 and 19?\nAnswer: 3553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 230\/7, 83\/7, -2\/31 in increasing order.\nAnswer: -2\/31, 83\/7, 230\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 14.996519 minus -2.15221?\nAnswer: 17.148729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + sqrt(28))*-3)**2.\nAnswer: 144*sqrt(7) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:33 PM and 5:14 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**3 + 7*a**2 - 8*a + 15. Let q be b(6). Suppose -q*r = 5*h + 2*r - 10, -3*h - r + 12 = 0. Solve -2*z + h*i - 32 + 13 = 0, 4 = z + 2*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (34*w + 15*w - 11*w)*((-5 + 3 + 0)*(-2 - 5 + 4) + 6 - 11 + 54)*(-5 + 3 + 3).\nAnswer: 2090*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -28*u - 241*u**2 - 28*u + 54*u to the form r + j*u**2 + n*u and give j.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 15 + -14.5. Sort c, -0.05, 0.1 in ascending order.\nAnswer: -0.05, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 429 divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-34)\/72 - 1\/(-4). Let k = 2 + -5. Let m = k + 3. Which is the closest to m? (a) -1\/9 (b) y (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 3932, 15661, 35144, 62339, 97204, 139697, 189776, 247399?\n\"Answer: -7*t**3 + 3919*t**2 + 21*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 4272.868 years?\nAnswer: 427.2868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 830 - 825. Let p = -0.8 - -0.3. Let s be 6\/12*(-2)\/7. Which is the third biggest value? (a) o (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 4*q**2 - 6*q + 4. Let a(d) = 10*d**2 - 7*d + 11. Let f(k) = -k**2 - 1. Let s(h) = a(h) + 6*f(h). Calculate -5*i(u) + 4*s(u).\nAnswer: -4*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*i - 2*c = -5*i + 21*i - 94, -5 = -3*i - 4*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = 5 + 5. Let f be (m - 5)*1\/(-1). Suppose -q + 5*c + 18 = f, -4*q + 3*c = -31 + 10. Is q equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2733383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 68578585, 68578586, 68578587, 68578588?\nAnswer: 68578589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 0*z**2 - 132*z**3 - 242*z**3 - 33*z**3 - 2*z**2 + 6*z**3 - 292 wrt z?\nAnswer: -2406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be -9*(-4 + 25\/(-3)). Suppose 0 = 5*m - h + 21. What is the least common multiple of m and 21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y - 20 + 20 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 32995755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2750153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 21\/200 and 109\/1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 784*h**2 - 3665*h**2 + 1100*h**2 - 2573*h**2 in the form z*h**2 + m + w*h and give z.\nAnswer: -4354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(-3)\/(k\/k**(-13)*k))\/((k\/(k\/(k*k**(-14)))*k*k*k)\/(k*k**(2\/13)\/k*k)))**(-1\/20) assuming k is positive.\nAnswer: k**(89\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 3055 a factor of 24962405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -286941.1 and -13?\nAnswer: 286928.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 28 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 709 minutes after 8:43 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the third derivative of 13*v**5\/60 + 791*v**2. Let i(w) = 52*w**2. Give s(i(p)).\nAnswer: 35152*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5162503*g**2 - 3535558*g.\nAnswer: -10325006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -504011*m - 504008*m - 504083*m + 1512113*m.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -0.2174696*2\nAnswer: -0.4349392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + (-68 - (-20 - 22)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.74 - 1.6. Let r = -0.7 - -0.16. Let k = g + r. Sort -6, 3, k.\nAnswer: -6, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 30715\/6 - 5094. What is the common denominator of 54\/(-96) - 3 - -4 and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -253375 divided by -2027?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20376*t**3 + 14*t + 20480*t**3 - 40862*t**3 - 9*t - 5*t.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -258*z**2 + z - z.\nAnswer: -258*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1.3 (b) -3 (c) -2\/175 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1 - 1.1. Let x = 1.6 + -0.6. Let b = -4 - x. Put u, b, 3 in descending order.\nAnswer: 3, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -704*y - 1100 = -708*y. Let l = -203 + y. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17110 times -6.16?\nAnswer: 105397.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5\/14 or 0.31399?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-35)\/(-70) - 923\/2. Let h = -19 - d. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmxom.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put together 3636454.0846 and -6781.\nAnswer: 3629673.0846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7 + 10. Suppose -3*y - 4*d + 38 = 0, -3*y = -4*d - n + 5. Suppose -12 = 3*z, -2*q - y*z = -z - 33599980. Round q to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15 + (-10 - -3) + 13 + (-5 - 3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate t*w**2 - 61*t*w*z**2 + t*w*z - 69*t*w + 2*t + 793*w**2*z + 7*w**2 wrt z.\nAnswer: -122*t*w*z + t*w + 793*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 - 4) + 3 + -7 + 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f - 29 = -3*d, 2*d + 5*f + 7 = 38 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 204283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*z**3 - 192528*z**2 + 1924916*z - 1732392.\nAnswer: 4*(z - 48122)*(z - 9)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:17 AM and 7:44 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v**2 + 229*v + 686. Let t be a(-3). Solve -17*r + t - 8 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -31 divided by 123\nAnswer: -31\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 371, 0 in decreasing order.\nAnswer: 371, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 675 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -66*v + 258. Let g = 42 - 38. Solve v*j - 5*y - 5 = -0, 40 = -g*j - 4*y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c*c**(-2\/3)*c*c\/c**(2\/3)*c**(-5)\/c*c*c**(-4))\/(c**(-7)\/(c\/c**(-4\/7)))**(1\/21) assuming c is positive.\nAnswer: c**(-871\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57*s - 62*s = -3*x + 11, x - 1 = s. What is the second smallest value in -1\/6, 4, s?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 23832 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -120 (base 5) in base 7?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -17 + 4*r**2 + 68*r**3 - 44*r**3 + 15 - 79*r**3 - r**2 to the form d*r**3 + p*r + k*r**2 + h and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:28 AM and 10:50 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 5390093758 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -1996577 smaller than -1996607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -382 + 476. Calculate the remainder when (-935)\/(-2) + 4\/(-8) is divided by m.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -25\/119 and 93\/896.\nAnswer: 15232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 58*k + 61*k + 64*k - 9*k**2 + 8*k**2 + 95 - 179*k.\nAnswer: -k**2 + 4*k + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -58? (a) -6 (b) -7 (c) 3 (d) -5 (e) -6\/335 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-15)\/(-4) - 12\/16. Suppose -4*i + 3*k + 4679 = 0, -c*i + k = 2*i - 5846. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:12 PM and 11:38 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Are -295 and -296 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m - 4*l + 298, -6*m + 10*m - 602 = -2*l. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.775068 rounded to 2 dps?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00235163627 rounded to 6 decimal places?\nAnswer: 0.002352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -258, -5, 0, 5, 2, -13 in decreasing order.\nAnswer: 5, 2, 0, -5, -13, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 48696*f**3 + 3*f**2 + f - 880948 wrt f?\nAnswer: 146088*f**2 + 6*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -1938 divided by 121638?\nAnswer: -17\/1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 61006 divided by 3?\nAnswer: 61006\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 151216.\nAnswer: 2, 13, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 85312?\nAnswer: 2, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 46029 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most -284\/9425609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -93 + 95\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(68)*4 - sqrt(68))*1)\/sqrt(4).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -57956*s**3*y**2 + 64*s**3*y + 108191*s**2*y**2 - s**2 + 249*s wrt s.\nAnswer: -347736*y**2 + 384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + 2*h - 99 = 0, 5*h = 10 - 0. Suppose -119 = -5*t - r. Suppose 2 = i, t = 4*z - i + 5*i. Solve -7 = z*n + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 66*v - 4 + 1. Let i(d) be the first derivative of 24*d**2 - 35\/3*d**3 - 17 + v*d. What is the second derivative of i(f) wrt f?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1143.9 + -78.7.\nAnswer: -1222.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 53.8667913 rounded to three dps?\nAnswer: 53.867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k*k*k\/k**(-4)*k)*k)\/(k*k*k**(-6)\/k*k*k*k*k)*k**(3\/4)*k**(-8)*((k**(-2\/7)\/k)\/k*k)**45\/(k**(-1\/3))**(-44) assuming k is positive.\nAnswer: k**(-7121\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 - ((5 - 1) + -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 235162 divided by 5?\nAnswer: 235162\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from nngnnggnbnttnx.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 27132 and 4114374.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4247\/7045 - 4\/1409. Factor -72\/5*f**2 - j*f**4 + 0*f + 0 + 42\/5*f**3.\nAnswer: -3*f**2*(f - 12)*(f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from memmmmmmmeeemmemme.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21092 is divided by 154?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r be (8\/10)\/((-2)\/(-15)). Let t be 8\/(-10)*(-75)\/r. Calculate the remainder when 2 is divided by t\/(-20)*(-1 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40*t**2 + 5*t + 2031 - 3*t - 2*t - 2031.\nAnswer: -40*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*x - 3*x + 4*x)*(-2 + 1 - 1)*(80*x - 199*x + 88*x) to the form i + l*x + a*x**2 and give a.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.4 and -578242.4172.\nAnswer: -578242.8172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Calculate 28449847 divided by -917737.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the second derivative of t**3\/2 - 629*t. Let x(r) be the third derivative of r**5\/6 + 3*r**2. Determine x(p(b)).\nAnswer: 90*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 660129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Subtract 25223019 from 34689.\nAnswer: -25188330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -44, -154, -406, -872, -1624, -2734, -4274?\n\"Answer: -12*u**3 + u**2 - 29*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in thirteen eighths of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + g = -3221, -u - 8*g = -11*g - 633. Calculate the remainder when u is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*y + 187 = 477 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (512\/(-42) + 2\/(-14))\/((-6)\/3888)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 2*a - 11. What is k(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3.074 - -0.926. Put u, -102.2, 1\/9 in decreasing order.\nAnswer: u, 1\/9, -102.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -189152, -189158, -189168, -189182, -189200, -189222, -189248?\n\"Answer: -2*w**2 - 189150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 5*p. Let s = 135\/4 + -34. Which is the closest to s? (a) p (b) -4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 2. Let o(f) = -f + 1. Let h(s) = 3*l(s) - 2*o(s). Let x(r) = -r**3 - r**2 - 6. Let p be x(0). Calculate h(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -49339850 by 1.\nAnswer: -49339850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = 105 + -69. Suppose 0 = -5*h + 4*i - 66, 3*h + i + z = -h. Let v be 7*(h\/(-14) - -1). What is the highest common divisor of 8 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -9*f + 45. Let u(x) be the first derivative of x**4\/4 - 2*x**3 + 3*x**2 + 2*x - 11. Calculate u(f).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = c**2 + 1 + 4*c**2 - 1. Let f(y) = 6*y. Give f(s(t)).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -8*b**3 + 858*b**2 - 1670*b - 95. Calculate a(2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 23 + -22. What is the highest common divisor of 5 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) 2\/15 (c) 3\/14 (d) 6.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 680079057 to the nearest integer?\nAnswer: 26078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -0.956 * -13843\nAnswer: 13233.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1 - -2. Let v = -78 + 82. Let m be 4\/(-8) - (-8)\/v. Put x, -0.06, m in ascending order.\nAnswer: -0.06, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) be the third derivative of 4*l**2 - 1\/3*l**3 + 1\/8*l**4 + 0*l + 0. List the prime factors of v(11).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (208\/78)\/(2\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 2292512 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 24*i - 43. Let q(b) be the third derivative of b**4\/4 - 11*b**3\/6 - 6*b**2. Let w(g) = 9*q(g) - 2*s(g). Is w(8) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -48775633*0.4.\nAnswer: -19510253.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 340\/34*48\/30\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -691, -1380, -2069, -2758?\nAnswer: -3447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ntn when three letters picked without replacement from tnttn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1755 - -1755. Let m(z) = -z**3 - 2*z**2 - 2*z. Let v be m(-2). What is the closest to l in -1, 3, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 12*q*s**2 - 3*q + 10*s**2 - 9*s - 1083 with respect to s.\nAnswer: 24*q*s + 20*s - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -48446 - -45451.9. Let y = s + 2974.099. Let i = y + 19.9. Round i to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-10)\/(0 - -1)*490\/(-196). Suppose b*i - 10337 = 5788. What are the prime factors of i?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 3*v + 4873 = 4*v, 3*y - 4875 = -3*v. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -54, -3, 6 in decreasing order.\nAnswer: 6, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.8961 - 0.3961. Let m = -9.9 + 12.9. What is the biggest value in 26, j, m?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i - 3 = 0, -2892*i - 3 = -3*d - 2889*i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*w**3 - 8*w**3 + 9*w**3 + (-8*w - 5*w + 6*w)*(-21*w**2 + 2*w**2 - 5*w**2).\nAnswer: 176*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3258681?\nAnswer: 3, 61, 17807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 13 = -3*d, -3*d + 8*d = 5*m - 35. Suppose 87 = 5*f - 3. What is the remainder when (-357)\/(-27) + (-4)\/f is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -2*h. Suppose 3*v = -5*k - 20, -2*v + 4*k + 16 + h = 0. Suppose -5*o - 2545436 - 55954564 = v. Round o to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 512 (base 9) in base 16?\nAnswer: 1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -5, -29, 14, 2, 0 in ascending order.\nAnswer: -29, -5, 0, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 33 + -37. Let a = -0.101 - 2.899. Sort -13, a, 3\/7, g in decreasing order.\nAnswer: 3\/7, a, g, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s - 3*s - 4*u + 14, 0 = -s - 3*u + 11. Let j(c) = -12*c**3 + c**2 + c. Let d be j(s). Calculate the greatest common factor of d and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 3871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9 - 4) + -1 + 4 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (14\/35)\/(-12*(-4)\/(-20))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (580\/(-572) - -1)*(-6 - -4*40\/(-32))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-11 + 13)*-3*5\/(-6). Suppose 0*c + 80 = 5*f + 2*c, t*f = 2*c + 60. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 2*w**2 + 3*w - 3. Let o be 4*((-18)\/(-8))\/(-3). Calculate j(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25357 - 161705 = -16*x + 65210. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7130.\nAnswer: 2, 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -13, -57, -127, -217, -321?\n\"Answer: g**3 - 19*g**2 + 6*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/4*((-56)\/200)\/7.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*b + 15*b - 6006. Is 21 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.52772 and -207179.\nAnswer: -207178.47228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/5 in -11, 0.1, -4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1520191 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 49 and 27881?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 205 = -3*h, -5*l = 4*h + 280 + 5. Let o be (-4)\/(-26) + 790\/h. Let d = o + 11. Which is the closest to -1\/3? (a) 1 (b) -2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 3721863.5 to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 5*c - 29. Let s = c + 3. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.3 and 141571211856565.\nAnswer: 141571211856565.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-2)\/(-6)*-2)\/(238\/21). Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -672ca (base 16) to base 13\nAnswer: -11a47b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + 2360\/(-1045) - 80\/(-220).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 5*s - 8 = 0. Suppose 2*j = 3*j - 3*t + 5, -4*j = -5*t - s. Suppose -j*w = -104 - 71. Solve 0 = 2*k - 4*q + w + 1, -4*k - 5*q + 13 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:53 AM and 3:08 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -20 + 19.9. Put n, 1, -1\/2 in increasing order.\nAnswer: -1\/2, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 57163*d*p**2 + 84*d*p - 183*d wrt p.\nAnswer: 114326*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -t**2 - 3*t + 14. Suppose -9*p = 643 - 697. Give q(p).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1142?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(-2))\/((-6)\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8941*f - 49942*f - 62818*f.\nAnswer: -121701*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/(-21))\/(((-105)\/(-7))\/180).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1170 + -1134. What is the smallest common multiple of 900 and h?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-38)\/19 + (-14)\/(-2). Let v(h) = h**2. Let j(y) = -4*y**2 - 5*y + 3. Let z(x) = j(x) + 5*v(x). Give z(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10.9 - -43.1. Let k = h - 50. Which is the nearest to 2\/7? (a) 2 (b) -1\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -29*f - 6*f + 840. Let o(v) be the first derivative of -49\/2*v**4 + 1 - 88*v**2 - f*v - 350\/3*v**3. Find j such that o(j) = 0.\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -3 - (75\/(-18) - -1). Let g = -10.6 - 3.4. Let p = g + 14.2. What is the nearest to 0.1 in 0.5, p, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1190 and 1680?\nAnswer: 28560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.494133 tonnes to kilograms.\nAnswer: 494.133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**2 + 11*f + 18. Let t be o(-8). Let y = -24 - -54. Let c be 4\/t - (-14)\/y. Which is bigger: c or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-19 - 4*t + 19)*(8*t + 3 - 3) to z*t**2 + i + q*t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 74 + -69. Solve -p - w + 9 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 389397 is divided by 7347?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l**2. Let z(k) = 2*k - 3. Let d(n) = 4*n - 5. Suppose -4*r + h = -5*r, 0 = 3*r - 3*h + 18. Let a(s) = r*d(s) + 5*z(s). Give o(a(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 51 minutes after 8:54 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*t - 49*t + 2*t + 155*t + 66*t.\nAnswer: 152*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 211 minutes before 3:05 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*c - 2*c + 0*c)*(2 - 5 + 4 + 0 + 1 - 2 + (-3 + 1 + 1)*(-4 + 2 + 1) + 2 - 1 + 0 + 2 - 3 + 0 - 3 + 4 + 0) - 6 - 5*c + 6.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -24 + (1 - -19) - (-2 + (1 - (-33 + 2)))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -1992*g**3 - 2*g**2 - 74*g - 215. Is b(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 457 a factor of 3331910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes before 6:45 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*v = 39*v + 4202520612. Suppose 5*b - t + 161630153 = v, 0 = 3*t. Suppose -8*y - 6*y - b = 0. Round y to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -10788.91245 + 10789. Let l = 0.178 + -0.09. Let x = l - p. What is x rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*(c**(-22\/3)*c)\/c*c*c\/c**18)\/(c**(-12\/13)\/c*c**(2\/57)*c) assuming c is positive.\nAnswer: c**(-5297\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -3\/922, 0.9, 5, 1?\nAnswer: -3\/922","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -a + 1. Let o(n) = -n + 2. Let p(z) = -2*h(z) + o(z). Let l(g) = -23*g**2. What is l(p(t))?\nAnswer: -23*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: ((-11305)\/(-1241) - 9)*((-330)\/48 - -7)\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-15))\/((-590)\/(-100) - 6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (5 + -3 - 3)*0. Suppose f = 6*j - 8*j. Solve j*q + 4 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 34 divided by 13.\nAnswer: 34\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 74 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1987431.\nAnswer: 3, 662477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = -736565\/66 - -11159. Calculate the common denominator of -89\/30 and i.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 58621301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-25*h - h + 14*h + (2 - 2 - 2*h)*(-2 + 3 + 0) + 4 - 4 - 2*h + 3 - 3 + 2*h)*(4*h - 4*h + 2*h**3).\nAnswer: -28*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 132*n + 750. Give d(-5).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -q + 29 - 15 - 21. Let y be a(-6). What is the closest to 1\/4 in 0.02, y, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose h - 4*r + 24 = r, 3*h - 3*r = -12. Let j be h\/(-5) - 46\/(-5). Let o(m) = -m**2 + 664 + 115 + 8*m - 775. What is o(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -8*y**2 + 10*y + 10. Let v = -200 + 210. Let r(p) = p**2 - p - 1. Let o(b) = v*r(b) + w(b). Let l(g) = -2*g**2. Determine l(o(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 12 - 0 - (11 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (f**3 - 4*f + 4*f)*(-8*f - 19*f + 0*f) + 0*f**4 - 5*f**4 - f**4.\nAnswer: -33*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = 25103 + -5847. Suppose -l + 47183 = 29*n. What are the prime factors of n?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 104 - 109 - (-1 + 2 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10249*r**2 + 1 - 1 - 2886*r**2 - 3683*r**2 - 2561*r**2.\nAnswer: 1119*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2.5387 + -2.55. Let v = -0.02013 - l. What is v rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4\/6 + (-20)\/(-6). Let w(f) = 30*f**2 + 3*f + 5. Is w(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -10, -1590, -16, -4, -2, 1.2 in descending order.\nAnswer: 1.2, -2, -4, -10, -16, -1590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10 - -14. Let z(s) = 7*s - 4. Let a be z(f). Solve 4*k - o - 8 = 0, -5*o = k - 5*k + a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**4\/9 - 94*i**3\/9 - 772*i**2\/9 + 96*i.\nAnswer: 2*i*(i - 54)*(i - 1)*(i + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c**(-1\/10)*c))\/c**(-21) assuming c is positive.\nAnswer: c**(211\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/5, 0.025, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 322270872 divided by -66.\nAnswer: -4882892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 153636 and 643041?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 2, t: 1, v: 3, s: 1}. What is prob of picking 1 w and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0 - -2. Suppose -11 = -0*z - z - q*y, 3*y = -z + 8. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 33*m**3*q**3 - 2420*m**3*q - 5*m**2*q**3 - 1898*m**2 wrt m?\nAnswer: 198*q**3 - 14520*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -5*o**2 + 413*o - 114. What is the remainder when g(80) is divided by 43?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*a**3 + 321*a wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u - 5. Let l be n(7). Let t(y) = y**2 + 2*y - l*y. Let m(f) = -6*f. Let i(z) = 25*z. Let k(p) = 2*i(p) + 9*m(p). Determine k(t(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 22 = -0*b - 2*b, -5*o = -b + 31. Let n(k) = -k + 5 - 3 - 1 + 1. What is the units digit of n(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve v**5\/4 + 139*v**4\/4 + 657*v**3\/4 - 1735*v**2\/4 + 469*v\/2 = 0.\nAnswer: -134, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/11 (b) -0.11 (c) -23110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 7*h - 3*h**2 + 6*h**2 - 2 - 4*h**2. Let l be m(5). What is the derivative of -f**3 + 6*f - 3*f + l - 3*f wrt f?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -205131 (base 6) to base 5\nAnswer: -1013222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 28946 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1594213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a be 41\/(-5) + 8 + (-603)\/(-15). Suppose -f + 6*f = a. What is the remainder when f is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:33 PM and 4:13 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 0.214, -5, -1, 4, 19 in increasing order.\nAnswer: -5, -1, 0.214, 2, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -1629*b**3 + 5*b**2 + 8*b + 2. What is q(-1)?\nAnswer: 1628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 944320174*g**2 - 944320174*g**2 + 119*g**3.\nAnswer: 119*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 293103821?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = -4*r + 8, 3*r - m = -4*m - 12. Suppose r = -5*j - 7 - 8. What is the units digit of (j\/(-5))\/(2\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 5 + 21 = -5*y, -2*y - 8 = 0. Let d(k) = 9. Let i(h) = -h + 27. Determine j*i(z) + 7*d(z).\nAnswer: 2*z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -13.07 plus -56?\nAnswer: -69.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 7) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -15, 3, 22, -1, 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/8 (b) 48 (c) -5.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 648273 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 665 and 1805.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 12 (base 4) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -5*m**2 + 6*m + 6*m**2 - 4*m + 2*m. Let i be w(-3). Let f be (13\/65)\/(4\/(-30)). What is the biggest value in i, -4\/7, f?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(60) - (sqrt(60)*1 + sqrt(60)))\/sqrt(12)*6 + 3.\nAnswer: -6*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 11431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**2. Let f(c) = 119*c**2 - 680*c. Calculate f(z(t)).\nAnswer: 119*t**4 - 680*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a - 4. Suppose 4*j + 0*j + 8 = 0, p + 4*j + 4 = 0. Suppose 30 = 2*i - p*k, -15 = 3*i - 4*i - 2*k. What is the tens digit of h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -74*g - 12*g + 296 = -134 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is ((10\/28)\/5)\/((-2)\/4)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1558592?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let 2*a**4\/7 + 92*a**3\/7 + 738*a**2\/7 - 7592*a\/7 + 6760\/7 = 0. Calculate a.\nAnswer: -26, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 8 = -4*u. Let k be 1 - (0 + 0 + u). Suppose 5*w = -4*t + 14, -2*w + 9 = 6*t - t. Sort t, k, 4 in descending order.\nAnswer: k, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 697950.5 nanometers in kilometers?\nAnswer: 0.0000006979505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 87 + -10. Find the common denominator of 3\/(-18)*837\/12 and (-35)\/56*m\/10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 23076900 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*p + 8*p - 6*p**3 - 5*p + 0*p to the form c*p**2 + t*p**3 + l*p + s and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) be the first derivative of -31\/7*x**7 + 10 + 22\/3*x**3 + 0*x**4 + 0*x + 0*x**5 + 0*x**2 + 0*x**6. What is the third derivative of k(y) wrt y?\nAnswer: -3720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i**3 - 18*i**2 - 13*i - 32. Let o be g(-17). Let l = 104 + o. What is the greatest common factor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 249021 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 3*l - 36 = 0. Calculate the remainder when 122 is divided by 117\/6 + 0 - l\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4, -11, -60, -161, -332, -591, -956?\nAnswer: -1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-94)*(-43)\/((-7783)\/543)?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4 + 13 + (47 - 33). Solve -h + 8 = -5*i, -h + z = 5*i + 33 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = 9*s - 45. Let u = 10 + 2. Let o be (-974)\/(-12) - 2\/u. What is the greatest common divisor of o and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 465.6668 nanometers in centimeters?\nAnswer: 0.00004656668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.4 and -3990075?\nAnswer: -1596030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (2382 - 484 + 1419)*(-3*j + 0*j + 4*j).\nAnswer: 3317*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 * -0.007.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 302*r - 2745 = -3*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 19, 573, 2, 1, -55 in decreasing order.\nAnswer: 573, 19, 2, 1, -3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -123 - -134 - (-2 - -17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/(-4)*25\/(1650\/(-484)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e and 1 w when three letters picked without replacement from {r: 1, e: 2, w: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-474)\/(-5925) + 1223\/25.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor k**2\/3 + 877985*k\/3 - 1755974\/3.\nAnswer: (k - 2)*(k + 877987)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(88))\/sqrt(4)*5)\/(sqrt(4)\/(sqrt(2) + sqrt(2)*1) + (sqrt(22) + sqrt(22)*-2)\/sqrt(11)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1772, 7078, 15818, 27908, 43264?\nAnswer: 61802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find l such that -156776*l**3\/7 - 89574*l**2 - 626760*l\/7 + 344\/7 = 0.\nAnswer: -2, 43\/78388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 7516*j**2 + 210*j + 9. Is g(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = 5, 3*d - h = -4*h - 12. Let k be (-12)\/(-4) - (d + 3). Let v(z) = 2 + 3 + 2*z + 0 - 2. Let p(n) = -2*n - 4. Calculate k*p(m) + 4*v(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 179519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 405 minutes before 10:09 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:21 PM and 3:33 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 419 + -429. What are the prime factors of 18139\/44 - f\/(-8)?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -392 - -387. What is the closest to -3 in d, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -p**3 - 7*p**2 - 9*p - 1. List the prime factors of i(-7).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76 = 3*j - 104. Let t = j - 40. Calculate the highest common factor of 8 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1000010101 - -110001111111?\nAnswer: 101001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out -2.0117316017 + -5056.\nAnswer: -5058.0117316017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*w - 10 + 12 + 2*w**3 - 9*w to the form t + k*w**3 + r*w + g*w**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 118529.73 minutes?\nAnswer: 82.3123125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 3*p**2 + 4*p - 12. Let b(f) = -4*f**2 - 5*f + 13. Let n(m) = -4*b(m) - 5*k(m). Let o(g) = 1. What is -n(y) + 6*o(y)?\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 8*c**4 - 6*c**2 - 3*c - 3. Let g(u) = 9*u**4 - 7*u**2 - 4*u - 4. Let b(s) = -3*g(s) + 4*k(s). What is the third derivative of b(f) wrt f?\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/21? (a) -6357 (b) -0.2 (c) -0.3 (d) -0.1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*m**3 + 17 + 21 - 62 + 24.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h**3 + 14*h**2 - h + 16. Let u be (-1 + 0)\/(3\/(-42)). Let d be x(u). Solve -3 - 3 = -4*w + 2*v, -d*v + 26 = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -60256495 by -2.\nAnswer: 60256495\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 86.7 - 93. Let v = x - -11.3. Let m(w) = -w**2 - 4*w - 3. Let u be m(-4). Which is the second smallest value? (a) 0 (b) u (c) v (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (3 - 0 - 14) + (11 + -20 - -1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 633\/8, 0.4, 6, 45, -2 in decreasing order.\nAnswer: 633\/8, 45, 6, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -26531 + 26387. Sort k, 3, 5 in decreasing order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000154526496 to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4680550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 6, c: 6}. What is prob of sequence cc?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + 9 + -5 + 14 - (4 + -4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -2*l**2 - 1475*l + 7*l**3 - 4*l**3 + 2*l**3 + 1388*l in the form f*l**2 + t + h*l**3 + o*l and give o.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 6*d**3 + 4*d**2 - 7*d. Let b(y) = -y**3 - y**2 - y. Suppose 8 = 9*l - 7*l. Let s(m) = l*t(m) - 20*b(m). Find g such that s(g) = 0.\nAnswer: -1, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange p**3 + 3*p**3 - 5*p**3 + (-2*p**2 - p**2 - 7*p**2)*(2*p + 1 - 1) to the form f*p**2 + w*p + a*p**3 + b and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the first derivative of -s - 3 + 2 + 2*s**2 - s**2. List the prime factors of d(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 4 = -d. Suppose d*q + 146 = 1346. Is 9 a factor of (-2)\/11 + q\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 22253712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/(2\/3)*1. Let y be (8\/(-20))\/((-2)\/10). Let p be y\/(-1 + 14\/12). Calculate the greatest common factor of f and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c - 4*n = 20, 2*n + 2*n = -20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes after 10:58 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3512975 and 332.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence acco when four letters picked without replacement from zzaccon.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:36 PM and 10:40 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7\/(147\/12))\/((-150)\/(-21)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 311*f**2 - 155*f**2 - 148*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7736649 days in minutes?\nAnswer: 1114.077456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3624 a factor of 58987557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*l = 203*o - 198*o - 16*l - 25, -l + 10 = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 22 + -45\/2. Let l = 4523.3 - 4522.8. Let v = -0.3 - -0.3. What is the second smallest value in l, n, v, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 459957?\nAnswer: -4\/459957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -311, -313, -315?\n\"Answer: -2*p - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 332 and 83.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve b - 3 = 4*m - 9, -2*b + 4 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/9*(-3534)\/27683.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) be the first derivative of -o**3\/3 + 15*o**2\/2 - 13*o - 2. Does 13 divide i(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 43\/4 of a tonne?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -36 + 41. Let w(u) = -11*u - 12. Let c(r) = -5*r - 6. Let j(t) = -9*c(t) + 4*w(t). Let q be j(-4). Solve -5*k = -5*i - g, -4*k = -q*k - 4*i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -17 - -11. Let d(u) = 2*u - 2. Let o be d(h). What are the prime factors of (-79)\/(-7) - (-4)\/o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, t: 2, b: 8, x: 5}. What is prob of sequence mtb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -371, -1465, -3281, -5813, -9055, -13001?\n\"Answer: h**3 - 367*h**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 33 minutes after 12:02 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w**2 - 4*w + 10. Give h(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:49 PM and 3:27 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*(-14)\/980*-25*6\/15.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 362 + -355. Let s = 1105.96 + -1106. Put a, 2, s, 0 in increasing order.\nAnswer: s, 0, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -2*y - 18. Suppose -d = -4*c - 46, 0*c = 3*c - 3*d + 39. What is the least common multiple of t(c) and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fhpfofoxfzfoffxhfxf. What is prob of sequence ox?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -8*b. Let p(r) = 24*r**2 + r. What is p(u(y))?\nAnswer: 1536*y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 384564405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s be -12 + (0 - -11) - 3268\/(-10). Let q = s - 324. Factor -6\/5 - 3\/5*k**2 - q*k.\nAnswer: -3*(k + 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.31 - 0.81. Let o be (-1 - (-6 + 3))\/(-9). What is the third biggest value in 0.1, i, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4486 - 6715 = 245*n + 1603 - 2759 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = -0*r - r. Find the common denominator of (-359)\/18 - 6\/r and -34.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2110 - -2111. Which is the closest to p? (a) 4\/7 (b) -2\/13 (c) 0 (d) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 4*f - 256 = 0, 250 = 4*c + 2*f - 3*f. Suppose -4*l - 8 = 0, -3*p = -2*l - l - 66. Let y = c - p. Calculate the remainder when y is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 98112 times -7?\nAnswer: -686784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7024379.0245212 + -7024377. Let x = o - 0.0245452. Let i = -2 + x. What is i rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4717*b*r - 2*b - 328*r - 5 wrt b.\nAnswer: -4717*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 112*b + 2 - 1 - 2*b**3 - 1.\nAnswer: -2*b**3 + 112*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(66\/(-5)) - 6\/33.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3 + 4)\/(1\/3). Suppose x - 5*h = 5, 5*x = -0*h - l*h + 25. Suppose -4*p + 18 = 2*b, 5*b - 59 = -5*p + 1. What is the highest common factor of b and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 19*r**3 + r**2 + 18*r - 53. What is the tens digit of l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the first derivative of -2*z**5\/5 + 11*z**4\/7 - 16*z**3\/7 + 10*z**2\/7 - 2*z\/7 - 69. Factor q(p).\nAnswer: -2*(p - 1)**3*(7*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/2, 2\/15, 0.984, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that 2*h**5\/17 - 52*h**4\/17 - 452*h**3\/17 - 344*h**2\/17 + 450*h\/17 + 396\/17 = 0.\nAnswer: -6, -1, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*m - 1840*m**3 + 2*m.\nAnswer: -1840*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -17 + 69. Suppose 3*q + v = 166. What is the remainder when q is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -186*s - 30*s - 3801 = 208*s - 18641 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 11043801 and 208638?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j + 8*j = -p - 47 + 14, 8*j = -48 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0 - -2. Suppose 0 = p*u, -3*u + 39 = -i + u. Find the common denominator of i and -23\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-2)\/(-39))\/((-2)\/6). Suppose 0 = -4*o - 2*g, -4*o + 3*g + 0 = -10. What is the nearest to 0.1 in f, o, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 130 = u + 19. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001514853201 to 7 dps.\nAnswer: 0.0015149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -55 - -57. Let a = -4.3 - 17.7. Let w = -22.03 - a. Are w and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -64*y - 1. Let b(t) = 326*t. What is u(b(p))?\nAnswer: -20864*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w**2 + 48*w - 127. Let t be (-4)\/(-22) - (-1 + 524\/(-22)). Does 32 divide p(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:29 AM and 7:37 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (-4*(-4 + -3*(-4 + sqrt(684)*2 + -2)))**2.\nAnswer: -16128*sqrt(19) + 397119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-18)\/45)\/(606\/(-90) - -6)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 70\/816 - (-3 - 0). Let w = -104\/51 - h. Calculate the common denominator of -59\/22 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*a + a + a)*(-1 - 2 + 1) + 389*a - 2348 + 2348 to the form n*a + h and give n.\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -111 = -4*q - 4*a - 459, -2*q - 5*a - 165 = 0. Let k be 2\/(-6) + q\/(-27). What is the derivative of 145*h - 145*h - 8*h**2 - k wrt h?\nAnswer: -16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -13*a**2 + 3*a + 4. Let g be b(3). Let h be (-4)\/(-18) - g\/18. Let n be (-59)\/(-3) + 2\/h. What is the greatest common factor of n and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-41)\/(-41))\/((-2)\/(-18)). Suppose 1449 - 1341 = p*i. Calculate the smallest common multiple of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - 3) + 3 + (14 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = 20, 0 = -g + 3*g + 3*l - 9. Let n be g\/(-6) + 6\/4. Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 16255 by 5.\nAnswer: 3251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the third derivative of o**4\/12 + 9*o**2. Let k(b) = b**2 - 14*b + 14*b. What is k(r(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -15 - -26 - (21 - -3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -3*p**4 - p**2 + 2*p + 2. Let m(d) = -7*d**4 + d**3 - 2*d**2 + 5*d + 5. Let z(q) = 6*m(q) - 15*n(q). Determine y so that z(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4962230 is divided by 261167?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:55 AM and 6:53 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 141002 - 2?\nAnswer: 141000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in twenty-seven halves of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1437827 = -34*x - 451079. List the prime factors of x.\nAnswer: 2, 3, 7, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**(-2\/83)*o**(3\/14)*o*o**2\/(o**(-20)\/o))**(-8\/11) assuming o is positive.\nAnswer: o**(-10644\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 694178070.\nAnswer: 2, 3, 5, 59, 173, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = 30 - 13. Let d be (1 - 3\/3) + 4. Solve 3 + k = d*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**2 + f. Let q(d) be the third derivative of -d**5\/5 - 2*d**4\/3 + 9*d**2. Let l(g) = -48*c(g) - 3*q(g). Let u(z) = 2*z. What is l(u(w))?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1 + 1 + (0 - 0). Let b(f) be the third derivative of f**5\/30 - f**4\/8 + f**2. Let h be b(2). Put h, s, -5 in decreasing order.\nAnswer: h, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/41? (a) 0.5 (b) 2.8 (c) -5 (d) 15404\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 109\/1788 and 94\/34209357?\nAnswer: 136837428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 10411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-127)\/3)\/(13\/(-117)). Suppose -3*w - 3*p - f + 1086 = 0, 2*p = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(153) - (sqrt(153) + 3*sqrt(153))) - (sqrt(153) - sqrt(153)*-3*4))\/((1*sqrt(54)*1)\/(sqrt(54)*-3)).\nAnswer: 252*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1309, 2616, 3923, 5230, 6537?\nAnswer: 7844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(18)\/sqrt(36))**2 + -4 - (5 + (sqrt(22) - (sqrt(264)*2)\/sqrt(12) - sqrt(22))\/sqrt(11)).\nAnswer: -1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -9.88, -4, 1\/64, 0.9?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -b**2 - 6*b**3 + 0*b**3 - 11*b**2 + 12*b**2.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/9, 2\/7, 5, 4, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 404496800 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (-6 + 5) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 5*x**3 - 1660*x**2 - 89*x + 29451. Calculate r(332).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, o: 4, c: 1, i: 2, j: 2}. What is prob of picking 1 o and 1 c?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 7833872 at least as big as 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -2*m**2 - 19*m - 7. Determine v(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1448 - 639 + 11*f**2 + 3*f - 809.\nAnswer: 11*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5206 is divided by 4545?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46 = -3*p + 19. Which is greater: -8 or p?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1560841727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -y**3 - y**2 - 2*y - 3. Let c be o(-3). Let z be (8\/(-10))\/((-20)\/50). Solve z*b - 4*f - 18 = -0*f, -b + c = -5*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -4*m + 15. Let x be b(6). Is 4 a factor of (-42)\/x*(-60)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -16? (a) 14\/25 (b) 1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, -1\/7, 1\/8, 68, -1\/6, -37?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 69\/44 in 4, 0, -0.1, 48, -0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1 - 0. Let r be 14\/4*(12 + 7 + -15). Let a be (-5)\/(-14) + (-6)\/r. Is h at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1135171*k - 18 = 1135173*k + 4*s, k = -4*s - 11 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(26)\/(sqrt(88)\/sqrt(11))*5)**2.\nAnswer: 325\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 69 + -47. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 2*9\/(-24) + 14\/8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.07 + 0.02. Let i = -0.21 - t. What is the second biggest value in i, -3, 1\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in 11\/49, -5, 3\/5, -0.5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 56*j**2 - 457*j - 448*j - 449*j + 1778*j - 445*j in the form g + k*j + z*j**2 and give z.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 0.3 (b) -0.18 (c) -0.6 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 169 + -67. Calculate the highest common divisor of 357 and i.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -3*r - 5. Let f be o(-5). Let w(d) = f*d - 9*d + 4*d + 1. Is 12 a factor of w(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-8)\/(-2)*1\/2. Let u(k) be the second derivative of -k**5\/20 + k**4 - 11*k**3\/6 - 2*k**2 - 15*k. Let m be u(11). Put z, m, 3 in decreasing order.\nAnswer: 3, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 3152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 + 235a?\nAnswer: 235b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3.74291 + 0.04709. Which is smaller: 2\/21 or f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29 = j + 4*p, 0 = 4*j + 3*p + p + 92. Let w = 5 + -37. Let u = j - w. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -324*s - 72*s + 42364 = 227*s for s.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 461, 1051, 1765, 2603, 3565, 4651?\nAnswer: 5861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*b + 3*y - 51, 3*y = -1082*b + 1081*b + 36 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 1335677 (base 9) to base 14.\nAnswer: 150d16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l - 206 + 63 = -10*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -18 + 11. Let i = -3 - -7. Let k be (16*70\/5600)\/(((-6)\/10)\/(-3)). Put k, w, i, -3 in ascending order.\nAnswer: w, -3, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 32266473*a + 15553809 wrt a.\nAnswer: 32266473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 426109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u**2 + 12*u + 31. Determine s(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 1)*(25 + 145 - w - 25)*(0 - 4 + 0).\nAnswer: -4*w + 580","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 2*d + 5*f = -17, 4*f + 18 = 3*d. Suppose -t - d*h = t + 12, -3*t + h = 10. Calculate the common denominator of (-8)\/(-4) + 134\/t and 101\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4702273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -31, -26, -31, -52, -95, -166, -271?\n\"Answer: -f**3 + f**2 + 9*f - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 12*h - 70. Let v(j) = 19*j - 105. Calculate 8*g(s) - 5*v(s).\nAnswer: s - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 55855*t**3 - 2*t**2 - 54733*t wrt t.\nAnswer: 335130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((3 + (sqrt(75) - 1*sqrt(75) - sqrt(75)) + -3)**2 - (-3 + -1 + sqrt(75) + sqrt(75) + sqrt(75))**2*-1).\nAnswer: -120*sqrt(3) + 767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 21 - -337330?\nAnswer: 337351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.1, -4.6, 0.06, -9.2?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -45101\/22840 - -114\/571. Let p = 27578 - 1378801\/50. Find the common denominator of p and v.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 191*a + 756*a - 333 + 1443*a + 332 as k + x*a and give x.\nAnswer: 2390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the third derivative of d**4\/8 + d**2 - 37. Let y(s) be the third derivative of s**4\/8 - s**2. Calculate y(w(l)).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 0.836358 micrometers?\nAnswer: 0.000836358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 21*h**2 + 105*h + 1. What is q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u be -15 - (335265\/(-720))\/31. Let b(v) be the second derivative of -u*v**4 + 0 + 1\/8*v**3 - 1\/4*v**2 + 16*v. Find o, given that b(o) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 19 = -1. Solve 0 = m*y - 3*s + 8*s - 10, 4*s - 4 = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 64 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 - -166250?\nAnswer: 16624c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 22*o + 180. What is the lowest common multiple of 10 and m(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3.105 + -22.895. Let h = 0.07 - 0.17. Which is bigger: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-53 - (12 + -24)) + (-7 - -2) + -11 + -2\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqzqqqzzqzqqqzqqzqz. Give prob of sequence qzz.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 27360650, 27360644, 27360638, 27360632?\n\"Answer: -6*w + 27360656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 2*h**2 + 2*h + 3. Let z be q(-6). Suppose 8 - z = -c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 2, i: 6, x: 2, v: 4, g: 1}. What is prob of picking 1 i and 1 v?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -5*s. Let m(d) be the third derivative of 2*d**4\/3 - d**3\/6 + 8*d**2. Let q(c) = 21*j(c) + 6*m(c). Differentiate q(b) with respect to b.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 divided by 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 + -17. Let b = v + -2. Let r = -6 - b. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -49\/221 and -149\/172380.\nAnswer: 172380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 1 (b) 549 (c) -0.5 (d) 0 (e) -2 (f) 3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k be -4 + 25 - (1 + 0). What is the highest common factor of 100 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 - 1018573281.712?\nAnswer: -1018573281.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 81.00824 milligrams?\nAnswer: 0.00000008100824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*d + 0*d - 2*d + (-3*d + 4*d + 3*d)*(1 + 5 + 2).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-12)\/(-6))\/(-5 + 0) - (-3429)\/6985.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 - 3010?\nAnswer: -3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*z + z - 12*z - 2*z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -69\/23134 and 15\/4.\nAnswer: 46268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 5 (b) -0.2 (c) 536 (d) 19\/3 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -56*x + 54*x + 1162. Let r = x - 206. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11 + -2123?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -1410889000 rounded to the nearest one million?\nAnswer: -1411000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gzzgzzzlzzlzgg. Give prob of picking 1 l and 2 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*g + 16*g + 10 = 0. Let d(r) = 4*r**3 + 1. Let v be d(-1). Put 0, v, g in descending order.\nAnswer: g, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d**2 - 9*d + 9*d + (d**2 + 0*d**2 + 0*d**2)*(2 + 0 - 1))*(2 - 2 - d**2).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12 + -200102?\nAnswer: -200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2406115 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y**5 - 12*y - 80*y**2 - 8*y - 115*y**3 - 80*y**4 - 10*y**5 + 10*y**4 = 0.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (100\/(-10) - -1958) + 8 + -3.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1480\/3885*54\/(-4)*(-63)\/27.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -3125*n**2 - 9350. Let j(h) = -44*h**2 - 132. Let z(t) = -6*d(t) + 425*j(t). Let x(s) be the first derivative of s**2\/2 + 2. Give z(x(m)).\nAnswer: 50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -142.9 and -9213.2?\nAnswer: 1316566.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-8)\/((50\/(-15))\/5). Solve 8*g = m*g - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -2*c**3 + 11*c**2 + 2. What is the remainder when 53 is divided by a(5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4503735?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -5*d + 187. Let w(r) = -285*r + 3744. Let m be w(13). Give y(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2 + -2.50116239\nAnswer: -2.30116239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = 4*a. Let q be 2 - (-4)\/(-1) - (a - -1). Let w be ((-14)\/(-8))\/((-39)\/12 - q). Let c(z) = z**3 + 8*z**2 + 4*z - 10. Determine c(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 97, -8, 8\/103?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/(-18) - (-3619)\/(-11781))*(-3)\/2.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (0\/(-1))\/(5 + -4). Suppose j = -3*g + 3*n + 201, -3*g + 8*g = -5*n + 285. What are the prime factors of g?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = i**2 + 2*i + 1. What is the smallest common multiple of n(3) and 7?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -21 bigger than 0.133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.02807964 rounded to 3 decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 8*a + 4. Let x = -11 + 6. Let g be s(x). Let q = -6 - g. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 21546219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -170 + 211 - 171 + 130 + 4*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 12539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 4882676*d + 3624150 wrt d?\nAnswer: 4882676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the third derivative of -1171*i**5\/12 + i**4\/12 - 19*i**3 + 2851*i**2. Find the second derivative of t(j) wrt j.\nAnswer: -11710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = -1 - 2. Let o = 6 + c. Let d(p) = 2*p**2 - o*p**2 + 3 + 4*p**2 - 6*p. What is d(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -68, -88, -128, -188, -268?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-122*o - 86*o + 243*o)*(10 - 2 + 0) + ((o + 0*o - 3*o)*(2 + 4 - 4) + 2 - 2 + 2*o + 0 + 0 + o)*(-1 + 0 + 3).\nAnswer: 278*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -68615.83899 + 68615. Let q = s + 0.787. Let d = q + 0.05. Round d to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/8 + 27\/12. Let j be 1563 + 9*1*(-3)\/9. What is the common denominator of o\/(-13) - 3582\/j and 29\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**7*g**(-11\/3) assuming g is positive.\nAnswer: g**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m + 72 = 4*j, 1508*j - 1506*j - 5*m = 134 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 170*w - 263. Let y be z(17). Suppose 2624*l = y*l + 72. Let k = 2599\/3 - 890. Does l = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 306 a factor of 71910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.1 - 0.27. Let d = -2.17 - o. Let u = -0.2 + 0.4. Which is the biggest value? (a) d (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 437 - 397. Is (-5)\/(f\/(-11176)) + -4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 297 + -567. Let c be 6*(-6)\/t + 72600004\/(-30). Round c to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 287144 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(2\/81)*v**(-6\/11)*v**(-1\/18)\/v*v\/(v\/(v\/v**4*v*v)*v) assuming v is positive.\nAnswer: v**(-6373\/1782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 890 and 3034930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 78 and 291369?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -12 - -413?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve x**5\/3 + 187*x**4\/3 + 1581*x**3 - 636079*x**2\/3 - 23274844*x\/3 + 25135264 = 0 for x.\nAnswer: -101, -44, 3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 11 - 15. Let q be 1*(-2)\/(l\/(-2)). Let g(n) = -n**3 + n + 1. Calculate g(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 + -3 + 4 + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.23 + 0.28. Let y(q) = 12*q - 33. Let o be y(9). Let k = o - 75. Sort k, f, -4 in descending order.\nAnswer: f, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that y**3\/2 + y**2 - 264*y = 0.\nAnswer: -24, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -139*c**3 - 104*c**2 + 104*c**2 + (0 + 0 + 2*c)*(-c + c - 2*c**2) + (23*c**2 - 39*c**2 - 4 + 3*c + 18*c**2)*(2 - 2 - 2*c).\nAnswer: -147*c**3 - 6*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**2 - 11*j - 26. Suppose 3*h = -6 - 6. Let p be o(h). Suppose p*b = -5*d - 0*b + 66, 4*d + 4*b - 60 = 0. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-153806)\/(-22) + 158\/(-22) + 7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -45.0664 take away -2.7?\nAnswer: -42.3664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 + 2)*(-2 + 2*y + 2) - 6*y + 26*y + 23*y.\nAnswer: 41*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*l + 0*l - 5*l + (0 - 2 + 0)*(-5*l + 3*l + 3*l))*(-161*l**2 + 64*l**2 - 251*l**2).\nAnswer: 3480*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/((-2)\/12) + -1. Let j = 65 - 113. Let o = -53 - j. Sort -4, d, o in increasing order.\nAnswer: o, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1031 - -2322?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 48*n - 1282*n - 4 = -1807 - 665 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3012628?\nAnswer: 2, 101, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 90\/2*-1*(18\/8)\/((-170)\/(-136)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) be the first derivative of c**3\/3 + 5*c**2\/2 + 9*c + 1. Let d be b(-6). Suppose -s + d = 4*s, 57 = 3*z - s. Solve g + z = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -46030, -46071, -46112?\n\"Answer: -41*t - 45989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4\/1237? (a) 2\/11 (b) -4 (c) -2 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 165 and 5220?\nAnswer: 57420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.255, -0.2, -0.1, 63\/2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 332*n = 81*n + 2120197. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w**2 + 10*w - 15. Let n be l(7). Let p be n*(-2 - (-105)\/50). Which is the second biggest value? (a) -2 (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve j + j - 5*n = -19, 2*j - 1 = n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ppee when four letters picked without replacement from {p: 11, e: 6, f: 1}?\nAnswer: 55\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -20, -42, -54, -50, -24?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z + 6. Let f(m) = -m**2 + 4. Suppose -4*l - j = -5*j - 4, -j = 2*l + 1. What is the smallest common multiple of f(l) and t(-8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i**2 + 4*i - 8. Let a be q(-6). Let p be (-36)\/(-9) + 32\/2. Suppose p*c - 20 = 16*c. Solve j + c = -5*f - 1, -4*j - a = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g**3 - 12*g**2 - 7*g + 10. Let c be v(-21). Let s(q) = c + q**2 - 4126. Let k(o) be the second derivative of 25*o**4\/12 - o. What is s(k(m))?\nAnswer: 625*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/15 of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 10450 + -94040\/9. Which is smaller: 14 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*n**2 + 996*n - 996*n.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes after 12:44 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 95*i - 1\/3*i**3 - 143\/3 - 47*i**2.\nAnswer: -(i - 1)**2*(i + 143)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 + -6 + 2 - -1 - -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -552*i + 7. Let k be c(9). Find the common denominator of (k\/(-1025))\/(2\/5) and (14\/2)\/(36\/(-14)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 55\/12142 and -7\/192?\nAnswer: 1165632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 71419658 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (8\/(3 - -1))\/52*4\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - 25) + 10 + 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y**3 + 3*y + 2. Let o(q) = 5*q**3 - 13*q - 8. Suppose 0 = -3*m + 4*f + 26, -2*m - 15 = 3*m + 5*f. What is m*o(z) + 9*a(z)?\nAnswer: z**3 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (k**2 - 3*k**2 + k**2)*(0 - k**3 + 0) + (-k**2 + k - k)*(-k**3 + k**3 - 2*k**3).\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qj when two letters picked without replacement from bqjxqubqqbjbqbui?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = 24 - 16. Suppose 3*x = 2*x - g. Let s = x + 16. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1170 and 30570174?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 34957198819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 56875*z**2 - 2*z + 11. Let w be p(8). Suppose 5*b = -4*h - w, -3*b + 1733493 - 5373490 = 4*h. What is h rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c - 17 - 4. Suppose c*u - 14 = 91. Calculate the remainder when 40 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -151\/60 and 34\/23.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -0*r - 2*r. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z**3 + 11*z**2 + 26. Let h be t(-10). Suppose 132*r - 30 = h*r. Sort 2, -60, r in decreasing order.\nAnswer: r, 2, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8364588.\nAnswer: 2, 3, 697049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 0 + 3)*(0*k + 0*k - k**3) + k**3 + 2*k - 2*k + k**3 - 2*k**3 - k**3 + 138*k - 67*k - 38*k**3 - 68*k as q*k**3 + g + r*k + h*k**2 and give q.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 7520616251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and -2611266.\nAnswer: 7833798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 70284815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -6\/7, -4, 4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 371 minutes before 2:00 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*u + 4 - 4)*(-2*u + 2*u + u)*(77*u + 22*u - 34*u).\nAnswer: -455*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -g - 4. Give w(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.9 in 2\/3, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {o: 4, s: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 5 (c) 159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.310365909 rounded to four dps?\nAnswer: -0.3104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = -4*n + 20, n + 0*n = 2*r + 6. Let y be 7 + r - (-1 - -2). Suppose 4*l + 83 = y*l. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 296*w - 45. Let i be f(2). Let c = i + -543. Solve -3*r = 3*y - 24, 4*r - 3*y + c = 2*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-8)\/(-12))\/(6*2\/6786) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2503843133?\nAnswer: 11, 73, 457, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -8 (base 12) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(4\/17)*j)**(-22)*j**(-19)\/j**(2\/89))**(-18) assuming j is positive.\nAnswer: j**(1258182\/1513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z**2 + 7*z. Let n be l(-5). Let v be 2\/10 - (-2)\/n. Suppose 4*t - 5*j = -v*t + 40, 36 = 4*t - 4*j. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 7*m**3 + m**2 - m. Let y = 3 + 0. Calculate the remainder when h(1) is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -399 (base 16) in base 13?\nAnswer: -55b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -3858 + -261?\nAnswer: -4230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 137\/18 and -47\/174.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 24 + -40 + 2 - -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**3 + 8*q**2 + 10*q + 21. Let g be k(-7). List the prime factors of 25 - 0 - (g + 0 + -1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the third derivative of -29*k**7\/42 - k**6\/30 + 1431*k**5\/10 - 357*k**2 + 2*k - 1. Find the third derivative of t(c) wrt c.\nAnswer: -3480*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k**2. Let x(l) = -926*l + 2. Determine x(h(y)).\nAnswer: -926*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 99 + -98.856. Let o = -23.144 + j. Sort o, 3, 4\/9, 0.4 in increasing order.\nAnswer: o, 0.4, 4\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**2 + 8*g - 3. Let u(y) = y**3 - 7*y**2 - 16*y - 9. Let r be u(9). Suppose -31*a + 34*a - r = 0. What are the prime factors of k(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*w - 31 + 7 = 0. Suppose 0 = w*b - 4*b + 6*b. Let t be b*((-7)\/(-2))\/7. Solve 3*k = -4*u - 20, t = u + k - 3*k + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes after 7:57 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 16 + 12. Let b(x) = 4*x**2 + 6*x - 6. Let s be (-2)\/11 - 9\/((-990)\/130). Let d be b(s). Calculate the greatest common divisor of d and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -1\/4 (b) -7\/5 (c) -2 (d) 146\/7 (e) -2\/5 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the second derivative of -j**4\/12 + j**3\/2 - j. Let f be b(7). Let h be (f\/21)\/(2\/(-6)). Solve -2*w = h*n + n, 0 = -3*n - 3*w + 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-5)\/z)\/(z*z\/((z\/(z*z**(-1\/10)\/z))\/z*z)))\/((z*z**(2\/3))\/z)**(20\/11)*(((z*z**(5\/2))\/z)\/(z*z**(-6)))\/(z**3*z*z**(-5)) assuming z is positive.\nAnswer: z**(64\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6667535 is divided by 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -153 - (-76 + -175 + 96)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1\/50 + -53\/150. Let r = -2 - -1. Let p(w) = -4*w**3. Let k be p(r). Sort i, -2, k.\nAnswer: -2, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2006 and 408.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be -37*(-2 + 1) + 13\/13. Let k(u) = -u**3 + 37*u**2 + 45*u + 58. Let p be k(z). What is the greatest common divisor of p and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 196686 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 896 = -571*h + 3180. What is the lowest common multiple of 987\/9 - 2\/(-6) and h?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -107 - -139. What is the common denominator of (-60)\/m - (-1)\/(-4) and 3\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14499179 + 4.\nAnswer: -14499175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 0*r = -162. Suppose -115 = -3*y + 8. Let c = y - r. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 38.189 and -0.5.\nAnswer: 37.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-102)\/(-12) - (-1)\/(-2). Suppose -4*a - 12 = o. What is the nearest to -1\/3 in 1\/4, a, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve u + 15 = -8*r + 8 + 44, 5*u - 13 = 3*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 48502*j*k**2 - 77586*j*k - k**3 wrt k.\nAnswer: 97004*j - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 31*x**2 + 2*x - 243. List the prime factors of r(18).\nAnswer: 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify t\/(t\/t**(8\/13)*t)*t**(-4)\/t assuming t is positive.\nAnswer: t**(-70\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 2*f + 6 = 0. Let n(p) = -5 + 4 - f - p + 2 - 2*p**2. Let s(m) = -2*m**2 - m. Suppose -5*z = -a - 3*a + 32, -z = 4. Determine a*s(u) - 2*n(u).\nAnswer: -2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8336 is divided by 270.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 595 + -575. What is the smallest value in 5, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 13 + -323?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 44 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -0.16, -2\/9 in decreasing order.\nAnswer: -0.16, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = 406.929 + -0.929. Let p = 406.1 - n. Sort 0.05, -4, p in decreasing order.\nAnswer: p, 0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange b**4 + 3*b**3 + 13 + b - 4*b**2 + b**2 - 2 + 2*b**2 - 2*b**4 to the form v*b**2 + k + u*b + t*b**4 + q*b**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -4.7, 2\/3, -4, 294, -2, -5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*z - 405 = 12*z. Let n = -283 + z. Suppose 4*g - 121 = -3*h, -2*g + n = g - 4*h. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 86095196 divided by -4\nAnswer: -21523799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.058 * -3.\nAnswer: 0.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 132d6 (base 14) in base 11?\nAnswer: 32535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 35390580 and 146686.\nAnswer: 2066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, 4, -43 in decreasing order.\nAnswer: 9, 4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x**13*x)**(1\/5) assuming x is positive.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = -38 + 169. What is the remainder when (-1 + 6 - 4)*b is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 365*h**3*u - 56885*h**3 - 1133449*h*u + 279*h + 1 wrt u?\nAnswer: 365*h**3 - 1133449*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 6*m**2 + 1 + 10*m**2 + 12*m**2. Let a = 8 - 7. What is the remainder when j(a) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 2037 and 2040 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -13785 = 16*a - 13609 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(684) - sqrt(684)*-2) + -5 - (sqrt(684) - 6*sqrt(684)*-2))*-2 + (5*sqrt(684)*-3 - (sqrt(684) + 3*-2*sqrt(684))).\nAnswer: 10 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d**3 - 3*d**2 + 19*d. Let w be o(3). Let x(n) = n**3 + 7*n**2 + 6*n - 4. Let j be x(-5). Suppose j + 5 = w*a. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*a**3 + a**2 + 326*a**4 - 7*a + 320*a**4 - 654*a**4 + 9 + 2 + 0*a as q*a + n*a**3 + k + x*a**2 + t*a**4 and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -1674.9*-1.885\nAnswer: 3157.1865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -82\/385 - 4\/55. Let s = 5.81 + -5.71. Sort s, 3, 0.4, j in ascending order.\nAnswer: j, s, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 84916 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from txxootottot. Give prob of sequence tox.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -17287033 (base 10) to base 12\nAnswer: -59580a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be -27 - ((-2)\/(-4))\/(3\/18). Let o = 36 - s. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 - 107?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and 1\/272466 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47 = -4*o - k, -8*o + 7*o + 3*k = 11. Calculate the least common multiple of o and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5700 and 5016?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 5*v + 45 = 0, j + v = 5*j + 30. Let b(q) = -5*q + 48. Let t be b(j). Let d = t + -59. What is the remainder when 69 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**2. Let j(c) = -17*c - 2951539. Give j(k(o)).\nAnswer: -17*o**2 - 2951539","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -106210*v + 1934614 wrt v.\nAnswer: -106210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 3895, -17, -22.\nAnswer: -22, -17, 3895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*p**2 + 32*p**2 + 14*p**2)*(6*p - 3*p - p) + 4*p - 4*p - 2*p**3.\nAnswer: 108*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 25671, 25669, 25667, 25665, 25663, 25661?\n\"Answer: -2*c + 25673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 597 minutes before 10:08 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tmdztmzgtzkg. What is prob of picking 2 t and 2 g?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -125 divided by 9.\nAnswer: -125\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -53 + -27.134022?\nAnswer: -80.134022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 290 + 3?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 2853, 2809, 2767, 2727, 2689?\n\"Answer: v**2 - 47*v + 2899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 4*y + 1273 = -0*y, 3*c = 5*y + 3854. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -373, 5, -4 in descending order.\nAnswer: 5, 0, -4, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 389?\nAnswer: -1\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-9091302)\/(-142945))\/((-12)\/10).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 21306 and 986508.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2.3 (b) 6 (c) -4\/71 (d) 0 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*h - 2*w + 148, -196 = -4*h - 4*w + w. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-3\/10)*s\/s**(2\/5))\/(s*s**0\/s*s*s*s**10\/s) assuming s is positive.\nAnswer: s**(-107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 410246?\nAnswer: 2, 41, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 73 a factor of 47783975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6109 - 6115. Which is the smallest value? (a) g (b) -15\/19 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-u**2 + 0 + 0)*(-4*u + 6*u - u)*(-u + u - 3*u**2) + 0*u**3 + u**5 + 0*u**3 + u**5 + 3*u**5 - 5*u**5 + (3 - 2 - 3)*(-3*u**5 + 2*u**5 - u**5).\nAnswer: 7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 29943.\nAnswer: 3, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 + 2. Let f(v) = v**3 + 0*v**3 - 89*v + 2 + 87*v. Calculate f(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*q**2 + 6122630*q - 140823135.\nAnswer: 5*(q - 23)*(q + 1224549)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 13 (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.4, 3, -290?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = m**3 - 17*m**2 + 4*m + 81. Is s(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 + 3 + (3 - 1) - -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -4*m - 18. What is the smallest common multiple of 176 and z(-7)?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7361016 and 936.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 2*h - 25. Let z be r(15). Solve 0 = -2*f + n - 9, 0 = z*n - 12 - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(1\/15)\/c)\/((((c\/(c*c*c*c**(-4\/5)*c))\/c)\/c)\/c))\/((c*c**(-7))\/(c*c**8)) assuming c is positive.\nAnswer: c**(289\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*p - 9*p + 24. Suppose -d = p*d - y + 4, -d = -y + 4. Let i be (4 + -4)\/(-1) - -2. Solve l - i*l = d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -130*t**2 + 799245*t + 619619569.\nAnswer: -260*t + 799245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -11\/720 and 55\/30714784?\nAnswer: 1382165280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = n + 43, 0 = n - 4*n - 9. Suppose -4*u = -104 - h. What is the greatest common factor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -v**4\/10 - 191001*v**3\/10 - 1818383139*v**2\/2 + 2717173166697*v\/10 = 0. What is v?\nAnswer: -95649, 0, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the first derivative of 64\/45*v**5 - 2\/27*v**6 + 1024\/9*v + 1216\/27*v**3 - 100\/9*v**4 - 79 - 896\/9*v**2. Find y, given that i(y) = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-54)\/(-15))\/((-10)\/(-25)). Suppose 0 = 3*j - p, 2*r + r + j = 1125. Suppose -n + r = 10*n. Calculate the remainder when n is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*g - 1 + 2*g - 5*g.\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.05 from -697670.\nAnswer: -697669.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 5*j = -127, -550 = -4*m - 2*j + 3*j. Suppose 0 = -s + 11 - 9. Suppose -s*p - 188 = -5*p - 5*r, m = 2*p + r. What are the prime factors of p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -138 = -5*r - r. Suppose g = -0*g + r. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 753677.1 months?\nAnswer: 6280.6425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 40*a*b*g**2 + 882*a*b - 26*a*g - 2*a wrt g?\nAnswer: 80*a*b*g - 26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 2*w - w + 10 + 0*w - 2. Let l be b(-12). Let a(o) = -4*o**2 + 2*o + 6. Let y(r) = -r**2 + 1. Let p(n) = a(n) - 5*y(n). Determine p(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -103\/192 and 25\/1416051.\nAnswer: 90627264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 6*x**2 + 65*x - 263. What is the remainder when 302 is divided by o(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -219.71 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -689 or -687?\nAnswer: -689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Add 722572543663 and 33.\nAnswer: 722572543696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(13) - (sqrt(13) + -2*sqrt(13)*2) - (0 + sqrt(26)\/sqrt(2))) + 3)**2.\nAnswer: 18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) be the first derivative of 2*d**3\/3 + 3*d**2\/2 + 3*d + 11. Give p(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -4*s - s. Solve 8*r - 7*r = -s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -21 + 59. What is the remainder when 145 is divided by q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + 3 - (-3 + 3 + (-3 - -37))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 26108657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-36)\/14)\/((-430)\/(-1505))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 16 and 59608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 5*f + 19162 - 121444 = 0, -102294 = -4*w - f. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 128930, 128928, 128926, 128924?\n\"Answer: -2*z + 128932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -90 - (49 - 123) - 27.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (-27*r - 37*r - 204*r + r)*(4*r + 0*r - 3*r + 2 - 2 + 5*r + (-2*r + 3*r - 3*r)*(-4 + 0 + 3)) in the form x + w*r + k*r**2 and give k.\nAnswer: -2136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 - 2220?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 8790*v - 50953 = 73548 - 27811 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 11966 = -4*p, -2*t + 7*t = -5. Suppose 47*g - 51*g = -p. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -50 divided by 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6705185827 to the nearest integer?\nAnswer: 1886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -33, -60, -105, -168?\n\"Answer: -9*z**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4750 is divided by 365.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6 and (2\/(-1))\/(-3 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that -6\/11*c**3 + 2\/11*c**4 + 6\/11*c**2 + 0 - 2\/11*c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -636204 + 636250.0913. Let c = x - -0.0087. What is c rounded to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 184, 178, 170, 160, 148, 134, 118?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 11cb7 - -d32?\nAnswer: 12c09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 31875 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2782*i*z + i + 4053*z wrt i.\nAnswer: 2782*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 43 and 391.\nAnswer: 16813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -15*o + 3 - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -3*t**2 + 2. Let f(g) = g**3 - 2 - 10*g**2 + 4 + 5. Let j = 114 + -116. Give j*f(b) + 7*z(b).\nAnswer: -2*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5 and 53\/4473?\nAnswer: 4473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve w = -4*g - 11 + 2, -5*w - 28 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4b + -d2a?\nAnswer: -d76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 130 divide 4810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:55 PM and 3:24 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 126510289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6735, 27067, 60959, 108417, 169447, 244055?\nAnswer: 332247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 462041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*v = -264344 + 995378. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor b**3\/7 - 38*b**2\/7 + 69*b\/7 + 108\/7.\nAnswer: (b - 36)*(b - 3)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -5*b - 1. Let l be u(-3). What is the remainder when (-4)\/(-2) - (-2 - l) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/(-60)*-5*-2*1\/(-7)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 75899624 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: (-16283)\/3428*(-44)\/38*(-1)\/(-143)\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 3*u = 5, 5*p + 15 = -5*u - 0*u. Suppose -8 = -5*o + 2*y + 2*y, -4*o = -3*y - 6. Sort p, 1, o.\nAnswer: p, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -39 - 1?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 47346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.04 and -342971725.409.\nAnswer: -342971725.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 2053510 (base 6) to base 15.\nAnswer: 1ec36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 1041.818l to millilitres.\nAnswer: 1041818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 224 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*u - 14136 + 400 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1420 + -1419.84. What is the third biggest value in q, -2\/17, 4\/9?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 13 + 12 - 13 - (55 - 91).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the second derivative of k**4\/12 + k**3\/6 + 2*k**2 + 4*k. Suppose -r + 0*r = 3. Determine q(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -16300 - -16300.762. Round n to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 22.326552 months?\nAnswer: 0.1860546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2010211212 (base 3) in base 14?\nAnswer: 11522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k**3 - 4*k**2 - 7*k - 3. Let w be h(5). Let t(n) = -21*n + 37. Let r be t(w). Let u = -104 + r. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t = 9*t - 30. Let m = t + -8. What is the derivative of -2*h + h + h + 4 - h**m wrt h?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -170 - -1192\/7. Let h = 13 - 18. Let s = 15 - 14. What is the closest to t in s, 4, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-25 - 26 + 2*t + 43)*(1 - 5 + 3).\nAnswer: -2*t + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 3*n + n = -259, 5*m - 427 = -n. What is the common denominator of m\/36 + 2\/(-8) and -46?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 69*n**3 + 10488*n**2 + 17*n + 2583. Determine c(-152).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from sedjsdedlesmees.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3 - 4323136?\nAnswer: -4323133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t be (2 - -2) + -1 - -67. Suppose -8*o + t = -o. Let d = 9 + 16. Calculate the greatest common divisor of o and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/66902980 and -34\/3403.\nAnswer: 66902980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, x: 2, y: 4}. Give prob of picking 1 d and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 24896434 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = -14 + 16. Solve -7*g = -t*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5 - 0. Let r(l) = 14*l**2 - 12*l**2 + 93*l - 55*l - 13 - 46*l. What are the prime factors of r(p)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 2*j - j. Let x be 2\/j + 2152\/40. Suppose 27 = 5*m - 4*q - 41, -5*m + x = 3*q. What is the highest common factor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 187*g + 45*g - 615 = 380*g - 7571 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 96 - 52. Let p = w - 40. Let z be (-34*3\/(-12))\/((-7)\/(-14)). Solve -p*h + z = 3*d, -4*d = 5*h - 15 - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 - 2 - 3)*(-1 + 0 - 1) - 3 + 1 + 3)*(-2*m**2 + 2*m**4 + 2*m**2).\nAnswer: 30*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**2 + 6*n - 5. Give k(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 11*z + 24. Does 33 divide u(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1 - 1*(0 - -4). Let u(r) = -r**2 - 6*r. Let y be u(d). Suppose -y*z + 19 = -6. Solve -z = 3*t - 14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.774316603 rounded to two decimal places?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 65340 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 71\/3 and 173\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 135 minutes before 11:32 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -2*n + 1. Suppose -4*j - 4 + 0 = 0. Let o be s(j). Let m be 3 + 0 - (-2 + o). Solve -4*b = 3*w - 18, m*b = -3*w + 4*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -d**2 - 8*d - 4. Let s be g(-3). Let u = 236 - 159. Calculate the highest common divisor of s and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 473*t**4 + 3*t**3 - 86*t - 3. Let b(z) = -z**4 + z**3 - z - 1. Let q(j) = 3*b(j) - x(j). Find the second derivative of q(l) wrt l.\nAnswer: -5712*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f and 2 x when four letters picked without replacement from {f: 8, x: 4, q: 5}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o - 2*o = 5*f - 58, 5*o + 4*f - 128 = 0. Suppose 5*d + 70 = 2*t + 3*t, -o = -t - 4*d. Calculate the greatest common factor of t and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -3*(4\/12 + -1). Suppose -o*d - 4 - 34 = 0. Let v(g) = 2*g + 58. Is v(d) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*q**3 + 2*q + 4*q**3 - 2*q - 5*q**4 - 1 to k*q + c + m*q**3 + j*q**4 + r*q**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3.95 + -0.05. Let n = 5 + z. Let f = -26\/77 + 4\/77. Which is the second smallest value? (a) n (b) f (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 5*r - 1. Suppose 0 = 3*k + 5*k + 112. Let f be 2*21\/k*(-2)\/(-6). Calculate w(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) be the first derivative of 7*u**2\/2 - 22*u + 574. What is b(10)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 + -1. Let i(m) = 3*m - 1 + 5 - 2*m - y. Calculate i(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 4, g: 14}. What is prob of picking 1 a and 1 g?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5753742 is divided by 719217?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 3*z - 3*z + 3*z**3 + (-14*z**3 + 2*z**3 + 0*z**3)*(4 - 9 - 4) + z**2 - 2*z**3 - z**2 in the form h + y*z**3 + f*z + k*z**2 and give y.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -2*b**2 + 23*b - 2. Give v(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -271456.\nAnswer: 5\/271456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = 276.9 + -237. Let v = u + -40. Sort -1\/3, v, 13.\nAnswer: -1\/3, v, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 2 t when four letters picked without replacement from {k: 11, t: 3}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1 and (3 + 52\/(-8))*-4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2582 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 17330 or 17233?\nAnswer: 17330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = -5*b + 12. What is the tens digit of (-4 + b + -1)*-26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3699?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 86.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 699618788 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**13\/x**(-15)*(x\/x**(-1\/2)*x)**(-15) assuming x is positive.\nAnswer: x**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from knkcncuu. Give prob of sequence kucn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 21*v**3 - 3*v**2 + 6*v - 2. Calculate s(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -270*i + 1081*i + 117*i to a*i + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*s - 8*s + 63 = 0. Let k = -21 - s. Solve k = -2*h + 4 + 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -11*v**2. Let h be (3440\/(-42))\/(-20) + 6\/(-63). Let l(z) be the third derivative of 0*z + 0 + 11*z**2 + 0*z**3 - 1\/24*z**h. Determine l(o(j)).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is (253\/(-22) + 10)*23673882\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1, 15, 1137, -3, -0.1, -8?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 307, 1263, 2861, 5107, 8007, 11567, 15793, 20691?\nAnswer: 26267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -5*u**3 - 4*u**2 - 20*u - 101. Determine y(-4).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l = -5*x - 23, -40*l + 4*x + 34 = -35*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the third derivative of 1\/12*h**4 + 0*h + 66*h**2 + 0*h**3 + 0. Let q(g) = -4*g - 2*g - 8*g. Determine x(q(b)).\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = -4*k + 50, -30 - 4 = -2*d + 4*k. Let f be 84*((8\/36 - 0) + (-182)\/(-72)). What is the highest common divisor of f and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/156 - 135\/(-65).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -8209, -33845, -76905, -137389?\n\"Answer: -8712*g**2 + 500*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = -3*b + 50 + 46, -4*b + 122 = h. Let d(v) = -v**2 + 24*v + 31. Let f be d(22). What is the greatest common factor of b and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/(-18))\/((-139)\/(-6255)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 18224\/952 + 5\/(-35)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p and 1 z when three letters picked without replacement from plppppazlpupzll?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(1\/33)\/w**(-2\/39)*(w\/(w*w**(3\/5)*w)*w*w)**(10\/13) assuming w is positive.\nAnswer: w**(167\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:43 AM and 1:29 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9 + -14. Let y(z) = z**2 + 5*z + 4. What is the least common multiple of y(f) and -1 - 3 - -10 - 1*-1?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 + 22 = 5*l + 3*x, -41 = -4*l + 5*x. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor x**5\/3 - 2*x**3 - 8*x**2\/3 - x.\nAnswer: x*(x - 3)*(x + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**3 + 2 - 2 - 4*d - 1 - 2. Let x = -864 - -861. Determine a(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/6314 and 54\/300817?\nAnswer: 4211438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the third derivative of -30*t**3 + 0 + 1\/12*t**5 - 10\/3*t**4 + 0*t - 55*t**2. Factor a(x).\nAnswer: 5*(x - 18)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 11*i**3 - 304*i**2 + 7*i + 16. Let l(d) = 6*d**3 - 153*d**2 + 3*d + 6. Give 2*a(p) - 5*l(p).\nAnswer: -8*p**3 + 157*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 902, 1649, 2386, 3107, 3806, 4477?\nAnswer: 5114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k + 4*k. Solve s + 0*s = k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**2 - s + 7. Let o be r(0). Let v = o + -7. Differentiate v*a + 1 + a + 2*a + 0*a wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -102*y - 4546 = 97*y + 628 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (4*n - 2*n + 0*n)*(128 - 128 + 33*n**2) + n**3 - 3*n**3 + 0*n**3 as r*n**2 + a*n + y + b*n**3 and give b.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -64\/189 and -4\/21?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11688, -23360, -35034, -46710, -58388, -70068, -81750?\nAnswer: -93434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 10 = -53. Calculate the remainder when 104 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6 + 38. Let n = 0.82 + 33.18. Let k = n - i. Which is the smallest value? (a) -3\/7 (b) -2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6 + -1 - 6 - 3. Let s be t + 5\/(-5) - -9. Solve -c + s = -1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-190)\/(-8) + 15\/(-20) + 0. Let j = -20 + m. Solve j*p + p = 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 1423070.4 months?\nAnswer: 1185.892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from oyooyyyy. Give prob of picking 2 y and 2 o.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*y - y + y)*((3 + y**2 - 3)*(3*y + 4*y - 5*y) - 3*y**3 + 4*y**3 - 5*y**3).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 6 - b7a?\nAnswer: -b74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -4*l - 4*z, 4*l - 3*z - 34 = -z. Suppose -3*g = -l*g + 6. Let r(f) = 4*f - 4*f - g*f. Let m(v) = -2*v**2. Give m(r(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4353 - 3?\nAnswer: -4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-8)\/12*(-3)\/2. Let j(t) = 3*t**2 + t. Let i be j(m). Let v(k) = -k**3 + 6*k**2 - 5*k + 5. Calculate the remainder when 32 is divided by v(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 307*f - 192. List the prime factors of d(6).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -68*o + 10*o + 54*o. Let q(p) = 2*p. Determine z(q(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 24 + -20. Suppose 0 = -5*s + 2*o + 131, -5*s - q*o + 11 = -102. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 2*g + 4 = 0, 8 = 5*d + 5*g + 3. Suppose 433350 = 410*c - 419*c. Let k be (12\/d)\/((-9)\/c). What is k rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -0.07, 43, 0.3, 10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b be 136\/40 - 2\/5. What is the third derivative of -85*r**b - 5*r**5 - r**2 + 0*r**2 + 85*r**3 wrt r?\nAnswer: -300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1103 - 1103 + 441*q)*(0*q**2 + q**2 + 0*q**2)*(0 - 3 + 1).\nAnswer: -882*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-12)\/(-15))\/((-95)\/(-475)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 47 divide 80526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2212 + -22010020102111?\nAnswer: -22010020022122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-59)\/2)\/((-26)\/260)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 * 241.6.\nAnswer: -1208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4309 divided by 5.\nAnswer: 4309\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/77 in 0.002, 3, -183, 5?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from {c: 1, p: 1, e: 1, z: 2, o: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -6 * 0.26.\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = -80 + 324. Does 51 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = z**3 - 2*z**2 + z - 2. Let q be y(2). Let x = q - -2. Suppose x*w = -4*c, 2*c - 5*c - w + 1 = 0. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -5*m - 2. Let g be b(-12). Let r(h) = -20*h + 3 + 3 + g*h + 83*h. What is the units digit of r(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -51362957 + 34662957. Round x to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 243*q = 239*q - 48. Suppose 2*a + 34 = -2*j, -j + 2 = -2*j + 4*a. Which is greater: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*j**2 + 13 + 9 + 6*j + 15 - 4.\nAnswer: 15*j**2 + 6*j + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1\/81 - 68\/1053. Which is the closest to t? (a) 0.2 (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 15\/(-25) - 46\/(-10). Suppose -v*n + 31 = 19. Solve -2*f + n*t + 3 = -f, 5*t = -5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w, 1 l, 1 a, and 1 d when four letters picked without replacement from {w: 4, k: 1, a: 7, d: 1, l: 3}?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) 0.073 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 5*u**2 - 1999*u. Let t(m) = 2*m. Determine l(t(g)).\nAnswer: 20*g**2 - 3998*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -2*t + 1. Let u be q(0). Let j be (u + -4)*(9 - 10). Solve 0*m = j*m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1\/5))**(-3\/4)\/((k*k**(-2\/27))\/(k*k*k**4*k*k)) assuming k is positive.\nAnswer: k**(3901\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5931.34 + 5932.34. Let w be 2*(-1 + (-19)\/(-18)). Let h = 0.3 + -0.6. Which is the nearest to h? (a) f (b) w (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1630, 13008, 43882, 104002, 203118?\n\"Answer: 1625*a**3 - 2*a**2 + 9*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*f - 5*f + 5*f)*(2*f**3 + 4*f**2 - 2*f**2 - 3*f**3).\nAnswer: -7*f**4 + 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*i - 191 = -65. Solve 0 = i*g + 21 - 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/(-2 - 3\/(-2))*1. Let p be 12\/(i\/1)*10. Find the common denominator of 106*((-1)\/7)\/(p\/35) and -113\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q - 5*q - t + 5, -q - 5*t = -16. Let r = -1.5169 - -1.3169. Which is the third biggest value? (a) -0.1 (b) q (c) r (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ww when two letters picked without replacement from jjjwwzvzv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8329 - 8310. Suppose 0 = -2*n + 6 + 18. What is the remainder when h is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0006434486 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffpiipnff. Give prob of picking 2 p and 1 n.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 29642?\nAnswer: 2, 14821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 173 divide 369263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 178 - 126. Let n = 54 - t. Suppose 0*q + n*q + 28 = 5*k, -k + q + 8 = 0. Sort -4, 2, -1, k in decreasing order.\nAnswer: k, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 21 = -3*c - 3*y, -y = -2*c - 2 - 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) 0.5 (c) 3 (d) -0.4 (e) 461 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w*w*w\/((w\/(w*w**(2\/3)*w))\/w)))\/(w\/w**(4\/5)))**(-14\/5) assuming w is positive.\nAnswer: w**(1022\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -112*q - 32. Let p be v(4). What is the hundreds digit of -14*19\/(532\/p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 41131860 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve c + 75 = 78, -c - 3*c + 2 = -2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.05356622 and -3.739.\nAnswer: -3.68543378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -76, -82, -100, -136, -196?\n\"Answer: -c**3 + c - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -645, -1310, -1973, -2634?\nAnswer: -3293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 154 - 154. Let j = 29 + -14. Solve 3*b + s = -j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1046 divided by -146\nAnswer: 523\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 6*p - 15. Let j be t(3). Let i(y) = y + 6*y**2 + 22*y**3 + j*y + 5 - 21*y**3. What is i(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**2 - 3*s - 1. Determine t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v + 7 = c, -2*v - 5*c = 20 + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 17561, 17560, 17559, 17558, 17557?\n\"Answer: -k + 17562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -23 - -17 - (1 + 1 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 39308 - 39286. Let f(b) = -b**2 + 6*b + 2. What is the remainder when g is divided by f(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 - 775 = -3*t. Suppose 73*l - t = 68*l. Let f = l + -39. Calculate the smallest common multiple of 3 and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-1\/3))**49*(v**0)**(-12) assuming v is positive.\nAnswer: v**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 259.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 40a564 (base 16) to base 12\nAnswer: 1503918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4214 - -16957\/4. Find the common denominator of u and 1\/(22\/(-4)) - (-144)\/(-3564).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 259 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -277.501711 rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/(4\/(-12)*2). What is the units digit of ((-3 - -81)\/r)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4018.316 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 0*x**2 + 0*x**2 + 2*x - 1 - x**2. Let l be i(1). Suppose -4*g + 5 + 3 = l. Which is smaller: 3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/5*j**2 - 2\/5 - 1\/5*j.\nAnswer: (j - 2)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3a (base 12) in base 6?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (42\/(-45))\/(5299\/49962). Suppose -a - l = 4, 0 = 2*a - 3*l - 0*l + 28. Which is greater: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -2*n - 4*v, -7*n - v - 117 = -11*n. Solve -n*s + 47*s + 152 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + 46528?\nAnswer: 46532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -3918019 bigger than -3918019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = l - 4. Suppose 0*b + 80 = l*b. Is b a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x**(-6)\/x))\/x**(-1) assuming x is positive.\nAnswer: x**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 28454645 to the nearest integer?\nAnswer: 5334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (2583 - 984 - 1113)*(-2*r + 2*r - 5*r - r**2).\nAnswer: -486*r**2 - 2430*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 12360826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 341 and 12431000.\nAnswer: 136741000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 635*x**4 + 4*x**2 - 756*x**3 + 212*x + 2980*x**4 + 756*x**3 wrt x?\nAnswer: 86760*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1100001001000111 - -10001?\nAnswer: 1100001001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -0*a + 52. Let r be (-21 - -7) + (-3 - -21). Put a, 3, r in ascending order.\nAnswer: a, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Let m = -1146 - -531. Let w = m - -617. What is the second biggest value in w, -0.2, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01 times 17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -390*x. Let m(f) = -137716*f + 4. Give t(m(i)).\nAnswer: 53709240*i - 1560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -29 + 112 + 34 + -180.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*g**2 - 7*g**3 + 4*g**3 - 4*g**2 - 631*g**3 + 1141 + 565 wrt g.\nAnswer: -1902*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1\/2 - (-3)\/(-6). Suppose -2*d + 8 = m, -17 = 3*r - 2*d - 216. Let v = -863 + 909. Calculate the greatest common factor of r and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 4*i + 19 = 0, -5*o - 6*i + 8*i + 17 = 0. What is the third derivative of 3*x**2 - 5*x**2 + 49*x**o - 3*x**2 + x**3 + 6*x wrt x?\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 15*y + 83 - 38 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ololttalzl. Give prob of sequence ltot.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*m**3 - 3*m**3 - 4*m**2 + 2*m**2)*(-19 + 19 - 10*m).\nAnswer: 10*m**4 + 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -63 - -58?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 41 = -3*c - 108, 0 = 2*f - c - 129. Do 66 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 1240, 1504, 1768?\n\"Answer: 264*u + 976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 18.9 + -376513102\nAnswer: -376513083.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**2 - 2*k - 1. Let h be u(-2). Is (6\/2)\/(6\/(-152)*h) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the first derivative of -w**2 - 1. Let y(l) = -25*l - 8. Let x(b) = -24*b - 6. Let q(f) = -5*x(f) + 4*y(f). Calculate p(q(t)).\nAnswer: -40*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -220211121 + -110220?\nAnswer: -221022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 372265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 6, 69, -4, -1851, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 7143433 - 4.\nAnswer: 7143429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) be the third derivative of -3*q**2 + 0 - 1\/240*q**5 - 1\/48*q**4 + 1\/8*q**3 + 0*q. Factor b(t).\nAnswer: -(t - 1)*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2396 is divided by 109.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 165 + -23. Let y = -706\/5 + z. What is the nearest to -1\/2 in -0.5, -5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 568\/9 + 10\/9*i**2 - 1424\/9*i.\nAnswer: 2*(i - 142)*(5*i - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*f**2 + 493131*f - 493131*f + 2068 - 2068.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from kxkx.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 0*l - 264 = 0. What is the remainder when l is divided by (-30*12\/(-168))\/((-2)\/(-42))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:07 AM and 10:45 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -27*k + 4*k**2 + 27*k + (-5 + 5 + k)*(4*k - 3*k + k) - 251*k**2 + 518*k**2 + 528*k**2 - k**2 + 2*k**2 - 3*k**2 in the form p*k**2 + i + t*k and give p.\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 326784 by 14208.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 2650.641 months to centuries.\nAnswer: 2.2088675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + (7 - -1) + -35 + (4 + 8 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**14\/(h\/h**16) assuming h is positive.\nAnswer: h**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 2*i - i + 5*i)*(3 + 2 - 4)*(i**4 - 4*i**3 + 4*i**3).\nAnswer: 2*i**5 - 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 657 minutes before 9:17 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 25 in -1\/6, 0.7, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -9*d - 3. Calculate o(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 176.48 + 629.74. Round q to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 443, 1780, 4023, 7184, 11275?\n\"Answer: 2*m**3 + 441*m**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 16763, 2, 8 in decreasing order.\nAnswer: 16763, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -141 + 1?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 149047860413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 347420334.\nAnswer: 2, 3, 47, 1231987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from azzdaodzbjbzzzazb. Give prob of sequence aa.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37831 is divided by 1576.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 10011100001100010 (base 2) to base 9\nAnswer: 131625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 83*l = 84*l - 4*q - 20, 25 = 3*l - 5*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kykhhhhk. What is prob of picking 1 y and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 56 divide 20543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -102.26915 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -v + 23. Let w(k) = -k + 12. Let b be w(-8). Suppose 2*y - 3*r - b = 0, -2*y - 5*r = y - 30. Calculate the remainder when 23 is divided by o(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k + 2*k - 292. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p**3 - 6*p**2 + 1799*p + 15944. Calculate f(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -6*g + 42. Give x(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 97\/208440 and 91\/2657610.\nAnswer: 10630440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -41899410 divided by -47505?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) be the third derivative of 0*q**4 + 0 - 1\/10*q**5 + 0*q + 2*q**2 + 0*q**3. Let r(g) = 2*g**2. Give f(r(w)).\nAnswer: -24*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*o**4 + 77139*o**3 - 5917565?\nAnswer: 12*o**3 + 231417*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 19016\/5 - 3673. Does w = 131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4580520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 14? (a) 1 (b) -6 (c) -0.45 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -36*f. Let u(l) = 7*l. Let y(i) = i**3 - 7*i**2 - 4. Let w be y(7). Let b(o) = w*v(o) - 21*u(o). Let k(r) = -2*r. Give k(b(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c - 38*n - 43*n + 64 = -83*n, -3*n + 24 = -2*c for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(99) + 0 + -1) + (sqrt(176)*-2 - sqrt(176)) + -1 + -5)**2.\nAnswer: 96*sqrt(11) + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 11\/36 or -39?\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in twenty-one quarters of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/(660\/16))\/(8\/(-20)*-1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1589 - 918. Let i = f + -334. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 23376832 and -9?\nAnswer: -210391488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i\/i**(-6))\/(i*i*i\/i**(2\/9)))\/(i**(1\/9))**(-4\/17))**(-9\/7) assuming i is positive.\nAnswer: i**(-650\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**3 - 43*y**2 - 1345*y - 95. Calculate h(-21).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.21 times -42?\nAnswer: 8.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:24 PM and 8:24 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -82*k - 85 = -172*k + 73*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (63*b**4 - 487*b**4 + 178*b**4)*(7*b - 3*b - 3 + 2).\nAnswer: -984*b**5 + 246*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be (36\/21)\/(4 + 0 + -1). Put -2\/17, r, -9 in ascending order.\nAnswer: -9, -2\/17, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-2\/7))**(2\/57))**(-2\/33)*(o**(-1)\/o)**34\/(o\/((o\/o**(-2\/5))\/o)*o\/(o*o\/(o\/(o*o*o**2*o)))) assuming o is positive.\nAnswer: o**(-4187066\/65835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1150986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 - -55?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2\/1)\/(44\/(-1958)). Let y = -85 - m. Solve 0 = -w + y - 3, 0 = -3*f + w - 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mv when two letters picked without replacement from umyyulv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -66. Let y(s) = s + 1204. Calculate -g(h) - y(h).\nAnswer: -h - 1138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.03 and 192200?\nAnswer: -5766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.4, 3\/4, -0.03, 1\/21, -0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 53139.\nAnswer: 3, 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2006*h + 2005*h - 4*x = -573405, 0 = 3*h - 2*x - 1720327. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 644.1552 milliseconds to nanoseconds.\nAnswer: 644155200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 51.54 to the nearest integer.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 6 - -64?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1020 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k**3 - 18*k**2 - 20*k + 17. Let n be m(19). Let c be n\/(-14) + (-7)\/(-637). What is the biggest value in -0.3, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 450 divided by -3\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - (-8 - (-10 + 6)) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 190344462?\nAnswer: 2, 3, 7, 11, 412001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 6743*t - 15346?\nAnswer: 6743","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 356*f - 6054 = 15662 for f.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1242620658 to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -67*n**2 - 1259*n + 294. Give c(-19).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -19*b - 7. Let z be c(9). Suppose 0*h - h + 284 = 0. Let q = h + z. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 75922 and 42608511?\nAnswer: 596519154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 3, x: 3}. Give prob of picking 1 x and 3 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-158*k + 6*k**2 + 158*k)*(6*k**3 - 5*k**3 + 0*k**3)*(-4 + 3 - 1).\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -10 (b) 1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 22, 26, 32, 40, 50?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uuue when four letters picked without replacement from uujueee?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 9130782 smaller than 9130772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 7672.573 days in microseconds?\nAnswer: 662910307200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 107, 83, 29, -67, -217, -433?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1634 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 137747587394 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5554*l**4 - 2983*l**4 - 3009*l**4)*(7 - 1 - 4) - l**4 + 0*l**4 + 0*l**4 to the form h*l**4 + u*l**3 + s*l**2 + d + v*l and give h.\nAnswer: -877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 199200?\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-819)\/(-441) + (-1)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (92\/(-3))\/1*(-2 - 1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 5}. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -8398468, -16796938, -25195408?\n\"Answer: -8398470*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -51*k**3 - 606*k**2 - 604*k**2 + 157*k**3 - 56*k**3 - 53*k**3 - 6*k**2.\nAnswer: -3*k**3 - 1216*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -11*u. Let g(h) = 16*h - 39*h + 46*h. What is q(g(s))?\nAnswer: -253*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -117*u - 4. Is n(-25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -109*q - 2566 = -3220 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4090 = 226*r + 270 - 22. Solve 6*o + 55 = r*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43.276671us in hours?\nAnswer: 0.0000000120212975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 2*w + 9 - 6 - 4*w**2 + 6*w + 3*w**2. Give k(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -283*q**2 - 7*q - 7. Let z be f(-1). Let m = 408 + z. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z + n = 8, 5*n - 3 = -2*z - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -6*o. Let z(f) = -f**2 + 0*f**2 - 19 + f + 17. Let v be z(0). Give j(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1341*b**2 + 2333*b**2 - 2330*b**2 in the form i*b**2 + d*b + a and give i.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h\/(h\/h**(-5))*h)\/h**18)\/(h\/((h\/h**7)\/h*h*h))**(22\/5))**30 assuming h is positive.\nAnswer: h**(-1452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -21 - -27. Let u be (2 + 3*z\/(-27))*18. Calculate the greatest common divisor of 216 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 81*n**3 + 10*n**2 - 30*n + 1. What is the hundreds digit of c(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 3 t when four letters picked without replacement from jtvjvtvt?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 2659*p + 30956 + 4883 = 3931 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 2 = -4*d - 0, 19 = -2*d - 5*t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -11 (base 2) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -22331243 (base 5) to base 4\nAnswer: -300210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = 3*n - 3*r - 427, 4*n - 1698 = 2*r. Let k = -282 + n. List the prime factors of k.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 470 minutes before 12:29 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1419 is divided by 75.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:46 AM and 9:58 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -3*x, -l - 4*x = -5*l - 4. Suppose 3*o = g + 210, -o = -l*o - 2*g + 77. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3587.\nAnswer: 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1 - 112246754?\nAnswer: -112246753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out 569.1 * 0.003.\nAnswer: 1.7073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j + 19 = -17707*r + 17710*r, j + 14*r - 72 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 56 + 10?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(-3) - (-10)\/6. Let o(z) = -z**2 + 18*z + 5. Let i be o(18). Sort n, 0, i in decreasing order.\nAnswer: i, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.17? (a) -3 (b) -7 (c) -0.032 (d) -0.3 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 118031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2078029, -2077741, -2077453, -2077165, -2076877, -2076589?\n\"Answer: 288*m - 2078317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -183352\/26613 - -2\/2957. Calculate the common denominator of 31\/57 and s.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**2 - 2*f + 2. Let c(i) = 6*i**2 + 10*i - 11. What is 4*c(m) + 22*n(m)?\nAnswer: 2*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1.17 (b) 23\/4 (c) -0.5 (d) -0.4 (e) -4\/9 (f) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - 3) + 4 - (4 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 94988389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:05 PM and 8:33 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from affffrafafraftfrff. Give prob of picking 2 f, 1 a, and 1 t.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(133)*-5)\/((sqrt(63)*-5)\/sqrt(9)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -54, 0.3, -4, -1722, -5, 5?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0 - 3 - 7\/(-1)*1. Suppose 5 = o + w. Suppose -5*i + 4*l + 8 + o = 0, 3*i = -3*l. Calculate the least common multiple of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.34 + 0.67. Round z to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 123.9044 meters in millimeters?\nAnswer: 123904.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1.6? (a) 12 (b) 16 (c) -7 (d) 0.03 (e) 2\/5 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 169194349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*-1*(2*(2 + 2*sqrt(931)))**2*1.\nAnswer: -44736 - 672*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -250 + 245 - (-1 - 10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 15824 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -22*j + 1746. What is the units digit of l(64)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -v**3 - 3*v**2 - 3*v + 4. Let u be 1*(2 - -1*2). Let q(x) = x**2 - 6*x + 5. Let r be q(u). What are the prime factors of m(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*f + 2*f - 3*f - 2*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -1114 (base 8) in base 10?\nAnswer: -588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = k**2. Let h(i) = -759*i + 4. Calculate v(h(s)).\nAnswer: 576081*s**2 - 6072*s + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.074 + 8.474. Let c = b - 8. Suppose 3*t + 3*k = -2*k - 8, 2*t = 5*k + 3. Sort 5, t, c in decreasing order.\nAnswer: 5, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*i**2 - 6*i**2 + i**2 + 11*i**2 - 405*i to b + a*i + o*i**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2435725 and 310?\nAnswer: 151014950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 152 divided by 5.\nAnswer: 152\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the third derivative of -3\/4*i**3 + 0 + 0*i - 1\/8*i**5 - 7\/16*i**4 - 1\/80*i**6 - 24*i**2. Let p(d) = 0. Calculate d.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 116724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 13027631 and 1091.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5\/(-15)*-579*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the third derivative of 3*u**5\/20 + 5*u**4\/12 - 4*u**3\/3 - 7*u**2. Let v be c(8). Calculate the lowest common multiple of 10 and (2\/(-4))\/((-27)\/v).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 215315 by -1009.\nAnswer: -215315\/1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*g - 23*g = 65. Suppose 1086*v + 294 = 1092*v. Calculate the remainder when v is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gshpfppfgshpsgfhhhs. Give prob of picking 2 h and 2 p.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 21*u = 19*u - 40, -f - 15 = -2*u. Let s(x) be the third derivative of -x**5\/60 - 5*x**4\/8 + 5*x**3\/3 - x**2. What are the prime factors of s(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 106\/1089 + 42\/121. Which is the nearest to -1? (a) 1\/3 (b) x (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -1026, -3188, -6490, -10932, -16514, -23236?\n\"Answer: -570*m**2 - 452*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000112144 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2\/53 or 982031?\nAnswer: 982031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -1 + -15 + (30 - (-1 + 13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from {b: 1, l: 1, t: 2, o: 2, q: 4, n: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**3 + 5*o**2 - 2*o + 2. List the prime factors of x(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the third derivative of 1\/56*i**4 - i**2 + 3\/140*i**5 + 0*i + 0*i**3 + 0 + 1\/490*i**7 + 3\/280*i**6. What is a in z(a) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -35529 - -51230. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -177, -189, -201, -213, -225, -237?\n\"Answer: -12*o - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p + 1. Let h be x(-5). Suppose -h*l + 62 - 20 = 0. Let j(a) = 4*a**2 + a - 3. Let z be j(1). Solve l*y - 3*y = -4, 0 = c + z*y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01755 to 4 decimal places.\nAnswer: 0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -231*t + 693. Let i be p(3). Let v = -26 - 15. Which is the fourth smallest value? (a) 0.5 (b) i (c) v (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*v**4 + 5*v**2 + 12*v**2 - 27*v**2)*(3 + 0 + 0) to the form r*v**3 + x*v**4 + m*v + t*v**2 + b and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0001958059 to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 168, -16461 in decreasing order.\nAnswer: 168, -5, -16461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*k = -5*k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 12794520 at least as big as 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 7 = 2. Let l be (-8)\/12*r*1. Suppose -48 = -u - 5*g, -4*u + l*g + 46 = -102. What is the greatest common divisor of 57 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 15732*i**3 + 15960. Let b(h) = 456*h**3 + 462. Calculate -380*b(l) + 11*f(l).\nAnswer: -228*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -55\/20028 and -131\/120.\nAnswer: 200280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*z + 273 = 134*z. Factor 14*p + 2\/3*p**z + 12 + 16\/3*p**2.\nAnswer: 2*(p + 2)*(p + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 661626510 and 2823?\nAnswer: 2823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -12*d**2. Let j(q) = 90*q - 42. Give j(g(k)).\nAnswer: -1080*k**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1647, 1645, 1643, 1635, 1615, 1577, 1515, 1423?\n\"Answer: -q**3 + 6*q**2 - 13*q + 1655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -46945*i**3 + 46941*i**3 + 233810*i**2 - 233810*i**2.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1099\/4668 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:07 PM and 3:53 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 59 - -21. Suppose h - 28 = 5*t, 5*h - 106 = 2*t + r. Is 28 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 608984 to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 2*o = -22, g = -2*o + 56 - 58. Solve -5*s + 3*c + 8 = g, -s + 5*c = -14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 4310519981 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = 4*x - 108, 2*t = 3*x + 4*t - 58. Suppose -23*m - 22 = -25*m. What is the greatest common divisor of x and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by 32.\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5 + 5.1. Let w = 1.1 - u. Put -2\/9, -0.2, w in decreasing order.\nAnswer: w, -0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.269 - -7983?\nAnswer: 7982.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let 2*m**5\/7 - 26*m**3\/7 + 24*m**2\/7 = 0. What is m?\nAnswer: -4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*h + m - 41, -h - 10 = -m + 4*m. Suppose 5*l - 19 - 131 = 0. Let y = h + l. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2377.5 + 2377. Let i = -3 - -3.2. Which is the nearest to 4? (a) 3\/8 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -276228, -552455, -828682?\nAnswer: -1104909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**2 - 5*l + 1. Let b be t(-4). Suppose b*q - 32 = 3. Suppose -3 + q = z. Let o(c) = -c**2 + 4*c - 1. What is o(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00005635 to 6 dps.\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 8592135 take away 3977?\nAnswer: 8588158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-20)\/50 + (-576)\/585. Which is the second smallest value? (a) x (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 124 a factor of 9796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1 and -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -400 + 400.4. Let p = -4 - -3.9. Which is the nearest to -1? (a) p (b) r (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**2 + 92*s + 92. Give t(-91).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*f = 32*f + 286*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 540946033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 5*l = 65079, -5*m - 2*l = -5*l - 162688. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*a + 29877 = 9177. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qtcthncqntqhan. Give prob of sequence ahh.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -216*10368\nAnswer: -2239488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -171 (b) -2\/15 (c) -0.1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 554018833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 6489.05 millennia?\nAnswer: 648905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1740, -2676, -3614, -4554, -5496, -6440?\n\"Answer: -o**2 - 933*o - 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.1*-5.1256.\nAnswer: 5.63816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001023657441 to six decimal places.\nAnswer: -0.001024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 201440 (base 6) to base 14\nAnswer: 5b44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1639)\/44 - -46)\/(10\/(-56))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2 + 378\/(-70) + (-2)\/(-5). Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -147*a + 142*a = -15, 17 = o - 4*a. Calculate the remainder when 191 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1.179 in -5, -2\/3, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*z**2 - 65*z**3 + 2 + 81*z**3 + 2*z**2 + 2*z**2 to the form m*z**3 + t*z + n*z**2 + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.3 in -43\/7, 0.3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -140 + 450. Calculate the remainder when q is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 30 - 27. Calculate the highest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3938861?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 69*c - 196*c + 62*c + 1072*c**2 - 8408*c**3 + 68*c wrt c.\nAnswer: -50448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 2753*a - a**2 - 2753*a. Let y(p) = 1631*p**2. What is l(y(b))?\nAnswer: -2660161*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5\/126 in -3, -1\/3, -49\/2, 0.13, -1, -4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (2 - 1)\/(2\/10). Let h = -56 - -60. Which is the smallest value? (a) -3\/7 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 37*w + 1. Let h be z(2). Let o(y) = -y - 7. Let u be o(-7). Let b(x) = -7*x + 50. Let a be b(u). What is the greatest common factor of h and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.66184406 rounded to 1 dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 23928371?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2298079 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -18106.9501 to the nearest one hundred.\nAnswer: -18100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 50\/16899 at least as big as -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -403 + 408. Suppose g*d - 36265 = 4*o, 2*d + o = -3*d + 36240. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) -1\/5 (b) 3 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -602219*a**3 + 200743*a**3 + 200703*a**3 + 200700*a**3.\nAnswer: -73*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2792744 is divided by 930907?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out -7.5990268327084 - -0.2.\nAnswer: -7.3990268327084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/1 + 16 + -15. Suppose 5*w = g*r - 605, 0*w - 398 = -2*r - 2*w. Let s = -37 - -62. What is the highest common factor of s and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 12629 + -12629.001234. What is p rounded to five dps?\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9.2 - 5.2. What is the closest to 2 in -2, 3, -3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-410 - -358) + (1 - 17) + 23\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*s**2\/3 + 2726*s + 3498660.\nAnswer: -2*(s - 5115)*(s + 1026)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 2*v + 21. Let x be u(-12). Let s be -2*(20\/8 + x). Let n be ((-12)\/(-328) + 0)\/((-9)\/(-12)). Are n and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5 in -2\/65, -0.4, 2\/883, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 3339 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 prob of sequence qo when two letters picked without replacement from ofqarro.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 8, -3, -20, -43, -72, -107, -148?\n\"Answer: -3*s**2 - 2*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3*(-6)\/(-9) - (-2 - -2). Put -4, a, 4 in increasing order.\nAnswer: -4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 4, -0.1, 3\/20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 34\/102 - 7\/39\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 2*o**2. Let n(k) = -3*k + 6 - 3*k + 7*k. Let v be n(-4). Let y(u) = u - 4*u - 4*u + v*u. Determine y(w(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**11*t**(1\/23))\/(t*(t*(t**(2\/19)\/t*t)\/t)\/t*t*t*t**(-19)*t) assuming t is positive.\nAnswer: t**(11772\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.51269 and -549190.\nAnswer: -549189.48731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 61386 is divided by 61372?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -17, -2, 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -279702 divided by -139851\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = -56 + 52. Let z(f) = -67*f - 2. Let w(q) = 22*q + 1. Let r(s) = -7*w(s) - 2*z(s). Is r(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -23 - 40 + 61*r - 46 + 95 as s + u*r and give u.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = -j - 5*i, 4*j = 3*i + 7 - 2. Factor 0*n**2 + 0*n - 2\/9*n**3 + 0 + 0*n**4 + 2\/9*n**j.\nAnswer: 2*n**3*(n - 1)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6765517.1 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6851, -6776, -6687, -6584, -6467?\nAnswer: -6336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 106 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of k**4 - 1529*k**3 + 3*k**2 + 328479*k wrt k?\nAnswer: 12*k**2 - 9174*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -11056a (base 11) in base 12?\nAnswer: -86099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find j such that j**5 - 20*j**4 - 43*j**3 - 22*j**2 = 0.\nAnswer: -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -689 - -689.872. What is a rounded to 2 decimal places?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 79 + -79. Is b > -2\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (16\/(-4))\/8*-10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 23, -29, -179.6 in descending order.\nAnswer: 23, -29, -179.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 91.9 + -92. Let x = -1\/5 - -7\/10. Which is greater: x or z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6472 = 4938*b + 250304 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -27*i**2. Let x(r) = -1160*r. Determine p(x(o)).\nAnswer: -36331200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 735476617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -24 - 268?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 95.1, 1, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - ((23 - 24 - -5) + 6 + (1 - 69)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17529924?\nAnswer: 2, 3, 17, 85931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**(-5))\/(m\/m**7))**(4\/13)*((m**(-2)\/m*m)**(-49))**(-4\/11) assuming m is positive.\nAnswer: m**(-5008\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -304 divided by -4\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g. Let p(n) be the second derivative of -3*n**4\/4 + n**2 - 28*n. What is c(p(r))?\nAnswer: 9*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -19 + 20. Let n be (-2 - -2)\/(-1 - h). Suppose -2*y - 5*w + 14790 = n, y + 4*y - 36994 = -3*w. Round y to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 220 = -5*a, -4*a + z = a - 240. Let c = a - 45. Solve 5*g + 0 + 16 = -4*d, -c*g + 20 = -5*d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1621442566 to the power of 1\/2, to the nearest integer?\nAnswer: 40267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by 108?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*z**4 + 78*z**3 + 5*z.\nAnswer: 24*z**2 + 468*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9*x**3 - 28*x**2 + 28*x**2)*(-20 + 3 - 5 + (0 + 1 - 2)*(2 - 4 + 4)).\nAnswer: 216*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be 10\/(-65) - (-316)\/26. Let q be 4\/(-3)*-1250*n. Round q to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 15) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 3*w**4 - 141*w**3 + 1419*w**2 - 1011*w - 2574 = 0. What is w?\nAnswer: -1, 2, 13, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k**3\/9 + 104*k**2\/9 + 1562*k\/9 + 1820\/3 = 0. What is k?\nAnswer: -26, -21, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = 22 - 20. Let s(p) = 0*p**b + 15*p**2 - p**2. Let u(d) = -2*d. Determine s(u(g)).\nAnswer: 56*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/58647, 0.3, 91 in increasing order.\nAnswer: 2\/58647, 0.3, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 19401, 12845, 6289, -267, -6823, -13379?\nAnswer: -19935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = l. Let z be (-28 - -28) + -1 + 7 + 0. Suppose 0 = z*c - 769 + 127. Let q(i) = 1 - 1 - c*i + 70*i. What is m(q(n))?\nAnswer: -37*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -3 and -0.754.\nAnswer: 2.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -777687369494 + -2.7\nAnswer: -777687369496.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 5071615710 a multiple of 3766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n + 6 + 18. Suppose -q = -3 - 2. Suppose -12 = 2*g - q*g. Solve -g*z + 24 - n = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 810 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 169970 and 133.\nAnswer: 22606010","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {s: 2, e: 2, z: 1, a: 3, v: 4, w: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes before 4:44 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/11 + (-62)\/(-22). Suppose 2*o - w*o = -38. Suppose -d = d - o. What is the remainder when d is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 12*b**3 - b**2 - 690*b - 1379. What is i(-2)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 2\/9 (b) 0.2 (c) -4 (d) -1\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1862 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 364\/105013 or 0?\nAnswer: 364\/105013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2561, 2580, 2599, 2618, 2637?\nAnswer: 2656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.99995 - 1. Let m = 0.063 + -0.063. Let r = j - m. Round r to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 133, 285, 433, 577, 717, 853, 985?\n\"Answer: -2*p**2 + 158*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 7913408809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -274111 to the nearest 1000.\nAnswer: -274000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 244 and 36?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q**2 + 12*q + 716. Let u be l(32). What is the greatest common factor of u and 3477?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 2*g - 87 = 49, -3*g = h - 38. What is the highest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in 80, -135, 1265?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -478087024, -478087023, -478087022, -478087021, -478087020?\n\"Answer: j - 478087025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 36\/(-15)*(-84*20\/(-72))\/1\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001 take away 0.086?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - (2 + -13 + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 1220*x - 1207*x - 44057. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -21781 (c) 637\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 949, 3790, 8525, 15154?\nAnswer: 23677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(((j*j*(j\/(j*(j*(j**(-7)\/j*j)\/j*j)\/j))\/j)\/j)\/j))\/j*j**(2\/3)*(j\/(j\/(j**(1\/4)*j)*j))**(1\/14))\/((j**(2\/9))**(-8))**(-1\/5) assuming j is positive.\nAnswer: j**(-14291\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 11.4109 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 4091496, 8183231, 12274968, 16366707?\n\"Answer: c**2 + 4091732*c - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6\/2*-10 - -1. Let l(k) = 3*k + 11. Let j be l(-4). Is 2\/(-1) + (j - x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 11\/13, 5, -4, 1, 13, 7 in descending order.\nAnswer: 13, 7, 5, 1, 11\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 9*z**2. Let w(b) = 51*b - 689417. What is w(h(n))?\nAnswer: 459*n**2 - 689417","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6732 and 1244672.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 166 divide 1494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q - 2. Determine o(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6338?\nAnswer: 2, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wex when three letters picked without replacement from {x: 1, g: 1, k: 1, y: 2, e: 1, w: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 13295, 13286, 13287, 13304, 13343?\nAnswer: 13410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 41653.5 to the nearest 1000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/3 - ((-70030)\/1551 - -44).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b - 196*z = -201*z, -26 = -2*b - 4*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4802*h - 50 = -4804*h. Calculate the smallest common multiple of h and 135.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 384 times 1209.96\nAnswer: 464624.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2) - (sqrt(2) - (sqrt(54)\/sqrt(9))\/sqrt(3))) + -2)**2.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (115*p + 235*p + 56*p)*(5*p**2 + 0*p**2 - 2*p**2 + (4*p - 2*p - p)*(-4*p + 4*p - 2*p) - 3*p**2 + p - p) to h*p**3 + o*p**2 + f + m*p and give h.\nAnswer: -812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*d - 3*d + d)*(-15 - 3 - 34).\nAnswer: -52*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be -4*4\/(-8)*2. Suppose 3*s - w = -0*s + 672, 0 = d*s - 4*w - 904. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -20698033, -20698034, -20698035, -20698036?\n\"Answer: -i - 20698032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -105*r = 2784 + 1731 for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 4*y**3 + 3*y**2 - 5*y. Let u(d) = -2*d**3 - 2*d**2 + 3*d. Determine 3*p(r) + 5*u(r).\nAnswer: 2*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -133*i**2 - 102*i - 16. Let z(d) = -89*d**2 - 65*d - 10. Give 5*l(g) - 8*z(g).\nAnswer: 47*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-52)\/15 + (-92)\/69 - -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 72431015?\nAnswer: 5, 37, 391519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -322415 + -10?\nAnswer: -322425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = -159 - -215. Let j(a) = -a**3 + 12*a**2 - 10*a - 6. Let w be j(9). Let z = w - c. What are the prime factors of z?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (28 - 18) + (2 - 0) - -7\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from {p: 1, m: 2, r: 3, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48 - 27 = -3*s. Find the first derivative of s + 45*x + 43*x - 44*x wrt x.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -243775101 plus 1?\nAnswer: -243775100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 460 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 5*k**2 - 54*k - 38. Let f(g) = -3*g**2 + 28*g + 18. Let c(t) = 7*f(t) + 4*v(t). Give c(-20).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1136, -0.2, 3, -3\/442?\nAnswer: -3\/442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 1\/2123?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = -74 - -88. Let r be 7\/(v\/4)*(-2)\/8. Let p be (-3)\/(-7)*(0 + -1). Which is the closest to -0.2? (a) p (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -41*s**2 + 26*s - 11. Let t(j) = -8*j**2 + 5*j - 2. Let a(u) = 11*t(u) - 2*y(u). Find the second derivative of a(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 4*f - 2. Let o(w) be the second derivative of 5*w**3\/6 - w**2 - 54*w. Calculate 4*d(g) - 3*o(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*k**3 - 2*k**3 + 3*k**3 + (64*k - 58*k + 25*k)*(2*k**2 - 4*k**2 + 4*k**2).\nAnswer: 63*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = 42.9 + -42.82. Which is bigger: m or 0.073?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 10, 189, -88542 in increasing order.\nAnswer: -88542, 10, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4703 is divided by 266?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:11 AM and 1:30 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 2, j: 8}. Give prob of sequence jju.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(17) + -1 + -1 + sqrt(34)\/(1*sqrt(2)) + (sqrt(204) - (sqrt(204)*2*-4 + sqrt(204)))\/sqrt(12)*-5.\nAnswer: -38*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 502776 in -2\/3, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(12) + 4*sqrt(60)\/sqrt(5))\/(-6*sqrt(16)\/sqrt(4)).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z + 2*u = -3*u - 14, -5*z + 14 = -u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -4*z + 65. Calculate l(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = t - 2*t. Let p be (t - 2)*(-34)\/187. Let v = p + -116\/77. Which is bigger: v or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**(2\/39))\/(((a\/a**(-15))\/a)\/a)*a**(3\/11)*a**(3\/10)*a assuming a is positive.\nAnswer: a**(-48803\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from csckywu. Give prob of sequence ku.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 0*d = l - 9, -5*l + d + 18 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1552 or -1540?\nAnswer: -1552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -107*k + 1616 = 95*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 522 = -n - a, 0 = 2*n - 5*a - 348. Let p = -90 + n. Let y(h) = 9*h - 49. Let j be y(7). What is the greatest common factor of j and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**3 + 52*f**2 + 53*f + 110. Calculate c(-51).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = g - 6. Let d(s) = s - 5. What is 6*a(v) - 5*d(v)?\nAnswer: v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 58743531 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.308251 + -139.677949. Let f = -141 - m. What is f rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 3, k: 12, h: 1}. Give prob of sequence ah.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 770 + 607*c**2 + 210 + 49*c**2 + 37*c**2 + 154*c**2 wrt c?\nAnswer: 1694*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -3229 * -0.7\nAnswer: 2260.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 495*b. Let d(h) = 13*h. Determine -2*a(g) + 77*d(g).\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(204)\/sqrt(432) + (sqrt(1377) + 1 + sqrt(1377))**2 + ((sqrt(102) - 3*sqrt(102))\/sqrt(6) + sqrt(17))**2 + -2*(-2 + sqrt(17))**2.\nAnswer: 265*sqrt(17)\/6 + 5484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (18\/27)\/(4\/(-18))*-3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-5*sqrt(384))\/(-6*sqrt(108)*4) + 0.\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -150 + 236. Let v = p - 84. Suppose 2746 = v*d + a, 5*a - 6*a = -3*d + 4119. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-82)\/24)\/(-41)*36?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/((g\/(g*g**(2\/3)))\/g))**(-40)*(g**(1\/3))**(17\/4) assuming g is positive.\nAnswer: g**(-421\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 11 in -69, 0.04, 0, -0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*u**5\/2 + 6041*u**4 - 18463*u**3\/2 - 49389*u**2 + 34848*u + 105840 = 0. Calculate u.\nAnswer: -12\/7, 2, 3, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3 - -7. Let q be (-36)\/(-18) + -5 - (1 + -2). What is the closest to q in d, -9, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 2, 89, -8, 1, 71.\nAnswer: -8, -1, 1, 2, 71, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1313425801.\nAnswer: 163, 8057827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (106*x + 81*x - 2*x)*(175 - 175 + 21*x).\nAnswer: 3885*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -7.78235 to 2 dps.\nAnswer: -7.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 651, 649, 643, 633?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 400 and 33725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + 2*(((sqrt(84) - 1*sqrt(84))*-6)\/sqrt(12) + (5 + 1*sqrt(7) - sqrt(56)\/sqrt(32))))**2.\nAnswer: 18*sqrt(7) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -50313, -50377, -50437, -50493?\n\"Answer: 2*c**2 - 70*c - 50245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f + 12*d = 21, 2*f - 4*d + 53629 = 53643 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3, -134, -405, -846, -1493?\nAnswer: -2382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of d**5*p - 9*d**5 + d**4*p + 16*d**2*p - 5*d*p wrt d.\nAnswer: 60*d**2*p - 540*d**2 + 24*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -2*y**2 - 83*y + 13. Let t be k(-36). Suppose -13*v + 488 = -t. What is the highest common divisor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 132*g**4 - 3*g**3 + 74*g**2 - 3. Let z(k) = -133*k**4 + 4*k**3 - 74*k**2 + 4. Let q(j) = 4*m(j) + 3*z(j). Find the third derivative of q(h) wrt h.\nAnswer: 3096*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -118.09 + 119. Let v = 0.71 - u. Let t = -538\/5 - -108. Which is the nearest to -2? (a) v (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.006384335463 to 7 decimal places.\nAnswer: 0.0063843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 19 (base 15) to base 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 0 + 10102302?\nAnswer: 10102302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6103492, 6103485, 6103478, 6103471, 6103464, 6103457?\nAnswer: 6103450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + f - 21 = 0, w = -4*f + f + 7. Suppose -5*g = w*g - 45. Suppose -g*n = 5*m - 163 - 467, n - 5*m - 156 = 0. List the prime factors of n.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 14679 and 234?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 5145 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3043, -3865, -4687?\nAnswer: -5509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00628 to four decimal places.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -59*g = 4360 - 13360 + 6168 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Is 4357118917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**3 + 13*w**2 + 2*w - 14. Let y(u) = 2*u. Let k(d) = d**3 + 4*d**2 - 6*d. Let r be k(-5). Calculate the least common multiple of y(r) and a(13).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwwwqwegqqzqqqqwew. What is prob of sequence wqw?\nAnswer: 49\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(2299) + sqrt(2299)*1 + 2)**2 + 0 - (3 + ((sqrt(95) + sqrt(95) + sqrt(95)*-1 + sqrt(95) + sqrt(95))\/sqrt(5))**2 - (-5 + 2*sqrt(19) + 5)).\nAnswer: 222*sqrt(19) + 9047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -7327156 > -7327170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53*z**2 + 48*z**2 - 399*z**2 + 3250.\nAnswer: -298*z**2 + 3250","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 23 - 11200359*r + 11200359*r - 27*r**3 + 2*r**2 to g*r**3 + q*r + a*r**2 + z and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 2*o**2 + 6*o - 6. Let j = 28 - 34. Let s be x(j). What is the highest common divisor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -71823053*0.7\nAnswer: -50276137.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -9*z**3 - 5*z + 4. Let l(i) = 10*i**3 + 6*i - 5. Let n(y) = 5*l(y) + 6*t(y). What is the first derivative of n(s) wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 435*n**3*t**3 + 46*n**3*t + 5*n**3 + 4*n*t**3 wrt t?\nAnswer: 2610*n**3*t + 24*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (488\/18 - 27)*4 - (-1)\/9*-220?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*h**2 + 4 + h**2 - 3 + 0 to the form q*h + t*h**2 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(1 + -4*(sqrt(144)\/(-3*sqrt(6)))\/((sqrt(144) + (sqrt(144) - (sqrt(144) - -1*sqrt(144))))\/sqrt(12) + sqrt(12))))**2 + 3.\nAnswer: 200*sqrt(2)\/3 + 1052\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 18 and 6602?\nAnswer: 59418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 9*x - 6. Let j be a(6). Suppose 2*k + 2*k - j = 0. Let l be (-2)\/k - 3\/(-2). What is the closest to 1 in -0.3, -2\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30432 is divided by 7576.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = -454 + 498. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((2 + -4 + sqrt(95)\/sqrt(405))*-4)**2.\nAnswer: -5488\/27 + 64*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.432 - 0.132. What is the second biggest value in i, 3\/19, 2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -125, -258, -391, -524, -657?\n\"Answer: -133*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -82 - 34 + 116 + 30*i**3.\nAnswer: 30*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let -5*s**4 - 100*s**3 - 545*s**2 - 90*s + 3240 = 0. Calculate s.\nAnswer: -9, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the second derivative of w**5\/20 - w**4\/6 - w**3\/3 + 3*w**2\/2 - 4*w. Let j be x(3). Solve 0 = 5*k - 3*k + j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 13494.35km to millimeters.\nAnswer: 13494350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-17632)\/(-30856))\/(2\/322)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6 - 4 - 2*p**2 + 12 + 2*p - 2*p + p**2 + (2*p + 2*p - p)*(8*p + 3*p - 6*p) to s*p + b*p**2 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 68293752 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) -0.1 (c) -418\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2409*h - 2405*h = -7*x + 14, -21*x - h = 35 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4224 - 4289.91. Let j = -65 - g. Let n = 1.91 - j. Do n and 45 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 24*l**2 - 890*l + 78. What is x(37)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 11291 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 324*g - 3613. Calculate s(11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 2*d. Let l be s(3). Let j(g) = l + 1 + 2*g - g - 6 + 7*g**3 + g**2. Give j(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3*(2\/3)\/(4\/(-8)). What is the remainder when 30 is divided by 20 - (8 + 16\/y)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -5*q + 24. Let l be g(-20). Suppose 114*s - l*s = -40. Which is the nearest to 8\/7? (a) s (b) 0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 4*x. Let d(s) = -3871*s. Determine r(d(t)).\nAnswer: -15484*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 3*i + 18 = -2*i, -34 = -5*c - 3*i. Let y(s) be the second derivative of 0*s**3 - 38*s + 0*s**4 + 0*s**2 - 1\/50*s**c + 1\/75*s**6 + 0. Factor y(j).\nAnswer: 2*j**3*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*z**2 + 48*z + 46*z - 99*z + 6*z**3 - 15*z**3 to the form i*z + w + k*z**3 + v*z**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 1260 = 2187. Let s = b - 569. Is (-2)\/8 - s\/(-16) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (0 + sqrt(245) + sqrt(245) + sqrt(245))*1)**2.\nAnswer: -84*sqrt(5) + 2209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 + 3*f**2 - 2 - 4*f + 4*f - 2*f**2 + (2 + f - 2)*(-3 + 3 + f) + f**2 + 2*f**2 - f**2 + 2 + f**2 - 2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 244*f - 43 - 119*f - 127*f.\nAnswer: -2*f - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 56 + -3?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 54 = 38. Solve 0 = -5*u - 2*m + 4, 0 = 3*u - g*u + 5*m - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 + 31. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46764 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/(-4) + (-42)\/(-72). Let s = -0.1 - -0.03. Let k = s - -0.07. What is the smallest value in -5, k, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 16668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, -283\/5, -5, 2\/11, 5?\nAnswer: -283\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-17 - 34 + 74)*(6*c - 2*c - 3*c)*(1 - 4 + 2).\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.8 * -0.62.\nAnswer: -0.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-84)\/8 + -1)\/((-2)\/4). Let f = -11 + k. Solve -2*m - f = -8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*f = 23*f - 32736. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3399*r - 3417*r + 36 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/6 + (-42)\/(-9). Suppose -6 = -d*m + 4*m. Let p = 29 - 27. Solve 2*c - p = -m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ndu when three letters picked without replacement from {n: 1, u: 1, c: 3, d: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 3*q - 3*g - 9 = 0, 0 = 4*q - 4*g - 28. What is the remainder when q is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4591804 to the nearest integer?\nAnswer: 2143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 632210.5 micrometers in centimeters?\nAnswer: 63.22105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = z**3 - 11*z**2 + z - 12. Let i be s(11). Sort 1, i, 2, -3 in decreasing order.\nAnswer: 2, 1, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*q + 29*q**4 - 30*q**4 + 109*q**3 - 183*q**3 + 2*q**2 to z + k*q**2 + y*q**3 + i*q**4 + c*q and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Round 0.006689188449 to seven decimal places.\nAnswer: 0.0066892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - (-1 - -10 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-20)\/25)\/(-2)*38\/114*450\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 253232101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -17 + (2 - -8) - -6 - (0 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -8 times -174?\nAnswer: 1392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = 2*w + 181, 4*m + 5*w = 69 + 89. Let o = 116 - m. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when -24 + (-3 + 5)*3931 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = k**3 + 2*k**2 - 2*k - 5. Calculate l(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 27*v**4 + 26*v**3 - 11*v + 347. Let t(y) = -13*y**4 - 14*y**3 + 6*y - 174. Let m(b) = 11*t(b) + 6*w(b). Differentiate m(n) with respect to n.\nAnswer: 76*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.1 + -0.1. Let d = 0.15 + -0.35. Sort -3, s, d in decreasing order.\nAnswer: s, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.13915 - 0.15. Let u = n + 0.29. Round u to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 5 - ((-4)\/(-2) - 2). Let k(i) = i + 5. Let v be k(0). Find the third derivative of -2*x**2 + y*x**2 - v*x**4 - 2*x**2 wrt x.\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -74*g + 129*g = 73*g - 7488. What is the remainder when g is divided by 110?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 12? (a) -1\/3 (b) -5 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3629*k**4 - 92222?\nAnswer: -14516*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 24 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3 + 1 + 0 + 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9409671 to the power of 1\/2, to the nearest integer?\nAnswer: 3068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*q = 8 + 6. Let d(s) = 4*s + 2. Let r be d(2). Suppose z + z = r. What is the least common multiple of z and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2.2 - 1.8. Let k(m) = m**2 + 7*m - 4. Let i be k(-9). Suppose 3*q - 5*r = -i, q - 2*r + 17 = -4*q. What is the third biggest value in 1\/5, z, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0\/(-1) + 5 + (-211)\/(-1). Let l be 1248\/h + 4\/18. Let o(k) = -k**2 + 7*k. Let n(w) = 2*w**2 + 8*w - 3*w**2 - 2*w. Calculate l*o(c) - 7*n(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6710*f*o**3 + 19747*f*o**2 - 2*f*o + 2*o**3 wrt o?\nAnswer: 40260*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l = -110*t + 105*t - 8, l + 3 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/2 + (176\/4 - 8). What is the greatest common factor of a and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 + 0 = -3*i. Calculate the smallest common multiple of -2 + -13*3\/i and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 200 and 338500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -159, -208, -341, -600, -1027, -1664, -2553?\nAnswer: -3736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 598 and 64814.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -45\/2 and -97\/1185612?\nAnswer: 1185612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 544713305 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 175 a factor of 290850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 + -2)*26\/(-3). Suppose 2*l + g - 10 = -3*y, 5*y = -20. Which is bigger: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7538790?\nAnswer: 2, 3, 5, 7, 35899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -913*c**2*k**3*u**2 - c**2*k*u**3 + 3*c*k**2*u - 35*k**3*u**2 + 2*u**3 wrt c?\nAnswer: -1826*k**3*u**2 - 2*k*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 554 divided by -61092?\nAnswer: -277\/30546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -4*u + 100, 4*u = -x - u - 85. Let w = x + 225. Suppose -7*a + 3 = -w. What is the highest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes before 9:10 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -i**4*l**3 + 2*i**2*n - 57*i**2 - i*l**3 - 2*i*l**2*n - 18*l**3*n + 1 wrt i.\nAnswer: -12*i**2*l**3 + 4*n - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -1408, -6, 5 in decreasing order.\nAnswer: 5, -6, -1408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -6944315 less than or equal to -6944313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 2*s**2 + 13*s + 66. Let g be 42\/(-4)*4*1\/6. Let k be o(g). Let t = 121 - k. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 12 = -8*h. Suppose 4*i = -h + 15. Suppose i*y = -y + x + 593, -25 = 5*x. Calculate the highest common divisor of 21 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 94573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 19112 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 98157183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, -25, -4 in decreasing order.\nAnswer: 22, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-46)\/(-110) - 12\/(-66)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/6, 1\/3, 0.1, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - ((4 - (-4 - (-2 + -1))) + -14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000623702 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 89573 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2701743172.99999987 - 2701743151. Let g = 54 - 76. Let y = g + v. Round y to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that -3*k**3\/5 + 258*k**2\/5 + 791727*k + 3958374\/5 = 0.\nAnswer: -1106, -1, 1193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 57\/7 and -63\/7345.\nAnswer: 51415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 11911 - 11910. Which is the nearest to -1? (a) -4 (b) 512 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-13)\/(273\/70)*(-3)\/15.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -54.14 - -54.14. What is the smallest value in y, -5, 4, -0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-2)\/(12\/(-5))*795\/2350 and 6\/7.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-7256)\/(-12))\/(((-10)\/(-6))\/(-5)). What are the prime factors of n\/(-18) - 2\/18*-2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2920 greater than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**3 - 7*u**2 + 2*u - 3. Let r be s(7). Let f(n) = -3*n - 2. Let k(h) = 8*h + 5. Determine r*f(d) + 4*k(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -45750*s - 320168. Determine t(-7).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 148 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 9 + -5. Let p be (10\/25)\/(6*(-3)\/(-225)). Suppose -810 = -p*w + y, 0*w - 4*y - 664 = -k*w. List the prime factors of w.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22 - (-61 + 18) - (-8 - -3) - (1 + 4)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.13 - 0.12. Let f = -18.69 - -0.89. Let g = f + 18. What is the nearest to y in -4, -0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1052*(-12)\/600*5. Is a less than 105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10b (base 15) in base 10?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(2\/(8\/12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4256 divided by 112.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -4*a**2 - 8*a - 18. What is l(-3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1558\/4 - 4 - 3\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 26129 - 107?\nAnswer: 26022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-338)\/(-39))\/(2\/(-3)). Let a = 28 + m. Factor a*c - c**2 - 2*c**2 - c**2 - 11*c.\nAnswer: -4*c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1583658?\nAnswer: 2, 3, 29327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 12 = 4*l. Let c(a) = a**3 - 4*a. Let r be c(-2). Suppose -4*n + 0 - 4 = r, -3*b = -n - 46. What is the remainder when b is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -1 and -1342.\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s**3 - 2*s**2 + 3. Let q be m(2). Suppose -3*r = q, -2*r = -3*y + 410 + 345. Suppose -2*b = 3*i - y, 2*b - 221 = 2*i + 15. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2615)\/(-620) - (-52)\/1612?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 3293351913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12982*g**3 - 7053*g**3 + 13154*g**3.\nAnswer: 19083*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-8)\/(-18) - (-728)\/144)*52?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 5 + 2)*(-3187 + 3187 + 27*w**2) + (1 - 5 + 2)*(-w**2 + 4*w**2 + 3*w**2) to the form c*w**2 + y + m*w and give c.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -20892, -20606, -20320?\nAnswer: -20034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 137620019 and 224189?\nAnswer: 963340133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - m - 8 = 0, 0 = -2*d + 2*m - 4*m + 14. Calculate the remainder when 22 is divided by (3 - (0 + 18))\/(-1) - d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -5*s**2 + 7*s + 6. Let w(v) = 11*v**2 - 15*v - 13. Let g be (-435)\/33 - (-12)\/66. What is g*q(t) - 6*w(t)?\nAnswer: -t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20 - 2872*l + 2872*l + l**2.\nAnswer: l**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -43724 (b) 2 (c) -1 (d) -4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k - 4*i = 0, 3*i = 5*k + 27 - 35 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 17176991 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(3 + (-4 + 1*(sqrt(768) + -3)*4)**2)*6.\nAnswer: -73728*sqrt(3) + 451692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 381*y**2 + 6426*y - 872. Give f(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 23*v**3 + 2*v**2 - 3*v + 2. List the prime factors of m(2).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39430 times 5?\nAnswer: 197150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 100 (base 5) to base 12.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r**2 - 1. Let y be u(-4). Let l be (-7)\/y*(-80)\/280. Put -2\/3, l, 2, 2\/11 in increasing order.\nAnswer: -2\/3, l, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -2, -10693, -6, 3, -1 in decreasing order.\nAnswer: 3, -1, -2, -3, -6, -10693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-14)\/12*(6 + 4 + -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 396 and 1287.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 1686*y**2. Let k(h) = -1857*h + 1. Determine k(j(q)).\nAnswer: -3130902*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -20, -13, 0, 19?\n\"Answer: 3*n**2 - 2*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(320) + -2*sqrt(320)*3)*-3 + 4)**2.\nAnswer: 960*sqrt(5) + 72016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v**(-34)*v))\/v**(-5))\/(v\/((v**40\/v)\/v*v)*v**(-35)*v) assuming v is positive.\nAnswer: v**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7488) + (sqrt(7488) - (-6*sqrt(7488)*1 - sqrt(7488))))\/(sqrt(448)\/sqrt(7)*-5)*-3)**2.\nAnswer: 85293\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 21.4 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -21 - (-5 + (27 - 11) - 4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 3 + 4*x)*(-x + 839 - 837 - 5*x) as o*x + d + k*x**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 59491543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1\/1)\/((-1)\/3). Sort 5, 4, p in increasing order.\nAnswer: p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 121478 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from npnkjhej. What is prob of sequence pjkh?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6 in -1, -4, 2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((2*sqrt(550) - sqrt(550))*5)\/(sqrt(100)\/sqrt(90)))\/((sqrt(3564)*2)\/(3*(sqrt(4) + (sqrt(16) - sqrt(4)) - sqrt(4)))).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q**2 + 23*q - 41. Let x be g(20). Suppose 0 = -5*b - 3*a + x, b - 4 - 9 = 4*a. Solve 0 = -8*v + 3*v + 2*o + 6, b*v - 14 = -2*o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*2*(-4 + ((2 + sqrt(242) + 1)**2 - ((sqrt(126) + sqrt(14))*3)\/sqrt(7))).\nAnswer: -494 - 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**3 + 16*l**2 - 13*l - 30. Let s be o(15). Solve s*v = -2*v - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, l: 1, f: 2}. What is prob of sequence fl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*3*sqrt(204)*1*-4)\/((sqrt(576)*3)\/(sqrt(108) + sqrt(108)*3 + sqrt(108))).\nAnswer: 150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(13) + 2)*-3 + 4*sqrt(117).\nAnswer: -4 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {q: 4, s: 8, x: 1, n: 2, y: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 7*z**2 - z - 7. Let q(x) = -x**2 - 2. Calculate -n(a) + 3*q(a).\nAnswer: -10*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 377479.\nAnswer: 211, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -10 - 10. Suppose -m = 2*m - 15. Suppose -4 = -m*s + 2*k, k - 2 = 5*s + 2*k. Which is the smallest value? (a) s (b) 0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 9 - -3138.168\nAnswer: 3147.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g be 9\/4 - 7\/28. Suppose g*q - 137 = -27. Let o = 111 - q. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of o**6 - 95*o**5 + 1901*o**4 - 2102491*o**2.\nAnswer: 120*o**3 - 5700*o**2 + 45624*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**22*(w*w**(-19))\/w)\/((w\/(w*w**(-7\/8)))\/w**(-3\/10)) assuming w is positive.\nAnswer: w**(73\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {n: 2, l: 5, v: 12}.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -c**3 - 7 - 2*c**3 - 27671*c**2 + 27 + 27671*c**2.\nAnswer: -3*c**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10780 and 14210?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (27 + 3*t - 2*t + 2*t)*(-11 + 44*t - 19*t + 7).\nAnswer: 75*t**2 + 663*t - 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 107277992 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 15*g - 16*g + 3*x - 18, -g + 5*x = 28 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.07397 to 3 dps.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = o - 5. Let n = o - -8. Solve n*j - 2*x + 5 = -4*x, -5*j + 4*x - 23 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -b + 12*b - 11 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.2 + -0.3. Let w be 3 + -2 + 1 + 2. Let j be (-1)\/(-3) + (-8)\/60. What is the second biggest value in j, z, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11 + -15. Let c be ((-4)\/(-3))\/j*-18. Let o(n) = -n**3 + 5*n**2 + 8*n - 8. Let l be o(c). Solve 1 + 31 = -4*d - 3*r, -d = -l*r - 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2 + 2. Let m(w) = -w**3 - 6*w**2 - 3*w + 4. Let f be m(-5). Let l be f\/9 - (-4)\/6. Is u at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 68.2911+1945646\nAnswer: 1945714.2911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v be (38 - -2)*5\/((-25)\/(-18)). Let r be (-3)\/(v\/232) - -5. Factor 0*y**2 + 1\/6*y**3 + r*y**4 + 0*y + 0.\nAnswer: y**3*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 26\/(-8) - 1\/(-4). Suppose -q + 4 = -2*d - 2, -d = 2*q + 3. Let s = d - j. Solve 5*z - 12 - 3 = s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-90 - 2)*20\/(-5). What is the greatest common factor of 16 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.111420766 - 245.888580244. Let f = h + 246. Round f to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -89 + 106. Let m(x) = 3*x - 13. Does 5 divide m(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 times -4.4399439?\nAnswer: 0.44399439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 10? (a) -2 (b) -0.4 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1064433 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 504591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (-86)\/52 + (-28)\/(-182) - 0\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand n**4 - 1 - 4 + 7 + (-1 + 2*n + 1)*(3 - 3 + 2*n**3) - 4*n**2 + 4*n**2 + 2*n**4 + 5*n**4 - 4*n**4 - 2*n**4 - 2*n**4 + n**2 - n**2.\nAnswer: 4*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -27 by 35093.\nAnswer: -27\/35093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the first derivative of -b**4\/6 - b**3\/3 + 2*b**2 - b + 5. Let a(t) be the first derivative of i(t). Factor a(k).\nAnswer: -2*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f - 5*l + 19, -98 + 117 = 3*f + 4*l. Let b be 3 + (-1)\/((-2)\/(-8)). Sort f, 3, b in decreasing order.\nAnswer: 3, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/15, -5, 0.59, 0.5, 0, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 1208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:00 AM and 2:17 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n**4\/5 - 428*n**3\/5 + 4534*n**2 + 298496*n\/5 = 0. What is n?\nAnswer: -256, -11, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 13 - -23. Suppose -4*u + v + 8 = 0. Find the third derivative of 41*t**4 - u*t**4 - 56*t**2 + 22*t**2 wrt t.\nAnswer: 720*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 2, 23, 64, 137, 254, 427, 668, 989?\n\"Answer: 2*k**3 - 2*k**2 + 13*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 367 minutes before 6:51 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3266 rounded to the nearest ten?\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + 2*s - 4 + 4 - 4*s + (0 - 1 + 2)*(3 - s - 3) + 11*s - 3 + 2 - 5*s)*(-1039*s + 1039*s + 31*s**2).\nAnswer: 93*s**3 - 31*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2639925 + 2639925 - 119*c.\nAnswer: -119*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 240*b - 1029 = 983 - 332. Let z(c) = -c**2 + 7*c + 14. Calculate z(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + 637\/(-52) + 7.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:05 AM and 10:04 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -1 + 1 + (7 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -s**2 - 14*s - 4. Let t be l(-13). Let x be 32\/12*t\/6. Suppose 5*j - 764 = 2*h - 63, -x*j + 5*h = -554. Is 47 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -36935, -149609, -337397, -600299, -938315, -1351445, -1839689?\n\"Answer: -37557*t**2 - 3*t + 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -24 + 23.9. What is the nearest to t in -2, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 1 a, and 1 l when three letters picked without replacement from {l: 1, a: 1, s: 1, c: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s be 876\/14 + (-156)\/(-364). Suppose 3*r + 5*c - 86 = -23, -3*r + s = 3*c. What is the common denominator of r and (5\/(-20))\/((-2)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 1\/380864?\nAnswer: 1\/380864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (414\/2760)\/(18\/(-10) - 0)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.020005 + 0.02. Round v to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -48404274 and -0.2?\nAnswer: 9680854.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26899 is divided by 3334?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 83628 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5 + 9. Solve 0 = -4*g - u*j + 24, -3*j + 4*j + 4 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*q + q + 0*q)*(9365 + 210*q - 9365) in the form d*q + c + n*q**2 and give n.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -116, -1481, -5338, -12935, -25520, -44341, -70646?\nAnswer: -105683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -47 - 470. Is y*(3 + (-3 - 1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 615739781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the first derivative of 23*d + 3 - 13\/2*d**2 + 4*d**3 - 1\/4*d**4. Let j be v(11). Sort -4, j, -3.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -8*o - 5. Let u(t) = t + 1. Suppose 3*y + 1 = 4. Let p(z) = y*m(z) + 5*u(z). Let g(f) = 0*f - 3*f + 6*f + 2*f. Calculate g(p(l)).\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -11, -4, -3, -1, -5 in ascending order.\nAnswer: -11, -5, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 16*u**2 - 214 + 66 - 62*u + 70 + 75 as v + g*u**2 + f*u and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 7418, 29118, 65274, 115880, 180930?\n\"Answer: -n**3 + 7234*n**2 + 5*n + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v**3 - 47*v**2 + 360*v + 363. What is w(37)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -q**4 - 3 + 4 + 7535*q**2 - 2*q - 7509*q**2 + 2*q**3 as t*q + n + w*q**3 + f*q**2 + x*q**4 and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4986 - -4985. Suppose -r = 4*u - 2*r + 7, 0 = -3*u - 4*r - 10. Put 5, u, 4, a in ascending order.\nAnswer: u, a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 54532356*h*s + 192523438*s with respect to h.\nAnswer: 54532356*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 511*a + 187 - 8880 = 5615 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -2*d**2 + 163*d. Let u(o) = 576*o. Calculate u(s(n)).\nAnswer: -1152*n**2 + 93888*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -2*a - 23. Suppose 0 = -2*v - 14 - 12. Let x be d(v). Suppose x*p + 40 - 100 = 0. Solve 4*w + p = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/77 in 2, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 94 a factor of ((-130)\/(-13) - 15)*724\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.6 times 4.95\nAnswer: 2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27985.\nAnswer: 5, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1)\/((-1)\/3 - 0). Let a(q) = -1 - q**2 - 4*q + 3*q - q**v + 2*q. Let l = 113 + -112. What is a(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.57755 to two decimal places.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 572791 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/(21 - 1) - (-12)\/10. Put 4, -2\/9, y, -2\/3 in decreasing order.\nAnswer: 4, y, -2\/9, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -4 - ((8 - 4) + -5)*9. Suppose 3*p - f*d = 1411, -3*p - 4*d + 741 = -706. What are the prime factors of p?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*h**3 + 37319 - 37319.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-5\/3)\/(m*m**(1\/4))*(m**(-1))**(-28\/9))**(-23) assuming m is positive.\nAnswer: m**(-161\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7007464 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 15494, 14918, 14330, 13730, 13118, 12494, 11858?\n\"Answer: -6*o**2 - 558*o + 16058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sojsssjjrosoos. Give prob of picking 1 j and 2 o.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -95*n - n**3 + 3*n**3 + 135*n to the form c*n**3 + t + z*n + d*n**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = 160.4 - 160. What is the third biggest value in -6, q, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000075596 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -2*q + 8. Let a be -1 + -1 + 1 - (-11 - -4). Determine t(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-9)\/6)\/((-2)\/4*1). Solve 0 = 87*q - 90*q + n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 178595*s**4 + s - 10724?\nAnswer: 2143140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.06? (a) 49 (b) -0.5 (c) -1\/27 (d) 3 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/5 + (-5)\/((-50)\/(-126)). Let o(j) = j**3 + 13*j**2 + 15. Let q be o(s). Let u = q - 13. Solve u*l = 2*w + 3*w + 11, -w = -l + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -i - 254. What is w(0)?\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1 - (100\/(-4) + -2). Suppose -5*u + 4*j + 112 = m, 2*u = -2*j + 48. What is the lowest common multiple of u and 58?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 956 bigger than 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 8) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 43*a + 3384. Determine d(-34).\nAnswer: 1922","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 64*j - 1. What is o(-1)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*6*1*sqrt(484)*4)\/((2*sqrt(99)*5 - sqrt(99))\/(sqrt(1089) - 2*sqrt(1089))))**2.\nAnswer: 5451776\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -552355 (base 13) in base 2?\nAnswer: -111101001010100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 - 17 - (0 + (-5 - -10)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1553520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 301801 and 4879.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 2 = 18. Let w be (-3)\/(((-6)\/n)\/(-1)). Suppose 3 - 9 = -2*l. Is l != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 66419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -47113.689 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 59265406.\nAnswer: 2, 1861, 15923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 2, 1\/3 in descending order.\nAnswer: 2, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 92*w**2 + 88*w**2 - 177*w**2 - 8 + (w + 2*w - w)*(5*w - 2*w - 2*w) + 49*w**2 + 25*w**2 + 23*w**2 as l*w**2 + k + q*w and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 5 = 0, -m - 9*g + 11*g = -106. What is the highest common factor of 78 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/(3*(-4)\/(-60)). Is 4 a factor of (-17)\/l + (-24)\/(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -53235 - -14242?\nAnswer: -37883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 9623 (base 11) to base 14.\nAnswer: 48d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d. Let b be m(3). Suppose -25 = -2*f + q + 46, 4*q = b*f - 119. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -2 - 0 - (-2)\/1. Suppose x*y = -y + 28. What is the remainder when y is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that 3*l**5 + 1950*l**4 + 5823*l**3 = 0.\nAnswer: -647, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 3704485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -16*v**3 - 53*v**2 + 18*v - 5. Let d(m) = 16*m**3 + 52*m**2 - 14*m + 4. Let z(b) = 5*d(b) + 4*o(b). What is the third derivative of z(r) wrt r?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*x**5 + x**4 - 11063*x**3 - 40996*x**2?\nAnswer: -180*x**2 + 24*x - 66378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2796262.7197866 + -2752115.70581. Let a = w + -44147. Let p = 0.014 - a. Round p to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 200630, 200632, 200634, 200636?\nAnswer: 200638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - k = -2*k - 11, -4*a = -k - 23. What is the remainder when 1 + 22 + (-6)\/3 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -16 + (27 - (-49 + 11))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 872, 841, 784, 695, 568, 397, 176?\n\"Answer: -p**3 - 7*p**2 - 3*p + 883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 72 and 156?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2770*m - 11984 = -2784*m. What is the remainder when 2574 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8894*y - 1 - 103317*y - 1 + 2.\nAnswer: -94423*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 + -4. Sort -4, 2, d.\nAnswer: d, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 121456.9600014 - 121457. Let p = -0.04 - i. What is p rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 156.22*0.02\nAnswer: 3.1244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -27765 divided by -3085.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1*10*(-2)\/(-4). What are the prime factors of 6*(185\/(-3))\/a?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 2, -114, -322, -622, -1014, -1498?\n\"Answer: -46*f**2 + 22*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 14*g**2 + 10*g**2 + 0.\nAnswer: 24*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*q**2 + 3*q**2 - 3*q**2 - 3*q + 3*q - q**2 + 3*q**2 - 2*q**2 + 0*q**2 + (q - 3*q + 3*q)*(1 - 1 + 2*q) + q**2 + q**2 + 0*q**2 + 2*q**2 + 65*q - 65*q.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s be (15\/10)\/((-6)\/(-40)). Let a be s\/(4\/(-6)*-3). Let j be 98\/4 + 36\/24. Solve -4*h + j = a*c, 2*h - h - 2*c = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/10)\/((-910)\/(-1300))*70\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/3*(-5)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21 - 2 - 117*i - 8 + 91*i - 8.\nAnswer: -26*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -66*d**2 - 332*d - 17. What is l(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1.89 - -0.11. Which is the third smallest value? (a) -0.1 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4390 + 1139. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(540)*1 - sqrt(540))\/(sqrt(50)\/sqrt(10)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -11117 + 11613. Solve 0 = -534*l + v*l - 76 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 30\/(-15)*3\/(-10). Let v be (-114)\/105 - (-2)\/7. Which is the nearest to 1? (a) 1 (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_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: Suppose 40*i + 15135 = 45*i. Suppose -i + 10547 = 2*q. What is q rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s**2 - 4*s + 49. Let i be d(0). Let x(c) = -c + 49 - i. Let b(y) = y. Give -3*b(j) - 7*x(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*f + 48 - 132 = 0. Suppose -863 = -f*d - 125. Is d a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/1316125 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -3*m - 1. Let p(b) = 1. Let d = 4 + -5. What is d*p(x) + f(x)?\nAnswer: -3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 34 + (-5 - 5) + -5 + (2 - 1)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1405434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 91 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -181452.5 rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 2*3\/(-4)*40\/12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = y**3 + 7*y**2 + 4. Suppose 0*r + 14 = -2*r. Let b be k(r). Find the third derivative of 0*t**2 + 4*t**2 + t**b - 3*t**2 wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 58\/(-15) + (0 - -4). Let r(v) be the first derivative of -1 + 0*v**4 + 0*v - n*v**5 + 0*v**3 + 0*v**2. Factor r(q).\nAnswer: -2*q**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the second derivative of i**5\/40 - i**4\/6 + 5*i**3\/12 - i**2\/2 - 23*i. Factor k(o).\nAnswer: (o - 2)*(o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*u - 3*q - 22 = -12*u, -15 = -3*u + 2*q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 171210 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11224 - 11224. Solve -o - z + 10 = t, -10*o - 4*z + 35 = -7*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*i + 4*b - 53 + 61, -16*i = 5*b - 53 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 72 (b) -4.1 (c) 3.314\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.04 take away -0.61?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -1*sqrt(99) + 3.\nAnswer: -3*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -3*c**2. Let t(z) be the first derivative of 0*z**2 + 5\/3*z**3 + 76 + 0*z. Give k(t(m)).\nAnswer: -75*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 10464*n - 10455*n - 2*n**2 - 10 + 14. Let m(l) = 3*l**2 - 17*l - 8. Determine -3*m(h) - 5*q(h).\nAnswer: h**2 + 6*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z + 8. Let a(l) = 21*l + 6*l - 31*l - 24. Let g(k) = -5*a(k) - 14*n(k). Calculate g(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + (6 - 7 - (1 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3 - 175\/66*2 - -1. Let w = 1\/33 - k. Factor t**2 + 1\/3 - w*t.\nAnswer: (t - 1)*(3*t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -437 - 0.036?\nAnswer: -437.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -0.5 * -0.5\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -238*j = 44*j - 1331 - 1785 - 1114 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 49513 + 4?\nAnswer: 49517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 168873539 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -6*t + 4. Let o = t - 0. Let q = -4 + 7. Solve 3 = o*d - q*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -8\/7? (a) -9\/7 (b) 1\/2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2028\/12005 or 0?\nAnswer: -2028\/12005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7234354270701.649913 - 7234351262019. Let c = 3008812.65 - r. Let x = c - 130. What is x rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -47*a - 2*o = 58*a - 6, -11*o + 24*o + 15 = 2*a + 18*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -403*y - 1107*y = -87*y - 15653 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3586018 hours in nanoseconds?\nAnswer: 1290966480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 100 divided by -1.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 17 and 583117.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0003567 rounded to five dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of ((-18)\/12)\/((-6)\/48) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*t**3\/4 + 2030460*t**2 - 3298206127425*t\/4 - 3298222371125\/2.\nAnswer: -5*(t - 812185)**2*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 54 = 36. Let g = 48 + t. Solve -2*s + 3*f = 3, -2*f - 12 = -3*s - g*f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -2*b + 2. Let z be p(-12). Suppose -73 - z = -3*w. Calculate the least common multiple of w and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -9222.913 + 9224.41299984. Let z = o + -1.5. What is z rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -851129, -851126, -851123, -851120, -851117, -851114?\n\"Answer: 3*t - 851132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 69 = -5*f, 0 = -z - 4*z - 2*f + 134. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s**3 + 13*s - 5. Let r(p) = 2*p**3 + 3*p - 3*p**3 - 4 + 9*p. Let n(t) = 4*a(t) - 5*r(t). What is the second derivative of n(f) wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - k = 3*h - 4, 2*h = 4*k - 8. Suppose 2*c - k*c - 3*c = 0. Let r = 10 - 30. Is r greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 49 divide 3266144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 11211111 (base 4) to base 7\nAnswer: 123450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -3*g**3 + 24*g**2 - 13*g + 26. What is u(8)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*m**2 + 33*m**4 - 1940*m**3 + 1940*m**3 + 6*m to the form k*m**2 + x*m + p*m**3 + w + a*m**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = -122 - 137. Let v = 132 - f. Does 48 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 13.1 + -1.1. Let t = 12.085 - k. Let m = 0.06 + t. What is m rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by 617126\nAnswer: 3\/617126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 520442?\nAnswer: 2, 13, 37, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 9873060853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f**2 - f + 1. Let n(x) = x**2. Let i(q) = 7*q**2 - 2*q + 4. Let j(d) = i(d) - 6*n(d). Determine j(u) - 4*t(u).\nAnswer: -3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 243443.151 microseconds?\nAnswer: 0.0000004025184375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 2*k**2 + 746*k - 6100. Determine m(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3843 + 3588 + 3610 + 10295 = 508*d for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**3 + 2*r**2 + 7*r - 5. Calculate y(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 98731 a multiple of 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2\/5)\/1*5. Suppose -7*a = -r*a - 15. Suppose t + 8 - 215 = a*b, -2*b = 4*t - 800. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*h**2 - 2*h + 2*h)*(h - 3*h**2 - h) + 0*h**4 + h**4 + h**4 + h to i*h + u*h**3 + s*h**4 + a*h**2 + f and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (-8 - (-3 + -8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4749 - -5185. Calculate the remainder when k is divided by 213.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*s**2 - 16 + 33*s**2 - 11*s**2 - 15 + 40.\nAnswer: 50*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4160 or 9363?\nAnswer: 9363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 15 (b) -4 (c) 0.0286 (d) -0.07 (e) 1\/3 (f) 15\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 126219935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.5 in 2\/3, -5, -593, -47?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = c**3 - 5*c**2 + 3*c. Let k be s(3). Let i(y) = 4*y + 9. Let h(w) = 15*w + 37. Let v(o) = k*i(o) + 2*h(o). Find the first derivative of v(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -67\/5162 and -83\/104.\nAnswer: 268424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xsssssxxrhxiosi. Give prob of sequence xix.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 220 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2*((17\/(-34) - 2) + (-24)\/(-9)). Let f(i) be the first derivative of -19\/2*i**4 + 0*i**2 + h*i**3 - 5*i - 18. Find the third derivative of f(s) wrt s.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4939 or 5425?\nAnswer: 5425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-1)*2*(-49)\/98.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be 8\/12 + (-6254386)\/33. Let v = j + 189712. Let z = v - 186. Which is bigger: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*z - 27328373 - 4999627. Round z to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 53692231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -140 divided by 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -22 - (-2 - (1 + (1 - 1)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = 5*d - 360, -6*d + 2*d + 215 = 3*p. Suppose -4*k - 193 = 2*f - 551, -5*f = -k + p. Calculate the greatest common factor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:26 AM and 12:02 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1865, 3744, 5637, 7550, 9489, 11460?\nAnswer: 13469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 61220.56251 to the nearest 10.\nAnswer: 61220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9*d**4 + d**4 + 3*d**4 - 10*d**2 wrt d.\nAnswer: 312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-22632)\/(-9430))\/((-16)\/30)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 284341420 to the nearest 100000.\nAnswer: 284300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -70 + 0.04.\nAnswer: -69.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 6*w**3 + 94*w**2 - 18*w + 22. Calculate j(-15).\nAnswer: 1192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tmot when four letters picked without replacement from totmwjobmbtomwjbwtt?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 415 and 1743.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-2\/31)\/(f\/(f*(f**(11\/2)*f)\/f)))\/((f*f*f*f**11*f*f)\/f**(2\/47)) assuming f is positive.\nAnswer: f**(-30661\/2914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w = 20 - 26 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3162 + -3160. Let d(n) = n**2 + 3*n - 2. Let y be d(-6). Let w = -1 + y. Solve g*c = -3*i - 25, -2*c + w = i - 6*i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 35*h**2 + 84*h - 352. What is the thousands digit of z(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -3022349.5 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = 21 - 7. Suppose -15 - 78 = -3*s + 3*r, 0 = 4*s + 4*r - 76. Calculate the remainder when s is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 27845916466 + -904\nAnswer: 27845915562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -17*x - 17. Suppose -3*o - 5*o = 64. Is 6 a factor of v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzzzzzz. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 58123308 and 348.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -t**4 + t**4 - t**5 + (0*t**2 - 2*t**2 + 4*t**2)*(3 + t**3 - 3) - 568882*t**3 + 568882*t**3 - 18918*t**5.\nAnswer: -18917*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.1 (b) 219 (c) -895 (d) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 4202, 3920, 3450, 2792?\n\"Answer: -94*c**2 + 4296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes after 4:49 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.9 - -4.9. Let f = 43 - 46.5. Let j = f + r. Which is the closest to -0.05? (a) 1 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 70817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1\/10 - 7\/5. Let i = 0.2 + -0.1. Is i at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - 0 - (-15 + 15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -12403 (base 6) to base 7\nAnswer: -5316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*i + 9*i = 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 102*c = 114*c - 192 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 116 + -119. What is the second biggest value in 1, -0.3, o, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10\/120 + 35\/300?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3348 is divided by 135.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.05 - -0.14. Let z = i + -3.29. Round z to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g\/(g*g*g*g**(-11\/4)*g*g))**45\/(g**35)**10 assuming g is positive.\nAnswer: g**(-1445\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the first derivative of -25*i**6\/3 + 103*i**2 - 2*i + 1070. Find the second derivative of u(w) wrt w.\nAnswer: -1000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 14006 - 14006. Solve -2*r + f - 3 = a, 0 = -2*r - 3*f + 1 - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -3*s**2 - 10858*s + 617485. What is w(56)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -s**2 - 2*s**3 - 609*s - 47763868*s**4 + 47764010*s**4 + 3791*s wrt s.\nAnswer: 1704*s**2 - 12*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = d**2 - 9*d + 4. Let t be k(11). Suppose -2*n + t = 5*h + 196, n + h + 85 = 0. Let o = n - -119. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 763 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1206326 to the power of 1\/2, to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) be the third derivative of -662*h**4\/3 - 2401*h**3\/3 + 9*h**2 + 226. Differentiate z(j) wrt j.\nAnswer: -5296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the third derivative of 1334*c**5\/15 - 45*c**3\/2 + c**2 + 1019*c. What is the derivative of v(j) wrt j?\nAnswer: 10672*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*h + 3*d + 1, 4 = -5*h - d + 17. Let s = -78.988 + -0.012. Sort s, -1, h in decreasing order.\nAnswer: h, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.6 - 0.6. Let m = -4 - g. What is the second smallest value in 0.01, 1\/6, m?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 4 = -64. Suppose 5*m - 2*f = f - t, 5*m + 16 = 4*f. Suppose -5*h - v - 3*v + 1883 = 0, m = -5*h - 3*v + 1886. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.1, -2\/63, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 48 - 49. Which is the biggest value? (a) -1\/2 (b) -2 (c) -1\/6 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 314 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6298828?\nAnswer: 2, 31, 79, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 0*a**2 + 5*a**3 + 0*a**2 - 2*a**3 - a**2 + a**2 + (1 - 1 + 3)*(a**3 - 3*a**3 + 0*a**3) as y*a**2 + r*a**3 + u + m*a and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 16*w - 631. Calculate m(44).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4 (b) -112 (c) -0.04 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 503 * -0.3\nAnswer: -150.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -353*b**4*m + 32*b**4 + b**3*m + 10*b**2*m + 5*b**2 + 539 wrt b?\nAnswer: -8472*b*m + 768*b + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 255 + -243. What is the lowest common multiple of 44 and t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 14 + -11 - (-4)\/(-1 - -3). Suppose -h*g + 44 = 2*i, -g - 5*i = -2*g - 2. What is the remainder when 47 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 56 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -360, -34, 908, 2778, 5888?\nAnswer: 10550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - 3*g**3 + 0*g**2 - 2*g**4 - 1\/3*g**5 + 0*g.\nAnswer: -g**3*(g + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -12 - -17. Let c(l) = 13*l + 7. Let m be c(s). What is the greatest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 176, 363, 576, 827, 1128?\nAnswer: 1491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(3\/4)*g)\/g)**(2\/17) assuming g is positive.\nAnswer: g**(3\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - ((-35 - 0) + (-31 - (-55 + 40))).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (((-148)\/24)\/37)\/((-4)\/16)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -736923856049.999999471 + 736923854963. Let t = f + 1087. What is t rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the third derivative of s**4\/12 + 2*s**3\/3 + 84*s**2. Calculate b(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -3*l - 1. Suppose -3*b - 1 = -l*b. Suppose -m + 8 = -b. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 * 754.\nAnswer: 301.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -22*(2886\/12)\/(-13) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}