{"text":"Question: b\"What is the tth term of 34572, 271089, 913060, 2163213, 4224276, 7298977, 11590044?\n\"Answer: 33788*t**3 - t**2 + 4*t + 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(567))*4 - (sqrt(567) + (sqrt(567) + 1)*-3)**2 - (2 + ((-3 + sqrt(567) + -3)*-6)**2).\nAnswer: -23979 + 3816*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 4 - (-41 + 19 + 32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/4)\/u*u)**(-39)*u**(-2)*u*u*u**(-5\/2) assuming u is positive.\nAnswer: u**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -4*y**2 - 7*y - 8. Suppose -12*c + 33 = -c. Suppose c = -9*l + 57. Let t(u) = -11*u**2 - 20*u - 23. Determine l*t(m) - 17*q(m).\nAnswer: 2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/(-72))\/((-6)\/(-4))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*a + 30 = -13*a. What is the third derivative of 2*t + t + 18*t**3 + 0*t**3 + 5*t**3 + a*t**2 wrt t?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of o**3 + 7943*o**2 + o + 661 wrt o.\nAnswer: 6*o + 15886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -7*i + 12. Let a(w) = 3*w - 6. Let g(v) = -9*a(v) - 4*n(v). Let s = -4023 + 4016. Calculate g(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1100) + -4*sqrt(1100))*-5 + 5 + 1 + -4 + (sqrt(1100) - (sqrt(1100) + 4)) + 4 + -1 + sqrt(1100))**2.\nAnswer: 320*sqrt(11) + 281601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*l + 8*l = -2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from hhvccky.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j + z + 1, -4*j - 20 = z - 5*z. Let p be -32 + 6*2\/j. Let x = -29 - p. Solve 0 = -4*a - t + x, -3*a - t - 3 = -3*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -9*k + 16. Determine s(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 6776, 10394, 16434, 24902, 35804, 49146?\n\"Answer: f**3 + 1205*f**2 - 4*f + 5574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 z, 1 o, and 1 q when four letters picked without replacement from {p: 1, o: 1, q: 1, z: 1, h: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9\/(-12)*(-2 + 6). Let u = 5 + p. Is -4 - -3 - 2\/u - -70 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 92169.26 decades?\nAnswer: 11060311.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -62 + 66. Suppose 2*m - 2 = -5*f + 3*f, 14 = -a*f + 5*m. Let z be 2 + f + (-2)\/(6\/(-9)). Solve -2*w = 2*w - 4*u + 20, z*u = 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j = -4*k + 2*j + 12, -2 = -2*k + 2*j. Suppose 3*t - k*t = 13. Calculate the remainder when t is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-13 + (11 - 6) - -17) + 6 + -1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 - 7*y**2 - 12*y - 12. What is z(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**2 - 23070*r + 26611245.\nAnswer: 5*(r - 2307)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14.1 - -1.1. Let t = 9.3 + -23.3. Let k = h - t. Which is the second smallest value?  (a) -1  (b) k  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -140 - 1?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -45 (base 16) to base 11\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 278910319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 6.191*0.12\nAnswer: 0.74292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 2 l, and 1 h when four letters picked without replacement from {i: 1, a: 2, h: 3, l: 4, j: 6}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 14962, 14951, 14930, 14899?\n\"Answer: -5*v**2 + 4*v + 14963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -244730408*u**3 - 5*u + 8623947?\nAnswer: -1468382448*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2447*l + 40417 + 35347 = 1836*l for l.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -882 - 630 = -108*d + 120 + 1284 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) + 1 + sqrt(76) + 2)**2 + 2.\nAnswer: 24*sqrt(19) + 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = 3*r. Let g = r - 4. Let i be ((-30)\/g)\/(3\/6). Solve -i = -5*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 73624 and 423.\nAnswer: 31142952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*v, -3*t + 1197 - 471 = 3*v. Calculate the remainder when t is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 78453838, 156907675, 235361512, 313815349?\nAnswer: 392269186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 75 - 75 + 26*h**3 + (-5*h + 0*h + 0*h)*(-2*h**2 + 3*h**2 + 2*h**2).\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.71 - -1. Let n = i + -0.26. Round n to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -413*x + 23959. Calculate i(58).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 + (16\/4 + -5)*3. Let j be -1 - (2993\/10 + 0). Let m = j - -300. Which is smaller: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8.5 - -6. Let x = m + 2. Let n = 2849 + -2847. Which is the second biggest value?  (a) n  (b) x  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -4*(sqrt(1584) + (3*sqrt(1584) + sqrt(1584) + sqrt(1584) - sqrt(1584)))\/(sqrt(64) + sqrt(64) + -3*sqrt(64) - sqrt(64)))**2.\nAnswer: 60*sqrt(11) + 2479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -616227, -616969, -617711, -618453?\nAnswer: -619195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 + 2*r - 77. Let m be z(8). Factor 0 - 3\/4*t**m - 1\/2*t**4 - 1\/4*t**2 + 0*t.\nAnswer: -t**2*(t + 1)*(2*t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -3*x + 53. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -f + 30. Suppose 0 = -5*z + 2*a - 38, -14 = -3*z + 2*z - 5*a. Let s = z - -10. Solve -3*m = d - 8*m + s, -d + f = 5*m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13088487 (base 9) to base 4.\nAnswer: -120203102233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6037 (base 9) to base 15\nAnswer: 148d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9513321.\nAnswer: 3, 3171107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-2565)*-9*5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 28 = 5*g + 37, 4*g - x + 9 = 0. Which is the second biggest value?  (a) -3.63  (b) g  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.16 + -0.36. What is the smallest value in 3, k, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*r**2\/4 - 885*r\/8 + 147\/8.\nAnswer: 3*(r - 49)*(6*r - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 28*z. Let t be (5 - 4) + 2 - 0. Let w(g) = -15*g + 22*g + t*g. Give w(b(r)).\nAnswer: 280*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 12:49 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21780 + 239*q**2 + 4420*q + 5*q**3 + 118*q**2 - 77*q**2 - 8260.\nAnswer: 5*(q + 4)*(q + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 1948*h + 17534. Calculate q(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8588 is divided by 1221.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000033994 to six dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/4)*h\/h**2)\/(h**7\/((h\/((h\/(h\/(h\/(((h\/h**(5\/7))\/h)\/h))))\/h*h*h)*h*h)\/h*h*h)) assuming h is positive.\nAnswer: h**(-223\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -25 + 40. Suppose 0 = -2*i - i + 2892. Calculate the remainder when i\/22 + 4\/22 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 - 4*p**2 + p. Suppose -n - 8 = -0*n. Let z be ((-10)\/n)\/(3\/(-12)). Does 16 divide x(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 14\/(-6)*(-1 + -2). Let b(s) = -5*s - 1. Let d be b(l). Find the common denominator of 97\/14 and ((-57)\/d)\/(8\/(-6)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/472752859 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1325779, 2651563, 3977337, 5303095, 6628831?\nAnswer: 7954539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 2*m**3 - 24*m**2 - 420*m + 887. Give p(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 4 = h - 2*c, 12 = 5*h - 2*c. Let w be -4 - 2 - (-1 - h). Let g(p) = p**3 + 4*p**2 + 3*p + 3. What is g(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4043*a**2 - 654*a wrt a.\nAnswer: 8086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((-11)\/(-209)) + 46?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -12, -1695.\nAnswer: -1695, -12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 at least 69989.47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -26*b. Let j be a(0). Solve 6*m - 4*m = j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 423 + 142?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of 7*n**4\/12 + n**3\/6 + n**2\/2 - n. Let x be m(-1). Solve -3*i + 19 - x = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 + -12 + 1 - (6 - -16).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((1 + -2)\/(-1))\/(9\/63). Suppose z*p = 10*p + 39. What is p rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 - 18*t + 13. Give d(14).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 5:31 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 43005 + -16331?\nAnswer: 24454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + -4. Suppose 140 + 26 = 101*l - 137. Solve l*a - d = -8, 5*a - d = -s*d - 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -340*m - 7134. Calculate h(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + q - 9 - 12, 5*t = -3*q + 35. Find the second derivative of t*v - 3*v - 3*v**5 - 4*v + 4*v wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of g**4 + 17*g**2\/2 + 11*g. Find the first derivative of c(n) wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40 (base 7) to base 10.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-27)\/18 + (-7)\/2. Let g(m) = -7*m**3 - m**2 + 6*m - 5. Is g(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*s - 63 = 1913. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 2 + (sqrt(475) + 3 - sqrt(475)) + sqrt(475) + (-1*sqrt(38)*-4)\/((sqrt(2) - (sqrt(2) + sqrt(18)))*2))**2.\nAnswer: 3211\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 66512.356 to the nearest 1000.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24770455 is divided by 1179543.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.5 - 1.59. Let u = f - 1.71. Round u to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0068993 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - 6*j**2 - j - 5. Let h be d(-6). Calculate the remainder when 131 is divided by 43 - ((-2)\/(2 - 0))\/h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -429240 - 68830.6356\nAnswer: -498070.6356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1473 or -1475?\nAnswer: -1473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.3604 - 0.0396. What is the nearest to 2 in -2, n, 2\/7, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 27*n**3 - 5*n**2 - 56*n - 152. Give v(-3).\nAnswer: -758","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 11*l - 1365. Let m be ((-4)\/(-10))\/(21\/l). Let s(a) = -9*a + 6. Let n(b) = -4*b + 3. Determine m*s(q) - 5*n(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 1:41 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-137 + 129 + 499 + 111)*(-2*u + 4*u + u) to the form a*u + n and give a.\nAnswer: 1806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 2*i + 4 = 0, 2*i - 16 = -2*g - 0*g. Suppose 0 = 2*f + 5*y - 4 - 2, f + y = g. Which is bigger: 5\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, 257 in increasing order.\nAnswer: -3, 5, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from araaraa. Give prob of sequence ara.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22991229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -3*o - 2, -5*o - 5*a - 6 = -o. Let x be (25\/(-2))\/(o + 18\/4). Calculate the common denominator of -47\/20 and (x\/(-150))\/((-190)\/(-78)).\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 154 - 149. Suppose -2*n = -v + 21. Let p(k) = -k - 8. Give p(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*v**5 - 3309*v**3 + 89533*v**2 wrt v.\nAnswer: -540*v**2 - 19854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.169, -1, 1\/11, -0.05?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -207377*i**5 + 147602*i**2?\nAnswer: -12442620*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -247139 + 247135 = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -47 - -45. Let g be (58 - 2)*q*(-1 - 0). Suppose -h = 3*y - 170, -h + 3*y + 34 = -g. What are the prime factors of h?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4) - sqrt(196)*-4)\/(-3*(sqrt(2) + sqrt(12)\/sqrt(6))).\nAnswer: -29*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 543.3 - 544.2533. Round p to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -9193, -17819, -25317, -31123, -34673, -35403, -32749?\n\"Answer: 94*p**3 - 9284*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**3 + 3*d**2 + 9. Calculate n(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.6, -5, 0.25, -3, 2\/209?\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1181 - -247441.\nAnswer: 248622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes before 2:47 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeeeeeeeaaeaaeeaaa. Give prob of picking 2 e.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 144156 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10055 * 0.1.\nAnswer: -1005.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4524 - 31?\nAnswer: 4453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15\/16*882\/(-315)?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8751528 and 788.\nAnswer: 8751528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/5 - (-8793)\/(-4620). Let x = 3\/44 - n. Calculate the common denominator of ((-198)\/36)\/((-10)\/14) and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 + (-1 - -1) + -1. Is (g\/(-3))\/(4\/(-844)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 - 7*x**2 + 2*x + 6. Let z(s) = s**3 - 9*s**2 + 2*s + 5. Let u(n) = 3*q(n) - 2*z(n). Suppose 5*p - 28 + 8 = 0. What is the tens digit of u(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00336947 to five dps.\nAnswer: 0.00337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -15254, -15667, -16080?\n\"Answer: -413*c - 14841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18930, 18934, 18932, 18918, 18886, 18830?\nAnswer: 18744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -2*c - 3. Let u = 0 - 6. Suppose 2*y = -2*y + 40. Suppose 0 = -2*h + 3*h - y. Let d(k) = -3*k - 5. Determine h*s(o) + u*d(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -177259 divided by 10427\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the third derivative of -1\/75*t**5 + 0*t + 0 - 1\/10*t**4 + 61*t**2 - 4\/15*t**3. Determine q, given that x(q) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = b + 18. Sort b, 4, -1 in ascending order.\nAnswer: b, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + 132b?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -2*o**2 - o - 2. Let m(k) = -8*k**2 - 5*k - 7. Give -2*m(r) + 9*v(r).\nAnswer: -2*r**2 + r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (22\/8 - 3)*(-312)\/13. Solve -2*u - c = -x - 5, 3*u = -3*x - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2 + 260764*m - 10433760.\nAnswer: 2*(m - 40)*(m + 130422)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30 + 35 + 3*r**3 - 9 + 11.\nAnswer: 3*r**3 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 36432 by -176.\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2720\/(-3740)*825\/(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39604, -39610, -39618, -39628, -39640, -39654?\nAnswer: -39670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**3 - 2*w**4 + w**3 + (-6*w**3 + 4*w**3 + 3*w**3)*(w - 4*w + 0*w) + 26*w**3 - 54*w**3 + w**4 + 26*w**3.\nAnswer: -4*w**4 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) -4\/11  (c) 5123  (d) 0  (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -490 - -489.022. Let j = 0.97801294 + f. What is j rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 11*(-200)\/(-12)*12. Round m to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6 - -2) + (-2 - -5) + -755. Let l = -524 - f. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*v - v. Let l(f) = -4*f - 1. Let n be l(-1). Suppose n*w = -3*m + 39, 0 = -m - 5*w + 16 - v. Calculate the remainder when m is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5)\/(-1) - (-1 + 0). Let h(q) = 3*q**2 - 2*q + 2. Let p(a) = -16*a**2 + 11*a - 11. Let v(y) = b*p(y) + 33*h(y). Factor v(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 7 - 9 - -7 - (2 + -11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -3*s, -46*s + 2404 = -3*l + 2174 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and 31232?\nAnswer: 31232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10)\/35 + 32\/14. What is the second derivative of -4 - m*l + 3*l**2 + 5 - 1 wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 61 - 8*l**2 - 71 - 2*l + 6*l. Let o be t(3). Is o >= -70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1766 + 1765.5. Let g = -15\/11 + 138\/77. Which is the third biggest value?  (a) t  (b) -3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18112\/(-566)*(-6)\/(-6)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 30241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j - 4. Suppose -12 - 3 = 3*n. Let g be w(n). Let q = 28 + g. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 245*g**2 - 214*g + 1569. What is the ten thousands digit of q(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -30c?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1209 times -325\nAnswer: -392925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fffdmjjfdj. Give prob of sequence fm.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 177452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -10  (b) 0.08  (c) -2  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19994, 40007, 60020, 80033?\nAnswer: 100046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -42551, -85119, -127687, -170255, -212823, -255391?\nAnswer: -297959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -591*g**2 + 8*g + 11. Let t be q(-7). Let w be 14\/35 + t\/10. Let u = w + 11683\/4. What is the common denominator of -17\/3 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1008 and 560.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(272) + (sqrt(272) - (sqrt(272) - (1*sqrt(272)*1 - sqrt(272)))))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19169231?\nAnswer: 277, 69203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -44061*l**2 - 91826*l wrt l.\nAnswer: -88122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 33.60351 rounded to one dp?\nAnswer: 33.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-20)\/(b*b\/b**10))\/(b\/b**(-1\/6))**(6\/11))**(-3) assuming b is positive.\nAnswer: b**(417\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -4*i**3 - 440*i**2 + 4801*i + 118. What is g(-120)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 251\/2 - 125. Factor m - s**2 + 7\/4*s.\nAnswer: -(s - 2)*(4*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/(-1) - 5\/(-5). Let h be ((-1)\/(-3))\/(3\/54). Let g(v) = -v**3 - v**2 + 1. Let o(y) = 4*y**3 + 3*y**2 + y - 3. Determine h*g(r) + s*o(r).\nAnswer: 2*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of -5 + 1\/2*c**2 + 2*c. Calculate u(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/100*100\/20\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 3 - 7. Let j(f) = -2*f**u + 9*f**2 - 3*f**2. Let p(y) = y. Determine p(j(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 724945*u**3*z**2 + 2*u**3*z + 1093757*u**3 - 39*u**2*z**3 + 8*u*z wrt z?\nAnswer: 1449890*u**3 - 234*u**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 48 and 393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*a - 2*m + 12, -5*a - 21 = -12*m + 11*m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -4265952 less than 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1255747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 + 14 - -3)\/2. Suppose g - 7 = h. Let y(o) = -o**3 + 7*o**2 + 8*o + 1. What is the remainder when y(7) is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 220\/1833 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6153*j - 6469*j + 2844 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1972 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10 by 27.\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.044029 plus 6751?\nAnswer: 6750.955971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 9, l: 9}. What is prob of sequence lbll?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*((-3)\/(-2) - 3). What is the tens digit of 41\/3 + (-2)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 255, 274, 313, 378, 475, 610, 789?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(204) + ((sqrt(204) - -1*sqrt(204)) + sqrt(204) - sqrt(204)))\/sqrt(12)*3 - (sqrt(2448)*1*-3 + 1 + sqrt(2448) + -2)**2.\nAnswer: -9793 - 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 26793304 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-3) + (-2050)\/(-15). Let g = l - 1505\/11. What is the second smallest value in g, 5, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 10*b**3 + 9*b**2 + 2*b + 2. Let o(n) = 9*n**3 + 8*n**2 + 3*n + 3. Let v(s) = -3*c(s) + 2*o(s). Find the third derivative of v(w) wrt w.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 3.6. Let s = i - 2.6. Let o = 0 + 0. Is o greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3363 or -3365?\nAnswer: -3365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 12080, 24152, 36224, 48296?\n\"Answer: 12072*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 16*(-1 - (-4)\/2). Let n = i - -73. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -164 - -171. Suppose 0 = 3*g + o*g - 60. Suppose k - 10 = 1. What is the smallest common multiple of g and k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 12, s: 3, t: 2}. Give prob of picking 1 u and 1 t.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -55 minus -0.06?\nAnswer: -54.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -a**3*h - 2939*a**3*w + 3738*a**2*h - 2*h*w + w wrt w?\nAnswer: -2939*a**3 - 2*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s**2 + 3*s**2 - 2*s**3)*(0 + 6*s - 4 - 4*s).\nAnswer: -4*s**4 + 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 269 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i**4 - 10938*i**3 + 1862121*i**2 - 1829292*i - 3702348 = 0. What is i?\nAnswer: -3809, -1, 2, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.87364 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.96405 weeks to nanoseconds.\nAnswer: 2397457440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*j - 196 + 1066 = 0. Let b be (4\/6)\/((-6)\/(-279)). Let o = j - b. Put 2, -1, o in decreasing order.\nAnswer: 2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.3 + 2.44. Let m = u + 2. Round m to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the third derivative of k**4\/6 + k**2. Suppose x = 6*x. Let u(q) = q**2 + q + 5. Let r be u(x). Let i(m) = 3*m. What is r*d(w) - 6*i(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together -430.84 and -2.\nAnswer: -432.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1970)\/(-55) + 4\/22. Suppose 11 - u = 5*t. Let v = t + 48. What is the remainder when v is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 4*h**2 + h - 1. Let m(d) = 0*d**2 - 7*d**2 + 5*d + d**3 + 124 - 112. Let i be m(6). Let x(u) = 3*u**2 + u - 1. Calculate i*x(r) - 5*q(r).\nAnswer: -2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 - 7*h**2 + 11*h - 3. Let x be r(5). What is the first derivative of 24*w**2 - 46*w**x + 18 + 24*w**2 wrt w?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (28 - 21) + 2*-2. Solve 5*t + 16 = -m, 0 = s*m + 2*m + 2*t - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 1483596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + 2*v + 0*v)*(v - v + 9*v + (5*v - 5*v - 2*v)*(-4 - 3 + 5) + v - v - 2*v + (-v - 1 + 1)*(1 + 1 - 3) + 3 - 3 + 2*v).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttcmrcc. Give prob of picking 2 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q - 8. Let y be (0 - 0)*(-2 + 3). Suppose -5*a = 2*b - 3*b - 31, -4*b + 3*a - 39 = y. Give u(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 11, 1193 in decreasing order.\nAnswer: 1193, 11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 a, and 1 c when three letters picked without replacement from cacqqvaqvq.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/(c\/((c*c**(2\/7))\/c))*c**(-1\/3)*c**1*c**4*(((c**(-2\/5)\/c)\/c)\/c)**(2\/53)\/(c*c**(-1\/3)*c*c*c**2) assuming c is positive.\nAnswer: c**(292\/1855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1229, -2442, -3655, -4868?\nAnswer: -6081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 4a8 (base 13) to base 6\nAnswer: 3434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1792227 is divided by 641?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15922*w**2 + 1 - 15700*w**2 - 2*w - 1 to l*w**2 + r*w + m and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4*((-3)\/(-6) - 0). Let b(u) = -u**2 + 3 + u**2 + 4*u**3 + u**2 + u**m - 2*u. List the prime factors of b(2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 2*c**3 + c - 1. Let m be y(1). Solve -3 - m = -x, r = -3*x + 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1323031200 (base 4) to base 2\nAnswer: 1111011001101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 2 f, and 1 s when four letters picked without replacement from zjsjff.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23 + 279. Suppose 2*q + 2*m + 2*m - k = 0, 0 = q - 3*m - 171. Let v = q + -56. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 u when three letters picked without replacement from uhuj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -3*s + 320. Calculate the remainder when 3 + (-3)\/((-6)\/s) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 20488128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 125 and 32500.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -436 - -1804. What is the highest common divisor of i and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 33033 and 2110797.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 185\/4354  (b) 0.4  (c) 19\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*v + 3*f + 100, 4*v - 133 + 23 = f - 18 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 90056461?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(120\/10)*-18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45127 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25 - -2) + 5 - (-23 - -17)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from adaaydxdady. Give prob of picking 3 d.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k. Let q(h) be the first derivative of -7*h**2\/2 + 13. What is q(z(c))?\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 173 a factor of 16608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/140 and 19\/560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.3 and -501123.\nAnswer: -501123.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 40545.357 - 40525. Round w to 0 dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1363 and 0.06.\nAnswer: -1362.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 388 and 14.\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*b + 31*b**3 + 6*b - 32*b**3 - 77*b + 47*b**3 + 77*b + (0*b - 2*b + b)*(-b**2 - b**2 + b**2) + 0*b + b**3 + 0*b.\nAnswer: 48*b**3 + 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3288700 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/77888 and -133\/7302.\nAnswer: 233664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*z - 5*z = -79*z - 244 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6887694 and 31704.\nAnswer: 27550776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25 - 25. Suppose z = -5*w + 4275 + 36225. What is w rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 3 = 5*v - 2, 2*q - 6 = -2*v. Let x be (1\/v)\/((-4)\/(-8)). Solve 4 = 3*a - m + x, 0 = 3*a + 4*m - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(90)\/(-4*sqrt(36)\/sqrt(4)))\/((sqrt(20) + -2*sqrt(20))\/sqrt(4) - sqrt(5) - -1*sqrt(125)) + 1)**2.\nAnswer: sqrt(2) + 3\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/8)\/(10\/(680\/6))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 5*c - 2, -4*q + 5*c = -15 - 7. Suppose 0 = 3*z - q - 1. Is 132\/18 - (-2)\/z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/3*(-3)\/16*8. Let d = -1 - -4. Which is the closest to 24?  (a) d  (b) z  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 20 - 22. Let u be 1 - (0 + -3 - b). Let r = 130 + -126. What is the closest to -0.01 in u, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 68\/10*419\/((-1438846)\/(-6060))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 + 13*a**2 + 3*a - 3. Let c be q(-6). Suppose 0*z - d = 2*z + c, 143 = -z + 5*d. Let s = z + 592\/5. Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 98\nAnswer: -3\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ksemkexkwsksmexmm. What is prob of sequence kxem?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*w + 8*w - 2*w)*(8 + 9 - 2) + 2*w + 0*w + 0*w)*(-3 + 1 + 4)*(5*w**4 - 3*w**4 - 3*w**4).\nAnswer: -274*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 - 6. Let r(s) be the first derivative of -2 + 0*s**4 + 0*s**2 - 2\/5*s**q + 2\/3*s**3 + 0*s. What is the third derivative of r(f) wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 73 - 13. Let i = 29 + -21. Calculate the remainder when (-70)\/(-4)*f\/35 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.47 in -0.009, 0, -83\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 768467?\nAnswer: 7, 15683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 36 = 5*j. Let f = j - 13. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11100000000110 (base 2) to base 4\nAnswer: -3200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 10:16 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3*t + 3)*(6 - 2 - 2) + 0 + 3*t + 0 - 4*t + 3 - 3 + (-1 + 4 - 2)*(-5*t + 4*t + 3*t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-23 - (-168168)\/(-4950)) + 57?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 50.36 - 5729\nAnswer: -5678.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 3*l**2 - 3*l + 8. Let c be k(-4). Suppose 15 = -c*x + 55. Calculate the least common multiple of 79 and x.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8*49\/15190)\/((-19)\/(380\/24)).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2 + 21*d + 74. Let z be y(21). Solve -39 + z = 7*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2436.509 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -47*t**2 + 129*t**2 + 19*t**2 + 14*t + 37 - 53*t**2 - 50*t**2. Determine v(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -145410 divided by -393.\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -2*o**4\/19 + 134*o**3\/19 + 6510*o**2\/19 - 117350*o\/19 + 21500 = 0.\nAnswer: -43, 5, 10, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3890 - 3800. What is the smallest common multiple of 54 and b?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -294, -592, -890, -1188?\nAnswer: -1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9\/(-12) - (2 - (7 + -4)). Let a be -1 + (-10)\/(-8) - 0. Suppose 1\/2 + g*j - a*j**2 = 0. Calculate j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14.5 - -14. Let j = -2 + 2.1. Let s = 1 + -5. Put s, j, r in ascending order.\nAnswer: s, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3 + 5*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 16 = -4*u - 1, 0 = -g - 5*u + 21. Let c(r) = -2*r**3 - r**2 - r + 1. Give c(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 + 3 - 22*l + 11.\nAnswer: -22*l + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 6, o: 4, g: 2}. What is prob of sequence gg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 549.672 litres?\nAnswer: 549672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1674, -1669, -1664, -1659, -1654?\nAnswer: -1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -2*p**2\/15 - 34*p\/15 + 76\/15 = 0.\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 26971462 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 275952 is divided by 415?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133) + (sqrt(133) - (sqrt(133) + 2*-2*sqrt(133))))\/(-2*sqrt(7)*-5).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttd when three letters picked without replacement from ddtdtdttdd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/10)\/(4\/(-38) + 975\/11970)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + -3967273?\nAnswer: -3967276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-22320)\/(-282))\/(-20) + 4?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 - x**2 - 7*x - 13. Let v be n(-6). What is the greatest common divisor of 152 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (78 - 33) + -52 - (1 - 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 183*c - 95*c - 91*c.\nAnswer: -3*c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 31*w**3 - w**2 + 1. Let i be p(1). Suppose -619 - 676 = 35*h. Let d = h + i. Let t(q) = q**2 + 9*q + 5. What is t(d)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2551.057138 - -13719.4\nAnswer: 11168.342862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3373754 to the power of 1\/2, to the nearest integer?\nAnswer: 1837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-15)\/20 + (-3)\/(-4). Suppose 4*x - 32 - 88 = k. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, 10, -63?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 81ad1 - 3?\nAnswer: 81acc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - p = 279, -17*p + 164 = -3*n - 21*p. Let g = -22 + -33. Is n <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -24 - -4 - (-91 + (13 - (8 + 44)))?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 AM and 2:12 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -5645, -11698, -18519, -26492, -36001?\n\"Answer: -64*k**3 - 5605*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2 - 9*a + 0*a + 3*a + 5*a.\nAnswer: -a*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 667 divide 10256072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yaaf when four letters picked without replacement from aafyaayfyyaaa?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express p**4 + 4*p**4 - 4*p**4 + (-3 + 5*p + 3)*(-p + 6*p**3 + p) in the form j*p + k*p**4 + c*p**2 + a + f*p**3 and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*f**3 - 15*f + 15*f + (f**2 + 1 - 1)*(0*f - 2*f + 3*f))*(-4 + 2 + 3).\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/(-4))\/((-27)\/5616). Let p = t - -108. Which is greater: -4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6241.005m in micrometers?\nAnswer: 6241005000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -10*y**2 + 50*y - 301. Let i(d) = -3*d**2 + 17*d - 93. Let m(s) = -4*a(s) + 13*i(s). Give m(4).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**6\/(x\/(x*(x**(-8)\/x)\/x))*(x*(x*x**(-1\/4)\/x)\/x)**42 assuming x is positive.\nAnswer: x**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/2 and -139\/1896?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20683 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 7*b**2. Let w(z) = -2*z - 61. Give w(v(h)).\nAnswer: -14*h**2 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of -2*o**7\/7 - o**6\/6 - 343*o**4\/6 - 2*o + 200. Find the third derivative of s(v) wrt v.\nAnswer: -720*v**2 - 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 767.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 390, -549, -3098, -8061, -16242?\nAnswer: -28445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 613839020?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(121)\/(sqrt(11)*-3 + sqrt(11)) + 2)**2.\nAnswer: -27 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6.04 + -6. Let j = t - 0.04. Let i = -62 + 311\/5. Which is the biggest value?  (a) 5  (b) i  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*j**3 + 2*j**3 - 10*j**3)*(5 - 3 + 2)*(2 + 1 - 5) as q*j + r + l*j**2 + x*j**3 and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 + v**2 + 2*v - 1. Let l be k(2). Let x be (33\/(-3) - l)*-1. Let j = x - -80. What is j rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000003787194 to seven decimal places.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/3 and -43\/1664118?\nAnswer: 1664118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 9*u - 72. Suppose 2*z + 20 + 20 = 3*t, -z = 2. Calculate the lowest common multiple of u and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 55*l + 3. Let q(m) = 4*m**2. Determine o(q(y)).\nAnswer: 220*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -31 (base 13) to base 2\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 34091 = 3*k, -74*k + 71*k + 34107 = 3*w. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 206341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 0.2, 3, -671\/2, 2\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 83 + 37. Let n = 32 + g. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18044, -21682, -27750, -36254, -47200?\nAnswer: -60594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4876994150.\nAnswer: 2, 5, 7, 13934269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*-5*(-1)\/((-20)\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1907081 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**2 + 24*t + 128. Let o be q(-19). Let p(h) be the second derivative of 3*h**5\/20 - h**2 + 2*h. Let i(j) = -48*j**3 + 33. Determine o*p(k) + 2*i(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + 3. Let n = 1.76 + 0.24. What is the nearest to -1 in d, n, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 331190560 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 573 minutes after 5:49 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 - 5 + 4)*(-2*t + 5*t - 2*t) + (24*t + 31*t - 20*t)*(-1 + 2 - 2))*(11 + 0*t + t - 17) to a*t**2 + z*t + h and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t**4 - 17*t**4 + 0*t**4)*(4*t - 6*t + 0*t).\nAnswer: 40*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*k**3 + 135*k + k**4 - 101*k + 12*k + (0 + 2*k**2 + 0)*(0*k**2 - 3*k**2 + k**2) to the form a*k + q + z*k**2 + s*k**4 + i*k**3 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 573 = 3*g, f - 6*g - 572 = -2*g. Suppose 0 = -16*u + 12*u + f. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 - 14*d**2 - 69*d - 2. Let b(t) = t**2 + t. Let q(p) = 4*b(p) - g(p). What is q(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 45128375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -112002 + 2220112?\nAnswer: 2101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 169 and 7054736?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23115184 is divided by 502504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -4*b**5\/3 - 97*b**4\/3 + 316*b**3\/3 + 517*b**2\/3 + 36*b = 0.\nAnswer: -27, -1, -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (-2)\/(-8) - (-5)\/(-20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 0.1, 2459.6, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/1850491 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 15 - 154741?\nAnswer: -154726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/5 - 222*f\/5 - 224\/5.\nAnswer: 2*(f - 112)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*t = 17*t + 3*o - 12, 0 = 4*t - 4*o + 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11.0365881113 - 0.0365878313. Let p = 0.2 - 11.2. Let m = p + z. Round m to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 74, -64 in decreasing order.\nAnswer: 74, 5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 AM and 10:30 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1233 and 66321?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*t**3 + 75*t - 75*t + (3*t - 3*t - 2*t**3)*(2 - 6 + 2) in the form z*t**2 + d*t + r*t**3 + j and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2664763 is divided by 666188?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 4*f = 278208, f + 560773 = 5*a + 213007. What is the ten thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -62 + 499\/8. Which is the smallest value?  (a) 0.1  (b) 2\/7  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18427949 divided by -7.\nAnswer: 18427949\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34 + -42. Let u = 62 + s. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 764?  (a) 0.0467  (b) 0  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 18*k**4\/7 - 762*k**3\/7 + 242*k**2\/7 + 418*k\/7 + 12 = 0.\nAnswer: -1\/3, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -x**4 - 19926*x**2 + 88*x - 13.\nAnswer: -12*x**2 - 39852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1585*a + 32*a**3 - 15300*a + 31635*a**2 - 31599*a**2 wrt a.\nAnswer: 192*a + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 383136143 a multiple of 1229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**3 + 15*z**2 - 21*z - 80. What is d(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 - b**2 + 7*b - 4. Let o be h(5). Suppose 318*f - 61771 = 41*f. Let d = o + f. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2. Let q(g) = -g**2. Let a(u) = 4*p(u) - 3*q(u). Let w(k) = -17*k. Let c(f) = 17*f. Let h(l) = -4*c(l) - 5*w(l). Determine h(a(s)).\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70) + -1*3*sqrt(70) + sqrt(70))\/(sqrt(160)*2) - ((sqrt(343) - 1*sqrt(343)) + 4 + -3 + -3*sqrt(343)))**2.\nAnswer: -167*sqrt(7)\/4 + 195287\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of -o**4\/4 - o**2\/2 + o + 7. Let g(l) = -l**2 - 9*l. Let k be g(-9). Give p(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 582.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 2) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3*h + 44331 = 0, y + 22169 = 2*y - 5*h. Suppose 0 = -p + 4*a + 97071 + y, 119230 = p + a. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 4) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 45417, 45411, 45405?\n\"Answer: -6*v + 45423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -585*y**3 + 4195*y**3 + 692*y**3.\nAnswer: 4302*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1037)\/(-3660)*(-120)\/(-1275)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 234 = -a - 222, -5*a + 8 = -2*g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 6417574, 6417579, 6417584, 6417589?\n\"Answer: 5*t + 6417569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o - o**2 + 3*o + (32 - 44 - 35)*(7*o**2 - 2*o**2 - 4*o**2))*(2*o**2 - 2*o**2 - 4*o**2 - 3*o**2 + 4*o**2 - 3*o**2 + (2*o + 2*o - 5*o)*(o - 1 + 1)).\nAnswer: 336*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of 33*l**4\/4 + 29*l. Let r(n) = -2*n. What is t(r(j))?\nAnswer: 396*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-9)\/(-2))\/(3\/4). Calculate the smallest common multiple of 18 and (-1)\/((-2)\/y)*44\/33.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*m**2 - 3*m**2 - 1 - 9*m**2 - 12*m**3 + m + 15*m**3 to x*m + o + z*m**2 + f*m**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -7473636.\nAnswer: -1\/2491212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 + -6605.191.\nAnswer: -6606.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 439?  (a) -0.3  (b) 0  (c) -1.1  (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0.16, 3, -1 in descending order.\nAnswer: 5, 3, 0.16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7070 + 14786. List the prime factors of m.\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -146?  (a) 16  (b) -43\/5  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + (-1 - -1*20). Suppose -2*g - 5*o = -v, -g + 0 = -3*o + 13. Let w(q) = 12*q**2 - q. Determine w(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 + 2*s. Let l be p(-2). Suppose l = -2*m - 0*m + 38. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 9) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1267 (base 8) to base 14.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mep when three letters picked without replacement from pmuupeuplveev.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o + 2. Let a be l(1). Let y(v) = v**2 - 1. Let m be y(a). Find h, given that -13*h**2 - m + 9*h**2 + 6*h + 4*h**2 + 2*h**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3103, 3045, 2861, 2479, 1827, 833?\n\"Answer: -12*r**3 + 9*r**2 - r + 3107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 164*z**2 - 36*z + 202. What are the prime factors of b(10)?\nAnswer: 2, 3, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 737058?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 595420 and 16076340?\nAnswer: 16076340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -3*g - 11. Let y(p) = 21*p + 78. Let k(d) = 15*j(d) + 2*y(d). Let a be k(-4). Solve -n = -a*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes before 10:50 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -6310*p - 252410. Give d(-40).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 553 divided by 122\nAnswer: 553\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 2*h**4\/15 + 404*h**3\/15 + 3422*h**2\/5 - 1238552*h\/15 - 2605624\/3 = 0?\nAnswer: -119, -10, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*v**3 - 5*v + 355351 - 710703 + 355353.\nAnswer: 16*v**3 - 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 507 + 1. What are the prime factors of q?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29 + (46 - -18 - 58)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + -110?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.88726 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5112.999989256 - -5113. Round g to 7 dps.\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.3 - -1.7. What is the biggest value in q, -3, -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.08 times -0.4?\nAnswer: 0.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 139404*f**4 - 145*f**2 - 80256311 wrt f?\nAnswer: 557616*f**3 - 290*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(3\/2)*n)**(3\/14)\/(((n\/(n*n**(-14\/3)))\/n)\/n*n)**(-20) assuming n is positive.\nAnswer: n**(6205\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 4037934734 - 0.25514\nAnswer: 4037934733.74486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -2 - 6, -3*s = 4*f - 148. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 4 + ((-2 + sqrt(242))**2 - sqrt(242))*-3*1)*-2.\nAnswer: -330*sqrt(2) + 1470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8 and 6468628.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 573*f**4 + 565*f**4 + 27 + 35 - 2*f**3 - 1133*f**4 + 6*f**2 to the form k*f**4 + g*f + b*f**2 + t*f**3 + n and give n.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 3*u - 2. Let b(j) = 15*j + 9. Let h(k) = 8*k + 5. Let z(n) = -6*b(n) + 11*h(n). Let i(l) = -3*t(l) - 4*z(l). Calculate i(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17 + -29. Let l be (j\/(-9) - 2)*6. Calculate the remainder when 35 is divided by (-1)\/l - (-47)\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 31 in -0.7, -1486, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8933*t**3 - 81 - 8914*t**3 + 17854*t**3 + 81.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -18257498.4 to the nearest one hundred thousand.\nAnswer: -18300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3671*k**3*p**3*v - k**2*p**3*v + 7*k*p**3*v - 136*k*p**3 - 4*p**2*v wrt k?\nAnswer: -22026*k*p**3*v - 2*p**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 6*i**5\/7 + 12*i**4\/7 - 12*i**2\/7 - 6*i\/7 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(-3)*10\/(-70).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000006903 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of -k**4\/8 + 17*k**3\/6 + 35*k**2. Let a be u(5). Suppose -a*z + 534 = 4*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 749 - 79. Suppose -2*f = -f + n. Round f to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 - -6. Let m = -3 - n. Let j be -2 + m\/((-8)\/22). Let l(w) = -2*w + 17. Let z(r) = r - 8. What is j*z(k) - 6*l(k)?\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 5676983*p**3 + 1 - 5676991*p**3 + 11353975*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14908*b + 302 = 14606*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 8\/99  (b) 0  (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 408331 is divided by 2595?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-8) - 18\/24. Let k = 2 - 5. Let a = -6 - -1. Sort a, b, k in descending order.\nAnswer: b, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2\/(-6))\/(8 + (-219)\/27). Solve 3*p + 3*m = -s - 6, m + 15 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -2\/121, 44, 2\/7?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:39 AM and 7:22 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13.6 - -14. Let k = -0.1 + s. What is the nearest to -5 in 3, k, 3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 106740652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(6\/11)*g**(-1))\/(g**(3\/10)*(g\/((g**(1\/7)*g*g)\/g))\/g) assuming g is positive.\nAnswer: g**(299\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = m - 4. Let p = -85 - m. List the prime factors of 34\/51 + p\/(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (231\/(-28) - -8)\/(2\/(-584)) is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-4))\/(159\/318).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7761 - 7763. Which is greater: -48\/71 or b?\nAnswer: -48\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 1 = 8. Let c(v) be the third derivative of -v**2 + 1\/24*v**4 + 0*v + 0 + 0*v**3. Calculate c(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1262 by -631.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 r when three letters picked without replacement from {q: 1, r: 2, p: 1, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, 4, 7, -2 in descending order.\nAnswer: 7, 4, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/(-15)*3)\/(1\/5). Suppose -q - v = 0, 0*v = -w*q + 4*v - 16. Does 20 divide (-10 - -14)\/(q\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w + 0 + 0)*(-46*w**2 - 72*w**2 - 72*w**2) + 6*w**3 + 22*w**3 - 2*w**3 + 4*w**2 - 4*w**2 + 2*w**3.\nAnswer: 218*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 5) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -234 + 240. Calculate the lowest common multiple of 63 and h.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 87278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -221 + 224. Which is the nearest to -0.1?  (a) 1  (b) k  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1171, -2312, -3681, -5278?\nAnswer: -7103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 + 2*v**2 + 4. Let t be 10\/(-15)*3*8\/1. Let o = -19 - t. Calculate d(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10069882163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-108))\/(10\/15)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 3 = 3*r + r, -g - 12 = -5*r. Let o be 3\/4*(5 + -21). Let w = -5 - o. What is the remainder when w is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 + -3. Let g = 82 - 79. Solve -8 = 2*b + a, -g*b + 14 = -2*b - j*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the second derivative of 1\/6*h**4 + 5\/6*h**3 - 2*h + 2*h**2 + 0. Let l(r) be the first derivative of x(r). Find the first derivative of l(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1604, 1607, 1610?\n\"Answer: 3*y + 1601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11010110 (base 2) in base 16?\nAnswer: d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of p**4\/18 - 25*p**3\/18 - 13*p**2\/6 + 73*p - 3. What is v in o(v) = 0?\nAnswer: -1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 - 527?\nAnswer: -527.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*a**4 + 28*a**3 + 32*a**2 - 28*a - 30 = 0. What is a?\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 4*v - 15. Let j(a) = 5*a - 16. Let u(r) = -5*j(r) + 6*z(r). Let g(i) = -294*i + 2347. Let k be g(8). Determine u(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 70, 375, 892, 1615, 2538?\nAnswer: 3655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from zrrzr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.1 + -2.6. Let q = -12.178 - -10.67746. Let c = q - j. What is c rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -281.87 + 279. Let a = 1.07 - 0.94. Let q = a - o. What is the closest to -1 in 5, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -18*w**2 + 8667*w + 92987. What is p(492)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.047, -1\/11, -5 in decreasing order.\nAnswer: -0.047, -1\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -307, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 6\/5, 3\/17 in decreasing order.\nAnswer: 6\/5, 3\/17, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -286080 by -4768.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -6\/5 - 3\/5*z + 33*z**2 = 0.\nAnswer: -2\/11, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5613217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 2 - (0 + 0 - 6) - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -47*q - 323 + 323 + 1 - 1 - q + (-2 - 3 + 3)*(2*q + 0 + 0) - 5*q + 6*q - 4*q.\nAnswer: -55*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 2*w**2 + 3*w - 2. Let q be r(-3). Let u(k) = -k**2 + 9*k - 9. What are the prime factors of u(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of 4\/5*m**5 + 0*m + 14 + 4\/3*m**3 + 0*m**2 + 2*m**4. Factor t(p).\nAnswer: 4*p**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 3*v**3 + 10*v**2 - 12*v - 9. Let r(a) = 7*a**3 + 21*a**2 - 24*a - 17. Let k(u) = 5*h(u) - 2*r(u). List the prime factors of k(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = 4*h, 5*g + 3*h + 42 = 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3*(2 + (-2)\/2) + -3. Let l be (h - 0) + (-13 + 8 - -13). Find u such that 0*u + 2\/7 - 2\/7*u**l = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26*(-21)\/((-1701)\/(-81))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90.06134 centuries in decades?\nAnswer: 900.6134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 32363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**3 + 9*m**2 + 11*m + 21. Let f be w(-7). Calculate the highest common factor of f and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6114 is divided by 380?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/(-1) - -4) + -2. Let f(h) = -h - 34. Let b be f(w). Let s = 50 + b. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 + 4*f**2 + 2*f - 1. Give m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 4*o - 518, -4*j + 4*o + 811 = 111. What is the smallest common multiple of 406 and j?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(-2)*v)**(-4\/9)\/(v**(-1)*v)**(-7\/8))**(-13\/5) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-7 - 417\/(-15))\/((-6)\/183345). Let l = t + 154596. Round l to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 138150 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1547 + -828. What are the prime factors of m?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 111 - 31 = 5*x, 3*a = -2*x + 227. Calculate the highest common factor of 30 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -4\/28799, -6\/29, -13?\nAnswer: -4\/28799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange r**4 + 3 + 34*r**3 - 5*r**4 - 1 - 4*r - 31*r**3 to the form m*r**4 + t + n*r**3 + b*r**2 + h*r and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 5*j - 290 = 0. Let s = -116 + j. Let c = 32 - s. What is c rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 2*u**2 - 5*u - 5. What is the tens digit of k(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-23)\/(1173\/(-34)))\/((-1)\/(18\/21))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73*r = -76*r + 12, 71*s - 2*r = 134 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3058798843 to the power of 1\/3, to the nearest integer?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -184537217, -184537216, -184537215, -184537214, -184537213?\n\"Answer: t - 184537218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00828756 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88 + -174 + 27 - -112.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/17  (b) -3  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f**2 + 1 + 4*f - 1 + 1 - 3*f. What is the least common multiple of 7 and p(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -4*h - 4, 3*a - 8 = 2*h - 1. Let b(j) = -j**3 + 3*j**2 + 5*j - 1. Let m be b(4). Sort -3, m, a.\nAnswer: -3, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 1 - 1 - (3 + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from {c: 12, i: 7}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -144 divided by -12061\nAnswer: 144\/12061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -141457365 + 29*d - 23*d + 141457365.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3243, -6479, -9713, -12945, -16175, -19403, -22629?\nAnswer: -25853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (7 - -4) + (41 - 35)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c - c + 2*c)*(0 + 3*c + 0) + (6*c**2 - c**2 - 3*c**2)*(-3 + 1 + 4) + (2 - 8 - 4)*(-5*c + 5*c + 2*c**2).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -2*l**2 - l - 1. Let h be y(-1). Let t be h\/7 - (-48)\/21. Let g(x) = 2*x**2 + 4*x - 3. Let a be g(2). Solve -a = -5*o + t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*h - 3*h + 6*h - 20 + 5*h.\nAnswer: 12*h - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2*w**2 - 2*w + 2*w. Let s(f) = 70*f + 42. Let x(t) = t + 1. Let c(j) = -s(j) + 42*x(j). Determine u(c(h)).\nAnswer: -1568*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 146 + -143. What is the nearest to 1\/4 in 2, 7, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9 and 2259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 15\/5 - 1*-8. Let q = 35 - x. Let o be (-24)\/(-20)*(-5)\/(-1). What is the highest common factor of o and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 47 - 53. Let j be (21\/u)\/(-2*(-2)\/56). Let q = -23 - j. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 3157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 2 = 3*i. Calculate the least common multiple of 4 and 1 - (-8)\/(i + 2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -104*y - 1 = -103*y. Suppose 0 = -a - 5, 0 = -3*o - 2*a + 6 + 2. Let c(s) = -2*s - o*s - 5*s. Calculate c(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 104, 205, 324, 467, 640, 849?\nAnswer: 1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2655000 rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r + 0*r - r)*(-1 - 1 + 4) + (2 - 1 - 4)*(-r + 2 - 2).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 4 = -2*l, -2*l + 5 = 3*l. Let w be -15*((f - 2) + 2). Calculate the greatest common divisor of w and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -58263888.925819962 - -1877.925741962. Let b = o + 58261952. Let g = b + 59. What is g rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 291 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -3*w**4 + 657*w**3 + 4797*w**2 - 11553*w + 6102 = 0?\nAnswer: -9, 1, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9.9614 + -0.05501.\nAnswer: 9.90639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*t**4 + 3*t**3 + 5448*t**2 + 48499*t.\nAnswer: -24*t**2 + 18*t + 10896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - k = 3*k + 20, -20 = 2*v + 3*k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*c**2 - 7816208 + 66*c + 7816208.\nAnswer: 2*c**2 + 66*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-22)\/121 - (-2)\/11. Let x(l) = -l**2 - l + 2. Let d be x(0). Let w(g) = d*g + 6*g + 6 + 5*g**2 - g**3 - 5 + z*g**3. Calculate w(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -3, 0, 160, 2 in descending order.\nAnswer: 160, 2, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2872 times 2.52?\nAnswer: 7237.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 32329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**4 - 24*l**3 - 2*l**4 - 238*l**5 + 241*l**5 - 36*l**2.\nAnswer: 3*l**2*(l - 3)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10111111100001 (base 2) in base 14?\nAnswer: 4677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -78, 25 in decreasing order.\nAnswer: 25, -7, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*5*((0 + sqrt(175) - sqrt(175)) + -4 - (sqrt(175) + 1 + -5)))**2.\nAnswer: 4375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 0*f**4 + 72*f**2 + 2*f**4 + 2*f - 3*f - 73*f**2 as i*f + x + r*f**4 + h*f**2 + u*f**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(1\/3)\/l**6)\/((l*(l*l\/(l**(-1\/4)*l)*l)\/l)\/l**(-2\/3)))**(-4\/3) assuming l is positive.\nAnswer: l**(103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13 + -13. Suppose c = -3*s - s + 4. Let q be (2 + 0)*s\/(-2). Is q bigger than -2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -99548?\nAnswer: 19909.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 183 + -95. Suppose -101 = -7*f + m. Sort 2, 5, f in decreasing order.\nAnswer: f, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 202740 to the nearest one thousand.\nAnswer: 203000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 65282781 divided by 4261\nAnswer: 15321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 + 0.219?\nAnswer: 0.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tjyvtvyvvvvvjxvxtjy. Give prob of picking 1 y, 1 v, 1 t, and 1 x.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -38 + 40. Suppose -h*r + 3 = -k, 5 - 15 = 2*k - 5*r. Let i(c) = k*c - 45 + 31 + 23. Let w(f) = 2*f + 4. Calculate -4*i(p) + 9*w(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**4 + 0*o + 0*o + 4 - 4 + o**4 + (2*o**2 + 3*o - 3*o)*(-o**2 + 3*o**2 - o**2) + 357*o**2 - 3*o**4 - 356*o**2 - 6*o**4 + 16*o**4 + o**4 + 6*o**4.\nAnswer: 15*o**4 + o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lml when three letters picked without replacement from {l: 11, m: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7c - -43fc2?\nAnswer: 43f46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 18 + 94865*w - 6767*w - 28.\nAnswer: 88098*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*t - 1 + 1)*(6 - 1 - 3).\nAnswer: 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*s**2 + 0 + 0)*(-4 + 4 + 5*s**2) + (-s**3 - 3*s**3 + 3*s**3)*(-2*s - s + 4*s).\nAnswer: 29*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4335827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 572025 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00017627 to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 49614 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 21 + -15. Let j(i) = 3*i**3 + 2*i**2 - 3*i + 19. Let v be j(a). Suppose -121 + v = 6*g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1a4 - -569?\nAnswer: 72d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -6072.7 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -24.49 and 0.09627.\nAnswer: -2.3576523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7.8 and -1.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1\/69639 - -46421\/348195. Let d = -5 + 4.7. Which is the nearest to -1?  (a) d  (b) 0  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*c**5 + 4*c**4 - 1327*c**3 - 853*c**2 - 408?\nAnswer: -420*c**2 + 96*c - 7962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + -1040c59?\nAnswer: -1040c60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 125056 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 + 6*l**2 + 9*l - 8. Let i be y(7). Let w(b) = -b**3 + 5*b**2 + 5*b + 8. What is the units digit of w(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*4\/(-8)*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 7122, 12921, 18720?\n\"Answer: 5799*m + 1323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24518756?\nAnswer: 2, 79, 77591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - (-3 + 6 - -30) - -8) + -9.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 120, 146, 194, 258, 332?\n\"Answer: -g**3 + 17*g**2 - 18*g + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129510973?\nAnswer: 19, 6816367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -7) + -32 + 24 - (-16 - 2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 11*s - 10. Let y be q(5). Suppose y = 5*w - 10*w. Let h(v) = v**2 + 2*v + 5. What is the tens digit of h(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 164 - 19 = 0. Calculate the remainder when z is divided by (25 + -27)*((1 - (9 + 2)) + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96332 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 + 2*j**2 + 2*j + 2. Let r be x(-2). Let h = 1.7 + -1.3. Let d = 3.4 - h. Which is the second biggest value?  (a) 0.2  (b) r  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k - 222*k**3 + 219*k**3 + k. Calculate r(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of -g**4\/6 - 11*g**3\/3 - g**2\/2 + 4*g + 8. Let q be b(-11). Which is greater: q or 3\/68?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -468*x**4 + 0*x**3 - 5*x**3 + 32*x**2 + 496*x**4 + 4*x**3 wrt x?\nAnswer: 672*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 227556410 + 4152?\nAnswer: 227560562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2672929 divided by 421.\nAnswer: 6349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/2950 and -53\/1115.\nAnswer: 657850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6086*p**4 + 823*p.\nAnswer: -73032*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.068 + 23.068. Let g = 22.8 - n. What is the nearest to 0 in -4, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + q + 8. Suppose -5*w - 83 = -4*j, q*w + 29 = j - 0*w. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102412 (base 8) to base 9.\nAnswer: -51642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24636 and 11478?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 + -2. Let z = 0.065 - 4.065. Which is the third smallest value?  (a) z  (b) t  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/368957537 and -67\/104.\nAnswer: 2951660296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -2*o**4\/19 + 144*o**3\/19 - 136*o**2 - 576*o\/19 + 10368\/19 = 0.\nAnswer: -2, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2156*j - 2160*j + 53740 = 5*w, -2*j + 42986 = 4*w. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12.81 - 10.81. What is the closest to -3\/37 in a, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (2\/(-1))\/((-8)\/36) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -51135 + 1?\nAnswer: -51134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 319103173 to the power of 1\/3, to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-8))\/((-28)\/(-480)). Let p = -26 - -21. Which is bigger: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13612765 or -1\/20?\nAnswer: -13612765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10358408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 150 and 16301325?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -22 divided by 2887\nAnswer: -22\/2887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 370\/1680 - 10\/105.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33692489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 + -2. Let u = 258 + -228.6. Let v = -29 + u. What is the biggest value in 0.2, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = x, 0 = q - 2*x - 1 - 1. Let p(i) = i**2 - i + 2. Let s be p(0). Put 5, q, s in increasing order.\nAnswer: q, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/9, 662, 0.1, -6\/13, -9, -0.01, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -51\/2, -0.4, 1, 0, -4, -3 in descending order.\nAnswer: 1, 0, -0.4, -3, -4, -51\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 108666 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1467317 - -1?\nAnswer: 1467318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 428 * 0.86.\nAnswer: 368.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 2*u - 16. Suppose -4*l = u, -11 - 13 = -a + 2*l. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1789 - 0.5.\nAnswer: -1789.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 PM and 9:08 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2.8 in -5\/2, -2\/7, -1, -1\/34, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 4*d**2 - 31*d + 74. What is the remainder when 550 is divided by g(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -93451\/16 + 5843. Calculate the common denominator of -97\/14 and k.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 + 6*w**2 + 4*w - 5. Let x be m(5). Let o(n) = 10*n. Let t be o(3). Suppose -3*l = t - 78. Calculate the highest common factor of x and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or -0.394378?\nAnswer: -0.394378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*p**2 - 2*p - 70 + 22 - 3*p**2 + 28 in the form l*p**2 + a + n*p and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - a - 4, -t - 8 = -56*a + 59*a. What is the third smallest value in 0.3, -41\/15, t, -1\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -324, 0.1, -5, -2.7, -6\/37?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3 - 217\/(-8) - (-6)\/(-48) and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2299069 or 2299072?\nAnswer: 2299069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -93d0 + 7?\nAnswer: -93c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 194147937 by 6.\nAnswer: 64715979\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1574)\/3*(-189)\/126. Let i = n + -450. List the prime factors of i.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20479, -82849, -187093, -333211?\nAnswer: -521203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19734*a**2 + 9905*a**2 + 9829*a**2 - 2*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 12*o**3 + 3*o - 169 + 169 - 3*o**2. Let n(r) = -r**3 + r**2 - r. Determine 2*j(k) + 6*n(k).\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -55\/449, -5, 1\/4, -4, -24 in ascending order.\nAnswer: -24, -5, -4, -55\/449, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1426380809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gqef when four letters picked without replacement from zgqeequf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.01 and -18406.\nAnswer: -184.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/o**(-6))\/o)\/(o**(-2\/29)\/o*o))**(-1\/22) assuming o is positive.\nAnswer: o**(-8\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 420749 is divided by 2984?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q - 2*q + 5*q)*(2*q + 0*q + 0*q) + 0*q**2 - 4*q**2 + 3*q**2 + (q - 5*q + q)*(-q + 0*q + 0*q) + 10*q**2 + 63*q - 230*q - 4 + 169*q.\nAnswer: 16*q**2 + 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 - s + 1. Suppose 7*j = 3*j - 160. Let z = -39 - j. Let n be (0 - z)\/((-17)\/34). Let o(u) = -1. Give n*t(h) + 3*o(h).\nAnswer: -2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4554625*v**5 - 18746*v - 73?\nAnswer: 91092500*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 88*a - 289 + 25. Suppose 14\/13*r - 32\/13*r**a - 2\/13 - 16\/13*r**2 = 0. What is r?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ldddddldddddddlddl. Give prob of sequence dldd.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -188 + 58*f**2 + 73*f**2 + f - 105*f**2 wrt f.\nAnswer: 52*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 2 = -4. Suppose -2*p + 0 - f = 0. Let i be p - ((-42)\/10)\/3. Is i at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 169634?\nAnswer: 2, 89, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*n**2 + 2971267*n + 12326974 wrt n?\nAnswer: 6*n + 2971267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2257232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ijz when three letters picked without replacement from {z: 2, j: 2, i: 11}?\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -366 - -1300?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36 and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 + 0. Suppose 4*a - r*k = 160, k + 2 = -3. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**3 + 12*v**2 - 10*v - 8. Let p be c(11). Suppose -104 = -2*n + 4*q, -4*q = -2*n + p*n - 64. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 71366125*b**2 + 2*b + 141993962.\nAnswer: 142732250*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40253015885 - q**2 - 40253015885.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 57109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -17*c**2 + 1. Calculate j(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = j + 6, -51 = 2*j + 5*v - 15. Factor 4\/9*b + 1\/9*b**j + 1\/3.\nAnswer: (b + 1)*(b + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 58*v - 1. Let c be i(5). Let m = 407 - c. Suppose -5*g + m = 8. What is the least common multiple of g and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-72)\/28)\/9)\/((-162)\/3528*-7).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/(-12) + 2 + 21\/9. Suppose 4*s + v*w - 88 = 79, -3*w = 3. Does 43 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 5 = 3*c + 2*l, 0 = c + 5*l + 7. Suppose 0 = -u + c*u. Solve u = -2*f - 6 - 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t + 1. Let p be w(-2). What is the third derivative of -7*d**3 + p*d**2 + 4*d**2 - 2*d**2 wrt d?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hcnn when four letters picked without replacement from nnphcvjpphppc?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 3*d - 15. Let b(l) be the third derivative of -l**5\/60 + 52*l**2. Determine p(b(m)).\nAnswer: -3*m**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -12*a**3 + 2*a**2 + 2*a + 1. Let q be i(-1). Suppose 7 = -o + q. Suppose o + 6*d - d**2 - 16 - 2*d**2 + 7 = 0. What is d?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3239 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(100)\/(sqrt(490)*-3))\/(-2*sqrt(18) + sqrt(2) + sqrt(4)\/sqrt(8)).\nAnswer: 2*sqrt(5)\/189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 200.\nAnswer: -1\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add 7134 and 30945306.\nAnswer: 30952440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2141 - 12?\nAnswer: -2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -175 = -50*d + 43*d. Let q be (64\/240)\/((-2)\/d*3). Is q equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17)*3*-4*-1 + 1*-1*sqrt(612).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times -0.07\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*y + 1227*y - 4810*y - 3156*y as j + w*y and give w.\nAnswer: -6735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -z**2\/2 - 7*z = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/(27\/(-21) - (-4)\/14). Solve 7*q = 8*q + z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + 331312211?\nAnswer: 331312201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 253 - 20. Suppose -11*d + 53 + x = 0. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4  (b) -93  (c) -19\/13  (d) 0.1  (e) -1  (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 31 + -18 + -6 + 4 + 27\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*o**2 - 2*o**2 + 2*o + 0*o - 22*o**3.\nAnswer: -22*o**3 - 19*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*d - 119 = 2*d. What is the first derivative of d*n + 4 + 19*n + 4 wrt n?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 462 and 7733348.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/2 - (3 - 2). What is the units digit of (j\/10)\/(2\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2000617 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 PM and 3:29 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1 + 23265*h**2 - 23799*h**2 + 103*h + 1 + 177*h wrt h?\nAnswer: -1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3381820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 - 19*n**2 + 12*n + 686. What is q(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1483.027 + -1480. Let k = 0.027 - w. Which is the nearest to 1\/4?  (a) -0.09  (b) -2\/9  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1276 + 461 - 248 - 536 - 1205)*(10*t - t - t) - 3 + 3 + 2*t.\nAnswer: -22430*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the second derivative of 21\/2*r**2 + 55*r + 0 + 7\/10*r**5 + 0*r**3 + 1\/12*r**4. What is the third derivative of p(j) wrt j?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 2*z + 150 = 0, 2*f - 16 = -2*z + 56. Calculate the remainder when f is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((2*sqrt(152))\/sqrt(8)*2)**2 + (1 + (sqrt(19) - (sqrt(133)*-1)\/sqrt(7)) + sqrt(19) + sqrt(19) + sqrt(19))*-4.\nAnswer: -20*sqrt(19) + 1516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -63*p + 2*p - 45*p + (p - 3*p + 3*p)*(7 - 12 + 18) as z + k*p and give k.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 AM and 8:22 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 348\/18 - 2\/(-3) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -4*p - 504, -4*p + 0*p + 2*m - 486 = 0. Let j = p + 121. Suppose 2*h + 9 = -h. Is h bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100011 - 100100101110001101?\nAnswer: -100100101101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3624 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -20993*j**2 - 28*j**4 + 86*j**6 - 21057*j**2 + 50032*j**2 wrt j?\nAnswer: 10320*j**3 - 672*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 37 - 25. Suppose -25 = -5*b, -10*b - 30 = -5*t - 13*b. Sort t, 5, m in descending order.\nAnswer: 5, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 460 and 2415.\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -9. Let t = 306 - 310.96. Let h = -0.04 + t. What is the smallest value in h, q, -1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 106680046 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/5 + 44\/(-20). Let z be (-16)\/(-6)*(72\/p)\/(-6). Is 26 a factor of z\/64 - 3\/((-12)\/103)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 2*q + 12. Let l be w(-6). What is the tens digit of 1\/(-1 - l) + 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 - (0 + 1)) + 3 + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 40\/6*((-55)\/(-20) - 2). Solve -n + 0 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**4\/5 - 1298*h**3\/5 + 5036*h**2\/5 + 36232*h = 0. What is h?\nAnswer: -10, 0, 14, 1294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -56 + 155. Calculate the greatest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 688, 683, 674, 661, 644, 623?\n\"Answer: -2*l**2 + l + 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 106, 258, 482, 760, 1074, 1406?\n\"Answer: -3*k**3 + 54*k**2 + 11*k + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 divided by -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -5*j**3 - 7*j**2 - 5*j - 6. Let t(y) = 6*y**3 + 7*y**2 + 6*y + 5. Let d(p) = 5*i(p) + 4*t(p). Give d(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7808 and 4814242.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 775, 802, 839, 886, 943, 1010?\nAnswer: 1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*a**4 + 406*a - 2*a**3 + 3 - 201*a - 203*a in the form w + b*a**4 + z*a + v*a**3 + y*a**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (3\/2)\/(51\/748) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37465865 to the power of 1\/2, to the nearest integer?\nAnswer: 6121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 3 - 4)*(0 + 3 - 2)*(19 - 21 + 4*t - 2*t + (-1 - 3 + 2)*(t + 3*t - 2*t))*(-2 - t**3 + 2) as v*t**3 + c + i*t**2 + k*t + o*t**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 141104 (base 5) to base 3.\nAnswer: 21221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.11 + 0.11. Put s, -1, -0.1, -0.02 in descending order.\nAnswer: -0.02, -0.1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1436718 (base 9) to base 16.\nAnswer: c16d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 8. Suppose -1 = -2*c + 5. Solve c*q - l = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -13*z + 10*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of -23\/12*r**4 - 1\/60*r**6 + 0*r + 15*r**2 + 7\/60*r**5 + 0 + 0*r**3. Find the second derivative of j(y) wrt y.\nAnswer: -12*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/4*-2 - -4. Let p(j) = 2*j + j - 8*j + j**2. Calculate p(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 291*b**2 + 3*b - 283*b**2 - 3*b.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*h**3 + h**3 + h**3)*(3 + 3*h - 3)*(3 + 2*h - 3).\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -26 - -57. Suppose 9 = 5*d - 5*n - 11, 0 = d + 5*n - 10. Suppose -7*w - 2*g = -2*w, s = 3*w - d*g. Solve -z = -3*o - 11, -3*z + 21 = -o - w*o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*a = -20 + 29 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, 2, 117\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.10594 rounded to 2 decimal places?\nAnswer: -4.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 9:53 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 2*z - 7, 5*z - 11 = -t + 2*t. Which is the closest to t?  (a) -2  (b) 0.1  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 2 s when four letters picked without replacement from sssssqqqqsqssqnsssq.\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2172266 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5904081 and 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-84)\/272)\/(30\/(-6400)). Which is smaller: 67 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 - -38956368?\nAnswer: 38956365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1\/10)\/(y\/(y*y*y*y*y**6)))\/(y**1)**(-32))**(-2\/15) assuming y is positive.\nAnswer: y**(-409\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*j + 128710 - 127928 = 0 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a - 4. Let q(c) = 5*c - 9. Give -14*h(z) + 6*q(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*s - 61*s - 55*s + 261*s - 68*s.\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1407 or -1602?\nAnswer: -1602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/((-3)\/(-26))*78\/156. Suppose 8*v - 86667 = -m*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -2 + 3 - 2*o**3 + 0 + o**2 - 3. Let q(h) = 2*h**3 - h**2 + 2. Determine -3*i(s) - 4*q(s).\nAnswer: -2*s**3 + s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 38 and 608?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 83465205514 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 321, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 77 + -1a50?\nAnswer: -1984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 + -16 + -12 - (2 + 0 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 258908 divided by -1532.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*g + 3. Suppose 5*y = g*u + 5621, 2*u - u = -3*y - 2805. Let d = u - -28127\/10. What is the common denominator of 34\/3 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -106.6*-1.3.\nAnswer: 138.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 21769980847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.03061 and -68289?\nAnswer: 2090.32629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -4*a**5 - 28*a**4 + 276*a**3 - 468*a**2 = 0.\nAnswer: -13, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 67 - 62. Let c(s) = -2*s - 9. Let o be c(-6). Let p = o + w. Calculate the greatest common factor of p and 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of 7*b**3 + 56. Let x(z) = z**2. Give d(x(g)).\nAnswer: 21*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j**2 + 2*j**4 - 2*j**2)*(6 - 3 - 1)*(65 + 636 - 113).\nAnswer: 2352*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -2*p. Suppose 2 = -2*m + 6. Let t(r) = r**2 - 9*r**m + 3*r**2 - 3*r**2. Determine s(t(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*m - 24*m + 5*d + 30 = 0, -m + 4*d = 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 5498.641 kilograms?\nAnswer: 5498641000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.05 - 1.95. Which is the second smallest value?  (a) -0.01  (b) -1\/2  (c) -5  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -285833, -286394, -286955, -287516?\nAnswer: -288077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(2\/9)*o)\/o)\/o*o\/((o\/(o*o*o**(-1))*o)\/o))\/(((o*o\/((o*o**(2\/39)\/o*o)\/o))\/o)\/(o*o*(o**27\/o)\/o*o*o*o*o)) assuming o is positive.\nAnswer: o**(3542\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 1, -66.1, -4, 7 in descending order.\nAnswer: 7, 1, 0.1, -4, -66.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.44 - 0.4. Let o = -11 - -16. Which is the nearest to -1?  (a) o  (b) 2\/3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in four fifteenths of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -184*a**2*o**3 + 9*a**2*o**2 - 789*a**2 - 23*a*o**3 + a*o**2 - 2*a*o + 9*o**3 wrt o?\nAnswer: -1104*a**2 - 138*a + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*n**3 + n**3 + 0*n**3)*(15*n + 2 - 2)*(6 + 2 - 2) as v*n**3 + i*n**4 + l + o*n**2 + r*n and give i.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/(-25))\/(12\/20)*(-738)\/984?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v**3 + 5*v**3 + 0*v**3 - 546*v - v**3 + 3*v**2.\nAnswer: v**3 + 3*v**2 - 546*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 5 + 3 - 42*q**2 + 36*q**2 + q to c*q**2 + h*q + r and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 471*s = 1625*s + 718*s - 14976 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6964.\nAnswer: 2, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w. Let u(k) = 27 - 41 - 11*k + 28. Determine p(u(t)).\nAnswer: -22*t + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110 + -110100100101010111111011001?\nAnswer: -110100100101010111111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1342, 1373, 1404, 1435, 1466, 1497?\nAnswer: 1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((8 - 369\/45) + 174\/(-630))*6?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + -1000?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -5*o - 6. Let s(k) = -5*k - 6. Let q(w) = -4*l(w) + 5*s(w). Let j(t) = -14*t - 17. Determine -4*j(v) + 11*q(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1389616229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1128570 by 1128570.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 787120.6 millilitres to litres.\nAnswer: 787.1206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = 5*s - 3*h - 23, 2*h = -2*s - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 2*c - 16, -2*u - 26 = -3*u - 4*c. What is the tens digit of (-420)\/(-8) + (-3)\/u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 3*j - 4. What is the tens digit of (j + 30)\/(3\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s + 1 - 1)*(34 - 148 - 111).\nAnswer: 225*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + (3 + 0)\/(3\/35). What is the units digit of (h - -1)*(-1)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 31666 in 0.4, 1\/4, -5, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 76935, 76950, 76965?\n\"Answer: 15*u + 76920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 + 6*w**2 + 2*w - 1. Let z(n) = -2*n + 3. Let l be z(4). Determine r(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the second derivative of -271*m**6\/30 + m**4\/12 + 16*m**3\/3 - 22*m - 2. What is the third derivative of i(y) wrt y?\nAnswer: -6504*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b0d (base 15) in base 3?\nAnswer: 10102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*g**3 + 2 - 6*g**4 + 4*g - 6*g + 2*g**4 + 6*g**4 to the form l*g**4 + i*g**2 + r*g + v + h*g**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from alaaxlallxalalal. What is prob of picking 3 a and 1 x?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48692 is divided by 2713?\nAnswer: 2571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5473.56 - -81.56. Let c = z - -5395.081. Round c to one dp.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26624 + 2*p - 26624.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 45\/(-6)*4\/(-5). Let o be m\/27 - 75\/(-27). Let l(z) = o*z + 2*z - 4*z. Let b(t) = t. Give b(l(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of h**4\/4 - 4*h**3\/3 - h**2 + 12*h - 4. Let n be l(5). Solve 4*b - o + n = 4*o, 5*b + 27 = 4*o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 19911, 31906, 43903, 55902?\n\"Answer: q**2 + 11992*q + 7918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17 + -11. Suppose 2*r - 5*g = -9, r + 4*r = 3*g + h. Suppose -120 = -3*y - r*i, -4*y + 114 = -4*i - 46. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -6*p**2 + 3. Let k = -201 - -203. Let s(b) = -5*b**2 + 2. Determine k*o(j) - 3*s(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21609, 20543, 19477, 18411, 17345, 16279?\nAnswer: 15213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 - 22*z + 32. Give a(15).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 21752749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w - 4 = 4*w, 0 = -m + 18*w - 68 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -438 + 2*k - 18*k - 10*k - 18*k + 439.\nAnswer: -44*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f**3 + 51*f**2 - 25*f + 11. Calculate v(25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l = -24*l + 72 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 150 a factor of 6038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 310 or 1546\/5?\nAnswer: 1546\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - 5*t - 54940, -2*j + 0*t - 4*t = -22006. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -1 + -9 + 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q = -0*q - 1092. Determine n so that q*n**2 - 78*n**2 - 92*n**2 + 4*n + 4*n + 4*n**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = -2*v - 18, -5*j - 3*v = 28 - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 11*k**2 + 5*k + 4. Suppose 0 = 3*w + g + 2, -3*w - g = 4*g - 14. What is the remainder when 150 is divided by c(w)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2  (b) 0.07  (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*d = -57*d - 907 - 1793. Which is bigger: d or -527\/19?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -3.5888\nAnswer: 3.5888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 0 + 12. Suppose -3*r + 2*t + a = -5*r, 4*r = 3*t + 23. Solve y - 3 = -r*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 3*c - 3. Let r(t) be the first derivative of -7*t**3\/3 - 25*t**2\/2 + 4*t + 242. Let s be r(-4). Determine u(s).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1098?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 divided by -41?\nAnswer: -15\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-3 + sqrt(180) - sqrt(180))**2 - (sqrt(1125) + 1)*-2) + 4.\nAnswer: 15 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dvv when three letters picked without replacement from {d: 5, f: 1, v: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*i + 31 = -33. Let c be (((-12)\/9)\/i)\/(-1). Let a be (5\/60)\/(2\/4). Sort c, 2\/9, a in ascending order.\nAnswer: a, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of 8*o**7\/21 + o**5\/10 - 5*o**4\/3 + 140*o. Find the third derivative of b(m) wrt m.\nAnswer: 960*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 9, 4, -15, -54, -119, -216, -351, -530?\n\"Answer: -a**3 - a**2 + 5*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((21\/(-28))\/(810\/1440*(-2)\/(-3)))\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 4 = -4*f, -5*a + 30 - 7 = -f. Solve 16 = -4*d - a*y, d - 4 = 4*y - y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 2642 = 4*p - 709, -2*p + m = -1683. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 2*y + 20, 4*n - 3*y + 2*y + 16 = 0. Let v = 56804 + -56806. What is the closest to -6\/5 in -0.2, n, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of 1\/4*r**4 + 1 + 2*r - r**2 + r**3. Let b be o(-3). Solve 0*k + 20 = -5*q + k, b = -2*q + k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 3*m**2 - 9*m - 9. Let o be y(4). Solve 8*c - 10 = o*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 160 divide 14635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + -2. What is the least common multiple of 5 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122322101330 (base 4) in base 10?\nAnswer: 7054460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 58\/(-6) - (-3)\/(-9). Let r = v - -15. Suppose -r*p + 21 = -9. Solve h + 0*n + 4*n - p = 0, -n + 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 104416 is divided by 1258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of -k**7\/2415 + 4*k**6\/345 - 21*k**5\/230 - 4*k**4\/69 + 64*k**3\/69 + 644*k**2. Determine j, given that p(j) = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40982535.\nAnswer: 3, 5, 11, 82793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -4, -2, -114, 3, -7, 5 in decreasing order.\nAnswer: 5, 3, -2, -4, -7, -11, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 8*w + 27. Let q(g) = -31*g - 121. Let l(c) = -9*n(c) - 2*q(c). Determine l(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g + 3*g**2 + 6*g**2 - 7 + 0 + 9*g**2 - 17*g**2. Determine x(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2408\/58627 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5 - 9\/(-12)*-4. Let d = 9 - -7. Solve -22 = 5*u - 2*p, -4*p = l*u - 5*u - d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*p - 640*p - 1741*p to the form w*p + o and give w.\nAnswer: -2401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2972 and 3364.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1932, -1960, -1988, -2016, -2044, -2072?\n\"Answer: -28*z - 1904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 407951.\nAnswer: 23, 17737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 0 - q + 0)*(-6*q + q + 4*q)*(-8*q**2 - 463 + 663 + 186) in the form p + i*q + u*q**2 + j*q**4 + s*q**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**3 + 9*b**2 - 3*b - 1. Let p(o) = o**2 - o. Let j(h) = -5*p(h) + v(h). Determine j(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2 - 13*h - 2. Let j(c) = -c. Let t(r) = r + 8. Let y be t(-9). Let s(v) = y*k(v) + 3*j(v). Is s(9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -20*i - 1. Let b(f) = 20*f + 1. Let j(z) = 4*b(z) + 3*u(z). Let d(n) = -100*n - 6. Let r(l) = 2*d(l) + 11*j(l). Is r(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5\/((-600)\/(-2627156)) + -1. Let u = h + -21887. What is the common denominator of -123\/10 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 9*o - 4*o - 2*o. Let l(z) = 2*z + z**2 - 2*z. Calculate l(n(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 29 = 2*q. Let g = q + -12. Suppose -5 = -2*z + 13. What is the smallest common multiple of g and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/6555 and -127\/17480.\nAnswer: 52440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 34538185 to the power of 1\/2, to the nearest integer?\nAnswer: 5877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -4*c - 15, 0 = -c - 0*d + 3*d + 9. Let w = 3 - c. Solve -f = -5*m - 18, -m - m - 3*f = -w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -103 and -959438.\nAnswer: 98822114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o + 3 - o**2 - 1 + 2 - 12*o. Is 3 a factor of r(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 25*p + 74. Let g be z(-3). Let i(m) = -6*m - 11. Let v(r) = -4*r - 7. Let x(t) = 5*i(t) - 8*v(t). Determine x(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1295*t = -943*t + 219*t + 84798 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163932 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 103.7 - 104. Which is the nearest to f?  (a) -4\/5  (b) 4  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -5, -2\/13, 2.8, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b + 1. Let c(p) = -66 + 9 + 56. Determine 4*c(m) + 5*t(m).\nAnswer: -5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3988 + 11968\/3. Suppose 35*o + 20 = 40*o. Factor -16\/3*a**2 + q - o*a.\nAnswer: -4*(a + 1)*(4*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/8 and 24\/(-11) - (-3)\/(-6).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-15*15\/825)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = 4*f - 43. Let k(q) = 257*q**2 + 154. Let p(z) = -86*z**2 - 50. Let u(b) = f*k(b) - 8*p(b). Differentiate u(i) with respect to i.\nAnswer: -166*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9370 - -262307\/28. Find the common denominator of d and 21\/272.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*z**2 + 41*z**2 + 34*z**2.\nAnswer: 56*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 - 3 = 3*u. Solve -3*y - p = 2*p + 3, u*y - p + 4 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*p - 45*p + 21*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 84036 and 196084.\nAnswer: 588252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - s + 6*s = 1, -f = -2*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - 2.1. Let m = 0.7 - 0.2. Let i = 5.8 + -6.3. Which is the closest to u?  (a) -0.3  (b) m  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-4 + 3 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -2*h**3 - 37*h**2 + 153*h - 19. Let a be s(-22). Sort -7\/37, a, 0 in increasing order.\nAnswer: -7\/37, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 4:05 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 9 - 5)*(25*v**2 + 8*v**2 + 4*v**2 + (-2 - 1 + 0)*(-3*v**2 + 4*v**2 - 3*v**2)).\nAnswer: -344*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -473 + 476. Solve 15 = 2*i + b*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 9\/(54\/12) + 32. Sort 1, -2\/23, l in decreasing order.\nAnswer: l, 1, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (11 - 16 - 1) - (-5 + -13).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 257, 262, 267, 272?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12\/41 or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (40\/6)\/((-52)\/(-39))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f. Let i(x) = 447*x**2. Determine i(h(q)).\nAnswer: 1788*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -5*o**2 - 6. Let a be h(3). Let x = a - -57. Suppose 0 = -3*g - 15, 9*t + 4*g - 6643 = x*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -109912019 and -1721.\nAnswer: -109913740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9350, 9340, 9328, 9314?\nAnswer: 9298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 18166 + -132a?\nAnswer: 16937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 642036, 1284074, 1926112, 2568150, 3210188, 3852226?\n\"Answer: 642038*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 57311, 229257, 515857, 917129, 1433091, 2063761?\nAnswer: 2809157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 26 - 2 = 4*q, -44 = o - 4*q. Is -25 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 33*x**2 - 6*x - 2. Let w = -22 + 15. Is t(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 149027878 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*z + 15*z - 8*z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 3*m - 4. Suppose 0*a = -20*a - 17*a - 7*a. Put m, a, 48 in decreasing order.\nAnswer: 48, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 12 + 0 + -3 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in 2\/15, 2, 1, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3204.461 litres?\nAnswer: 3204461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22)\/(sqrt(33)\/sqrt(3) + sqrt(11)) + sqrt(242) + sqrt(242)*-5)**2.\nAnswer: 7569\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26 + (-5 - -7)*-3 + -5 + 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -743, -48, -7, -14 in descending order.\nAnswer: -7, -14, -48, -743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 + -3. Let n = 7 - 3. Let m = -3.9 + n. Which is the nearest to m?  (a) 1\/2  (b) v  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 45 = -2*o - 5*g, 4*o = 3*g + 32. Let u be (-94)\/(-4) + ((-231)\/14)\/(-11). What is the highest common factor of o and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 46678 = 3*g, k - 4357 = 4*g + 4974. Calculate the smallest common multiple of 9 and k.\nAnswer: 84015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 19225.73 days to milliseconds.\nAnswer: 1661103072000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 35663770151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 19c0 + 159a8?\nAnswer: 17698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 15148 - 5057 = 5*a, -4*g - 3*a + 16206 = 0. What is the remainder when g is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.3 - -0.7. Let o = 0.05 - 0.08. Let q = o - -3.03. What is the third biggest value in q, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -82*p + 249. Let n be x(3). Let d = 1 + 3. Let u be 1\/(-2) - (-2)\/d. Solve 3*r = -2*i - 6, 9 = -n*r - i - u*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -13\/6, -16, 4?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 7, h: 4, v: 1, t: 1}. What is prob of sequence thvr?\nAnswer: 7\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/7032 and -17\/2637.\nAnswer: 21096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -3*k**2. Suppose 13*n + n + 14*n = 0. Let s(f) = n*f**2 - 22*f**2 + 4*f**2. Calculate s(m(p)).\nAnswer: -162*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -29591*m**4*n**2 + 2*m**4 + m**3*n**3 + 971*m**2 + 8*m*n - 301*n**3 wrt m.\nAnswer: -710184*m*n**2 + 48*m + 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 less than -92033639.1?\nAnswer: -92033634.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 3 = -3*w + 9, 0 = 4*w - 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (84 - 179 + 83)*(-2*r + 1 - 1) to q + g*r and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2692 + 4266. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, 3, -5, -1.06176, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 9*g - 10*g - 25, 4*r + 27 = -3*g. Let a be (70\/(-875) - 23\/25)*g. Solve 3*v + 4*f = 6*v + a, -f + 1 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -317.48129*-1\nAnswer: 317.48129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3044 = -150*o + 3081 + 6413 for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*n + 12288197 - 12289857 = 0 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -1339 - 2*m + 0*m + 1339. Let a(l) = -l + 1. Let g(d) = -10*d + 1. Let i(y) = 2*a(y) - g(y). Calculate -2*i(k) - 7*o(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-6) - 66\/90. Are m and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15814*23\nAnswer: 363722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 146283*v**5 + 3652*v**2 - 4.\nAnswer: 8776980*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 28*x - 2. Let z = -73 + 75. What is the remainder when g(z) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 15*z - 13*z. Let q(h) = 2 - h**2 - 2*h - 5 - h**3 + 1. Calculate the lowest common multiple of z and q(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:01 AM and 12:24 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/5 <= 132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 378778, 378769, 378760?\nAnswer: 378751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + (4 - 18) + (5 - 1 - -12).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + -3559693?\nAnswer: -3559695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101110001011011000110010011 + 1?\nAnswer: 11101110001011011000110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 2, 0, -1.4, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 6*l - 5*l = -8, 0 = -3*o + 3*l + 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 745*n - 1476*n - 4309*n + 6824 = -73816 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4872789900 to the nearest integer?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 272157126 a multiple of 633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/631, -0.3, 337, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 700 a factor of 38515400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b - 8, 0 = 2*p - 3*b + 40 + 38. Suppose 9 = 4*a - 11. What is the remainder when ((-56)\/(-70))\/((-2)\/p) is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -418*f - 11. Let a(t) = -2*t + 1. Let p(w) = 22*a(w) + g(w). Is p(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.0280609 - -0.028. What is j rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = -3*k + 130. What is the highest common divisor of 12 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -3. Let y = 10.76623 - -0.09577. Let i = y - -0.138. Which is the closest to p?  (a) i  (b) 0.2  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -448*o**2 + 228*o**2 + 219*o**2 - 19*o in the form b + w*o + a*o**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86950*k - 86854*k + 69488 - 69488.\nAnswer: 96*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/3848 and -53\/65.\nAnswer: 19240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 0*h = -2*h, 0 = 3*k - h + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 99596359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrw when three letters picked without replacement from rrwrrwrr?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 267 is divided by 47.\nAnswer: 32","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 gppdpdpgpddpddd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/6 + 2*102\/(-36).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**3 + 6*n**2 - 8*n + 56. Let q be g(-9). Let w = q + 214. Calculate the remainder when w is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*d + 30*d - 2*v = -852, 2*v = 3*d - 2580. Let h = -813 + d. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -872798, -1745032, -2617264, -3489494, -4361722?\nAnswer: -5233948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 11*c**2 + c**2 + 11*c**3 + 4 - c**2 + 2*c**3. Let o(j) = 7*j**3 + 6*j**2 + 2. Determine 11*o(r) - 6*q(r).\nAnswer: -r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 2*a - 64 = 2*a, 2*f - 3*a - 28 = 0. Suppose 2*c = 3*o, 0*c + 3*c - 17 = -4*o. Solve 5*m - y = o*y - 25, 0 = -4*m - 5*y - f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 6448.544 centimeters?\nAnswer: 64.48544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 16 = 2*o - 0, o + 16 = 4*h. Solve o*r - r - 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0  (b) -2  (c) 1.07  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 111152 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -503545, -503544, -503543, -503542, -503541, -503540?\n\"Answer: l - 503546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 69249 (base 10) to base 13\nAnswer: 2569b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 125*-122963\nAnswer: -15370375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2916185*w**4 - 8400*w**2 + 13*w + 1?\nAnswer: -69988440*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 1669 + 2880*o - 2883*o - 574 in the form y*o + t and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 1  (c) 5  (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 31399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 2\/15  (c) 3  (d) 3\/2  (e) 2695\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 247892576?\nAnswer: 2, 2377, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 40311912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2195a02 (base 11) in base 5?\nAnswer: 1441000214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {x: 1, q: 1, r: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*s - 2*j - 22, 5*s - 461 = 3*j - 432 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 5*s - 40. Let n(d) = -6*d**2 + 19*d + 9 + 6*d - 29*d + d**3. Let k be n(7). Calculate the highest common divisor of k and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 - (2 + 2 + -6). Let y = n + -4. Let g = 0 + y. Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, 13, 4 in descending order.\nAnswer: 13, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o. Let d be t(4). Let k(u) = -9*u**3 + 634*u**2 - 283*u + 210. Let p be k(70). Put p, -2, d, -163 in ascending order.\nAnswer: -163, -2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*h - 4 = -35*h + 2*l, -h + 4*l + 18 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -4 - 10*l**2 + 3*l**2 + 8*l + l**3 - 5. Let t be g(6). What is the greatest common divisor of 33 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -2*y**2 + 11*y + 8. Calculate v(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9593 + -6677. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10 + (168\/(-14))\/2. Let l(f) be the second derivative of -5*f + 0*f**3 + 17\/10*f**5 + 0 + 0*f**2 + 5\/12*f**d. Find the third derivative of l(g) wrt g.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**2*r\/(r\/r**(3\/8)))**(-5\/4) assuming r is positive.\nAnswer: r**(-95\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -5, -4\/677 in decreasing order.\nAnswer: -4\/677, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 63 + -38 + (-18 - (-2 - 4)) - 15\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 - 10*a**2 - 75*a - 196. Give x(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (-12 - (-2 - 5) - -13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.1, -3\/17, 0.2, -34\/15, -3\/7, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2463, -2501, -2537, -2571, -2603, -2633, -2661?\nAnswer: -2687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 833080539 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 - 19*b**2 - 16*b + 39. Let f be r(-18). Let h be (f\/9 + -1)*-3. What is the third derivative of 17*a**2 + 21*a**6 - 3*a**6 - 4*a**h wrt a?\nAnswer: 2160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -23*n**3 - n - 1. Determine h(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 + 64*w**2 - 25*w + 15132. Give t(67).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1975043560?\nAnswer: 2, 5, 7, 7053727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 187 divide 1399833888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13805\/3 + 289874\/63. Calculate the common denominator of h and -79\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-4) + 245\/(-20). Calculate the lowest common multiple of 9 and b\/(2*(-6)\/8).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7995 - 7991. Let l be 4\/(-10)*(-3)\/2. What is the closest to -3\/2 in l, 1\/10, z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 667, 691, 715, 739?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 55632582 to the power of 1\/2, to the nearest integer?\nAnswer: 7459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 132308*m - 349178*m + 112422*m - 553708*m.\nAnswer: -658156*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 38794 and 489.\nAnswer: 116382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - 2*z - 2*z**2)*(112551*z + 7906 + 112550*z - 225102*z).\nAnswer: 2*z**3 - 15812*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 AM and 11:53 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -3*m - 149. Let s(o) = -o. Let v(q) = -f(q) + 2*s(q). What is the least common multiple of 48 and v(3)?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5072 and 297029.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of 143*h**7\/14 - h**6\/10 - 655*h**3\/2 + h + 899. Find the second derivative of d(c) wrt c.\nAnswer: 8580*c**3 - 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -99 divided by 79.\nAnswer: -99\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16579316.\nAnswer: 2, 13, 318833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 412 and 1728?\nAnswer: 177984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/12*(-702)\/(-156)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 = -4*j - c, -2*c + c = j - 7. Suppose -2*n - h - 4*h = -52, 3*n - 88 = -5*h. What is the greatest common divisor of n and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -72*o**3*s**2 + 152*o**3 + 3*s**3 - 1 wrt s.\nAnswer: -144*o**3*s + 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*z**4 + 0*z**4 + z**4 + 1 + (-13*z**2 + 13*z**2 - 3*z**3)*(z - 2*z - 14*z).\nAnswer: 49*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 989670 and 354?\nAnswer: 58390530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -425 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 10*q - 7. List the prime factors of (q - 0)*(209 + 4)*1.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 164831749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -641 - -1379\/2. What is the common denominator of (-41)\/(-2) - (3 + -4 + 0) and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6114 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j**2 - 85*j + 40. Let n be k(42). Let r(z) = z**2 + 2*z + 3. Give r(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 518 = 2*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 + 3*d - 108. Let k be v(9). Suppose 4*s - 5*q - 15 = k, 2*s = -s - 5*q - 15. Solve s*u - 11 = u - 2*p, 0 = 2*u + 4*p - 18 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/8 + 310\/4. What is the units digit of (-12)\/18 + w\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - -336006639.\nAnswer: 336006643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -758184, -1516295, -2274340, -3032319, -3790232?\nAnswer: -4548079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/60 - (-9 - (-407)\/55).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 (base 15) in base 13?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.2 - 0.6. Let z = 48 - 46. Let u = z + -1.8. Which is greater: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a - 66 - 286*a**2 + 21 + 24 + 21 to the form w + u*a + k*a**2 and give k.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, 41, 103, 211, 377, 613, 931, 1343?\nAnswer: 1861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1133 is divided by 100.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jsvj when four letters picked without replacement from {j: 5, v: 2, y: 4, s: 4}?\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -29179.4941 to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2684 and 10053593.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.94 + 0.06. What is the nearest to -2\/13 in l, 2, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*o - 3559 = 985. Suppose -162*c + 24260 = -o*c. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (238\/112*2)\/(29\/58)\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.316 to 1 decimal place.\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.08 - 1472160.\nAnswer: -1472159.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 895 + -885.01. Let m = -10 + f. Which is the second biggest value?  (a) 0  (b) 1  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2850266, 2850252, 2850238?\nAnswer: 2850224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = 0, 15 = -5*i - 6*c + 5*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 + 38*x + 300. What is u(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 6*u + 225 = 4*w, 165 = 3*w + 3*u. Suppose w*o = 82751 - 8701. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (8 - (1 + (5 - 10))) - 24?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -7 from 43.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 17674961 and 4888819.\nAnswer: 229774493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.408 + -0.592. Let i be 4\/(-18) - (-8)\/18. Which is the closest to i?  (a) -3  (b) m  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4282 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19345 - -0.1.\nAnswer: -19344.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*d**2 + 910445 - 910445.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/7, 29, 0.3 in increasing order.\nAnswer: -5\/7, 0.3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + -21. Let a(b) be the third derivative of -b**5\/60 - 2*b**4\/3 + 25*b**3\/6 - 6*b**2. Calculate the lowest common multiple of a(u) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 + ((-1 - -4) + 9 - (-143 - -127)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6.7 + -2.3. Let i = q + 10.2. Let x = i - 0.4. Round x to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*v*y**2 - 111*v*y + 76*v + 1448*y**3 - 1179 wrt y?\nAnswer: 4*v*y - 111*v + 4344*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 106780 rounded to the nearest 1000?\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1940029459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 111 + -105. Let q(d) = -4 - 4 + 7*d - 7 - 15. What is the smallest common multiple of q(h) and 57?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.008, 47, 1\/4 in increasing order.\nAnswer: -0.008, 1\/4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5.2 and -0.781.\nAnswer: -4.0612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.3  (b) 0.2  (c) 2\/555\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 803, 1516, 2107, 2528, 2731, 2668?\nAnswer: 2291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -561644, -561665, -561696, -561737?\nAnswer: -561788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -10\/137 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0896116 equal to -2\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 19930374 a multiple of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 547?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, 13, 5099, -1, -9 in decreasing order.\nAnswer: 5099, 13, 2, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)\/((3*sqrt(77))\/sqrt(7))*4)**2.\nAnswer: 112\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 19 = -3*p, -3*p - 4 + 17 = 5*i. Suppose 15*h - 66 = -p. Solve -4*y + h = -0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x - 2. Let q(h) = -h + 3. Let o(s) = 3*q(s) + 2*y(s). Let f be o(2). Solve f*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22.027 + 0.027. Let n = 22.3 + h. Let o be 0\/2 - 0\/(-2). Which is the biggest value?  (a) o  (b) n  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 3552.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/1155 and ((-2)\/(-3))\/((-240)\/(-972))?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -89*h + 4273. Let g be q(48). What is the smallest value in 1\/6, -9\/5, g, 2\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8) - (1*sqrt(64))\/sqrt(8))\/(3*sqrt(16)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*g - 8*g - 7*g + 2*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 3*n + 22, 0*u + u - 1 = -n. Suppose -78 = -5*s - y, -u*y = -3*y + 4. Suppose 0*h - s = -h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**3 + 618*i**2 - 595*i - 13569. Give x(617).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2627 + -684. Suppose p = x - 216. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77.70165 litres in millilitres?\nAnswer: 77701.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111 - 100010011111101?\nAnswer: -100010011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1944879262?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of -27\/2*c**4 + 2 + 203\/20*c**5 + 0*c**3 + 0*c**2 + 37*c. Find the third derivative of j(z) wrt z.\nAnswer: 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -40\/3?  (a) 0  (b) 0.4  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 4*a - 3. Let u be f(2). Suppose -b + 3*b - 46 = -u*q, 5*b - 10 = -2*q. Is (4\/q)\/((-4)\/(-1660)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -499*b + 541*b - 126 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000005790505 rounded to 7 decimal places?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -20843, -21090, -21517, -22136, -22959, -23998, -25265, -26772?\n\"Answer: -2*z**3 - 78*z**2 + z - 20764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 m when two letters picked without replacement from tmtmmmtmtmtmm?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vbbvbvvbvv. What is prob of picking 3 b?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gfuvxgj. What is prob of sequence xj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36 and 8332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/98, -9.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -9  (b) -1  (c) 0.9  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*q - 10 = 10. Let n(h) be the second derivative of 0*h**6 - 1\/84*h**7 + 1\/20*h**5 + 2*h + 0*h**q + 0 + 0*h**4 - 1\/12*h**3. Solve n(u) = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 8 - 3)*(-2*c**2 - c**2 + c**2) + 3*c**2 - 4*c**2 + 0*c**2 + 4*c**2 - 617*c**2 - 233*c**2 in the form t*c + d + i*c**2 and give i.\nAnswer: -831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-3\/2)*s**(-1)\/s*s**(-3\/2)\/(s\/s**(-5)) assuming s is positive.\nAnswer: s**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/(-45))\/((-224)\/(-40)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -149 - -151. Calculate the remainder when 31 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -3*v + 13, -5*v + 8 + 7 = -5*d. Suppose -9*m - v*m = -65. What is the remainder when 13 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o*o**(-2\/7)*o)\/(o\/o**(-1)*o))\/(o*o\/(o\/(((o*(o\/o**1)\/o)\/o)\/o*o)))**(2\/41))\/((o**(-2\/3))**(-32)*(o**0)**(1\/13)) assuming o is positive.\nAnswer: o**(-454\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -7*g + 2. Suppose -d + 4*l = -13, 10*l + 3 = 9*l. Give k(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gfgf when four letters picked without replacement from ggfgggffgg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-27)\/12*(-320)\/240.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(42)\/(2*sqrt(486)))**2 - (sqrt(77)\/((-1*sqrt(132))\/sqrt(12)))**2).\nAnswer: -1613\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111*u - 114*u - 6*o = -636, -47*o + 51*o = 3*u + 404 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 39657201.\nAnswer: 1\/39657201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 42920\/20 - (-4 - -4 - 6)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - k + 2 + 28 - 5 to m*k + g and give g.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 10522756619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-11\/4)*t)\/t)\/t*t**(-7))\/(t**(-1\/32)*t**(-14)) assuming t is positive.\nAnswer: t**(105\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (0 - (-2 + 3) - 7) + (1151 - 1140)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -6*v + 16. Let m = 0 - v. What is the units digit of ((-2)\/m)\/((-6)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 AM and 5:45 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 6:30 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, -4, -1\/3904.\nAnswer: -4, -1\/5, -1\/3904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 686*s*v**2 + 261668*s*v + s - 562645409*v**2 wrt s?\nAnswer: 686*v**2 + 261668*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5172*u**4 + 2*u**2 + 150*u + 165543 - 165540 + 7988*u**4 wrt u.\nAnswer: 315840*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 4*z - 63299, -63284 = -r + 12*z - 13*z. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -0.4  (b) 2  (c) -1  (d) -1969\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19422698579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -83 + 77. Let q(t) = -5*t**3 + 3*t + 6. Let l(j) = -11*j**3 - j**2 + 6*j + 12. Let h(x) = -6*l(x) + 13*q(x). Determine h(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(77\/14 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-32)\/432*3\/2 and -44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -31 and -620995.4.\nAnswer: -621026.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-5)\/(-3))\/(44\/(-36)*-1) and -19\/62.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3025, 5994, 8923, 11800, 14613, 17350, 19999, 22548?\nAnswer: 24985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 0 + 0)*(223 + 281980\/(-1265)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -46558 + 86596. What is the thousands digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3095 + -3103. Sort t, -4\/7, -3, -0.2.\nAnswer: t, -3, -4\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*k + 2 = -26 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.4 and 356289211.\nAnswer: 356289210.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000106667599 rounded to seven decimal places?\nAnswer: -0.0001067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the first derivative of -35*m**2\/2 + 375. Let j(i) be the first derivative of -i**2\/2 + 4. What is j(w(u))?\nAnswer: 35*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -427*j + 1637. Determine q(4).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 2 - 1)*(2*i - 2*i + i)*(-11*i**3 + 7*i**3 - 8*i**3) in the form c*i**3 + y*i + q*i**4 + o + t*i**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 195683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -32 - 70. Let v = c + 54. Let o = v + 79. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 + x)*(1 - x - 1) - 4*x**2 + 13*x**2 + 5*x**2 + 2*x**2 - 2*x**2 + x**2 in the form p*x**2 + m + n*x and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103154*l = 103245*l - 182 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 10 = 13*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 f when three letters picked without replacement from {w: 2, f: 2, x: 8}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 90?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (z + 2*z - 5*z)*(7*z - 3*z - 3*z) - 2*z - z**2 + 2*z + (-3*z + 2 - 2)*(3 - 2*z - 3) to the form o*z**2 + h*z + a and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q - 3. Let a = 1 + -1. Suppose a = 2*v - 10 - 10. Let d = v + -5. What is n(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u. Let d(j) = -34222 - 2732*j**2 + 34222. Give d(t(y)).\nAnswer: -10928*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 70, -1\/2, -4.1, 4, 5.\nAnswer: -4.1, -1\/2, 4, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 21384075649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {z: 1, n: 3, u: 2, b: 10}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1923678.\nAnswer: 2, 3, 106871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -98 - -120. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24308 (base 13) to base 9\nAnswer: -111105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 11:08 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -2\/35  (b) 287\/362  (c) -0.236\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -41, -52, -63, -74?\n\"Answer: -11*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 767510358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -3959690 divided by -4?\nAnswer: 1979845\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 49648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uhmus. Give prob of picking 1 m and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 24 = 4*g. Let k(c) = -c**2 - 2*c + 1. Let b be k(g). Let n = b + 167. Does 41 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + y + 363 = 3*s, -2*y - 4*s = 176. Is -41 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/11  (b) 0.011  (c) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-68)\/(-18) - 24\/(-108). Suppose o = -t*f + 5*f - 20, 0 = -4*f - 2*o + 50. Suppose -301 = -4*k - 5*g, -g - f = 4*g. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -16*o - 50. Give m(-7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 30 - 22 = 0. Let k be -2*(33\/(-6) + o). Let h(w) = -w - 7. Calculate h(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1126011.\nAnswer: 3, 23, 16319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-23 - (81 + (-2 - 21))) + 24\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 AM and 3:13 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 265 a factor of 57151794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + 1. Calculate the common denominator of (-1492)\/704 + p\/11 and 178\/8*(-2)\/(-11).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 2757.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 159 = 161. Let v(t) = t**2 - t + 1. Let b be v(0). Let f be 2\/(-4)*-3*2. Solve -f*s - b = p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36b0 (base 12) to base 10\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = h + 17, 0 = -0*h + 4*h - 2*p - 2. Suppose m - y = 6, -m + 20 = -4*y + 5. Suppose m*f = 4*v - 70, -2*f + 8 = 2*f. Solve 4*d + h = v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, l: 5, n: 14}. Give prob of picking 2 n.\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 48701561 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.095 - -0.195. Let q = 285 + -286. Which is the closest to -2\/3?  (a) k  (b) -2\/7  (c) 1\/7  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(-1)*-1 + 275 + 4. Let b = f + -239. What is the remainder when 349 is divided by b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7331 - 1?\nAnswer: -7332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*r - 10*r - 7*r + 1 - 1 - 35.\nAnswer: -6*r - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -10 - (460\/138)\/(2\/12)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*d + 3*d + 144 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3449 - -3476. Suppose 1442 = 2*n - 1028. Suppose -2*x - 958 = -4*c - 0*x, -5*c - 5*x + n = 0. What is the remainder when c is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of (3 - 2 - -1)*8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.3 + -3. Which is the nearest to -0.1?  (a) -5  (b) 4  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -0.03  (b) 35  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23 + -48. Let d = q - -35. Calculate the greatest common factor of d and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 75\/4 and 43\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4830 and 11313792.\nAnswer: 56568960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 350\/2275 + 158\/(-13). Let u be 0\/(1\/1) - 0. Let q be 1\/(-2)*u\/z. Solve -b + 0 - 3 = q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 32*v - 34*v, 12*f + 5*v = 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 23*h**3 + 3*h**3 - 12*h**3.\nAnswer: -32*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + 2*f - 1. Let x be w(1). Suppose -x = 2*o - 14. Let l(h) be the first derivative of -h**3\/3 + 2*h**2 + 8*h + 52. What is l(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 - -6. Let p = g - 0.7. Let l = -6.45 + 8.45. Which is the fourth biggest value?  (a) p  (b) 0  (c) l  (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 351 = 5*s - 4*g, g - 201 = 3*s. Let j be (-8)\/s + 20\/(-30). Let a = 0.8 + -0.3. What is the biggest value in a, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -662*x - 1989. What is t(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = -r + 5, 0 = 4*v - 5*r - 6*r - 19 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 - 18. Let x be 1\/(-2) - 8939938*y\/4. Suppose 3*d + 20204643 = x. What is d rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141125 (base 7) in base 15?\nAnswer: 7e32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 93.09928 to the nearest integer.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4270 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 248 + -236. Suppose i*s + 65 = 25*s. Let v(o) = 2*o - 5. Determine v(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 2*h + 5*x, -2*x + x = h - 8. Let w(b) = -31 + h + 22 - b**2. Let m(s) be the second derivative of s**3\/6 - s. Give m(w(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19502 and 4995298?\nAnswer: 2786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 19838449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -1. Let q(v) = -v + 4. Let u(n) = q(n) + 4*s(n). Let z(h) = -160 + 322 - 162 - 69*h**2. Calculate z(u(p)).\nAnswer: -69*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*o - 28*o + 60*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 55859 and 332?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 5 = -0*d. Suppose 0 = -6*i - 2*i + 48. What is the lowest common multiple of d and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 + 10040\/240 + -20.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 a factor of 336174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -3*w. Let z(x) = 3*x**2 + 0*x**2 + 0*x**2. Determine v(z(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 12:09 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 2) + 0 + 2 - 8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 + -5. Let w = 0.4 - 0.2. What is the closest to 0.1 in j, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x. Let g(n) = 0 + 3*n**2 - 1 - 8*n**2 + 8*n + 4*n**2. Let o(h) = g(h) - 3*q(h). Let r = 17 + -12. Determine o(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 32 + -26. Let x be (-1 + g)*(-2)\/(-5). Let f = -260 - -262. Solve 0 - 12 = x*q + 2*y, 0 = -q - f*y - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -229, -186, 361, 1664, 3975, 7546, 12629?\nAnswer: 19476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -9082076 rounded to the nearest 100000?\nAnswer: -9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*w = 16*w. Let z(k) = -3 + 12*k**2 + 14*k**2 + k - 24*k**2. What is z(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12721\/24 + -12689\/24. What is w in 10\/9*w**2 + n*w + 2\/9 = 0?\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 16  (b) -1\/648  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 76871979.\nAnswer: -4\/76871979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 109040  (b) -0.06  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 33 + -33. Let s = z + 47. What is the remainder when s is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2003280145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 44.57045l to millilitres.\nAnswer: 44570.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3524, 3, 2, 9, 5, -12.\nAnswer: -12, 1, 2, 3, 5, 9, 3524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.0950153 kilometers?\nAnswer: 95015300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1233080, -1233076, -1233072, -1233068, -1233064, -1233060?\nAnswer: -1233056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -10175 + 10175 + 2*l - 159*l**2 as n*l + r*l**2 + o and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21\/(-21))\/((-1)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26269 and 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 181*g - 184. Is 12 a factor of a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -12  (b) -0.02  (c) -425\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 69.41821 years in millennia?\nAnswer: 0.06941821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 1:56 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*z - 1. Let c be (z\/5)\/((-3)\/(-1755)*-3). Calculate the highest common factor of 26 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -8 - -155 - 0\/(6\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1\/7 - -3\/7. Suppose 161 = 45*f - 19. What is the nearest to -1 in 10, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26 + -14. Let h be (3\/(-6))\/(1\/q). Is -4 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69290 is divided by 866?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -65 + -111?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -66\/5?  (a) -3\/2  (b) -3  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 1 = -5*a, 2*h = -3*a + 113. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 852 and 1759664.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 + 5*m**2 - 3*m + 21. Calculate g(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-16)\/(-204))\/((-4)\/2). Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 3 = 9. Let v = o + 5. What is the remainder when v is divided by (27\/(-12))\/(3\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4346 is divided by 36.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the third derivative of n**7\/105 + 3*n**5\/20 - 4*n**2. Find the third derivative of g(j) wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 77*w**3 + 57*w**2 - 11*w + 3. Let b(m) = -26*m**3 - 20*m**2 + 4*m - 1. Let x(r) = 17*b(r) + 6*l(r). Calculate x(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12)\/36*0*2\/(-4). Suppose 23*g - 2411 + 548 = n. Calculate the lowest common multiple of g and 180.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 36690 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13.3 - -10. Let a = 0.8 + u. Let g = 0.5 + a. Which is smaller: g or 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (4 - (-2989)\/(-420) - -4)*-2 and 149\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, e: 5, d: 1, b: 5, f: 7}. Give prob of sequence dq.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1525 and 164273.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18142 - -18146.8. Sort -2, 31, o, -5\/6 in ascending order.\nAnswer: -2, -5\/6, o, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -92 - -96. Suppose -b*d - 3*z = -246 - 99, -4*z - 156 = -2*d. Suppose -2*w = w - d. What is the highest common divisor of w and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 687.7563 micrometers?\nAnswer: 687756.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3259020 and 4350.\nAnswer: 16295100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 AM and 12:07 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 - 30352341?\nAnswer: -30352335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 486 - 864. Let r = u + 1027. Suppose -302 - r = -3*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence icex when four letters picked without replacement from {e: 2, c: 3, x: 2, i: 5}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 65*f - 35. Let r be a(17). Round r to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 277*f + 469. Determine b(-2).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2055 + -1997. What is the remainder when 269 is divided by l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -388 at most -388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + w = -5*f + 135, 3*f - 2*w = 74. Let c be (-1)\/(2 - 58\/f). Suppose 0 = -2*y + c + 26. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-11)\/(-154))\/(-1)*3)\/((-9)\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 320 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 2*k - 10 = 0, -3*u + 27*k - 19*k + 35 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117221 is divided by 486?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + -334033103030?\nAnswer: -334033103033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n. Let j be k(0). Suppose 2*x - 25 + 5 = j. Solve -5*y + u = -3*y + x, 4 = y + 4*u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/(-45)*-3*5. Let t(m) be the first derivative of -1\/4*m**4 + 0*m**2 - q*m - 2 + 0*m**3. What is the derivative of t(n) wrt n?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1101214 - 10?\nAnswer: -1101224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**2 + 390*j + 14872. Determine q(-35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**3 - 5*j**2 - 3*j - 15. Determine r(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2599862 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of -o**4\/8 + 7*o**3\/2 - 99*o**2\/4 + 135*o\/2 + 575. Factor y(w).\nAnswer: -(w - 15)*(w - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 106966 and 354394.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -176*t + 171*t + 1150. Calculate the smallest common multiple of t and 46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 + -245.41914.\nAnswer: -247.41914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 105083155?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1837?\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -506 + 509. Suppose -100 = -y*d + 3*w + 101, -4*d - 3*w = -268. Calculate the remainder when d is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.184 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 26 - 22. Suppose -7*w = s - 2*w - 17, -3*s + 32 = -h*w. Find the first derivative of -4 + s + y + 4*y wrt y.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 - 11 + 6)*(22*x + 94*x + 44*x).\nAnswer: 960*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 2 = 2*f - 2*n, 5*f + 5 = 5*n. What is the second derivative of -16*r + 28*r**5 + f*r - 27*r**5 wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes after 3:09 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1.1 or 3611\/6?\nAnswer: 3611\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, 7, -21, -77, -167, -297, -473?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -132, -292, -510, -786, -1120, -1512?\nAnswer: -1962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*(6 + -1 - 1). Let i(q) = q - 3. Let b be i(x). Let s = -38 - -33. What is the biggest value in 0, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 1  (c) -371945.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 1420?\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -666469 - -471859927\/708. Calculate the common denominator of j and 77\/2360.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from illflqffflllqqs. What is prob of sequence siql?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((108\/(-162))\/((-1)\/(-4)))\/(-2)*-2?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of 1\/6*c**3 - 1\/60*c**5 - 1\/8*c**4 + 0 + 0*c + c**2. Let h(q) = 2*q**2 - 56*q - 61. Let x be h(29). Determine f(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1664, -6908, -15732, -28130, -44096, -63624, -86708, -113342?\n\"Answer: k**3 - 1796*k**2 + 137*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 4*c - 13 = 5, 6 = 4*m + 2*c. Let b be m + -2 - (-28)\/7. Which is bigger: b or -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v**2\/4 + 20855*v\/2 + 434931025\/4 = 0. Calculate v.\nAnswer: -20855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*g**2 + 13*g**2 + 15*g**2 + 33*g**2 to the form w*g + v + d*g**2 and give d.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 4903462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1293672 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s + 10 = -s. Suppose g + 4*v - 10 = 0, 4*g - 62 = s*v - 7*v. Solve 3*z - g = 3*l, z - 6 + 15 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * -969.121.\nAnswer: -484.5605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -25.3 + 26.3. Which is the third biggest value?  (a) h  (b) 0.095  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9 + (136\/(-16))\/((-4)\/208) is divided by 111?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 2:42 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 15 = -y + 2, 0 = -4*t - y + 22. Find the third derivative of 92*x**t + 4*x + 85*x**5 + x**4 - 171*x**5 + 4*x**2 wrt x.\nAnswer: 360*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - w = 0. Let u(g) = -39*g**2 + 25 + 38*g**2 + 0*g**3 - g**3. Let n be u(w). Solve -2*q + n = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 3*x**2. Let k(t) = -584*t**2 - 1. Calculate k(u(a)).\nAnswer: -5256*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - -1. Let t be ((-633)\/422)\/((-2)\/4). Suppose r - 3*r + t*f - 8 = o, 5*f + 31 = -3*r. Is -7 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 11:47 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/3429 and -41\/762?\nAnswer: 6858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.7 + -2.6. Let k = p + -0.2. Let m = -46 - -45. Which is the second biggest value?  (a) m  (b) 1  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16320 divided by 4080?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 34 = 5*n, -9600 = -178*i + 6435*n - 6432*n for i.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1059767 rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 - -10413.98889?\nAnswer: 10413.93889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g + 15. Let k be q(-12). Let c be (4 - -3) + -6 + k. Suppose -4*b + 2*s + c + 2 = 0, 0 = 5*b - 5*s. Solve 17 = -4*u - o, 5*o = b*u - 7 + 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1974*b + 8758*b + 549504 for b.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1cf6f - 3?\nAnswer: -1cf72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(6171)*1 - sqrt(204)*2))\/(-3*(-3*sqrt(864) - sqrt(864) - sqrt(864))\/sqrt(8)).\nAnswer: -7*sqrt(17)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -686 - -1028. Let d = h - 342.0293. Round d to 3 decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -f**4\/2 - 11*f**3\/2 - 39*f**2\/2 - 49*f\/2 - 10 = 0.\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 - 107 = 6*j. Let c = j + 17. Let f(d) = -d**3 - 14*d**2 - d + 1. Is f(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a**2 - 1. Suppose 5*y - 40 = 5*w, 3*w + y = -3 - 5. Let l = w - -3. Calculate q(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11876 (base 10) in base 15?\nAnswer: 37bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(72\/4)*-1. Do d and 0.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - 9\/(-3))*1. Let k = h + -1. Suppose 0 = -2*x + 2*d + 60, k = -2*x - 2*d + 15 + 49. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 5*r**2 - 4*r - 2. Let x(i) = i**2. Let b(w) = d(w) - 4*x(w). Let c be b(4). Let j(q) = -q. Let g(v) = 4*v. Calculate c*g(p) - 11*j(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o + 21. Let r be n(-19). Find the second derivative of 18*p**3 + 307*p**r + 32*p - 307*p**2 wrt p.\nAnswer: 108*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6742 - -6742. Let h - 1\/4*v**2 + 1\/2*v - 1\/2*v**3 + 1\/4*v**4 = 0. What is v?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100 + 409 = 44*t + 837 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 20, -381, -17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -3 - 1\/((-2)\/88).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (582\/60)\/(222\/30 + -5) and -155\/1032.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - y)*(-3*y**2 + 5*y**2 - y**2)*((0*y - y + 2*y)*(-2*y + 2*y - 2*y) + 0*y**2 + 2*y**2 - 4*y**2 - y + 2*y**2 + y).\nAnswer: 2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (30 - 35 - (-15 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -1, -1.33?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -12, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54747011?\nAnswer: 11, 1951, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 15*f**3 + 5*f**2 + 30*f + 5. Let p(v) = -8*v**3 - 3*v**2 - 15*v - 3. Let t(j) = -3*c(j) - 5*p(j). Find the second derivative of t(w) wrt w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + d + 94053 = 0, 69*d = 3*z + 68*d - 141084. What are the prime factors of z?\nAnswer: 3, 61, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*4\/(0 + 2). Suppose 9*b - 39 = -2*b - 2*b. Solve f*r + 5*h = 0, 0*h - h + 17 = -b*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.43 * -33699.\nAnswer: 14490.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + 345034?\nAnswer: 345035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*q**3 - 2*q**3 - 4 + 4.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (568 - 665 - 449)*(-h**5 - 5*h**4 + 5*h**4 + (3*h**5 + 0*h**5 - h**5)*(-3 + 0 + 2)).\nAnswer: 1638*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 8, 0.9, -4 in increasing order.\nAnswer: -4, -3, 0.9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the second derivative of 110*r**6\/3 - r**4\/12 + 416*r**2 - 202*r + 1. What is the third derivative of u(x) wrt x?\nAnswer: 26400*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**3 + 16*o**2 - 2*o - 8. Let t be p(-16). Suppose 0 = -k - 3*f + 14, 0 = 2*k - 0*k + 4*f - t. Is 8 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 - h**2 - 68*h + 23. Determine a(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.626 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(-5) - 24\/10. Let m be (5 + y - 3)*3. What is the units digit of -2 - (6 + m + -20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the third derivative of 0*b - 57*b**2 + 5\/6*b**3 + 0 + 1\/24*b**4. Give j(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 5. Suppose 2*o - 5*r - 15 = 4, 2*o - 2*r = 34. Put o, 4, f in descending order.\nAnswer: o, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -15*z - 216. Let l be n(-13). Let p(r) = 51*r - 21. Let i(a) = -5*a + 2. Calculate l*i(g) - 2*p(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 7*o**5 + 30*o**4 + 29*o**3 + 6*o**2 = 0.\nAnswer: -3, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -41 (base 6) to base 8\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 39 + -69. Let l be (j\/45)\/((-2)\/39). Suppose -8*k = -l*k + 415. Calculate the remainder when k is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 8*s**2 + 273*s - 2792. Calculate b(10).\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 17 = 4*h + 7, 0 = -h + 1. Suppose -7*y - 2*f = -3*y - 26, -i = -y - 2*f. Differentiate -4*s**3 + 3*s**y - 10*s**3 - 3 + 14*s**3 wrt s.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -29125*c**2 + 29125*c**2 - 63*c**5 - 6*c**3 - 3*c**5 - 2*c**5 + 2*c**5 + (-2*c**2 + 2*c**2 - 2*c**2)*(-4*c**3 - 2*c**3 + 4*c**3).\nAnswer: -62*c**5 - 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18680 and 3720.\nAnswer: 1737240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 10) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q + 1. Let l be s(3). Let f = l + 20. Solve -5*r - f = 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28)\/9 + ((-24)\/(-4))\/2.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -8 + 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, s: 2, g: 1, w: 1}. Give prob of picking 1 s and 1 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 + 5)*-2 - -4. Let a(s) = -2*s - 5. Let z be a(-4). Let u(y) = -y**3 + 5*y**2 - 3. Let w be u(z). Solve 5*b = w, 5 = -2*d - b - o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000010673 rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 929 divide 10829353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 2 = -13, -2*l + 2*c - 4 = 0. Suppose -l*h = 7 + 8. Is h <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/n**(-2\/27)))\/(n**(-11)*n))\/(n**(4\/7)*(n\/n**(-2\/3))\/n) assuming n is positive.\nAnswer: n**(1642\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 677181?\nAnswer: 3, 53, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.19 + -1.86. What is m rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 1. Let f(n) = 581*n + 9. Determine -2*f(t) + 18*x(t).\nAnswer: -1162*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 + 3*q + 21. Give p(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add -33 and 1.1.\nAnswer: -31.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36.469 - 457621.\nAnswer: -457657.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -173442, -173427, -173412?\n\"Answer: 15*a - 173457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2985347?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 39 = p, 3*p + x - 2*x - 93 = 0. Calculate the remainder when 297 is divided by p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -6 + (-6 + 4 - (-512)\/208).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 1068 + 200. What is the highest common factor of y and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 4*a = -2*c - 20, 0 = 5*a. Suppose 0 = -z - c, -7*k + 2*k = -3*z - 12. Let p(s) = -4*s + 34. Calculate the remainder when 100 is divided by p(k).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.7  (b) -1  (c) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 285 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1858372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 10, 12, 24, 52, 102, 180, 292?\n\"Answer: c**3 - c**2 - 2*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 - 4 = -i. Let y = -43 + i. Let f = 48 + y. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1034955*l**2 + 109826*l - 2 wrt l.\nAnswer: -2069910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 plus 26996?\nAnswer: 26999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f + 35336 = 237899. Does 71 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 127853237*w. Let s(p) = 8*p**2. Determine z(s(t)).\nAnswer: 1022825896*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 PM and 8:19 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 PM and 12:59 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -205 = 5*x - 4*y, 1 = -4*x + y - 163. Let s = -23 - x. Calculate the smallest common multiple of s and (13 + -3)*(3 - 2)*1.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18 - 3*y - 69*y**2 + 67*y**2 + 24 + 29 + 8*y**3 to x*y**2 + s + d*y**3 + g*y and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 75 + (-1 - -1 - (3 + 9)) + (-1 - -3)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11964 is divided by 3986.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, u: 2, g: 1, n: 2, b: 1, v: 1}. Give prob of picking 1 c and 1 n.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -64959820, -129919633, -194879446, -259839259?\nAnswer: -324799072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -50, -122, -240, -416, -662, -990, -1412?\nAnswer: -1940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/1384617 and -103\/24336.\nAnswer: 66461616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -558\/5 or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of v**7\/1155 + v**6\/132 + 4*v**5\/165 + v**4\/33 - 18*v**2. Solve b(p) = 0 for p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -2 - 10, -4*x + 9585 = -5*r. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1149.841515 to one dp.\nAnswer: -1149.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 2*i**3 - 18*i**2 + i - 6. Let r be u(9). Solve -4*z - r = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5420 - 2783. Suppose 4*q + 4 = 20, 5*z + 3*q - p = 0. Let f = -373 + z. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, m: 1, n: 1, g: 3, c: 6, d: 6}. Give prob of sequence cy.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-26)\/5460*-16)\/((-4)\/(-3))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from {x: 1, e: 1, o: 7}.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**2 - 23*k - 3. Let j be b(23). Is (200\/15)\/(j\/(-18)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 2*z - 7*z + 15851 = 0, 0 = 3*u - 3*z + 47577. Let w = 395861 + u. Suppose n = -n + w. Round n to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-115 - 144 + 323)*(-59*l + 10 + 59*l - 2*l**4).\nAnswer: -128*l**4 + 640","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 32069856 by 3.\nAnswer: 10689952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 379664 and -1?\nAnswer: -379664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -910 divided by 13?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*y + 9*y + 12 = 0. Let t be (17610\/y)\/5*24\/18. Let i = 3123 - t. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-h + 1 - 1)*(-224 - 86*h + 224)*(-h - h + 12*h) to q*h**3 + r*h**2 + i + u*h and give q.\nAnswer: 860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*d - 20 = 49*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 3*y - 10. Suppose -t + y = 4*t. What is the units digit of 2 - 3*(t + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of -7*t**4\/4 - t**3\/3 + 3*t**2\/2 + t + 1. Calculate the remainder when d(-2) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -70 * 0.3\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 33343 - 4?\nAnswer: 33334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4994, -10044, -15094?\nAnswer: -20144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -150 = -26*a - 4*a. Suppose a*i - o = 762, i - 142 = -o - 4*o. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 + 16*j + 38. Let q be m(18). Suppose -3*v = -5*v + 4. Solve o - 2*t + 13 = 0, q*o + v*t + 2*t - 6 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -51 - -51. Suppose -2*i + 3*i - 3 = j. Let x(y) = 2*y**2 - y + 1. Let w(l) = l**2 - l. Determine i*w(r) - x(r).\nAnswer: r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -2*y + 5. Let f(r) = 3*r - 35. Let k be f(8). Let n(t) = -t + 2. Determine k*n(p) + 4*v(p).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 89 - 48. Suppose -4*o = 5*h - x, -h - h + 17 = o. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-837))\/((137240\/(-9855))\/(-188))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2. Let v(t) = -14604*t + 11. Give v(n(l)).\nAnswer: -14604*l**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3698521499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2 - 4*z + 1. Let n be s(-3). Calculate the remainder when 34 is divided by n + 10 + -1 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 193332589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 0*v - 4*i + 2 - 17 = -5*i, 0 = 25*i - 23*i - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**3 - 5*n**2 + n + 2. Let o be j(-5). Let x = 5 + o. Find the second derivative of x*b - 8*b**3 + 16*b**3 - 4*b**3 wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8)\/6*(-4 - 2515\/2). Suppose -3*p - 2*i + n = 3*i, 4*i = 5*p - 2828. Let r = 98 + p. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -22577811, -22577794, -22577767, -22577724, -22577659, -22577566, -22577439, -22577272?\n\"Answer: w**3 - w**2 + 13*w - 22577824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 - m - 9. Let n be y(-6). Factor -n*a**2 - 3*a + 14*a**2 + 20*a**2 + 2.\nAnswer: (a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 5*u + 4. Let h be s(0). Suppose -h*v = i - 11, -4*v + 4*i + 0 = 4. Find the third derivative of -c**2 - 24*c**v + 4 + c**6 - 4 wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 6*u**2 + u. Let g be c(-1). Suppose -20 = -g*r + 40. Suppose -r = -4*b + 20. Calculate the greatest common factor of b and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 15 + 13 + m**2 - 32 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange z**3 + 18 - z**4 + 6*z - 18 to i*z**2 + g*z + c*z**3 + y*z**4 + t and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - -2) + (-120 - (2 + -2 + -9 - 8))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.82 + -1.02. What is the nearest to 0 in -2\/13, 5, x?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2968 (base 16) to base 9\nAnswer: 15477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1294?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {p: 4, d: 11, m: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 30 = -4*t - 314, 5*t + 15 = 0. Calculate the greatest common divisor of g and 1496.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 872 + -2663\/3. What is the common denominator of ((-2)\/(-4) - (-45)\/(-50))\/((-1512)\/(-7210)) and g?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42559 is divided by 140.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2491.\nAnswer: 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u - 4*u + 6*u)*(7*u - 28 + 28) - 4*u**2 + 4*u - 4*u + (-3*u + 5*u - 3*u)*(0*u - 2*u + 0*u).\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 50 and 21060.\nAnswer: 105300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 0, 3*r + 0*k = -2*k + 15. Let j be 1\/((-4)\/(r - 1)). What is the remainder when 39 is divided by (j - -14) + (-3 - -4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 59*j + 89*j + 13*j + 1771 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, 1, 2\/11, -1\/19, 0.03 in increasing order.\nAnswer: -2, -1\/19, 0.03, 2\/11, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 122 is divided by (84\/(-56))\/((-3)\/42).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 45\/(-2)*11\/3. Let v = -84 - t. Let q be (-3 - 38\/(-8)) + 20\/16. Which is the closest to -5?  (a) v  (b) -5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -131*i**4 - 684*i**2?\nAnswer: -3144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -18 + (14 - (-5 - -3)) + -10\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 84 = 4*h + s, -3*h - 50 = -s. Suppose 5*f - u = 2*f + 109, -3*f = -2*u - 113. Let q = f - h. List the prime factors of q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 12*g**2 + 9*g - 6. Let o be (168\/(-63))\/((-2)\/6 + 1). Does 6 divide r(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 13. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 2:22 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 bigger than 6\/8771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5464757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 0*z + 967*z**2 - 4*z - 8362 + 4*z + 6342 wrt z?\nAnswer: 1934*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 871234291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 233*d - 874*d + 255*d + 242*d + 199*d.\nAnswer: 55*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 1.46323 millennia?\nAnswer: 14.6323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 576*l - 766*l + 0 to the form v*l + x and give v.\nAnswer: -1342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 266 and 434454209.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the first derivative of n**3\/3 - 6*n**2 + 11*n + 9. Let d be s(10). Let w(f) = -6*f - 5. Let g be w(d). What is g rounded to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/(-11) - (-368)\/(-88))\/(-2). Suppose 16 = -2*c - s*c, 3*v = 5*c + 245. What is the least common multiple of 33 and v?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1284 - 133 = -6*r + 1379. Calculate the remainder when r is divided by 93.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4939153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((4*sqrt(52))**2 - (sqrt(325) + -4))*5 - (-1*sqrt(13) + 5 - (sqrt(13) + (sqrt(13) - sqrt(117)) + 0))**2*-6).\nAnswer: -50*sqrt(13) + 8660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 28*o - 6*o - 8 - 42 - 92. Is w(17) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 24\/(-20)*(-3)\/(-6). Let v = -2876 + 2895. Which is bigger: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q + 1. Let y = -42 - -44. Let w(o) = 3*o**2 - o - 4. Let j be w(y). Give b(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 2 + 4 = 0. Suppose d*a = 3 + 51. Suppose 0*p + p - 2 = 0. Calculate the highest common divisor of p and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**2 + 3437576*v + 738558047236.\nAnswer: 4*(v + 429697)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 406199 is divided by 27070.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaaaaawqaaaqawqa. Give prob of sequence aaa.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oaoawwiolwj. What is prob of picking 1 j, 1 o, and 2 a?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -8*c - 1. Let i(w) = w**2 - 4*w + 1. Let r be i(2). Let n = -4 - r. Does 7 divide g(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 28269 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/1086176 and -5\/543088?\nAnswer: 1086176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 139839759?\nAnswer: 3, 97, 160183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8864.6 + 8865. Put d, 1, 96, -1 in increasing order.\nAnswer: -1, d, 1, 96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*x - 0*x - 6. List the prime factors of x + 4 - 414\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 9 + 3*r**2 + 2 + r - 3*r + 7*r. What is the tens digit of d(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times 107885.9?\nAnswer: -53942.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 1:16 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 145339 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/3 + 22966390\/1334340. Let l = m + -20\/2471. Let x = l - -80\/27. What is the common denominator of 71\/30 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 0. What is the second derivative of -4*f + 6*f**2 + 2*f - 2*f**o wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(4 - (-36)\/(-8)). Let l(h) = -3*h**3 + 8*h**2 + 7*h - 13. Let a(y) = y**3 - 3*y**2 - 2*y + 4. Let b(j) = c*l(j) + 7*a(j). What is b(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9029*f*s**2 + f*s + 435*f - 52*s**3 + 670*s + 1 wrt s?\nAnswer: -18058*f - 312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 42 + -40. Suppose -4*z - 61602 = -0*y - h*y, 15398 = -z - 2*y. What is z rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*i**2 - i**2 + 102 + 38*i + 30 - 16*i**2.\nAnswer: -2*(i - 22)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -18*y**2 - 921*y - 197. What is n(-51)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -125*k + 212. Is u(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 908*m + 59023. Let w be o(-65). Suppose 3*a = 2*c - 19, -4*c - 2*a = c. Solve c*g - w*g = -f - 6, -4*g + 14 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 + -3 + (59 - 17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -842, -3, 5, 66, -14 in descending order.\nAnswer: 66, 5, 1, -3, -14, -842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.4 + -0.6. Is k >= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15335 (base 6) to base 7\nAnswer: -10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/43953313 and -6.\nAnswer: 43953313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 6*p. Let n(c) = 253*c + 530*c - 228*c. Determine y(n(v)).\nAnswer: 3330*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15.83 - -11.83. Let y(i) = i + 5. Let l be y(-5). Suppose 0 = a - 1, -3*w + 4*a - 1 = -l. Sort n, -3, w.\nAnswer: n, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 3188277*t + 3. Let x(u) = -u. Determine x(b(v)).\nAnswer: -3188277*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -98313 or -98323?\nAnswer: -98323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-1*2*(sqrt(76)*4 - sqrt(76)))\/(sqrt(252)\/sqrt(7) - (-5*sqrt(4)*-1 - sqrt(4))).\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/27)\/(((-126)\/9)\/84).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*j**3*l**3 - 8*j**3 + 8*j**2*l**4 - 47*j*l**3 + 93*j*l**2 wrt l.\nAnswer: 12*j**3 + 192*j**2*l - 282*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.13, 341, -7, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/(((-255)\/(-70))\/((-66)\/231)).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -3. Suppose 4 = -3*u + 7. Let h(d) = -3 - u + 2*d - 3*d + 2*d. What is -3*h(g) + 4*r(g)?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 5. Let v(r) = r**3 - 6*r**2 + 3*r + 12. Let f be v(p). Suppose f*u + 2*u - 340 = 0. List the prime factors of u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 90332 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, -5, 2, 11 in increasing order.\nAnswer: -5, 2, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 7 = 1. Suppose -5*o + j + 4*j + 30 = 0, 3*o + 2*j = 3. Determine d, given that 0*d**2 + 3*d + d - d**4 - 4*d**3 - o*d**s + 4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 - -6. Suppose -4*t - t = 3*a - 23, -2*t = -4*a - 4. What is the closest to -1\/3 in c, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2648*v - 16349200 = -2620*v. What is v rounded to the nearest ten thousand?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 249*y**3 + 4*y**2 - 4*y - 54. Let f(a) = -497*a**3 - 7*a**2 + 7*a + 94. Calculate 4*f(g) + 7*v(g).\nAnswer: -245*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, j: 15}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0027577884 rounded to six decimal places?\nAnswer: 0.002758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a + a - 3*a)*(0 + 1 + 0) + (a + 6*a - 3*a)*(-11 + 25 - 7).\nAnswer: 25*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 2*l - 6. Suppose -2*c = 3*c - 20. Let i be r(c). Suppose 0 = t + 1, -2*w + 5*t - 11 = -18. Solve w = n + i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 - 29*t**2 + 26*t + 35. What is g(28)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 - 3058*y - 772599. What is b(-278)?\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -2*a - 7*a - 1 + 18*a + 6*a**2 - a**3 + 4. Suppose -4 = 5*k + 5*h - 14, 2*h = -k - 3. Calculate r(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) - (-2 + sqrt(288)))**2 + (2*sqrt(16))\/sqrt(8).\nAnswer: 2*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -79 - -62. Let r = a + 19. Differentiate -965*s + r + 25*s**2 + 965*s + 34 wrt s.\nAnswer: 50*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -30, -298, 5 in decreasing order.\nAnswer: 5, -3, -30, -298","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 l(d) = d - 56. Let p(a) = a - 55. What is -6*l(o) + 7*p(o)?\nAnswer: o - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -1563.806271 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b + 2. Let d be z(-2). What is the tens digit of (-118)\/(-6) + 2\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 67, 71, 75, 79?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of -4*z**3\/3 - 76*z**2 + 6206*z - 1. Calculate q(-21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(3\/2))**(-23) assuming r is positive.\nAnswer: r**(-69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 53*b**2 - 5603*b + 28046. Give d(5).\nAnswer: 1356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -19122 - -19133. Which is the biggest value?  (a) 0  (b) z  (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - x**2 + 0)*(-5*x + 4*x - x)*(-7*x**2 - x**2 + 0*x**2).\nAnswer: -16*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7 + -18?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/117 and -49\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 8 = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hchx when four letters picked without replacement from rhhhhrhxhhcqyxh.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 16884.4 from -961.\nAnswer: -17845.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 557, 1102, 1645, 2186, 2725?\nAnswer: 3262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.05 + 0.11. Let m = t + -0.06. What is the nearest to m in -0.2, 0.5, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2*b**2 - 14*b + 8. Let n be c(6). Let y(i) = -i - 6. Let d be y(n). Let m(v) = v + 1. Calculate m(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1100 and 725?\nAnswer: 31900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.2 - 1. Let s = -835 + 839.89. Let t = -0.11 - s. Which is the closest to 0?  (a) -3  (b) h  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kok when three letters picked without replacement from {a: 2, b: 1, o: 1, k: 2, s: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 2 = -f, 224*z - 225*z = -f - 10. Solve -x - 2*t + 7 = 0, z = -15*t + 16*t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 48, 14, -80, -264, -568, -1022, -1656, -2500?\n\"Answer: -5*v**3 + v + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 307 = -56*v + 10*v + 1227 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103 is divided by 26\/143 + 788\/22.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -136*h**3 - 17*h**2 + 17*h + 17. Suppose -19*a + 7 = -20*a, -3*a - 1 = 4*y. Let l(z) = -39*z**3 - 5*z**2 + 5*z + 5. What is y*k(d) - 17*l(d)?\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-276)\/8 - 3)*2\/(-3). Let w be ((-5)\/d*0)\/(-1). Solve o = -4, w = 5*u - u + 4*o + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 161491 is divided by 53406?\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 61 or 5268\/85?\nAnswer: 5268\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 - j)*(-8*j - 6*j + 2*j)*(-25 - 24 - 24) to the form q*j**2 + k + w*j and give q.\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 72 + -48. What is the common denominator of -8\/75 and (-106)\/(-4)*16\/r?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*z - 249 + 285 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of a**2 - 1. Let q(y) be the third derivative of 0 - 1\/12*y**4 - 2*y**2 + 0*y**3 + 0*y. Give c(q(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/(-234)*2*(-4)\/(-8)*-3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 4*t + 12 = 0, -2*c + 7 = -t - 3. Let a be 1\/((-4)\/(-12)) + 17. What is the highest common divisor of c and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -2*k - i, 4*i = 5*k + 3*i - 118. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2014.95 + 2015. What is the closest to 0.1 in 3, v, 4, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 458449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -12707056.8 to the nearest 10000.\nAnswer: -12710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**2 + 46*p + 29. Is s(22) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 198*p - 4694. Determine o(24).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 22228*k - 529. What are the prime factors of s(2)?\nAnswer: 13, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -132 + 132.057. Let k = -0.057053 + l. Round k to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(-5\/6)*n)\/n)\/(n*n**(-4)))\/(n*n*n\/n**3)**(4\/29) assuming n is positive.\nAnswer: n**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 146356 - -0.0335\nAnswer: 146356.0335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/52 and 29\/39.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -140*k**4*u**2 - 234336*k**4 - 70828251*u**2 with respect to k.\nAnswer: -560*k**3*u**2 - 937344*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1265278706?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*m - 13498 + 4505 + 4504 + 4489.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**4 + 9*r**2 + 2*r**4 - 3 + 2*r**4 - 14*r**2. Let v(d) = 2*d**4 - 3*d**2 - 2. Let w(q) = 3*o(q) - 5*v(q). Differentiate w(g) with respect to g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*b - 12*b + 10. Let t(i) = -i + 2. Let f be t(b). What is the units digit of (-2)\/f + (-1)\/((-6)\/176)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -426000 to the nearest 10000.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {k: 1, d: 1, h: 1, y: 2, u: 1, o: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 - 0) + 14\/2. Suppose 0 = t*k + 23 - 83. Suppose 4*m + k + 60 = 4*x, -3*x = m - 70. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from woxzaov. Give prob of sequence vzx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1408\/28 - (-6)\/(-21). What is the greatest common factor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**2 + 7*n + 3124. Calculate m(59).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1217 + 1186 + (-1 - -15) + -19.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 23*y + 7. Let r be p(-5). Let t = -31 - r. What is the greatest common divisor of t and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -238 - 79*i + 299 - 61.\nAnswer: -79*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 - 8. Suppose -f = 3*c + x, 6*f - 2*f - 24 = 4*c. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 2381122134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14*n**2 - 116986*n\/3 + 588080.\nAnswer: -2*(n - 15)*(21*n + 58808)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.6 bigger than -5\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.21  (b) -17  (c) -0.2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 + -3. Suppose 0 = j*b + 57 - 379. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 110, 346, 750, 1328, 2086?\nAnswer: 3030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1754875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + 0. Let c(w) = 3*w**3 - 4*w**2 + 0*w + 4*w - 2*w**u. Let g(b) = b**3 - 3*b**2 + 3*b. Let i be 15\/10 + (-6)\/(-4). What is i*c(r) - 4*g(r)?\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 22 = 4*l, -5 = 2*l - m - 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y + 1. Let z be a(-3). Let u(x) = 96*x**2 + 0 + 1 + 14*x**2 + 5*x - 139*x**2 + 14*x**2 + 14*x**2. Give u(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/79504 and -41\/1669584?\nAnswer: 1669584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*s - 4*s. What is the units digit of (1 - 11)\/(-1 + s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 1 - 3)*(334*w + 15*w + 80*w) as j + d*w and give d.\nAnswer: -3003","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 + 3\/((-6)\/(-4)). Suppose o = -5*h + 51 - 11. Suppose -2*u + h = 2*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7674179 >= -7674180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -52328?\nAnswer: 1\/13082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1580007 is divided by 607?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9126 + 9126 - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5334 and -1?\nAnswer: 0.5334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9527 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**2 - 4*x + 6. Let f be r(-5). Suppose 0 = -5*c - f - 9. Let n(i) = i**2 - 9*i + 9. Let t be n(8). What is the nearest to t in c, -2\/13, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -107444\/2223 - -918\/19. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence acac when four letters picked without replacement from {u: 4, p: 3, q: 2, c: 2, a: 3, f: 1}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 4*p**4 - 87436*p**3 + 640660860*p**2 - 1599266081700*p + 188623954638000 = 0?\nAnswer: 124, 7245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1479 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*(20\/(-105))\/(4\/(-14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 276 and 17848?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 6, -6\/11, 15, 2, -331\/6?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 1255597858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1696 or -147568\/87?\nAnswer: -147568\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 3*c. Let w(h) = -h**2 + h + 3. Let r be w(c). Let m = -1 - 1. Sort m, r, -0.2 in descending order.\nAnswer: r, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 37.4344 to zero decimal places.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 536*o**4 + o**2 + 1128.\nAnswer: 2144*o**3 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 231 - 218. Calculate the remainder when 90 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*k - 9, 3*d + 8 = k. Let g = 0 - 0. Suppose 0*v - v = g. Which is greater: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 1 = 2*n - 7, -2*n = -2*r - 8. Suppose 0 = 5*c - n*q + 23, 3*q + 4 = 2*c + 9. Let v = c - -12. Solve v = -2*t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41845 is divided by 481?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32a (base 16) to base 2.\nAnswer: 1100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12 - 3 + 2)*(15*q + 12*q + 24*q)*(q**2 - 6*q**2 + 0*q**2) in the form g*q**3 + l*q + t + p*q**2 and give g.\nAnswer: 3315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5900394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 10958368191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 9) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 177373 + 176302 - 353675 - z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.27 - 0.17. What is the biggest value in p, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 1690 = 2*w, 0*w = -w - 3*n + 850. What are the prime factors of w?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - 1870523?\nAnswer: -1870525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 3*v**3 + 2*v**2 + 26*v. Let y(b) = -2*b**3 - b**2 - 14*b. Determine -3*a(t) - 5*y(t).\nAnswer: t**3 - t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1568*f + 910*f + 832*f)*(f + 2*f - 5*f - 6) to h*f**2 + m*f + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -25\/3, 0.2, 103343, -2\/5 in descending order.\nAnswer: 103343, 0.2, -2\/5, -25\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 + 4. Let d be 5401\/55 - s\/(-10). Suppose -n - 29 = -d. What is the remainder when n is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 = 153*a - 143*a. Solve -3*i - 4*u = 2, 6*i - 2*u = a*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -50 plus 0.32?\nAnswer: -49.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -64 take away 44913519?\nAnswer: -44913583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of -d**6\/105 + d**5\/28 + d**4\/28 - 4*d**3\/21 - 2*d**2\/7 + 107*d - 2. Suppose r(n) = 0. Calculate n.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2.04 - -0.04. Let o = -3 + a. Let f be 19\/((-969)\/119)*(-18)\/14. What is the closest to 0.2 in f, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/((-2)\/(-8)) - -1. Let l = 201 - 200. What is the closest to -2 in -2\/9, l, f?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/76*53\/(-53)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 + 43?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-6)\/15)\/((-4)\/(-20)). Let n(y) = -5*y - 5. Let q be n(z). Suppose -6*k = -q*k. Solve k*f + 2 = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 480 = 19*v. Calculate the lowest common multiple of 8 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t + 43. What is the units digit of u(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -3*x + 35, -4*x + a + 30 = 3*a. Let f be x\/((-338004)\/(-67600) - 5). What is f rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 9 = -21*h + 17*h, -4*h - 5*m - 17 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d**2 + 3*d**2 - 2*d**2)*(1 + 2586*d - 17*d**2 - 2586*d).\nAnswer: -51*d**4 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 1 + -1 - (32 - 36)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 6*o + 1212. Calculate the remainder when z(-72) is divided by 266.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 6*l + l - 4*l - 4*l. Let q(x) be the first derivative of -8*x**3\/3 + x**2 - 2. Let d(r) = r**2 - r. Let o(k) = 2*d(k) + q(k). Determine o(y(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8306152?\nAnswer: 2, 1038269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 2*r + 8. Let y(z) = z**3 - 7*z**2 + 6*z + 4. Let i be y(6). Suppose -7*b + i = 32. Put b, r, -5 in ascending order.\nAnswer: r, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -125, -158, -267, -494, -881, -1470, -2303, -3422?\n\"Answer: -7*c**3 + 4*c**2 + 4*c - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*n + 119*n - 3*n = 3081730. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -298 + 1191\/4. Which is the closest to g?  (a) -2  (b) 2  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-385)\/(-1815)*-4*(-2)\/(-28).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 0.49, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of 3*m**2 - 10*m + 2. Let h be u(4). What is the highest common divisor of 182 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 13) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 928629127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5263 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: Express (-7*c + 11*c + 17*c)*(9*c - 2*c - 3*c) + 32*c**2 - 36*c + 37*c - 103*c**2 in the form m*c**2 + b*c + g and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*9\/(-3)*((-21)\/(-1))\/(-882)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1305\/35 - 2\/7. Let w = 20 + 37. Let j = w - r. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 9*g**3 + 4*g**2 - 8. Is n(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*2042.\nAnswer: -8168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2 + 18815859*v - 18815860.\nAnswer: (v - 1)*(v + 18815860)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((210\/25)\/(-7) + 1)*(22 + -21)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 528*m**3 - 32*m**2 + 32. Let r be 16256\/762*(-3)\/2. Let k(n) = 48*n**3 - 3*n**2 + 3. What is r*k(s) + 3*l(s)?\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 - (-3*3 + (109 - 106)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) + (sqrt(475))**2 + -1)*-2 - sqrt(171)\/(sqrt(144) + 2*sqrt(144)))*3 + 5 + 2.\nAnswer: -2837 - 25*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**4 + 0*t**4 - t**4)*(0 + 1 - 2) - 35*t**4 + 1 - 1.\nAnswer: -33*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2886481*f**3 + 1787*f - 460.\nAnswer: -17318886*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -13?  (a) 5  (b) 4  (c) 1323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/9 - 2208\/108. Calculate the remainder when 29 is divided by (-15)\/i + ((-135)\/(-12) - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3351 + -22.248083.\nAnswer: 3328.751917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 5*j - 9. Let i(y) = -y**3 - 6*y**2 - 4*y + 2. Let z be i(-7). Let v = z + -67. Solve -4*p - 1 = -n - v, 0 = -3*p + 2*n + j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 - 33. Let l be 4*1 + f + 10. Let t(g) = 2*g**2 - 16*g + 8. List the prime factors of t(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 26 - 106 = -b, -75 = -2*w - 5*b. Let g = 29 - w. Suppose -g*f + 31 - 7 = 0. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -120 - -597\/5. Let n(p) = -p**3 + 2*p**2 - 3*p + 1. Let j be n(2). Let l = -7 - j. What is the second biggest value in b, l, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 35  (b) -83314  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 3*s + 27543 = 0, -7*r + 9*s - 11*s = -96388. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8594 + 8603. Solve 1016 - 989 = b*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -110*q + 849*q**4 + 78*q**3 - 808*q**4 + 41*q**2 + 31*q - 39 - 43*q**2 + q**5.\nAnswer: (q - 1)*(q + 1)**3*(q + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.4637 times -0.5\nAnswer: 0.73185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*z - 12*z - 14. Does 2 divide z\/(-63) - (-102)\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*(f*f\/f**(-2))\/f)**50)**44\/(f**(-2\/7)*(f**4*f)\/f*f**0*f*f\/(f*f**2*f)) assuming f is positive.\nAnswer: f**(61588\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -4 - (9\/3 - 61). Suppose 6 + s = 5*u. Suppose -j = -59 + u. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6561\/(-729) - (-576)\/10. Let w(n) be the second derivative of h*n**2 + 0 + 18\/5*n**3 + 1\/10*n**4 - 27*n. Factor w(c).\nAnswer: 6*(c + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z**3 + 2*z**2 - 4*z - 5. Let v be w(-2). Let f be (-15 - -2)*v - -2. Suppose 2*r - j = 162, -3*j + 6*j = -r + f. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2680)\/2345*441\/6.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrarfrrfr. What is prob of picking 2 r, 1 a, and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -221e4 (base 15) in base 3?\nAnswer: -12111202021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -27 (base 15) to base 16\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1933920 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 117 (base 12) to base 10\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the second derivative of v**4\/3 + 7*v**2\/2 + 14*v. Differentiate n(b) with respect to b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 6*d - 2 = 0. Let c be (1\/(-22))\/(1\/(-4)). Does c = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7\/81 - -419\/162. What is the nearest to -25 in x, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -9 + 10 - 4*h - 4. Let v(b) = 2*b + 2. What is 3*l(o) + 5*v(o)?\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 28*k**3*m*n - 2*k**3 + 2405*k**2*m*n - 85*k**2*n + 142*k*n wrt m.\nAnswer: 28*k**3*n + 2405*k**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*y - 328 = 22 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n**4 - 2*n**4 + 3*n**4)*(2 + 3*n - 2) - 3*n**5 + 2*n**5 - 7*n + 3*n.\nAnswer: 11*n**5 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 110 and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-48))\/(5\/30*4)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1226837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/9*0 - 3. What are the prime factors of (-24)\/9*f\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55 - 2*a**3 - 16 - a**3 - 39.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together -22 and 0.07642.\nAnswer: -21.92358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1344, 1380, 1430, 1500, 1596, 1724, 1890?\nAnswer: 2100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/((-3)\/(-1)) + 3499998. What is w rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95)\/sqrt(245) - (sqrt(171) + 1)) + ((sqrt(152) + (sqrt(152)*1 + sqrt(152) - sqrt(152)))*-6)\/(-6*sqrt(128)).\nAnswer: -33*sqrt(19)\/14 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -10\/41771, -1, 1\/3 in increasing order.\nAnswer: -1, -0.4, -10\/41771, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 170127 is divided by 1481.\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15327 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -3*o. Let g(s) = -3*s**2 - 1. Let x(r) = 1827*r**2 + 567. Let c(q) = -1134*g(q) - 2*x(q). What is c(j(m))?\nAnswer: -2268*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -2*u**2 - 8*u - 4. Suppose 10 = -5*n - 5. Let j be l(n). Suppose -j*c = 2*c - 240. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11317195.11 to the nearest 100.\nAnswer: 11317200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 26137182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 5  (b) -1\/1458  (c) 0  (d) 24  (e) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 + 14*i**2 + 22*i - 29. Let u be f(-12). Put 3, u, 4 in ascending order.\nAnswer: u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(114) - sqrt(114)*-3 - sqrt(114)) + sqrt(114) - sqrt(114))\/sqrt(6) - (2 + sqrt(19)*-1).\nAnswer: -2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1023013133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 6036049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**3 - 4*o + 0*o**2 - 1 - 2*o**2 - 4*o**3. Let h(r) be the third derivative of r**6\/120 + r**5\/60 + r**4\/24 - 18*r**2. Determine -b(n) - 4*h(n).\nAnswer: n**3 - 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 11, k: 5}. What is prob of picking 3 d?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -5*f - 4. Suppose 5 + 15 = -5*g. Let p be v(g). Suppose -2*u + p = -0*u. Calculate the least common multiple of 20 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -3*x + 49. Let y(d) = -d + 12. Let j(h) = -2*t(h) + 9*y(h). Let b be j(5). Let o = 18 + b. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(-98)*(-28)\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 25*n**5 - 3760*n**4 - 17789*n**3 - 5692*n**2 + 17296*n + 9920 = 0?\nAnswer: -4, -4\/5, 1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*j**2 - j - 54*j**2 - 65 + 317 + 5*j**2.\nAnswer: -43*j**2 - j + 252","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 - (11 + 2 + (-57 - -38))) + 7 + 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 357.71 rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 5*g + 3*g - 4, -2*g = 0. Solve -2*f = -4*f - 2*p + 4, -p = -y*f + 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 45 - 11. Let a = x + -12. Let u = -8.5 - -8.1. What is the fourth smallest value in u, 0.5, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-35))**46\/(((l\/l**(-3\/4)*l)\/l)\/(l\/(l**(-2\/3)\/l)))**34 assuming l is positive.\nAnswer: l**(-9473\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2869*m - m**2 + 2872*m + 6*m**2 + 173 wrt m?\nAnswer: 10*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*(-1 - 219\/6). Suppose 40 + 210 = 5*i. Calculate the greatest common factor of i and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*j - 4*j - 6*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/(-10) - 12\/(-8). Suppose 5 = l + x*r, 5*r - 4 = r. Solve 4*g = 2*f - 1 + 3, 4*g - 17 = -l*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 268076031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 111636 and 330.\nAnswer: 6139980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.50031 rounded to one dp?\nAnswer: -14.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 528*z**4 - 4*z - 316 wrt z.\nAnswer: 2112*z**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 688 and 151532.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 - 15. Let h = 9 - r. What is the third derivative of -30*w**4 + 30*w**4 + 5*w**2 + 4*w**h wrt w?\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -31*c - 78 + 78 as w*c + z and give w.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 + 2*h**2 - 2*h - 4. Let p be m(-1). Is 26800 - (p\/(-3))\/((-41)\/(-123)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 102132 = -m - 102104, -3*m + 0*o - 20 = -o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 - 10*o + 4. Let c(d) = 2*d**2 - 19*d + 8. Suppose 58 = 11*f + 3. Let h(s) = f*i(s) - 3*c(s). Let p be h(7). Is p at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -474969.\nAnswer: -1\/474969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10329 is divided by 6313.\nAnswer: 4016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = f - 19. Solve 4*m + f*o - 15 = 0, -3*o = 4*m - 3 - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68988 divided by -6?\nAnswer: -11498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3*45\/(-81)*(-12)\/10. What is the closest to t in -3\/8, -0.4, -17?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*d - 2*t - 12 = -56*d, 0 = -4*d + 2*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**3 + 9*a**2 - 14*a - 4. Let c be d(2). Let b(i) = 15*i - 5. Calculate b(c).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 6*i - 20. Solve -i*n - 21 = 5*q, -2*q - 3*q - 3*n = 17 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -485\/934333 or 1?\nAnswer: -485\/934333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -38433 divided by -6063?\nAnswer: 12811\/2021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1))**(-33)\/(x\/x**(-16))**(-45) assuming x is positive.\nAnswer: x**798","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 6*c - 7. Let h(y) = 11*y - 14. Let j(m) = 4*h(m) - 7*t(m). Let k be j(6). Let q = 3 + k. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 385 - 325. Calculate the greatest common divisor of i and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -4*b - 3. Let o(t) = -3*t - 3. What is -5*o(m) + 4*z(m)?\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -49 + (59 + -24 - -54).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q**3 + 3*q**3 + q**3)*(-1 + 2 + 1)*(-2*q + 5*q + 6*q).\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-285)\/21 + (-3)\/(-42) + 12\/(-24).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -23, 7 in ascending order.\nAnswer: -23, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -5*b**2 + 32*b. Let u(h) = 5*h. Determine u(p(f)).\nAnswer: -25*f**2 + 160*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18553787 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -11 + 3 - (-534 - (-26)\/(-2)) is divided by 55?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1070296.90041 - 1070204.9. Let z = k - 92. Round z to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3363637941 to the nearest integer?\nAnswer: 57997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 16\/((-7)\/((-84)\/8)). Let h be (-2)\/(-3) + t\/18. Solve -5*a + 4 = -a + 2*w, -3*w = -h*a - 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - ((-20 - -33) + -23) - 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.850781 litres in millilitres?\nAnswer: 850.781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 852316405?\nAnswer: 5, 23, 41, 163, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 182*y - 182*y + 54*y**3 + (-6*y + y + 3*y)*(2*y - 2*y + y**2).\nAnswer: 52*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -23*w**2 + 1389*w + 13816. What is c(-10)?\nAnswer: -2374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8041*r**2 - r**4 - 8059*r**2 + 12*r + 78*r + 1 - 1 + 2*r**4 - 2*r**4 + 3*r**4 + r**4 + (0*r**3 - r**3 + 2*r**3)*(-1 + 1 + 2*r) + 0*r**3 - r**4 + 0*r**3.\nAnswer: 4*r**4 - 18*r**2 + 90*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -137\/20544 and -155\/292752.\nAnswer: 1171008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 54 + -58.8. Let w = -356886\/5 + 71377. What is the smallest value in 2, 1\/3, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3 = u, -75*t - 4 = u - 73*t. Let l = 0.04 + -3.04. Which is the third smallest value?  (a) -0.4  (b) l  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 26\/(-78)*0\/(-5 - -8). Let b(d) be the second derivative of 4*d - 20\/3*d**3 + w + 1\/3*d**4 + 18*d**2. Factor b(f).\nAnswer: 4*(f - 9)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10093 + -5546. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 916573, 916599, 916625?\n\"Answer: 26*n + 916547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -2*j**4\/5 + 22*j**3\/5 + 22854*j**2\/5 + 22778*j\/5 - 45652\/5 = 0.\nAnswer: -101, -2, 1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 + 1. Calculate p(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*h + 101*h**2 - 199*h**2 + 102*h**2 + 29*h.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = m - 282, -w = -0*w + 3*m - 76. Let b = 75 - w. Let q(z) = b + 4*z - 6*z + 6 - 10 + z**2. Give q(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21395989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-30)\/20 + 43\/(-2). Let z = -18 - m. Let p(r) = -r + 5. Let b be p(5). Sort z, b, -2 in descending order.\nAnswer: z, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and 144172.\nAnswer: 432516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.7 in 5\/219, -4, -2.4?\nAnswer: 5\/219","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80)\/sqrt(4))\/sqrt(4)*6 + ((2*sqrt(30)*2)\/sqrt(6))**2 + 4 + -5.\nAnswer: 6*sqrt(5) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 4*c + 1 - 3 = 0, -40 = -2*j + 4*c. Let w = 16 - j. Suppose w*t - 62 = 6. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {k: 8, l: 1, e: 3, q: 1, w: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2231*x**2 - 3 - 5294*x**2 + 3 + 3064*x**2 + 65*x - 65*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 0) + -14 - (96 + -107).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (17 + (9 - 9) - 6) + 12 + -22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 56 = -6. Let z = q + 12. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 215 + -186. Let t be (79 + 8)*((-8)\/(-3) + 0). Calculate the highest common divisor of t and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-4)\/(-1))\/4 + (-8)\/(-2). Let r(f) = -7. Let o(w) = -8. Let a(j) = c*r(j) - 4*o(j). Let p(z) = z + 1. Calculate a(l) + 3*p(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6.0272 + -0.6272. What is the closest to -3\/5 in 0.2, 0.1, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 5*b**2 - 9*b - 13. Let o(j) = -2*j**2 + 4*j + 6. Let x(t) = t**2 - 19*t + 77. Let u be x(7). Calculate u*o(m) - 3*l(m).\nAnswer: -m**2 - m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 360262 = -26*s + 40*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*z + 343 + 266 = -3*z, 4*o + 170 = 2*z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3478.21 - 3448. Let x = h + -0.21. Let c = x + -29.999861. What is c rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -359.4 times 2.466?\nAnswer: -886.2804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from bjjjjhbcjcjjj.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fkwwddwdwwwkwk. Give prob of sequence wkw.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11.6 + -11. Which is the biggest value?  (a) i  (b) 5  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + c = 2, -3*v - 3*c + 4*c - 2 = 0. Let a = 0.25 + -0.01. Let q = a - -0.06. What is the closest to 0.1 in 5\/2, v, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5934821, 5934559, 5934297, 5934035, 5933773?\nAnswer: 5933511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 2*r + 22. Determine t(-30).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/9  (b) 10\/3  (c) -2067  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -26328.75 rounded to the nearest one hundred?\nAnswer: -26300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*z - 3*z - 3*z + (z - 5*z + 5*z + (-5*z + 2*z + 2*z)*(1 + 1 - 3) - 2*z + 3*z - 4*z)*(-1 + 1 - 3) as p + f*z and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**3 + 22091*p**2 - 220835*p + 552025 = 0. Calculate p.\nAnswer: 5, 22081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together 69.3 and 71330405.\nAnswer: 71330474.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 146007 or 146019?\nAnswer: 146019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - ((-5 - (1 + 6)) + 12)) + -65?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -8*w**2 + 11*w - 4. Let s(h) = 41*h**2 - 56*h + 21. What is 11*l(b) + 2*s(b)?\nAnswer: -6*b**2 + 9*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67*p**2 - p + p + 69*p**2 - 196*p**2 + 62*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 19 and 2884925.\nAnswer: 54813575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 41364, 41378, 41392?\nAnswer: 41406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 251517 divided by -87?\nAnswer: -2891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/90928 and 39\/20?\nAnswer: 454640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 44213427 (base 8) to base 12\nAnswer: 322681b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -1 + 9 - 6 - 5 + 2*q. Let d be y(9). Solve 5*m - 2*l = d, 3*m - 14 - 4 = 3*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m - 174451 + 116*m**2 - 174452 + 348903.\nAnswer: 116*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1581 <= 1738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5638503961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -9126 > 6313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/4600 and -103\/1840.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -733254, -733783, -734312?\nAnswer: -734841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 80 - 115. Let v be ((-600)\/n)\/(-2)*7. Let m be (2\/(-4))\/((-295)\/v + -5). Solve -3*c - 6 = m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/(-8))\/(10\/120). Let z = 0.15 + 0.05. Put 2\/15, z, q, 4 in increasing order.\nAnswer: 2\/15, z, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -15  (b) -112  (c) 0.5  (d) -1178  (e) 0  (f) 5  (g) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 800 divided by -100?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = u. Let c = -39 - -57. Calculate the remainder when 1 - (-32 - u\/3) is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3420)\/(-170) + (-16)\/136. Solve v - 14 = -3*a - 0*v, -v = 5*a - x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104.05 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*g + 22 - 8. Find the third derivative of -29*w**3 - 4*w - 42*w**2 + 56*w**2 + g*w wrt w.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 86\/18 + 5\/180*8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1206.04457 rounded to one decimal place?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -21721.2413 to the nearest 100.\nAnswer: -21700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.4, -2\/11, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6545\/220 - 14\/8. Suppose -3*r + 24 = -3*s + 4*s, -3*s + 2*r = -j. Calculate the remainder when 18 + (1 - 2)\/(-1) is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -185805204 divided by -4\nAnswer: 46451301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of -g**7\/42 + 2*g**6\/15 - 3*g**5\/20 - g**4\/3 + 2*g**3\/3 + 20*g - 5. Factor h(l).\nAnswer: -l*(l - 2)**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -8623, -34790, -78417, -139504, -218051, -314058, -427525?\n\"Answer: -8730*b**2 + 23*b + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/5)\/((-1)\/(-5)). Let m = k - -7. Suppose -m*a + 565 = 2*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, y: 4}. Give prob of picking 3 y.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -213966, -427929, -641892, -855855, -1069818, -1283781?\n\"Answer: -213963*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1209.269 rounded to the nearest ten?\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5 and 84\/(-20)*(6 + -11)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37088 = 145*u - 131*u + 5*n, 2*u = -5*n + 5264. Calculate the highest common factor of 34 and u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 - -7. Sort d, -0.2, 0.2 in increasing order.\nAnswer: -0.2, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v - 4*v - 2*v**3 + 2*v)*(439*v**2 - 186*v**2 + 413*v**2).\nAnswer: -1332*v**5 - 1332*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 581 = -18*a + 455 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 - -2)*-1 + 3. Let y be a\/(-8)*-2 - -32. Suppose 9*z = 6*z + y. Calculate the greatest common factor of z and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -4, -138, -370, -706, -1152, -1714, -2398?\n\"Answer: -j**3 - 43*j**2 + 2*j + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 8 = -22. Let s = 16 - z. Let r(m) = 27*m**2 + 2*m + 6. Let k be r(-2). Calculate the highest common divisor of s and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16*b**5 - 5*b**3 + 123*b**2 + 199*b - 49?\nAnswer: -320*b**3 - 30*b + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -77230 rounded to the nearest 1000?\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m + m = 784. Let n = -72 + m. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27727020, 27727018, 27727016, 27727014?\nAnswer: 27727012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + 1 + 2)\/(11\/11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.11 + -0.11. Which is the closest to 0.1?  (a) 3  (b) 0.2  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes before 2:56 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 + -5. Find the second derivative of 2*z + z + z - z + 3*z**n wrt z.\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = 3*c - 76. Let t = c + -6. What is the derivative of -p**2 - 3 - 3*p**2 + t*p**2 - 5*p**2 wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eehpphoo. What is prob of picking 1 e and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes after 8:42 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence epct when four letters picked without replacement from {n: 1, t: 1, e: 2, c: 3, p: 5, b: 1}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/5 - 2923059*f**2\/5.\nAnswer: -f**2*(f + 2923059)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 161185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 5*v + 5. Let m(q) = -9*q - 11. Let b(c) = -7*k(c) - 4*m(c). Let p = -29 + 20. Let j be b(p). Round j to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(1900) + -1.\nAnswer: -6 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(119) - (sqrt(119)*2*1 + sqrt(119))))\/(-1*sqrt(175)*5).\nAnswer: 12*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 2\/7, 0.4, 5\/2, -1\/18 in ascending order.\nAnswer: -5, -1\/18, 2\/7, 0.4, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 4229783.099 + -0.4\nAnswer: 4229782.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from timxx. What is prob of sequence mi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*d = -25*d - 52 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 100302944 and 100864.\nAnswer: 6304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/(-6) - (70\/11)\/(-2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25705266 (base 8) to base 15.\nAnswer: 784d62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 0*y + 8 = 0. Let g = 7 + y. Suppose -l = -0 - g. Solve 0 + l = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 2900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.645495 rounded to two dps?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15 + 11. Let o be (7\/28)\/(1\/p). Let u be -3 + 2 - 4\/(-5). Which is the second biggest value?  (a) o  (b) u  (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 8044.516m?\nAnswer: 804451.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 69.9872 times -375\nAnswer: -26245.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cgghmpj. What is prob of picking 1 c and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 3*d**2 - 3 - 1 + 3*d - 4*d - 2*d**2 + 1. Determine z(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00322 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 AM and 3:43 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2850638010 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -62*v - 2 - 96*v**2 - 72*v**2 + 127*v - 64*v in the form r + h*v**2 + a*v and give h.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 0.4, -0.5, 0.08?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (42\/49)\/((-4)\/(-14)). Factor j**2 + 4*j**2 - 2*j**2 - 3*j**l.\nAnswer: -3*j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7757 - -7781. Solve 4*o = -4*t - r, -t - 2*o - o - 8 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2393 + -266. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 4:08 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 356 + 32. Let u = t + -55. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1757335317 to the nearest integer?\nAnswer: 41921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -26*o - 706. Calculate d(-26).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -208, -4\/5, -4, -0.1, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 37*r**2 + 6. Let o(m) = 74*m**2 + 13. Let b(n) = 13*f(n) - 6*o(n). Let y(d) = -871*d - 874*d + 1743*d. Calculate b(y(k)).\nAnswer: 148*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/3, -0.23, 1\/3, -4591?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = f - 1, 2*q + 6 = 2*f. Let m(i) = i**3 + 9*i**2 + i + 7. Let x be m(-9). Sort -3, q, x in ascending order.\nAnswer: q, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4.1, 0, -417?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3136 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the second derivative of 683*f**3\/3 - 2245*f. Let p(n) = 2*n. Calculate p(r(u)).\nAnswer: 2732*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 33*a**3 - 2*a - 1. Give l(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + p + 1, 3*f + 2*p = 4*p - 3. Let i be 0 - 2 - (-1 - 1). What is the derivative of -5*g**3 + i + 4*g**3 - f wrt g?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 + 6*g - 85. Let t = -374 - -525. What is the remainder when t is divided by b(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*r + 7*r + 112 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -78 + 56. Which is greater: l or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:03 PM and 9:41 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1147 and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 223313718 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 - 11*z**2 - 13*z + 14. Let r(a) = -6 + 3*a + 0*a + 3*a**2 - 10*a**3 + 9*a**3. Let c be r(4). What is the units digit of s(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -141139, -141144, -141153, -141166?\nAnswer: -141183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**2 + 22*o - 105 = 0 for o.\nAnswer: 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 3*k = -q - 184551, 3*q = -k + 138417. List the prime factors of (q\/(-8))\/15*-2.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12296 is divided by 5528.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 164 and 25552.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 1388*l + 44. What are the prime factors of a(1)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/23?  (a) -2\/7  (b) 5  (c) -36  (d) -1\/2698\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 207257.\nAnswer: 207257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 194*l + 19407. Determine k(-100).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -14, 0, 4048, -1 in ascending order.\nAnswer: -14, -5, -1, 0, 4048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c = -0*c + 520. What is the highest common divisor of c and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30 is divided by (11\/33)\/(2\/66)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -32*k + 961. Let p be d(30). Solve 3*r = -u + 15, -2*r + 11 = u + p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 106400137 + 43?\nAnswer: 106400202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 121.5095 to the nearest integer.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 i when three letters picked without replacement from ibbbbvbvvv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.995058 rounded to two decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 120\/29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 5*z**3 + 30*z**2 - 15*z - 40. Let j(w) = 2*w**3 + 10*w**2 - 5*w - 13. Let m(x) = 3*a(x) - 10*j(x). Factor m(l).\nAnswer: -5*(l - 1)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-3)\/c*c)\/c*c)**(-2\/141)*(c\/((c\/(c*c*(c\/(c**(-1)\/c))\/c))\/c))**38 assuming c is positive.\nAnswer: c**(8932\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 27499 and 206114?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 283024 - 283024 - 4*a**2. Let y(k) = 9*k**2 + 2*k - 2. Let q(g) = 18*g**2 + 5*g - 5. Let w(j) = 4*q(j) - 10*y(j). Determine o(w(p)).\nAnswer: -1296*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 663347 is divided by 94520.\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3*v**3 + 4*v**2 - 4*v - 36. Let j(o) = -5*o**3 + 7*o**2 - 7*o - 71. Give -7*a(t) + 4*j(t).\nAnswer: t**3 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107685290 is divided by 1241?\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a meter in centimeters?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -340186, -340181, -340176, -340171, -340166, -340161?\nAnswer: -340156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 4*p, 4104 - 4110 = -2*d + 3*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.7 + 3.7. Which is the third biggest value?  (a) 2\/3  (b) l  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 9, 32, 63, 102, 149?\n\"Answer: 4*s**2 + 11*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 159 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 - 1\/(4\/(-904)). Suppose j = g + 223, -5*g + v = j - g. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-66)*462\/30240*-15?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4 from 328067084044.\nAnswer: 328067084043.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 4*h - 203 = 2286, 3*h = 4*l - 3277. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert 6.607468 kilometers to meters.\nAnswer: 6607.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 551745163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -5*d**3 + 4*d + 4. Let c(j) = -99*j**3 + 81*j + 81. Suppose 9*y - 2025 = -16*y. What is y*p(z) - 4*c(z)?\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**3 + 15*l**2 + 15*l + 4. Let b be w(-14). Let f = b - -6. Let o(u) = u**3 + 4*u**2 - 4*u + 1. What are the prime factors of o(f)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -138418 divided by -14?\nAnswer: 9887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**4 - 6*b**3 + 7*b**2 + 3*b - 3. Let m(o) = 6*o**3 - 6*o**2 - 2*o + 2. Let i(v) = 3*m(v) + 2*u(v). Factor i(x).\nAnswer: -2*x**2*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 53 + (-3)\/3*-2. Suppose -v = -2*y - g, -5*v + 3*y + 108 = -3*v. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffs when three letters picked without replacement from fflsflfffffflflvf.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -3*r - 2. Let k(y) = -y - 1. Let w = 2 - 2. Suppose 4*a = 2*f - 18, w = -3*a - 3*f + 2*f - 6. Suppose -30*m + 49 = -23*m. Calculate a*o(j) + m*k(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 1 = -5*h, 6*t - 77 = 3*t + h. Suppose 4*u + 2*v + 35 = 161, -u + t = -2*v. Solve u + 10 = 8*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*f + 2*f. Let m(r) = f*r - r - 1 + 0*r + 0. Give m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -3*v**3 + 2*v**2 - v - 1. Does 11 divide n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 6 - 26 = 0. Let o be (9\/6)\/((-3)\/(-34)). Let t = o - r. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -13*i + 308. Determine g(13).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10605739*p**4 - 3*p**2 + 2*p - 4662?\nAnswer: -254537736*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56318312.\nAnswer: 2, 7039789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 314497.\nAnswer: 314497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 29841 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-8) - (-731)\/172?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7485 - -14987\/2. Let i(m) be the second derivative of -3\/4*m**4 + 0 - 15*m**2 - 24*m - u*m**3. Factor i(r).\nAnswer: -3*(r + 5)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from udkkyuudu. What is prob of picking 2 d?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 + 11. Suppose 208 = a*q + 28. What is the greatest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*154.1\nAnswer: 61.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -316476 and 0.49.\nAnswer: -155073.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -9\/10  (b) -2\/3  (c) 5  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 28, -81.44687, -4\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 174*t**2 + 1641*t**3 + 56*t - 60*t - 1639*t**3 - 33*t**2 to n + c*t**3 + h*t**2 + w*t and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -195, -3, -4581.\nAnswer: -4581, -195, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.0163706431 + -25.9836310569. Let u = -25.95 - 0.05. Let m = u - l. What is m rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2174\/35 + -926\/15. Let u = 0.4 - -0.6. Which is smaller: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n + 24. Let g(l) = l - 23. Let j(d) = 6*g(d) + 7*y(d). Is j(0) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4441895 is divided by 684.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*a + 0*a + 3*a)*(2*a**4 + a**4 - 5*a**4)*(16 + 125 + 30).\nAnswer: 342*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10800 + 11472. Solve -53*j - 31*j = w for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 40 + -24. Suppose 0 = -2*i + i + l. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 162420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17.988 - 0.012. Let k = 189.2 - 166. Let l = k + t. What is l rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_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: Is -53 less than -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -19, -1, -0.2, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is af35fb1 + 1?\nAnswer: af35fb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/((-28)\/(-7)))\/(2\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(1\/7)*y)\/(y\/(y**(5\/2)*y)))**(1\/13) assuming y is positive.\nAnswer: y**(51\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 + 9*y**2 + 6. Let z be o(9). Let p = z - 3. Suppose 0 = -p*q, 4*q - 86 = -3*v + 133. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/300 and -19\/174.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 21 = 4*f + 4*l, -3*f = l + 22. Let x be (-3)\/f*3 - 1. Solve -5*p + 4 = 4*i, -2*p + 6*i - i + 28 = x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 + -20. Suppose -4*q + 3*u + 6 = -9, 3*q + 2*u - 7 = t. What is the second derivative of -d**q - 3*d**2 + 3*d**2 + 17*d - 25*d wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9664 and 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 3)*(2*k + 0*k + k + 2*k + k - 2*k + (2*k + 0 + 0)*(-3 - 1 + 5))*(6*k**2 + 17*k**2 - 9*k**2).\nAnswer: -84*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + (-4 - (1 + -15)) + 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-129)\/(-27) + (-2)\/(-9). Let w(d) = 6*d**2 - 7. Let s(l) be the first derivative of -3 + 4\/3*l**3 + 0*l**2 - 5*l. What is a*w(f) - 7*s(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, -2\/11, -1594?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*y**4 + 2519*y**3 - 13*y**2 - 11138561 wrt y.\nAnswer: -8*y**3 + 7557*y**2 - 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 8*l**3 - 11*l**2 - 59*l - 170. Let g(b) = -4*b**3 + 6*b**2 + 30*b + 68. Let r(m) = 5*g(m) + 2*j(m). Factor r(f).\nAnswer: -4*f*(f - 4)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1313 - 98 = 34*c - 289 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -31086.817694 and -5?\nAnswer: 31081.817694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -57, -157, -257, -357, -457, -557?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8982 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 - 11*l**2 - 10*l - 15. Let j be (4\/3*1)\/((-108)\/(-972)). Determine y(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30 - 58 + r**2 + 164)*(565*r - 139*r**3 - 565*r).\nAnswer: -139*r**5 - 10564*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 + 2)*(q - 41 + 22 - 3*q) - q - q + q + (5 + 0 - 4)*(-2*q + 2*q - q) - q + 0*q - q.\nAnswer: -6*q - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c = -3*u - 6598 + 6611, 13*u - 23 = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 1 + (-15 - -16) - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 5*v = -5*o + 137, -o + 149 = 4*v. Suppose 0 = 4*h - v + 2. What is the highest common factor of h and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13000785 to the nearest integer?\nAnswer: 3606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2327620247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 716 is divided by 316.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/(-10) + (354504\/(-70))\/((-182)\/7007) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -65 + 35. Let w be (-1)\/(-3) - 5\/p. Find d such that 0 + d - w*d**3 + 1\/2*d**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 34, 90, 190, 346?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1876 = -4*i - 764. Let c = i - -1164. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.24*0.0566.\nAnswer: -0.013584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00883254 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 AM and 3:18 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of 0*g**6 + 0*g**2 + 0*g**3 + 113*g - 43\/6*g**4 + 51\/20*g**5 - 1\/21*g**7 + 0. Find the third derivative of k(l) wrt l.\nAnswer: -120*l**2 + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the third derivative of b**4\/24 + 4*b**3\/3 - 134*b**2. Let v = 4 + -3. Let w be v\/(1*2\/(-12)). Calculate g(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 + 461*m + 42377. What is b(-79)?\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 - 8*r**2 + 14*r + 20. What is d(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 691?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10038.155 + -10038. Let u = 0.355 - 0.4. Let b = o - u. Which is bigger: -0.37 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.4  (b) -9  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 - -8. Suppose -2*i + 41 = 33. What is the third derivative of l*m**i + 9*m**4 - 14*m**4 + 11*m**2 wrt m?\nAnswer: 216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2613 + -1479. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26375466 divided by 4395911.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z - 4*z + 17*z + 3*z**2 - 15*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of 2\/3*l**3 + 0*l**2 + 5 + l. Differentiate c(m) wrt m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -3*z**3 - 4*z + 2032. Let g(x) = -x**3 - x - 2. Determine -4*g(k) + o(k).\nAnswer: k**3 + 2040","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/(-1085))\/((-253)\/(-1771))?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*v + 3. Let q(r) be the first derivative of -1\/2*r**2 + v*r + 3. Let l(m) = -3*m. Calculate q(l(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 254415252 a multiple of 5614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ypveluup. What is prob of sequence vpp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -790*s. Let h(l) = 3*l**2 + l + 694. Determine h(n(x)).\nAnswer: 1872300*x**2 - 790*x + 694","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (41\/(-82))\/(10\/(3 - -537)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 5*((sqrt(720) - (-1 + sqrt(720) + sqrt(720))) + 2*sqrt(720)))**2.\nAnswer: 120*sqrt(5) + 18001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 48\/21 - (-8)\/(-28). Let y be r*1 - (-10 + 3). Suppose -y*m = -3*m - 174. Solve -5*v + s + m = -3*s, v = -5*s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -26 + 28. Let i be 10 + (w - (-14)\/(-2)). Solve p = -i*u - 2*p + 37, -8 = -2*p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 5*i + 3*i - 16*i + 10*i. Let u(x) = -10*x**2. Give l(u(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + (-3 + 2)\/(1\/(-8)). Suppose -5*z + g = -y - 3, 4*z = 12. Solve -5*b - y + 1 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 5 - 4 - 8*w**3.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3224, -3223, -3222, -3221, -3220?\n\"Answer: r - 3225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20.66 + 69.44. Let o = -90 + x. Let k = 0.1 + -0.3. Which is the third smallest value?  (a) k  (b) o  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1c5 + 11?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 2*u = 12, 5*v = 3*u + 848. Is 38 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -2*y**3 + 5*y**2 + 44*y - 177. Give l(5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 - 7. Let s(t) = 2 - 9 + 2 + 5 - 1. Let f be (0 + 7)\/((-3)\/(-6)). Give f*s(d) - 2*p(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-45)*(156\/(-8))\/(-13)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4444)\/(-12) + (-3)\/9. Suppose s - 3*c = 186, 10*s + 5*c + p = 12*s. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {o: 1, f: 4, x: 2, v: 2, a: 4, y: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(2\/5)\/h)\/(h**(1\/2)\/h))\/((h\/(h*h*h\/h**6*h*h)*h)\/h*h\/h**(-5)) assuming h is positive.\nAnswer: h**(-81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 3840*m - 2663. What is the ten thousands digit of r(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.03 and -12867755.2.\nAnswer: -12867755.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 413*w - 1722 - 24 - 7340 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**4 + 0*r**4 - r**4 + (2 - 2 + r)*(181 - 181 + 26*r**3) + (-r - r - r)*(0*r**3 + 0*r**3 + r**3).\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = 6*v - 3*f, 9*v + 10 = 6*v + f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 184*q**4\/5 + 155108*q**3\/5 - 626212*q**2\/5 + 481084*q\/5 - 10164\/5 = 0. Calculate q.\nAnswer: -847, 1\/46, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 20\/(-110) + 64\/(-11). Let r(v) = 2*v + 13. Let t be r(l). Let x(y) = 130*y**2 + 5*y - 5. List the prime factors of x(t).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from hixkjjx.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - -a12a?\nAnswer: a131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7635 or 236700\/31?\nAnswer: 7635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 67 * 927.\nAnswer: 62109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -4*u**2 - 1208*u + 90004. Let a(x) = 10*x**2 + 2418*x - 180009. Let i(k) = -4*a(k) - 9*l(k). Factor i(q).\nAnswer: -4*(q - 150)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 - 65 = 5*a - 4*i, -3*a + 3*i - 48 = 0. Let z(x) = 194*x**3 + 197*x**3 - 14*x**2 - 382*x**3 - 10*x**3 + 29 + x - 9. Determine z(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1205 divided by -1005?\nAnswer: 241\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3*y + 3)*(-13*y**2 + 8*y**2 - 8*y - 2 + 6*y**2).\nAnswer: 3*y**3 - 24*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 15*m**3 + 15*m**2 - 2*m + 2. Let n = -64 - -62. Let o(a) = -a**2 - a + 1. Let h(r) = n*o(r) + d(r). What is the third derivative of h(q) wrt q?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-1*sqrt(175) + sqrt(175))*2*-1 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 48 - 72. Let c(l) = 4 + 3*l - 4*l + 3. Let y be c(-5). What is the highest common divisor of y and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 59*o - 21*o + 251 - 441. Sort -4, o, 35, -14 in ascending order.\nAnswer: -14, -4, o, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -25330 + 25328. Which is the closest to 2?  (a) 5  (b) 0.1  (c) 13  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -176, -316, -470, -638, -820?\n\"Answer: -7*j**2 - 119*j - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*x - 9*x = -21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 7987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of 5*o**3\/6 - 4*o**2 - 3*o - 7. Let x(i) be the first derivative of u(i). List the prime factors of x(18).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01104314 rounded to 4 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.9, 0, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(275) + sqrt(44)\/sqrt(4) + -5 + -2 + 5.\nAnswer: -6 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -209*d**3 + 429*d**3 - 221*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 5*p - 30. Calculate the remainder when h(14) is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -5*b + 2*b + b**2 - 5 + 4. Let d be -2*(-9)\/(-24)*48. Let z be (-120)\/d - 4\/3. Determine p(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of -41*h**7\/14 + 95*h**3\/6 - 5*h**2 + 118*h. Differentiate i(m) wrt m.\nAnswer: -2460*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 38*b**2 + 12*b**2 - 693*b - 735*b + 1452*b in the form v*b**2 + o + n*b and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, 5, -0.186, 3478 in decreasing order.\nAnswer: 3478, 5, -0.186, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvi when three letters picked without replacement from {s: 1, f: 5, v: 2, i: 6, u: 2}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oss when three letters picked without replacement from {s: 5, o: 15}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 1 = -2*x - j, 0 = -j. Suppose l + 6 = 2*l. Let k = l - 6. Put -5, x, k in descending order.\nAnswer: k, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 - 19*v**2 + 37*v - 29. What are the prime factors of j(-21)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 163 (base 7) to base 10.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 198\/18*(-1)\/(-1). Let q = 9 - a. What is the nearest to 2\/3 in -3, q, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -563600 (base 7) to base 6\nAnswer: -2045512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 PM and 12:30 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/(-336))\/(146\/(-511))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*f = -29107 + 28855 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 6*s - 10*s + 5*s**2 + 4*s. Let a(b) = -7*b**2. What is a(d(o))?\nAnswer: -175*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 192*i**3 - 12*i**2 + 2*i - 6. Let f(h) = -190*h**3 + 10*h**2 - h + 5. What is -6*f(b) - 5*r(b)?\nAnswer: 180*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - 214444014340?\nAnswer: -214444014332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 2 b, and 1 p when four letters picked without replacement from bbfppbpfwfq?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 3339769 * -4\nAnswer: -13359076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 84960 and 20355?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-285.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 142*x - 71*x - 71*x - 6*x**2 + 0*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the third derivative of -1\/30*j**5 + 0*j**4 - 3*j**2 + 0 + 0*j + 0*j**3. Let i(n) = n**2. Give i(g(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -bc6bd9 (base 14) to base 9\nAnswer: -13027428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -303*k**2*u**4 + 46*k**2*u - k*u**6 + u**3 - 11*u**2 wrt u.\nAnswer: -7272*k**2*u - 120*k*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -543805 and -2?\nAnswer: 543803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 279367443501 + -279370117903.00074. Let k = v + 2674362. Let j = k + 40. What is j rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 161009.\nAnswer: 161009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum -34 and -0.056.\nAnswer: -34.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 281.22 * -0.3\nAnswer: -84.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2498 is divided by 361.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/4*((-48)\/33)\/2. Put -5, 6\/13, 5, g in increasing order.\nAnswer: -5, g, 6\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 488 + 422 = -6*f, -r = 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39, -106, -195, -306, -439, -594, -771?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -7.7. Let t = 54 - 49. Suppose 1 = t*b + 16. Sort 0.4, i, b in decreasing order.\nAnswer: 0.4, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence inii when four letters picked without replacement from {n: 8, i: 3, y: 4, s: 2, x: 1, c: 2}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -32*s + 28*s - 2*h, 5*h = 5*s + 20. Let d(x) = x**3 - 7*x**2 - x + 6. Let u be d(7). Put 4, s, 3, u in ascending order.\nAnswer: s, u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -33335 - -33339. Solve -4*o + 32 = -3*k + 55, 4*k = -x*o + 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l = -4*r - 1, -4*r - 3 = 2*l + 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -232 (base 6) to base 13\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -26\/17  (b) 13964  (c) 4  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30436 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g\/g**0*g*g)**(-30)\/((g**(-1\/4)*g)\/(g*g*g**(2\/11))) assuming g is positive.\nAnswer: g**(-6537\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.08*6986.\nAnswer: 558.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2058) - (sqrt(2058)*-3 - sqrt(2058) - sqrt(2058)))*2*-5)\/(-5*(sqrt(294) + sqrt(294) + (sqrt(294) - 5*-4*sqrt(294)))).\nAnswer: 12*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.05, 0.2, 3, -0.5, 217?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 9:53 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 39911228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 230624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {d: 1, e: 2, q: 3, n: 3, f: 10}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -147*p**3 - 3*p**2 + 3*p**2 + 73*p**3 + 71*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -3*d - 1. Let v = -1 + -1. Let a be k(v). Suppose 0 = -b - b + 5*m - a, -4*b - 5*m = -5. Solve b = -5*p - 4*s - 4, 5*p - 12 = 4*p - 4*s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28683\/5 + -5908. Let f = 172 + u. Which is the closest to -0.1?  (a) 0  (b) f  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tetfmmzkffftztzzm. What is prob of sequence kmme?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaaaaaaaaa. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 52390147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -42300 rounded to the nearest 1000?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-10) + (-1011)\/(-15) + -3. Do m and 64 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 4*u**2 - 2*u - 2. Let o be j(-2). Let m = o - 5. Suppose 1 = -4*k + m. Solve x - k*v - 7 = -2*v, -2*v - 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) 143  (c) 3\/2  (d) -4053\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*o - 11*o = 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 204991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 7912489847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ouuuuuuouuuuu. Give prob of sequence oo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3274 - 173003?\nAnswer: -176277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 483 - 1010. Let z = y - -1648. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -36 - -36. Suppose v = 15*j - 11*j - 12. Solve -12 = j*l + l, 4*w + 3 = -l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -14 + 924\/70.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of 19\/3*y**3 - 1\/2*y**2 - 111 + 0*y - 131\/4*y**4. Find the third derivative of o(n) wrt n.\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 62465 and 2.\nAnswer: 124930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d**3 - 137*d**2 + 69*d + 10. Calculate the remainder when 339 is divided by x(68).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/36 and -99\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 - 30*b**2 - 32*b + 41. Let d be c(31). What is the highest common factor of 270 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -28 + 5*o - 11*o + 9*o to the form h*o + c and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 54 and 10926.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 251806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 + (-291)\/45)\/((-2)\/(-5))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/((-40)\/(-6)))\/(1\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9720 + 9745.228. Let f = w - -0.172. What is f rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2094, -3790, -5488, -7188, -8890, -10594, -12300?\nAnswer: -14008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -339419, -339420, -339421, -339422?\n\"Answer: -h - 339418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 38 + -19. Let z = 22 - -8. Suppose -a + 6*a - z = 4*n, 5*a - 3*n - 25 = 0. Solve 0 = -a*o - 8, -2*l - w = l + 4*o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -6*u - 30. Let k be b(-5). Suppose k = 9*z + z - 120. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(2100) - (sqrt(2100) - (sqrt(2100) - -2*sqrt(2100)))) + sqrt(2100) + sqrt(21))\/((sqrt(24)\/sqrt(2))\/sqrt(4)).\nAnswer: 123*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (5 - -1)\/((-1)\/(-4)). Let l = -5 - -9. Suppose -l*q + q = m. What is q rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t**2\/2 - 180*t - 1950 = 0 for t.\nAnswer: -10, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t - 49*t**3 + 0*t**4 + 2*t - 3*t**2 + 46*t**3 - t**4.\nAnswer: -t*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = -2*y + 12, 0 = -s + 5*y - 12 + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -2*d + 0 - 3 - 6. Let y = 16 + -22. Let f be p(y). Solve -5*i + 15 = 0, 3*m - f*i + 3 = 2*i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k - 8. Let p be v(-10). Let j = 8 + -3. Suppose 0 = -2*w - j*s + 2*s + 19, -5*w + 25 = 3*s. Solve w*c + p = 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 1677*l + 461155. Give k(-275).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lfrfdyrfyr. What is prob of picking 2 f, 1 d, and 1 r?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n + 0*n + 3*n + (1 + 1 - 3 + 3 - 1 - 4 + (0 - 3 + 1)*(0 - 1 + 0) - 2 + 3 - 2)*(738 + 743 - n - 1473).\nAnswer: 3*n - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 19\/57 - 3\/18. Find a, given that -j*a**3 + 0*a + 0 + 1\/6*a**5 + 1\/6*a**2 - 1\/6*a**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*l + 3 - 23*l - 3 + 13*l.\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2*b**2 - 14*b + 4. Let g(s) = s**2 - 17*s + 4. Let q(m) = 3*c(m) - 2*g(m). Solve q(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 + 9*g**2 + 6*g - 11. Let t be -11 - (-1)\/((-4)\/(-12)). What is the units digit of l(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - b)*(13*b**3 + 429*b**2 + 3*b - 429*b**2).\nAnswer: -13*b**4 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fzf when three letters picked without replacement from gzfgffffddndndgf.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (1\/(-2))\/(3\/18) + (18 - 7) and 5598?\nAnswer: 22392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2363)\/(-417) - (-2 + (-24)\/(-9)). Let s = 0.4 - -1.6. What is the nearest to s in v, 5\/4, 0.2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0181 * -6.1.\nAnswer: 0.11041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 209326, -29, 2, 5 in descending order.\nAnswer: 209326, 5, 2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 - 8*l**2 - 826*l + 30. Let w be y(33). Let u(i) = -7*i**2 - 11*i + 5. Let a(v) = 4*v**2 + 5*v - 3. Give w*u(t) - 5*a(t).\nAnswer: t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 3*x**3 - 23*x**2 - 4*x - 26. Let m be u(8). Suppose -5*t + 235 = 5*s, -157 = -3*s + 11*t - m*t. Calculate the remainder when 164 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 2 + 3*a**3 + 2*a**3 - 7*a**2 + 7*a - 3*a**3 - 8. Let t be f(4). Suppose -b + 116 = t. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12233777557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.4 - 9.2. Round z to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8099 + -7834. Solve y = -7*z + 244 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 5, -v + 12 = 5*b + 5. Suppose 2 + 6 = v*j. Suppose j*u = -3*q + q + 32, 25 = 3*u + 2*q. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-264)\/308 - (-132)\/7. Calculate the highest common divisor of 45 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -84, -2, 3\/7, -271, -0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the third derivative of 0*g**4 + 0*g**6 + 0*g**3 - 2\/15*g**5 + 0*g - 11\/210*g**7 + 26*g**2 + 0. What is the third derivative of p(y) wrt y?\nAnswer: -264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -118682365, -118682367, -118682369?\n\"Answer: -2*b - 118682363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/(a*a**(-1\/15)\/a*a))*a**3*((a**(-3)*a)\/a*a)\/a**(-2))**38 assuming a is positive.\nAnswer: a**(2242\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3863282, 7726532, 11589782?\nAnswer: 15453032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -633 - -5?\nAnswer: -62a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -849821*w - 4717 = -849732*w for w.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 PM and 9:37 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**0)**(29\/4)\/(b**(-2)\/(((b**(-3\/7)\/b*b*b*b)\/b)\/b)) assuming b is positive.\nAnswer: b**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 0) + (-18 - -9) + -15 + 26.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/2*20\/6. Suppose 3*k - 1 = 2*s, -4*s - 13 = k + u. Let i = -7 + 7. What is the closest to i in 2\/5, -1\/3, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -31 - -25. Let m be 2 + q - -4 - -2. Suppose -5*w + 2*w = -57. Solve -s + 4*s - 9 = -m*p, -2*p = 5*s - w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bfqw when four letters picked without replacement from mbqqqqfqfbfqwff.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of 43*f**6\/6 + 121*f**4\/12 - f**2 + 80*f + 1. What is the third derivative of x(c) wrt c?\nAnswer: 5160*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-4)\/6)\/((-6)\/18). Let p(w) = -9*w**i + 4*w**2 + 4*w**2. Let k(g) be the first derivative of 3*g**3 + 13. Determine p(k(v)).\nAnswer: -81*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*s + 11*s - 4. Let b(r) = 14*r**2 + 2*r - 2*r - 11*r**s. Let j(k) = -3*k**2. What is j(b(f))?\nAnswer: -27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -1230*v - 2506. Let k(c) = -2457*c - 5015. Let g(a) = -7*f(a) + 4*k(a). What is the derivative of g(o) wrt o?\nAnswer: -1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 25070*d + 2 - 25618*d as t + o*d and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*q**3 + 0*q**3 - 2*q**2 + 7*q**3 - 6*q**3 - 40 + q to the form o*q**3 + s + c*q**2 + p*q and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 237194*k**3 - 118574*k**3 - 118551*k**3 + 17 - 26 + 9 + 4*k**2.\nAnswer: 69*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (42\/231)\/((-456)\/(-528)).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52637105.\nAnswer: 5, 10527421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 99301600 and 13066000.\nAnswer: 496508000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -33919*u*v**3 + 3990*u*v**2 + 2*u*v - 2*v**2 wrt v.\nAnswer: -203514*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2274592 is divided by 53?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the third derivative of i**3\/6 - 3*i**2. Let c(b) = -16*b - 4. Let j(o) = 22*o + 4. Let y(x) = 4*c(x) + 3*j(x). What is -5*k(g) - y(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2. Let u(h) be the second derivative of -40*h**3 + 608*h. Determine r(u(o)).\nAnswer: 57600*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*m - 26138*m**2 + 8714*m**2 + 28*m + 8712*m**2 + 8714*m**2.\nAnswer: 2*m**2 + 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.1 - 0.3. Let l = 37.9 + -38.059. Let i = l - 0.241. What is the smallest value in i, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -55*p**4 + 3*p**2 - 193 wrt p.\nAnswer: -220*p**3 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127940821 is divided by 172?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jffjfjjjjjfjjfjwj. What is prob of sequence jfjf?\nAnswer: 55\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/(-15)*1*-1. Which is the nearest to -0.1?  (a) -14  (b) 4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 u when three letters picked without replacement from ttdfktsfuftffkdt.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2*b**2 + 25*b - 80. Let t be j(5). Sort 5, 0, 9, t in decreasing order.\nAnswer: 9, 5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39858 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*m**4 + 33*m**2 - 54*m + 24 = 0. Calculate m.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**3 - 10*p**2 - p - 4. Let w be u(-9). Let z(h) = h**3 - 15*h**2 - 20*h - 6. Let y be z(16). Let k = y - w. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*l - 474 + 474 + (12*l - 4*l + 0*l)*(-6 + 2 - 7).\nAnswer: -77*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**7)**11 assuming u is positive.\nAnswer: u**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(2\/7)*p*p*p)\/p)**24)**7*((p**0)**(-30))**(3\/2) assuming p is positive.\nAnswer: p**552","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 7 = 5*x, 0*x + 1 = -x + 3*c. What is the units digit of x\/(-3)*492\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 2*m**2 + m + 1. Let a(t) be the first derivative of -4*t**3\/3 + 134*t**2 + 4620*t + 160. Let f(b) = -a(b) - 4*v(b). Let f(h) = 0. What is h?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -342*c**2*l**3 + 2*c**2*l**2 - c**2*l - c**2 + 2032*c*l**4 - 2*c*l**3 + 58*c - 7*l**2 - 396 wrt l.\nAnswer: -2052*c**2 + 48768*c*l - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 28.76 - 29.3. Let j = a + 0.539804. What is j rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 10 = 4*v, -2 - 2 = -4*v - 2*z. Suppose -2*b - 7 + 35 = v. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 117145 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13\/7 + -12\/7. Let y = 0.8021 - 0.8021. Which is the closest to -3?  (a) 0.2  (b) -5  (c) g  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 382 - -83.41.\nAnswer: 465.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -80191.602265 + 80192. Round b to 2 decimal places.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 244907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-45)\/(-10))\/(27\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h + 7*h - 6. Suppose -y = -4*w - h*y + 16, -w - 2*y + 4 = 0. Suppose -w*o = 4*j - 1872, 938 = 2*o - j + 5*j. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36, 22, -3 in decreasing order.\nAnswer: 36, 22, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 3 = 2*n - 2, 2*v - n = -4. Let b be (-13 - 357\/(-28))*-16. Sort -10, b, v in ascending order.\nAnswer: -10, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32 is divided by (8\/(-24))\/((-2)\/66).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/30, 0, -0.3, 4882 in descending order.\nAnswer: 4882, 0, -1\/30, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -10e0fe - 2?\nAnswer: -10e100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 73\/5 of a century in decades?\nAnswer: 146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 4*a = 4 + 2, -2*b - 3*a = -1. Let z = -1 + 5. Suppose z = i - 4*v, i - 2 = -2*i + 2*v. Solve b*j + 2 + 0 = i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/13, 1226, 0.23441?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 5, r: 2}. What is prob of sequence yyrr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 203*t**5 + 4*t**4 + 7*t**2 + 12*t + 4. Let f(j) = -j**5 - j**4 - 2*j**2 + j - 1. Let o(y) = -4*f(y) - h(y). Find the third derivative of o(m) wrt m.\nAnswer: -11940*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8027 by 349.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*n**2*x + 82*n**2 - 6*n*x**2 + n*x + 1149*n - 217*x**2 wrt x?\nAnswer: 4*n**2 - 12*n*x + n - 434*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 17, 3, -19, -49, -87, -133?\n\"Answer: -4*x**2 - 2*x + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -137c (base 13) in base 6?\nAnswer: -20555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 - 3. What is the remainder when 95 is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13935385?\nAnswer: 5, 103, 27059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71c71 (base 14) to base 5.\nAnswer: 32232412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 65227 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41532 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 321903, 321914, 321929, 321948, 321971, 321998, 322029?\n\"Answer: 2*o**2 + 5*o + 321896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1\/55, 0, -0.12, 55, -21, -0.5?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 4*p**2 - 4*p + 3. Let h(a) = 9 - 422*a + 13*a**2 - 377*a + 1171*a - 383*a. Calculate 11*g(b) - 4*h(b).\nAnswer: -8*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2546251\/525 - 4850. Let k(w) be the third derivative of 0*w**3 - 2*w**2 + 0 + 1\/300*w**6 + 0*w + j*w**7 - 1\/60*w**4 - 1\/150*w**5. Factor k(f).\nAnswer: 2*f*(f - 1)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/2 and -97\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**5 + 2*m**3 - 2*m**3 + 3*m**2 - 3*m**2 + m**5 + (0*m**3 - 2*m**4 + 0*m**3)*(0 - m + 0).\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*y - 54 = -6*o + 24*y - 1, 47 = 11*o - 2*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of f**4\/12 - f**3\/6 - 5*f**2 - 55*f. Let d be 6*(-2 + -2 + 3). Is w(d) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*g - 25 + 0*g**2 + g**2 + 25.\nAnswer: g**2 + 38*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from svm. Give prob of sequence vsm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 39*y + 100. Let f be t(19). Let w = -462 + f. What is the remainder when w is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 15250*j. Let i be t(-8). What is i rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d - 2 = 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wq when two letters picked without replacement from wwqqwwfxwfww?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -501385, -501379, -501371, -501361, -501349, -501335, -501319?\n\"Answer: d**2 + 3*d - 501389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 5*i - 658 = 0, -3*w - 2*i + 1974 = -0*i. What are the prime factors of w?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 446 + -396. Let z be (1 + (-3)\/12)\/(1\/20). Calculate the greatest common factor of z and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 6*k - 235. Is k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 644213 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8288 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 6067247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2.46 and -7.82?\nAnswer: 5.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 22 + 2 = 0. Suppose -c - 21 = -w*c. What is the remainder when 18 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25 + -21. Which is the biggest value?  (a) y  (b) 2\/7  (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -288*-0.5.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -145\/12 and 79\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or 509483?\nAnswer: 509483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -899\/5 - -179. Let m(x) = -3*x**3 + x + 1. Let j be m(-1). What is the third smallest value in -2, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 25 + -15. Let b be -1 + 2 + 0 + t. What is the highest common divisor of b and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2019, 16196, 54713, 129750, 253487, 438104?\nAnswer: 695781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 27 and 9747.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**8\/k)\/k*k**0)\/(k**(-2\/3))**(-25))\/(((k\/(k**(-10)\/k))\/k)\/k**(-5))**(2\/27) assuming k is positive.\nAnswer: k**(-320\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -35, -126, -285, -518, -831, -1230?\n\"Answer: -y**3 - 28*y**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5919 + 5928. Which is the second biggest value?  (a) t  (b) -8  (c) -3  (d) -63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(0 + (sqrt(48) + 4 - sqrt(3)))*-6*-5)**2.\nAnswer: 540000*sqrt(3) + 967500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4823 + -4828. Let j = 10.03 - 10. Which is the second smallest value?  (a) -1\/3  (b) o  (c) -2  (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 - -3. Let h = 12 + f. What is the second derivative of -5*g + 2*g + 6*g**4 - h*g**3 + 5*g**3 wrt g?\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7081 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -54 - -54.00000965. What is n rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(272)*-2)**2 - (sqrt(1088) + -1)**2.\nAnswer: -1 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 16 + 24 = -4*p, -6 = 2*p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -43, -77, -107, -133, -155, -173, -187?\n\"Answer: 2*k**2 - 40*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 205 + 3552?\nAnswer: 4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -528 = -2*b + 3*x - 133, 2*x = b - 198. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ah when two letters picked without replacement from {h: 2, a: 6, i: 7}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 9*(-2)\/4*96\/(-18). What is w in w**5 + 3*w - 4*w**3 - 3*w**2 + w**2 + i - 22 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 5*o - 5. Let y(r) = 26*r - 26. Give -16*w(c) + 3*y(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-1*((-5 + sqrt(2057) + -2 - (sqrt(2057) - (-1*sqrt(2057) + -4))) + 0) + -5)**2.\nAnswer: 132*sqrt(17) + 2089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 65 = 2*o - 3*o, -2*y + 35 = 3*o. Let p = -6 - y. Let s = p - -30. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9768.14948 - 0.234?\nAnswer: -9768.38348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -9605*s - 8440. Let a(b) = -48063*b - 42201. Let p(o) = 6*a(o) - 31*t(o). Differentiate p(j) with respect to j.\nAnswer: 9377","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 6. Let n = -1.4 + 1.6. Which is the second biggest value?  (a) 3  (b) n  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 230 is divided by 37?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*i - 44*i + 5*k + 15 = 0, -4*i + 8 = -3*k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, 1, -28, 0?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 11:19 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -3*v. Let y be -2 + (1 - -3) + v. Find the second derivative of i + i**5 + 2*i - y*i wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (80\/192)\/((-90)\/(-54))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 93182196 and 3636?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 47 + 14. Suppose -s = -4*h + 19. What is the highest common divisor of h and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4644 + -4647. Suppose -a = 4*p + 9, 0*p + 2*p + 9 = a. Let c = 3 - 7. Sort y, c, a in increasing order.\nAnswer: c, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(-5\/3)\/o)\/o)\/(o*o*o**(-17)\/o))**(-7\/4) assuming o is positive.\nAnswer: o**(-259\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 283*j + 1311*j + 1422*j + 427*j - 3 + 6.\nAnswer: 3443*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3148 is divided by 566?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2176 and 31484.\nAnswer: 1007488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -43.89 to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-5)\/(-25)*10 + (-8)\/(-66) and -8\/121?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 29598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -201, -403, -609, -819, -1033, -1251, -1473?\nAnswer: -1699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 2*(5*sqrt(48)\/sqrt(4))\/(sqrt(40)\/(sqrt(20)\/sqrt(2))).\nAnswer: -5 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -128 + -106 + 216 - (1 - 4)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5972a (base 11) in base 10?\nAnswer: 86063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -51227, -102446, -153665, -204884?\nAnswer: -256103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 7*b + 32. Let d = b + 4. Let v be ((-2)\/(-4))\/(d\/(-12)). Which is smaller: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 774 and 8635905?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 8\/9 - 2\/9*b**2 - 2\/3*b = 0. Calculate b.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1370*c**2 - 1375*c**2 + 63*c**3 - 77*c**3.\nAnswer: -14*c**3 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2170 divided by 10.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.108 + -0.9. Let c = -0.8 - v. Round c to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -100, -244, -486, -826, -1264, -1800, -2434?\n\"Answer: -49*a**2 + 3*a - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 5 + 2)*(-26 + 7 + 5)*(-2 - 3 + 6)*(-6*i + 0*i + 44*i).\nAnswer: 1064*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 5828\/(-29140) - ((-8)\/32 + 939\/(-20) + 1)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 41*b + 135215 - 459894. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6\/7?  (a) 77  (b) -2  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 371303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 17) + (15 - (-4 + 12))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 15\/4 of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/4 + 15 + -7 + -10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -m - 0. Let c = 816 - 774. Suppose -m*h + c = -58. What is the least common multiple of h and 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) -0.3  (c) -0.049  (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4149443426?\nAnswer: 2, 2074721713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/1104976 and 57\/483427.\nAnswer: 7734832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1079 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 103*b**2*r**2 - 2373*b**2 + 3*r**2 + 52227*r wrt b.\nAnswer: 206*b*r**2 - 4746*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v - 4*t - 56, 4*v + 3*t = 849 - 866 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.06 times -1?\nAnswer: 5.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 3*u**4 + 38*u + u**3 - 41*u + 4 - 4*u**4 in the form h + b*u + g*u**2 + z*u**4 + j*u**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-52992)\/322)\/64)\/(-3)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + -3383817?\nAnswer: -3383814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7 - 3267?\nAnswer: -3260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35343150 (base 6) to base 13.\nAnswer: -2c7975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24521215 is divided by 1019.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.009, 0.9, 0.4?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5562 plus 8?\nAnswer: -5554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 6*b - 5*b - 25288, 3*b = -4*t + 20226. List the prime factors of t.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9510?\nAnswer: 2, 3, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.45 + 1.4. Let h = g - -11.05. Which is bigger: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 0.3, -0.1, 10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11 + 10.97. Let u = 0.17 - i. Let m = 3\/5 - 36\/35. What is the second biggest value in u, 1, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -12 + 5 - s**3 + 2*s**4 + 1 - 6*s - s**2 + 5 in the form x*s**2 + p*s + d*s**4 + n + w*s**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum 6.79 and -92570108.\nAnswer: -92570101.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*v - 14*v + 19*v - 1 + v**2 to c + s*v + g*v**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(1539)*-1)**2*-1 + -1 + -2 + sqrt(19) + -3 + 3).\nAnswer: -4*sqrt(19) + 6168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 7*g. Let x(d) = -34*d + 1. Let t(u) = 11*v(u) + 2*x(u). Calculate t(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5.022 greater than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 6 = 2*s + 4*p, 0 = 3*s + 5*p + 13. What is the tens digit of 0 + (-2 - -60) - s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 4*z = -2 + 16, 0 = -5*p + 5*z - 20. Which is the second smallest value?  (a) 2\/3  (b) -2.2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/10)\/(5\/(-170))*(-15 - -10).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*x**2*z**3 - 134*x**2*z - 14*x**2 + 1061*z**3 + 5*z**2 wrt x.\nAnswer: -4*x*z**3 - 268*x*z - 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -404 divided by -4?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 16\/20 - (-2144)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 6*t**2 + 28*t + 144. Calculate v(7).\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = 5*n + 6*i - 15, -n - 5*i - 5 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.075451 times 0.1379?\nAnswer: -0.0104046929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 AM and 10:23 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 307696 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 3) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.068*-0.03389\nAnswer: -0.00230452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -54, -108, -162, -216?\n\"Answer: -54*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 97417.36ml in litres?\nAnswer: 97.41736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -9 + (2 - (-92)\/14)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1348684483.\nAnswer: 1303, 1035061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.0468 - -0.0468. What is the closest to n in 0, -3\/16, 1\/3?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x\/x**(-21)*x*x**(-20)*(x*x**(-4\/11))**(3\/11) assuming x is positive.\nAnswer: x**(384\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 + (-4)\/(-14))\/(9\/63). Suppose -5*n - 4*h = -22, j*n + 3*n - 1 = 3*h. Solve -3*t - 4*r = 19, -n*t = 2*r + 1 + 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -21\/8 and -85\/16248.\nAnswer: 16248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1779 - 13ac?\nAnswer: 3bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 462\/198*(-5 + 1265\/70)*-2\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 + m**2 - 1. Let o(x) = -7*x**3 + 7*x**2 - 2*x - 4. Let b(i) = -o(i) + 6*r(i). Does 6 divide b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22206 is divided by 3363?\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -5*l. Let z = 12 + -9. Let w(t) = -3*t - 2*t + z*t + 0*t. Give w(j(y)).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (196\/42)\/(1\/3*-1). Which is smaller: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 PM and 10:40 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1681930 to the power of 1\/2, to the nearest integer?\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/16)\/((-1)\/6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(99) - (0 + sqrt(99))**2)*4 + -5*(sqrt(44)\/sqrt(4) + 0 + (sqrt(11) - sqrt(121)\/(sqrt(176) - sqrt(11)))) + 4.\nAnswer: -61*sqrt(11)\/3 + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/18)\/((-2)\/(-102)). Find the second derivative of -17 - 2*i + b + 3*i**2 wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2*p + 1 + 0)*(33 - p - 33).\nAnswer: -2*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 10*y + 14*y = 12, -5*z - 4*y + 14 = 0. Let g(n) = -2 - n**3 - 1 + 2*n**2 + 0 + n**2. Determine g(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 2 + 2)*(y + 0*y - 4*y) - 4*y + 2*y - 3*y + (-3*y - 3*y + 5*y)*(3 - 1 - 3).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6846 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 - -10 - (-10 + 4 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -68, -144, -240, -362, -516?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*i + j - 16, 0 = -6316*i + 6321*i + 2*j + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 3*c - 5*r = 275, 0 = -3*r + 15. Suppose 3*k + 3*d - c = 0, -4*k + 2*k + 5*d + 65 = 0. What is the remainder when k is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5297 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 303\/(-27) - (-2 + 48\/27). What is the nearest to -1\/5 in k, 2\/9, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 21369, 42692, 63929, 85086, 106169?\n\"Answer: h**3 - 49*h**2 + 21463*h - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 6 = -r + 4*v, 0 = -r - 4*v - 6. Suppose -5*z - 20 = h, 0 = -0*h + 3*h - r*z - 8. What is the nearest to h in 2, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence byy when three letters picked without replacement from {r: 3, b: 2, u: 3, y: 10}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 238*l**2 - 18*l**2 + 79*l**2 to a*l + i + s*l**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m**5\/3 - 92*m**4\/3 - 760*m**3\/3 - 2632*m**2\/3 - 3332*m\/3 - 1372\/3 = 0. What is m?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-18)\/30)\/((-2)\/110). Let c = 17 + q. What is the remainder when c is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13?  (a) 6\/31  (b) 116  (c) 1\/3  (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -3, -3\/4, 973?\nAnswer: 973","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 197, 589, 1 in descending order.\nAnswer: 589, 197, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1056 + 1054. Let i = -15 + 46. Let g = -97\/3 + i. Which is greater: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 1225 - 1270 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + -1. Let f be (0 + 1)*(-1 - 0). Let b be (1 - 3)*(f - -2). Which is smaller: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3596 + -1.\nAnswer: -3597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 2100, -0.5, 0.55?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(19)*1 + -2.\nAnswer: -2*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.5  (b) 2\/29  (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Do -6 and -162\/35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20152 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 2\/11  (c) -2  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -2  (c) -47  (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.4, -7418, -2, 16, -0.059?\nAnswer: -7418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2081.\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 26184.26 litres in millilitres?\nAnswer: 26184260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9389 and 1524093.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 59360426 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange 193 + 103*g**2 + 206 + 57*g**2 - 392 + 6*g**2 to the form a*g + z*g**2 + s and give z.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 22 - 133 = 0. Suppose 12*q - 243 = -f. Solve -b - 12 = -q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a41 (base 16) to base 6.\nAnswer: 20053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hzb when three letters picked without replacement from {b: 2, k: 2, h: 2, z: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -52.29, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2 - 4*o + 2. Let v be y(-4). Let w = 5 - 7. Let s = -2.5 - w. Which is the third biggest value?  (a) v  (b) -5  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 657506957.\nAnswer: 23, 1063, 26893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 660, 637, 614, 591, 568?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of -25*u**7\/33 - 262*u**6\/33 - 493*u**5\/110 + 359*u**4\/33 + 20*u**3\/33 - 56*u**2\/11 - 466*u. Solve p(i) = 0.\nAnswer: -7, -1, -2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-94)\/(-141) - (-20)\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1624229 is divided by 58002.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 291 a factor of 774060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 696 and 230666?\nAnswer: 2767992","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - -14. Suppose 16 = -2*w - 5*k - 0*k, 0 = -3*k - 12. Suppose -p = -w*v - 16, 5*p + 7*v - 2*v - 5 = 0. Calculate the greatest common factor of d and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3254096876 to the nearest one hundred thousand.\nAnswer: 3254100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 8) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -105 + 125. Sort g, 0, 1, 5 in ascending order.\nAnswer: 0, 1, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*z + 5 - 13 + 16*z + 1 to the form y + p*z and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0.3, -1.9, 0.4 in ascending order.\nAnswer: -1.9, 0.3, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 268, 33719, 4 in decreasing order.\nAnswer: 33719, 268, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1479.9 - -1256. Let l = -357 - -143. Let i = l - f. Round i to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-415)\/20 + 2\/(-8). Let r be (-3)\/(-9) - (z\/9)\/7. Let 2 + r*w**2 + 8\/3*w = 0. What is w?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-443)\/(-4) - (-23)\/92?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.041 minus -23157?\nAnswer: 23150.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 12 - (-2 - (-3 - 0)). Let r = v + -16. Sort r, -4, 0.\nAnswer: r, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1546*g + 12415 = -43729 + 5126 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 + -5. Let s be 4\/(-3) - w\/(-2). Let p = -922\/7 + 132. Put p, -0.1, s in increasing order.\nAnswer: -0.1, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3875*r**3 + 1622.\nAnswer: 11625*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g. Let o be c(4). Let h be (-9)\/(-1) - (-1 + 13 + -8). What is the third biggest value in h, o, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -76 + 3?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the first derivative of y**7\/10080 + y**6\/540 - 16*y**3\/3 + 29. Let s(h) be the third derivative of l(h). Suppose s(u) = 0. Calculate u.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.375 + -181.625. Let l = a - -179. What is the nearest to -0.1 in l, -0.8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 18 = 3*t, -4*t - 22 = -4*l + t. Let k be -4 + 3 - -12 - l. Is 26 a factor of k\/14 + 4236\/84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3321\/(-26760) + 5*(-2)\/(-80). Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (155\/(-248))\/((-5)\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the third derivative of -c**8\/5040 + c**7\/1680 - c**6\/240 + c**5\/5 + 8*c**2. Let h(d) be the third derivative of x(d). Determine h(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -25 by -153.\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1\/3, -2\/3, 3\/5, 116, 437?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 64 - 32. Let a = j - 32.4. What is the third biggest value in a, -0.1, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2651 is divided by 348?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1696, 13599, 45906, 108817, 212532, 367251, 583174, 870501?\nAnswer: 1239432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75751 is divided by 4734.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 880*f**3 + 816*f - 2.\nAnswer: 5280*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9979377 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -293.6383 take away 44.7901?\nAnswer: -338.4284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.11 in 0.0329, 1805, -2\/11?\nAnswer: 0.0329","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03975892624 to 4 decimal places.\nAnswer: -0.0398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -89.75, -2.3, -1\/3, 3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1912355 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.1 - 6.9. Let d = c - -6.96. Let l = 0.08 - d. What is l rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mml when three letters picked without replacement from {l: 1, m: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 93102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:55 AM and 5:35 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hph. Give prob of picking 2 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 19?  (a) -2\/23  (b) 4  (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 + 138 = 5*v - 2*r, -2*r = 5*v - 125. Suppose -43 + 6 = -3*p + 2*f, 5*p = f + 50. Let o = v + p. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -9.85512732 from 5.465.\nAnswer: 15.32012732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13762, -54663, -122824, -218239, -340902?\nAnswer: -490807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oxkaoskxwxooxxooo. What is prob of picking 1 x and 1 a?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 90\/(-21)*(-10)\/(240\/56).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**4 + 50*l**3 + 412*l**2 + 1240*l + 1200.\nAnswer: 2*(l + 2)*(l + 3)*(l + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 112, 129, 146, 163, 180?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -1, 41, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aafavefay. What is prob of sequence yfae?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of 1\/24*q**4 - 11\/2*q**3 + 0 + 7\/15*q**5 + 52*q - 2*q**2. What is the derivative of o(g) wrt g?\nAnswer: 56*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10\/(-4)*(-1 - -3). Let m be 1\/((3\/5)\/(33\/11)). Suppose m + 7 = 2*b - 2*t, -4*t = 4*b - 16. Sort -3, k, b in descending order.\nAnswer: b, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 205, 0.5, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4065651328 minus -9520?\nAnswer: -4065641808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 954470708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + -2 + (2 - 0) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, u: 9, p: 3, h: 5}. Give prob of sequence pop.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -218*s + 216*s + 24 = 0. Suppose p + 35 - 8 = n, 5*n - 138 = 4*p. What is the highest common divisor of n and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -458 + 721. Calculate the remainder when d is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20843, -86768, -197771, -353852, -555011, -801248?\nAnswer: -1092563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1093822, -4375320, -9844484, -17501314, -27345810, -39377972?\n\"Answer: -1093833*x**2 + x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 7*s. Let k be r(-3). What is the units digit of 6\/k - 1410\/(-35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - l**2 + 1. Let m(u) = 7*u**3 + u**2 + 2*u - 4. Let i(w) = -m(w) - 6*t(w). What is the units digit of i(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/5, 7\/22, -0.5?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (62\/60 + 53\/(-265))*4\/30?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/117  (b) -0.1  (c) 5  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pyx when three letters picked without replacement from tzxpyyxxpyzyxzxzyzy.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -49\/146 + 9085\/3796. Calculate the common denominator of d and -1\/2.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173235 is divided by 161?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 2200200 (base 3) to base 10\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = -5*p + 31, -5*t + 7 = -4*p + 39 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 f, and 2 e when four letters picked without replacement from efeffeamef?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = 3*t + 1, 141*g + 4*t + 13 = 140*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -5*d**2 - d + 2. Let j(r) = -10*r**2 - 3*r + 5. Calculate 3*j(m) - 5*y(m).\nAnswer: -5*m**2 - 4*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 + 16*k**2 + 17*k + 33. What is d(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3290\/(-8225) - ((-82)\/5 + 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 11562964 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -167855 - 172597 = 9*r - 27*r. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 183210214?\nAnswer: 2, 11, 757067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cbb when three letters picked without replacement from cbccccccecccccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 39549882 and 4.\nAnswer: 158199528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9 and (0 - 136\/4)*54\/(-12).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/10*172\/129?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 o when three letters picked without replacement from {o: 1, n: 1, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 3*g = -32, -2*x - 3*g - 19 = 1. Let l be 2\/(-8) + (-7)\/4. Let t = -61 - -60. Sort t, x, l.\nAnswer: x, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2132031 and 21571.\nAnswer: 78885147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 + 12*w**2 - 3*w - 24. Calculate m(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2029938337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (-13509)\/(-5) - 156\/195 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((96\/(-10))\/(-3))\/(6\/15). Suppose -s = -2*b + 12, -b - 2*b - s = -c. Calculate the highest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -117684*w + 52094*w + 14867*w - 62592*w - 138509*w.\nAnswer: -251824*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2ea9919 + -2?\nAnswer: 2ea9917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 339*z - 354*z - 75 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -8*b**3 - 13*b. Let p(g) = 4*g**3 + 7*g. What is -7*p(w) - 4*z(w)?\nAnswer: 4*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 + 6*b + 13. Let y be j(-4). What is the second derivative of -2008*q**y - 33*q**2 + 2007*q**5 + q**4 + 4*q - q**4 wrt q?\nAnswer: -20*q**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/506 and 3\/137287.\nAnswer: 3020314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.1308 - 0.4408. What is the closest to k in 0.2, -6, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1900651249?\nAnswer: 7, 613, 63277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9)\/3 - (0 - 3). Let u = 125 - 120. Which is the smallest value?  (a) u  (b) 0.4  (c) x  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 - 10*m**2 - 5*m - 5. Let s(b) be the first derivative of -b**4\/4 + 5*b**3 + 7*b**2\/2 + 7*b + 861. Calculate 7*n(k) + 5*s(k).\nAnswer: 2*k**3 + 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -61 + -0.4906.\nAnswer: -61.4906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 344, 55, -554, -1483?\n\"Answer: -160*d**2 + 191*d + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1690 + -1686. Let y(i) be the first derivative of -c*i**2 - i - 12 - 1\/3*i**3. Calculate y(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 6 = 2*d, 0*d + d + 17727 = 2*l + 17725 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 28 = 2*p, -43*p - 1 = -38*p + j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 95*v**2 - v + 97*v**2 - 193*v**2. Let n(s) = 1. Determine 2*m(j) - 3*n(j).\nAnswer: -2*j**2 - 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 18945 divided by 5?\nAnswer: 3789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 5*o + 62 = -2*b, 5*o + 38 = -2*b. Let t be ((-2)\/12)\/((-30)\/b). What is the nearest to -0.2 in t, 4, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + s - 15 = -2*s, 5*s - 25 = -5*t. Suppose -k - 3*k = t. Does k = -3\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 5:57 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/251913 and 8\/114739.\nAnswer: 45092427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11100010101 + -100001011100110?\nAnswer: -100100111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.6 + -14.6. Let q = -11.9999998 - a. What is q rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 = 10*y - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -201545836066681 from 3.\nAnswer: 201545836066684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 12467 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 61 = -3*b + 2*b, -4*s - 5*b = -94. Let c(i) = -i**3 + 21*i**2 + i - 19. Let d be c(s). Solve -u - 7 = -d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand m + 0*m + 6*m - 18 - 6*m + 4*m + 6*m + (2 - 3 + 2)*(-2*m + 4*m + 0*m) + 3*m + m + 0*m + (3 - 6 + 2)*(-3*m + 3*m - 2*m) + 0*m + m + 2*m.\nAnswer: 22*m - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 188 divide 10722580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 242937 = 30*d - 15753. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, z: 16, m: 3}. Give prob of picking 2 m.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-779 - 627 + 1783)*(3*m + 0*m + 3 - 6*m) to the form h*m + x and give h.\nAnswer: -1131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*k - 283 + 2043 = 59*k. Calculate the highest common divisor of 4110 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9560 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: Let n = 9 - 4. Find h such that 4*h**3 - 3*h - n*h**3 + 4*h**3 - 4*h**3 - 4*h**2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 955 + -5?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of -107 - 1\/2*m**2 - 4*m. Suppose -q - 5 - 3 = 0. Calculate v(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 499 and 0.09939?\nAnswer: 49.59561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 338*w - 567*w - 1374 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 40345001 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.3 - 0. Let d = 66 + -152. Let x = d - -114. Put j, x, -2\/3, -5 in decreasing order.\nAnswer: x, j, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = 10*y + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 15216619?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, 1390, 0 in decreasing order.\nAnswer: 1390, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1944  (b) 2\/7  (c) -1\/513  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 31905 (base 14) to base 12\nAnswer: 59381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m + m - 2*m - 9 - 3*m. Let s be q(-6). Solve n + 3*g = 2*g - 3, 5*n + s = -2*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 - -5 - (-3)\/(-1). Let a be (3\/(-1)*(-7)\/42)\/(-1). What is the biggest value in 0, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 114.49 - 1.49. Let h = 194 - w. Let x = -81.1 + h. Which is greater: x or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-2 + 0 + -2 + sqrt(95)\/sqrt(5) + -2*sqrt(19) + -3)*6.\nAnswer: -38 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ororritoiirirti. What is prob of picking 2 i and 2 r?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (146\/2)\/((-40)\/(5520\/138))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.16 - 8.84. Let d = 33149 - 33148.9. What is the closest to d in q, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4926 or -4928?\nAnswer: -4928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -2*j**3 - 36*j**2 - 18*j + 44. Let q(o) = o**3 - 2*o**2 - o - 2. Let m(f) = -3*q(f) + t(f). Factor m(k).\nAnswer: -5*(k - 1)*(k + 2)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 16*m - 1. Let r(u) = -4*u. Give r(q(y)).\nAnswer: -64*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 471917, 1887703, 4247345, 7550843, 11798197, 16989407, 23124473?\nAnswer: 30203395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -151840, -303677, -455514, -607351, -759188?\nAnswer: -911025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 13157*a - 38. Let r(p) = 11*p. Determine r(h(i)).\nAnswer: 144727*i - 418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*g - 4*r - 24 = 0, 10*r = 5*g + 11*r - 21 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 139326 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the third derivative of -w**4\/6 + 2*w**3\/3 + 5*w**2. Let v(a) = -4*a + 5. Let d(y) = 4*c(y) - 3*v(y). List the prime factors of d(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102100001 (base 3) to base 6.\nAnswer: 102131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 49 and 189959?\nAnswer: 1329713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/118461 and -23\/189.\nAnswer: 1066149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 43744 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1222 - 0.2178. Which is the nearest to -1?  (a) -4  (b) k  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-17)\/(-7) - 21\/49. Suppose -6*j = -u*j + 69200000. What is j rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -190*h**3 - 1025*h**2 - 2295*h - 1350. Let z(y) = 7*y**3 + 38*y**2 + 85*y + 50. Let f(r) = -2*c(r) - 55*z(r). Determine d so that f(d) = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 1391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 519565200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 3 - 2*h - 3. Let b(d) = -3*d**2 - 2. Let j(l) = l**2 - 7*l + 3. Let v be j(6). Let c(z) = 4*z**2 + 3. Let g(q) = v*b(q) - 2*c(q). Determine i(g(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 519*g = 34265 + 2065 for g.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-61490)\/1430*(-12)\/86.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 35\/38 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-13)*x*x**24\/x)\/(x**6)**14)**6 assuming x is positive.\nAnswer: x**(-438)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -194857 divided by -13.\nAnswer: 14989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 0, 5, 1 in decreasing order.\nAnswer: 6, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 46880972*b - 76551915?\nAnswer: 46880972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1189855211 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 417 + -536. Which is the biggest value?  (a) 2\/13  (b) 5  (c) -3  (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 154*y**2 - 30*y - 15. Does 9 divide l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1194 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1010 (base 2) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -4 and -5352061534138.\nAnswer: -5352061534142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 4*q**3 - 366*q**2 + 181*q - 176. Give x(91).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13.3 - 16. Let s = r + -0.3. Suppose 5*v + 12 = -8. Put v, -0.4, s in descending order.\nAnswer: -0.4, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 13*s**2 - s - 1. Let i be q(-1). Let d = -7 + i. Let o(a) = -a - 5*a + d + 0*a + a**2. Give o(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1386 and 3344?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1111 - 102492961630\nAnswer: -102492962741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 AM and 9:28 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17160)\/1040*((-10)\/(-6))\/1*-2.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 + -3. Suppose -q = 3*a - 6*a + 9, -2*q + 2*a = 2. Suppose -3*d + 10 = -5*s, -9 - 8 = -4*d + q*s. Sort d, 1\/3, h in ascending order.\nAnswer: 1\/3, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + 14 - (0 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -61 - -66. Suppose 0*t = -t + 3*q + 83, 0 = h*t + 4*q - 320. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -2*a**2 - 404*a - 2347. Let x be u(-6). Let v = 5 - 5. Solve x*m + 15 = -g + 5*g, -2*g + 3*m + 7 = v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 + 2\/4*(-3 - -1). Let i be ((-39)\/26)\/(2\/(-4)). Suppose -4*n - 6 = b, 0 = -o*b - b + i*n + 15. What is the lowest common multiple of 30 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 47*q + 4. Let h be (-2 - -4)\/(2\/(-2)). Let a be (-2)\/h + 3 + -1. Is u(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6676, -3874, -1072, 1730?\nAnswer: 4532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 5*y. Let h(n) = 174*n - 21. What is q(h(x))?\nAnswer: 870*x - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24 (base 12) to base 5.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vogzoovvovyovt. Give prob of picking 1 t and 1 v.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**3 - 5*k**2 - 4*k + 9. Let b be (56\/(-364) - (-134)\/26) + 1. Calculate g(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2890.3 - -2890.7. Which is the closest to 1?  (a) y  (b) -4230  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000234626 rounded to six decimal places?\nAnswer: -0.000235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 384 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 155 - 343. Is s != -188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80 is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3051, -6061, -9085, -12129, -15199, -18301, -21441, -24625?\n\"Answer: -p**3 - p**2 - 3000*p - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 1287 = -o, -4*b - 3*o = -2*o - 1723. Does 43 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -645586 or -645594?\nAnswer: -645586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w + 24. Let r be x(-11). Solve 0 = -r*d + m, -2*d + 0*m + 12 = 5*m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 30\/(-154) + 1\/(-11). Which is the fourth smallest value?  (a) 0.2  (b) -4  (c) -0.4  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000519212 to seven dps.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, j: 1, r: 1, t: 4, q: 2}. What is prob of picking 1 t and 1 q?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {t: 2, v: 3, y: 9, f: 2, e: 3}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 2*q**2\/5 - 840816016*q\/5 + 88371446595264032\/5 = 0.\nAnswer: 210204004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 5, s: 7}. What is prob of sequence shh?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2139, 2195, 2261, 2343, 2447, 2579?\nAnswer: 2745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**2 + 9*p - 7. Let a be s(13). Let b = -177 + a. Calculate the greatest common factor of 12 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-4))\/(40\/(4\/1))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 635*j - 1869*j**2 + 1869*j**2 - 3 + 13*j**3 + 68*j**4 - 413*j + 1 wrt j.\nAnswer: 816*j**2 + 78*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -0*x - 2*x. Suppose -9 = -t - x*l, l + 3 = t + 2*l. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = 6*x - 1470. Let r be x\/77 + 3\/((-99)\/6). Solve 0 = r*v - 6 - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/78  (b) -8  (c) -5  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -101*l**3 - 109*l**3 - 94*l**3 - 56*l. Let g(c) = -16*c**3 - 3*c. Determine 56*g(m) - 3*w(m).\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -421 - -272. Let t = x - -230. Suppose -t = 4*g - 653. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-7) + 30\/7. Suppose -3*z - 3*d = z + 1, 14 = u*z - 2*d. Find the second derivative of -2 - 2*a + z + a**3 wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.07888068 and -231.\nAnswer: -231.07888068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3300822 by -471546.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 3*g = -7*g + 14, 4*v + 5*g = 16. Let r(q) = -7*q - 3. Let a be r(v). What is the tens digit of (90 + (-4)\/a)*1 - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -46, -78, -154, -298, -534?\n\"Answer: -4*f**3 + 2*f**2 - 10*f - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2855648 divided by 1532?\nAnswer: -1864","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25483?\nAnswer: 17, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 + 3*w + 3. Let a = -5 - -8. Suppose j = 3*v + 6, 3 = a*v + j + 9. Give c(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2*i - 4. Let v(o) = 3*o - 3. Calculate 4*p(y) - 3*v(y).\nAnswer: -y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 56 + -54. What is the tens digit of 15*12\/(-8)*p\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-107 - 24) + -27 + -12 + 45.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 14305728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(-19) + (-6)\/4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 72.88866 millilitres to litres.\nAnswer: 0.07288866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w - w - 2*w + (-4*w + 2*w + 3*w)*(-3 + 2 - 3))*(-4*w**2 + 5*w**4 + 4*w**2).\nAnswer: -25*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-1 + -5 + ((2*sqrt(153) - sqrt(153))\/sqrt(9) - ((1*sqrt(17))**2 - sqrt(17))*-6)*-5 + 0) + -5.\nAnswer: -2585 + 125*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 15  (b) 109  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000138055269 to 6 dps.\nAnswer: 0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1376286, 2752551, 4128816?\nAnswer: 5505081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of (-12)\/7*11*(-21)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6875 is divided by 2219?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*m - 52*m + 4 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2*c**2. Suppose 5*i = 3*p - 59, -5*p - 3*i = -p - 40. Let l(d) = 1 + 2*d - p*d - 1. Calculate q(l(w)).\nAnswer: 242*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -98 + 64. Let o = -0.423 - 38.377. Let w = o - x. What is w rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2073 - 2*v - 2074 + 0*v**3 - 5*v**2 + 3*v - 2*v**3 to m*v + q*v**2 + l*v**3 + p and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -527*y + 16930. Give r(32).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 53 + 15*w - 11 + 0*w**3 - 17*w**2 - 5*w**3 + 8*w**3 - 7*w**2 = 0.\nAnswer: -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-3)*g*g)**(-29)\/(g**(7\/5)\/(g*g**(-3\/7)\/g)) assuming g is positive.\nAnswer: g**(-64\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-3)*h*h)\/((((h*h*h*h**(-7)*h*h*h)\/h)\/h)\/h))**(-2\/51) assuming h is positive.\nAnswer: h**(-2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2191, 8702, 19553, 34744, 54275, 78146?\nAnswer: 106357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.18 and 3314?\nAnswer: 596.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7.5 and -10?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*l + f - 0, -3*l + 2*f = -5. Solve -4*y = -l - 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 78980 and 1288810?\nAnswer: 28353820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of -t**3\/6 + 7*t**2\/2 + 2*t + 4. Let g = 5 - 2. Let o be c(g). Let p(x) = x**3 - 3*x**2 - 2*x - 3. What is p(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s**2 + 13*s + 16. Let m be y(-12). Let j = 150 + -144. Let x(d) = -9*d - 150 + m - 7*d - j*d. Let p(f) = -f**2. Calculate p(x(k)).\nAnswer: -484*k**2 - 88*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 288563 is divided by 919?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 5*d - 40 = 0, -3*f + 24 - 5 = d. Suppose -f*o + 123 = -37. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 77.47063 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41.77 - 999168278.8.\nAnswer: -999168237.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -10535 * 90.655\nAnswer: -955050.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 5 = -l, l + 5 = -0. Let o = 96 + -63. Which is the fourth smallest value?  (a) 2\/17  (b) o  (c) t  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63 is divided by 41.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-31224)\/(-189) - 4\/(-18). Let i be -1 + 2\/(-2) - (-1503)\/9. Let p = i - b. Sort 0.04, p, -0.5 in decreasing order.\nAnswer: 0.04, p, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -10866030, -21731980, -32597928, -43463874, -54329818?\n\"Answer: p**2 - 10865953*p - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 853957607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*h + h + 0*h - 3*h as g*h + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 PM and 8:40 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-23)\/4*13675\/(-1094). Factor 49\/8*f**2 - l*f - 1\/8*f**3 - 625\/8.\nAnswer: -(f - 25)**2*(f + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35410 + 35404 - 2*d**2 + 35559 - 106373.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**4 - 4*g**2.\nAnswer: g**2*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*x**2 + 104159965*x - 208319910.\nAnswer: -5*(x - 20831991)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((0 - -2) + -1)*-5. Let s(w) be the first derivative of -w**2\/2 + 13*w - 109464. Let u(r) = -1. Give q*u(t) - s(t).\nAnswer: t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 242 = -11*a. What is the remainder when 0 + 2 + a - 5 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15181147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 337?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/2 - 5278\/5. Let s = y - -167771\/160. Calculate the common denominator of 1\/18 and s.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5616445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-98)\/168*(-12)\/42\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of -k**6\/24 - k**5\/3 + 5*k**4\/24 + 10*k**3\/3 + k**2. Solve y(i) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 7 + 11 - 5*s - 2*s**2 - 14. Calculate f(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**2 + 6*c + 10. Let q be f(7). Let y = 11 + 26. Let a = y + -31. Solve a*i = q*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1065 + 29885\/28. What is the common denominator of c and 55187\/(-10380) - ((-33)\/(-11) - 1*11)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 2084751 + 2084541 = -5*o, 2*z - 146 = -3*o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3080 from -2229.3.\nAnswer: -5309.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -5*f + 3*f + 812, -2*k = 4*f - 1624. Let h be 4*(-2 + -2)\/(-8). Suppose -170 = -s + h*j + 24, 2*j = -2*s + f. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1953.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84552 = -154*f + 167*f. Solve f*g = 6503*g - 7 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 250*x - 1003*x = -54969 for x.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 25371740 - 1?\nAnswer: 2537173a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**9*q)\/q)**(-7))**13 assuming q is positive.\nAnswer: q**(-819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*d - 437 - 27. Let w(a) = -a**2 - 1123*a - d + 1123*a. Let v(q) = -2*q. Determine v(w(t)).\nAnswer: 2*t**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 3521*j - 112621. What is f(32)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 33*d**3 - d**4 - 60*d**3 + 32*d**3 + 18*d**3 - 2*d**2 - 2*d as v + f*d**2 + y*d**4 + k*d + w*d**3 and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - 1630906?\nAnswer: -1630902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1675, -2065, -2455, -2845, -3235, -3625?\nAnswer: -4015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2402782303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2025.837 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -4*t - 2. Let i(k) = 2*k + 1. Let x(l) = l**2 + 9*l + 4. Let d be x(-8). Let m be -3 + 5 + d + 6. Give m*r(j) + 9*i(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*y - 4*y = 495. Let o be 3\/2*(-110)\/(-15). Calculate the highest common factor of o and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.2 + 1.4. Let q = -2.5945 + c. What is q rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of a**3*u + 2162126*a**3 - 33102*a**2 + 2*a*u - 55*u wrt a.\nAnswer: 6*u + 12972756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1622, 6776, 15362, 27380, 42830, 61712, 84026?\nAnswer: 109772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1902976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6013546075?\nAnswer: 5, 19, 23, 550439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -68 + 32. Let z be 9\/x*1\/(-1). Which is the closest to -0.1?  (a) z  (b) 8  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/43 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17 (base 12) to base 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/4 + (-57)\/(-12). Suppose 5*b - 2*b + r*m - 3 = 0, -4*b + 2*m + 4 = 0. Calculate the smallest common multiple of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**12*o**(3\/5))\/(o*(o**(-2\/11)*o)\/o*o**11) assuming o is positive.\nAnswer: o**(43\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p + 15 = 2*p. Let r = -49971 + 49970. Suppose o - 2*c + 12 = -5*c, -5*o = c + 4. Sort p, r, o.\nAnswer: p, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -18348, -18352, -18356?\n\"Answer: -4*l - 18344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 + 12*i - 9. Let t be (-1 - 9\/(-6))*20. What is the units digit of s(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 562 and 48.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 132 + 2?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 + -13648?\nAnswer: -13547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14 and 131331991.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**35*s)\/(s*s\/s**34)*(s\/(s\/(s\/(s\/s**(-7\/5)))))\/(s\/(s*s\/(s**(2\/11)*s)*s)))**41 assuming s is positive.\nAnswer: s**(152028\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3738*a**2 - 3730*a**2 - 3739*a**2 - a**3 + 11207*a**2.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/(-153) + (-224)\/(-36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -261*h = -212*h - 294. Solve 18*k + 24 = -h*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 170 = 5*i, -149*i = a - 151*i - 35. Calculate the remainder when 474 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -79 + 79. Sort a, -39, -3 in ascending order.\nAnswer: -39, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*u**2 - 53*u**2 + 266*u**2.\nAnswer: 197*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*j - 2*j. Solve -2*u + 2*w = 6, 0*u - 2*u + 5*w - 21 = j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide (7 + -9)*(-836)\/16*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9624726.\nAnswer: 2, 3, 534707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00629848521 to 4 dps.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 447740?\nAnswer: 2, 5, 61, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 82 and 69290?\nAnswer: 69290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1, 26, 67, 124?\n\"Answer: 8*n**2 + n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - -4) + (-4 - (-1 + 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -3*b**3 + b**2 + 10*b + 4197. What are the prime factors of o(0)?\nAnswer: 3, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33008717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 166 = -3*g + 25. What are the prime factors of (2 - g\/2)\/(9\/18)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(240) + sqrt(240)*-2)\/sqrt(3))**2 + -3.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o. Let j(x) = 7*x**2 - x - 1. Give j(y) - 6*p(y).\nAnswer: 7*y**2 + 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 942 and 237571929.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1455 + -1439. Solve 0 = -8*j - n - 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, 0, -21 in descending order.\nAnswer: 11, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 16954486 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 107 (base 10) to base 12.\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5\/37 - 355\/111. Let p = -4 - -2. Which is bigger: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1518 * -0.04\nAnswer: -60.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (21\/(-49))\/(20\/259) and 1 + -2 + 170\/(-24)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q + 1. Let x be r(-3). Suppose -21*i + 6736 = 6631. Solve -i*v + x = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = -12*d + 11*d - 9, -4*d + f + 9 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-5*2\/6)\/((-5)\/12*1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 25236459821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 5*r - 2)*(-2*r + 0*r + 3*r)*(-1 + r + 1)*(-27 - 28 - 36)*(2 - 4 + 3).\nAnswer: -455*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 11606 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11103541?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 264891, 263387, 261883, 260379, 258875?\n\"Answer: -1504*u + 266395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-182)\/(-4))\/(14\/28). Let d = -80 + r. Let l(m) = m**2 + 4*m - 3. Calculate the remainder when l(-9) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 4*o - 4, -4*z - 8 = -2*z - 4*o. Differentiate 4034*k**4 - 14 - 30 - 4023*k**z wrt k.\nAnswer: 44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 + 6*s**2 + 3. Let b be t(-6). Suppose 0 = -h - b*h - 4. Is h at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -37, -0.1, -27\/5, -5\/3, -1\/7?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*v**2 + 22*v**2 - 432*v**3 + 464*v**3.\nAnswer: 32*v**3 + 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.41279 and -3330.01.\nAnswer: -3328.59721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*p**3 - 27*p**3 - 8*p**3.\nAnswer: -37*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -855 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seven thirds of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2 + 2*k + 3. Let c be s(-4). Suppose -4*q - 5*h + 9 = 0, -q + c = -h + 2. Calculate the lowest common multiple of q\/(-8) + (-612)\/(-48) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91524828 to the power of 1\/2, to the nearest integer?\nAnswer: 9567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {z: 4, h: 1, m: 1, o: 9, s: 5}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -277*u - 316*u + 597*u - 4*u**3 - u**2 + u**4 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 times 377953\nAnswer: -377953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -37*z + 3595*z**2 - 3391*z**2 + 12 + 1 wrt z.\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -312, -235, 0, 2, 42 in decreasing order.\nAnswer: 42, 2, 0, -235, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3626 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2628747 divided by -11.\nAnswer: -238977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 39524 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -3*d - 2*l, 2*l = d + 2. Suppose 0 = 2*b + b - t - 163, 3*b - d*t = 158. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 7, b: 4, k: 3, l: 1, n: 3}. What is prob of sequence lrkk?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -517629*w - 517633*w + 1552891*w - 517624*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 0*b - 16 + 6 - 2*b. Let v be k(-7). Let w = -4 + v. Solve -2*z - 3*z - 5 = w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k + 14. Suppose -3*a - 200 = 17*a. Determine i(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s**2 - s**2 - 3*s**2)*(-1 - 4 + 4) + 10*s**2 + 0*s**2 + 6*s**2.\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*k**2*l**2*t - 2*k**2*l**2 - k**2*l*t - 3*k**2*l + 4*l*t wrt l?\nAnswer: -18*k**2*t - 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -2*c**2. Let p(f) be the first derivative of -7*f**2\/2 + 6. Calculate p(z(y)).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand x**4 - 32*x + 31*x + 3*x**4 + (-1 + 3*x**2 + 1 - x)*(-41*x**2 - 41*x**2 - 175*x**2).\nAnswer: -767*x**4 + 257*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*r**3 + 0*r + 0*r)*(0 - 2 - 1)*(7 - 159 - 75) to the form j + i*r**3 + d*r**2 + p*r and give i.\nAnswer: -1362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2*t**2 - 12*t - 7136. List the prime factors of u(-69).\nAnswer: 2, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 5*k - 144. Let f = k - 33. Suppose 0 = -f*y + 185 + 73. List the prime factors of y.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**2 + 17465*s + 5430300.\nAnswer: 5*(s + 345)*(s + 3148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*j + 5*v, 2*v - v + 9 = 3*j. Solve 18 = j*k + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -0.191?\nAnswer: 0.0573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 154*x**2 - 1 - 307*x**2 - 8*x**3 + 7 + 155*x**2 as v*x + a + m*x**2 + k*x**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-27))\/((-14)\/(-126))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 0. Let r = -6133\/6 - -1023. Which is the nearest to r?  (a) -1  (b) -5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11329?  (a) -2  (b) -0.3  (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2408, -16683, -54704, -128345, -249480?\nAnswer: -429983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 301, -2\/5, 1\/5, -4, 4, 362, -3 in decreasing order.\nAnswer: 362, 301, 4, 1\/5, -2\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 12*o - 1. Let a be (6\/(-9))\/((-4)\/6). What are the prime factors of g(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/32*-1 + 665\/(-56)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -4*f + 65, 5*f + 5*b = 45 + 35. Suppose -3*m + 0 = -f. Let z(g) = -3*g + 3 - 3 + m - 4. What is z(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24566685 to the nearest integer?\nAnswer: 4956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -45087 + 0?\nAnswer: -45087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2148842431 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*m**2*x**3 + 2*m**2*x + 84*m*x**2 - 429*x**3 wrt x?\nAnswer: 12*m**2 - 2574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*h - 27*h + 2426 = 5*s, 9 = 3*h. Calculate the greatest common divisor of 44 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.47752571 - 2.20236042. Let k = b - -110.67991533. Let c = 108 - k. Round c to six decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 21124 + 0?\nAnswer: 21124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**2 - 3*b + 9. Let g be t(-6). Let l be (-40)\/(-6) - (39\/g - -4). Let o(x) = -x**3 + 10*x**2 - 8*x + 1. What is the tens digit of o(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -13*l**2 + 1218*l + 25026. Give w(111).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 80 = -3*p + 26, -2*z = -4*p - 44. Which is the second biggest value?  (a) 0  (b) -4  (c) 5\/11  (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 2*sqrt(1300).\nAnswer: 5 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1892750?\nAnswer: 2, 5, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 2*o = 4, 2*w + 4*o = 4*w - 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15886686 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2506238 * -0.1\nAnswer: -250623.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of -2019*w**6\/10 - 8527*w**2\/2 + 316*w - 2. Differentiate k(r) wrt r.\nAnswer: -24228*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**2 + 70*o - 646. Let y be f(60). Put 5, y, 6 in decreasing order.\nAnswer: 6, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-18 - 3*w + 18)*(-1 + 2 - 2)*(-4 + 6 - 5) to v*w + g and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the first derivative of -k**2\/2 - 5*k + 1. Let g be f(-4). Let v(h) = -4*h + 10*h - 3*h - 1. Let p(r) = -r. Calculate g*v(s) - p(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -409, -1, 16107, 1 in ascending order.\nAnswer: -409, -1, 1, 16107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 5*l - 3843 = 0. Suppose 20*u + l = 27*u. What is the remainder when u is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28)\/((-756)\/(-27))*(-1)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*z + 13*z**2 + z - 5*z.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 - 10. Suppose 2*b = -7 + w. Sort 0, 2, b in ascending order.\nAnswer: b, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - 2 - (95 + -77) - (43 - 99)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*j + 2*j - 2*j + (-4*j + 5*j + 4*j)*(5 - 1 - 3))*(-12*j**2 - j**2 + 21*j**2) to c*j + m*j**3 + d + q*j**2 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 1206*z - 3268. Let i be q(5). Is i != 2761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, w: 2}. Give prob of sequence wx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.03 and -66.8432441547.\nAnswer: -66.8132441547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*q - 0*q, -3*q - 42 = -o. Let s = 38 - 25. Calculate the remainder when o is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 + -3)\/(1\/(-5)). Suppose -4*b + 4 = -4*z, m = 3*z + 3*b - 2*b. Which is greater: 6\/11 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 9*h - 21 = 0. Solve -h = 5*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-24)*(-9)\/2 + -45*(-63)\/(-40824)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 - 11*i**2 - 29*i + 55. Calculate b(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/5193 and -53\/72951264?\nAnswer: 72951264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 1)*(54 - 20 - 23)*(-1 + 1 - 2*p).\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18378 or 18379?\nAnswer: 18378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 944, 1778, 2612?\n\"Answer: 834*v + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -101211 (base 3) to base 4\nAnswer: -10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*6\/(-15)*(-20)\/16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 55204, 220253, 495334, 880447, 1375592, 1980769?\n\"Answer: 55016*k**2 + k + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -932 - 101*g + 932 + (3 + 0 - 2)*(-4*g + g + 4*g) - 3*g - 1 + 1 + 3*g - 4*g - g.\nAnswer: -105*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11.65 - -12.76. Let q = -199 - -200.31. Let z = t - q. Which is the closest to -1\/3?  (a) -1\/3  (b) 0.27  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 64 = 4*u - 0*l, 16 = 4*l. Let r = 10749 - 6594. Let f be r\/35 - 2\/(-7). What is the highest common divisor of u and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, k: 1, p: 1, e: 2}. What is prob of picking 2 e and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/12*(16\/(-10))\/((-1496)\/340).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 1\/4, -0.03, -250.324, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24.33577 centuries to decades.\nAnswer: 243.3577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 - 3. Let i = -2 - -7. Sort q, i, 0.\nAnswer: 0, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 15*s - 256. Let z be g(18). Solve -2*l = -z + 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, 209, -2148, 0.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.13 and -117730.\nAnswer: 15304.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**3 - 44*l**2 + 47*l - 172. Let m be j(43). What is the closest to 10\/9 in 2, m, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.4, 2, -2\/67, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2309*h - 2301*h + 4600*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -2*d**2 + d - 5. Let k be c(4). Let b = -28 - k. Find the second derivative of -2*h - 5*h + 25*h**b + 0*h - 12*h**5 wrt h.\nAnswer: 260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 21\/5*j + 0 - 1\/10*j**2 = 0. Calculate j.\nAnswer: 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-84)*4128\/(-774)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14051 + -1246131?\nAnswer: -1263212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -101*q**3 + q**3 + 105*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**1*t)\/t)**(1\/37)\/(((t*t**(-2\/13)\/t)\/t)\/((t*t\/t**(-9))\/t*t)) assuming t is positive.\nAnswer: t**(158\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.305 - -1.505. Let n = -73 + 73.1. What is the closest to n in s, 4, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the third derivative of -n**2 - 1\/15*n**5 + 0 - 6*n**3 + 0*n + n**4. Solve h(l) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-23 - -5) + 16 + -3 + -7 - -127) + -6?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 497033 and 150567?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 340439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/4)\/((-8)\/(-20) + 34\/(-60)). Which is the fourth biggest value?  (a) j  (b) -0.1  (c) 2\/13  (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -112467612 divided by 4?\nAnswer: -28116903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52926 is divided by 28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -5349, -5331, -5303, -5265, -5217, -5159, -5091?\n\"Answer: 5*z**2 + 3*z - 5357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -25, 6, 0.15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -15024*q**2 - 2534 wrt q?\nAnswer: -30048*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 5*u**3 + 2*u**2 - 1. Let n(o) = 76*o + 685. Let s be n(-9). What is m(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 64 = -26. Let f(y) = 0 - 1 + 1 + l*y. Let n(h) = 314*h**2 + h - 312*h**2 - h. Give f(n(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -3*m + 4. Does 11 divide h(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of b**5\/15 - 7*b. Solve s(f) = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, t: 1, x: 7, z: 1, o: 4}. What is prob of picking 2 e?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 a when three letters picked without replacement from iaajari.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -10*x. Let w(f) = 6*f**2 - 15*f - 17. Let m be w(-5). Let l(c) = -2*c + 208 - m. What is l(u(n))?\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(208) + -1 + sqrt(208) + -5)*-5 + -3 + 4*(sqrt(208) + -1))**2.\nAnswer: -8017 + 1104*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**2 + 37. Let n be z(0). Let p be n\/3 + (-1)\/3. Let j(y) = y**2 + 3*y - 7. Let b be j(-5). What is the greatest common divisor of p and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-121*k - 2056 + 2056)*(1 - 1 + 1)*(k - 4*k - 3 + 5*k) to the form d*k + m + j*k**2 and give j.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -134424 (base 6) to base 5.\nAnswer: -401223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = -2*r - 1, 1211*w + 2*r = 1206*w - 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 352 - 198. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24 + -22. Solve -4*h**2 + 15*h - 10 - 4*h**2 + h**2 + y*h**2 = 0 for h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 388733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -26 (base 13) to base 4\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/1 - (-4)\/2. Let c be 27 - (6\/(-2) - -3). Let f = c + -19. Solve -k + 0*k + g = 3*n, -2*k - 3*n = -f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2110212 (base 3) in base 13?\nAnswer: -a8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2211211 + -22?\nAnswer: -2212010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38 + (-23 - -68) - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 3*q**3 + 3*q**2 + q - 4. Let j(d) = -3*d**3 - 2*d**2 - d + 3. Give 3*j(o) + 2*n(o).\nAnswer: -3*o**3 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in two ninths of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 1)*(3 - 3 + 2)*(-2*j**2 - j**2 + 5*j**2).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18 - -18.59. Let s = q - -55.41. Let l = s + -56.0000041. Round l to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*m + 91*m - 65*m.\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -t**5\/2 - 78255*t**4\/4 - 97813*t**3\/2 - 9780*t**2 + 48907*t + 117375\/4 = 0.\nAnswer: -39125, -3\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-129)\/(-15) - (-9 + (-43)\/(-5)). Solve 2*m + 3*a - 4 = 0, -6*m + 2*a = -m + o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1229884 is divided by 632?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q - 2*q**3 + q + (108 - 16*q**2 - 108)*(2*q - 2*q - q).\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * 0.4.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 577 divide 247817225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 274756217333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvtvivivvtvtvviovivv. Give prob of sequence vo.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (10\/(-2))\/(2 + -1). Let q be (-112)\/(-20) - 2\/t. Suppose 2*w + q - 30 = 0. What is the greatest common divisor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**3*o*o\/o**(2\/9)*(o**0)**31)\/((o\/o**(-2\/7))\/(o*o**0)*o**(-1)\/o*(o*o**(4\/3)*o)\/o) assuming o is positive.\nAnswer: o**(262\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -2*i**2 - 19868718*i - 19868716 = 0.\nAnswer: -9934358, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17793, -7, 5, 0, 2 in descending order.\nAnswer: 5, 2, 0, -7, -17793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (-2 - -10 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44298*i**2 - 44293*i**2 + 88589*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*j - 8 - 61 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*s - 10*s - 1540. Find the common denominator of 67\/3 and 2070\/(-36)*1\/s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 40416 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -262 - -341. Let v be ((-10)\/8)\/(1\/(3 - u)). What is the greatest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*h + 6*h**4 + 8*h + 11 - 5*h**3 - 3*h**4 - h - 5*h**4 to the form p*h**3 + t*h**2 + v*h**4 + b + o*h and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -61 - 28*p**3 - 222*p**2 + 60 + 223*p**2 - 12*p to f*p + q + i*p**3 + o*p**2 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2946 - 666. Is (2\/(-3) - (-7)\/(-21)) + p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 - -13. Suppose 8 = 3*g - 2*x, v*g + x - 5 = 4. Solve g*y = -5*a, 3*a - 2*y = -2*a - 20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -149 - -736. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = 6*t, 3*u = -4*t - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-4))\/(5*(-15)\/(-120))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 4*a - 201 = 0, -3*h + 5*a = -8*h + 1055. What is the greatest common factor of h and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66 is divided by (-14)\/(-21)*-1 - 53\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/4)\/((-16)\/448).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -650?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jxd when three letters picked without replacement from {j: 5, d: 2, x: 4}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2b (base 12) to base 9.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 4*i**2 + i**2 + i**2. Suppose 0 = 3*x + 2 - 8. Let c(v) = -x*v + v - v. Determine c(o(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from fvvbf?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16.22*0.3702.\nAnswer: 6.004644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -670 + 514. Let v = f - -181. Calculate the remainder when (-2)\/(-8) - (-1761)\/12 is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(15\/4)\/j**(2\/59)*(j\/(j*j**(-12\/13)))\/(j\/(j*j**(-1))))**(-9) assuming j is positive.\nAnswer: j**(-100485\/3068)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1054944 divided by -2\nAnswer: -527472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -167739*p**4 - 190581*p wrt p?\nAnswer: -2012868*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -46410\nAnswer: -92820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 - 7*b**2 + 2*b. Let o(j) = 2*j**3 - 2*j - 1. Let f be o(-1). Let g = f - 0. Let w(n) = n**2 - n. Let z(t) = g*h(t) - 4*w(t). Factor z(i).\nAnswer: i*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/16 and -75\/2403118.\nAnswer: 19224944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1\/2152 - -199061\/2152. Let s = 90 - c. Sort -3\/7, 4, s, -0.5 in ascending order.\nAnswer: s, -0.5, -3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 11*v - 75. Let z be 24*6\/48 + 4. What is t(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**2 + 28876*v - 579120.\nAnswer: 4*(v - 20)*(v + 7239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1019 a factor of 59887258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (12\/9)\/(1\/3). Suppose -m*a + 5*o = -3, -o = -5*a + o + 8. What is the common denominator of 93\/10 and ((-1)\/(-21))\/(a\/138)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17428 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 106616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 127 times 5532\nAnswer: 702564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*a - 165*a - 3*f + 79 = -97*a, 0 = 3*a - 4*f + 106 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 132*c**3 + 128*c**3 - 262*c**3 - 44*c + 18 + 9 wrt c?\nAnswer: -6*c**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmmmmm. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 313 divide 100777549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*d + 896 = -9*d. What is the greatest common divisor of 168 and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21768 = 3*k - 3*h, 5*k + 3229 = -2*h - 33051. Let z = -2986 - k. Round z to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1297*x = 1293*x + 528. Let v = 133 - x. What is the highest common divisor of v and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 - -17. Find the first derivative of -5 + 3 - x + 6*p - p wrt p.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {i: 2, m: 1, e: 1, b: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 1 = 17. Let a(w) = 376*w**3 - 377*w**3 + 7*w**2 - 5*w + 0*w**2. Determine a(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -258, -416, -584, -762, -950?\nAnswer: -1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 + 10. Suppose -q = 0, -4*c - q + y = -3*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h**4\/7 - 195*h**3\/7 - 250596*h**2\/7 + 753108*h\/7 - 71760 = 0.\nAnswer: -260, 1, 2, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 34, -7, -5 in increasing order.\nAnswer: -7, -5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -110822*296\nAnswer: -32803312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5556810 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -186 (base 10) to base 6\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63*d**2 - 59*d**2 + 33 + 181*d**2 - 56*d**2.\nAnswer: 3*d**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**2 - z - 7. Let q(t) = 2*t**3 - 3*t**2 + 2*t - 3. Let w be q(2). Let d = -164303 + 164366. Calculate the remainder when d is divided by h(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 2*k**2 - 91*k + 3476. What is the remainder when w(40) is divided by 1012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**3 - 8*c**2 + 14*c + 8. Let s be k(5). Suppose -s*h + 741 = 5*q - 0*q, -5*h + q = -1235. What are the prime factors of h?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -98, 208, 1, 2 in ascending order.\nAnswer: -98, 1, 2, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12375 divided by 5.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*y**2*z**4 - 10*y**2*z**3 - y**2 + 162*y*z**2 - 27*z**4 wrt z.\nAnswer: -48*y**2*z - 60*y**2 - 648*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1870*y**2 + 4307*y.\nAnswer: 3740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 152208003 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**5\/10 + 2*y**4 - 16*y**3 + 64*y**2 - 128*y + 512\/5.\nAnswer: -(y - 4)**5\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2863503173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 74177 (base 9) in base 3?\nAnswer: 2111012121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17.9054 - 5.\nAnswer: -22.9054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*q**3 + 2*q**3 + 2*q**3)*(-79 + 325 - 183)*(-4 - 1 + 4)*(2*q - 4*q + 0*q) to n*q**3 + u*q**4 + r + y*q**2 + t*q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 4*d**2 - 82*d + 314. Determine u(4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 12904*-47\nAnswer: -606488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*u**3 + 3*u**3 + 4*u**3)*(6 + 3 - 2).\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5281 - 5268. Solve -5*a - 40 = 5*q, -3*a - 4*q - y - 16 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 30 + -25. Let t(w) = -7*w + m - 5 - 3. Is 4 a factor of t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 5 + 2)*(r - r - 2*r**2)*(3 - 3 + 3*r).\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + -35430?\nAnswer: -35425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -91 + 3*n**2 - n + 2*n + 72 + (0 + 3 - 5)*(-4*n**2 + 4*n**2 - 10*n**2) - n + 2*n**2 + n to j + z*n**2 + t*n and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 10250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -18, 3\/2 in descending order.\nAnswer: 3\/2, 0.4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from {v: 1, a: 3, l: 1, h: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from jjrjqjvvjrjjjqn.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -11*l**3 - l**2 - l - 1. Let g = 0 - -3. Let i be (-1)\/g - (-2)\/(-3). Is k(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-18)\/(2 + 0) - 0. Let a(k) = -8*k - 19. Let r(f) = 4*f + 9. Let d(j) = -6*a(j) - 13*r(j). Is 18 a factor of d(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 - -5. Suppose -a*u - 3*h + 6 = 0, u + 3*h - 2 = -h. Let f = 4 - u. Solve 2 = d - f*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 + 14*y**2 + 20*y - 140. Let c be j(-10). Calculate the highest common divisor of 2060 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 + -7. Let z = -4.0000052 + h. What is z rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -29 and 1627.\nAnswer: -47183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (3\/18)\/((-5)\/9)*944\/(-354)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85897 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j + 2*j - 2*j)*(2 + 0 + 0)*(-13*j**3 - 3*j**4 + 13*j**3).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 h when three letters picked without replacement from ssssvvhh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 67800 and 6144.\nAnswer: 17356800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 - 8*k**2 + 29*k + 165. Let s be f(-10). Suppose s*b = 63*b + 552. What is the remainder when b is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -12*s + 85. Let t be d(7). Let p(w) be the first derivative of -1\/2*w**3 + 3*w**2 - 6*w - t. Factor p(z).\nAnswer: -3*(z - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2000.34 from 0.\nAnswer: 2000.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/76)\/(((-3)\/(-6))\/((-2523)\/(-8410))).\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -0.2, -17, 0.1, -43?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 55 = -3*w, -p = -5*p - 8. Suppose -s + w = 4*s. Is (s + 1)*316\/16 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d. Let w(f) = 9*f + 40. Let b(r) = 35*r + 162. Let j(i) = 6*b(i) - 23*w(i). What is c(j(h))?\nAnswer: 3*h + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 73933*j**5 + 26516*j**2?\nAnswer: 4435980*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3*(-1)\/6*0. Let s = b - -2. Solve -u - u = s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6567465 is divided by 218.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4662 = -43*b + 22*b. What is the highest common divisor of 17538 and b?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.21 + 299020314594.\nAnswer: 299020314593.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3 - -6 - 2)*11. Let w(o) = o**2 + 3*o - 55. Let l be w(-13). Let h = x - l. Which is the nearest to h?  (a) -1  (b) -2\/9  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**2 - 3*z + 4. Let x(k) = -k**2 + 4*k - 6. Let d(u) = 4*h(u) + 3*x(u). Determine d(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 135 or -13\/22974?\nAnswer: -13\/22974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -926 + -3551. Let c = 89491\/20 + m. Find the common denominator of c and 1\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 262521.\nAnswer: 3, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -419\/2 > -209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*k - 5, q - 2*k = 2823. Suppose -27*b + 28*b = q. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 3:53 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1600) - sqrt(1600)*-2)\/(sqrt(20) + sqrt(80)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 - 7*g**2 + g - 5. Let z be y(7). Suppose 2*o = z + 4. Find the second derivative of -r + 2*r**5 + 6*r - o*r wrt r.\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:28 PM and 1:13 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from kokovkokk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -649.97 - -650. Which is the smallest value?  (a) 1  (b) -3  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 60123612 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -3*f**2 - 23*f - 23. Let p(x) = -x**2 - 8*x - 8. Let w(z) = -3*z + 4. Let j be w(7). Let s be 17\/(-68) + 25\/4. What is j*p(u) + s*i(u)?\nAnswer: -u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -72, 721, 3 in descending order.\nAnswer: 721, 3, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 + -b0b33?\nAnswer: -b0b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.05 times 415\nAnswer: 20.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -694.624 and 4.618?\nAnswer: 699.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -161 or -165?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 409 is divided by 114.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12034622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of -r**4\/24 + 256*r**2. Let z(m) = -92*m. Determine z(j(w)).\nAnswer: 92*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhdhhhdhhhd. Give prob of sequence hd.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4029, 4014, 3995, 3972, 3945, 3914?\nAnswer: 3879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 18789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2008 * -0.1.\nAnswer: 200.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 103158209?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-4))\/(2 + (-21)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -816 in -51, 2, 7?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 5*q - 4 = -l, 0 = l + 4*q + 4. Suppose l = -d - 4*o + 11, -d + 4*o - 4 = 1. Solve -j = -d*j - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 646611297.\nAnswer: 3, 37, 73, 199, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * 20464\nAnswer: -4092.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*f = -22 - 392 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-8*70\/(-240))\/((-35)\/(-45)))\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from {t: 1, z: 5, q: 5, d: 1, w: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 208733 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -13*j + 6. Let g(x) = -x**2 - 11*x + 15. Let k be g(-12). Suppose -3*t = -k*m - 12, 0 = 4*m + 5*t + 2 + 32. Is 28 a factor of o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 51*s**2 - 19*s - 17. Is p(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + h + 186444 = 0, 5*h - 151388 = 3*r - 11578. What is r rounded to the nearest one thousand?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 5, h: 8, v: 2, g: 1, e: 3}. Give prob of sequence jg.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-122)\/(-2))\/((9\/3)\/21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6.1 + -58.1. Let t = u + 54. Let m = 2.5 + -3. Which is the nearest to -0.1?  (a) -1\/8  (b) t  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 678656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.16 + -1.043?\nAnswer: -1.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o\/o**(-2\/3)*o**(3\/8)*o*o**(-4\/5)*o**13\/o assuming o is positive.\nAnswer: o**(1829\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 40 - (12 + -9 + (-14 - -8))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (17*l - 2044 + 2044)*(268 - 270 + 5*l - 65*l) in the form i*l + t*l**2 + z and give i.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-f + 4 - 4)*(-4*f + 0*f + 5*f) + 12*f**2 - 36*f**2 + 8*f**2 - 2 as m + h*f + c*f**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 684 - -48?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 31 and 0.1544.\nAnswer: 4.7864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1514?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/4  (b) 0.08  (c) -0.3  (d) 33  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of -f**3\/3 + 4*f**2 + f + 1. Let x = -25 - -32. Is 6 a factor of z(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*s + s + 1100. Suppose 4*p = -3*v + 149, -v - v = 2*p - s. Is 30 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -8. Let u be -1 + 4\/(1\/1). Let r be -1*u - 57\/(-15). What is the third biggest value in l, 1\/5, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 41 - (-11 + 29 + 50 + -71).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -467.8.\nAnswer: -935.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66414?\nAnswer: 2, 3, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 32\/(-4) - -3 - -10. Suppose z*b = b. Let c(q) = 2*q + 6. Calculate c(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21.7 - 33.7. Which is the third smallest value?  (a) 0  (b) 0.3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.05  (b) 1\/6  (c) -5  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 AM and 3:47 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6.204 + 0.004. Let h = 1.8 - d. Let l = 7.99971 - h. What is l rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 + 7*b - 2*b + 32 - 5*b + 10*b. Suppose 13 = 2*y - j - 0*j, 3*j = y - 4. Calculate the remainder when m(-7) is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 157805017+1.089514\nAnswer: 157805018.089514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 101 - 98.56. Let k = r - 2.14. What is the nearest to k in 1\/3, 2\/11, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaammaam. Give prob of sequence maam.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -t - t. Let p be 3\/((-54960)\/75602) - t. Let y = p + 2\/1145. Calculate the common denominator of 7\/12 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 496 and 2294?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:46 AM and 5:44 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 32*i + 4. Let f(b) = 173*b + 17. Let c(s) = 216*s + 21. Let y(k) = 4*c(k) - 5*f(k). Determine -x(o) - 2*y(o).\nAnswer: -30*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 12\/11, -166, -1993?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = i - 3*i + 42, 0 = -2*y - 2*i - 28. Let l = 4 + y. Let w be (-12 - -8) + (-23)\/l. Which is the second biggest value?  (a) w  (b) 1  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 - -0.1257?\nAnswer: 17.1257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of -n**6\/120 - n**5\/30 + n**4\/6 - n**3 - n**2\/2 - 2*n. Let p(x) be the first derivative of v(x). Is p(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2\/9091 + 354581\/145456. What is the common denominator of d and -57\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -49527 and -49527 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 905644 + 2?\nAnswer: 905646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -158981 + 3178943\/20. Let q = 133\/4 + u. Let v be (-4)\/10*(-9)\/18. Which is the closest to v?  (a) q  (b) 0.1  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(10\/6 - 2). Suppose 4*g = -5*r + 5, -q*r - 15 = -8*r - 2*g. Calculate the highest common divisor of r and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*s**3 - 4*s + 25*s - 132*s**3 + s wrt s?\nAnswer: -756*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x**5\/5 - 12*x**4\/5 + 4*x**3 + 2*x**2\/5 - 21*x\/5 + 2 = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 4*q - 136, 2*f = 3*q + 178 + 160. Is 27 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t + 17. Calculate h(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 235080 and 720?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**2. Let o be s(1). Let p(h) = -h. Let i(g) = g - 1. Let n(c) = o*i(c) - 5*p(c). Suppose -7 = -2*b - l, 2*b + 0*l - 12 = -2*l. What is n(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -56db + -2?\nAnswer: -56dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 49966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 75 + 79. List the prime factors of n.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 9) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19956 + 19961. Solve -t*r = -20, 2*g - 5*r + 6 = -6*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 31 - 19 = 0. Suppose 76 = -b*s + 160. What are the prime factors of (-537)\/(-4) + -4 + 105\/s?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -2*j - 7. Determine r(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6687 + -6682. Sort h, 1, -66.\nAnswer: -66, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7726181150147\/5664 + -1364085661. Let y = -454\/45 + 857017\/84960. Let c = x - y. Find the common denominator of c and -7\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 202221 + -120121?\nAnswer: 12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-44*u + 17*u - 53*u - 8*u)*(0 + 0 - u) to the form g*u + s + i*u**2 and give i.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50056500 divided by 16685500.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -1 - (7 + -7 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7656 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, p: 11}. Give prob of picking 1 p and 2 h.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 - o**2 - 77*o - 25. Let l be j(-8). Solve -9*d = -l - 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 5, p: 8, w: 4}. Give prob of sequence pd.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.181 - 21.819. Let x = -2483026146 + 2483026124.00000038. Let z = x - o. Round z to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -585*u - 540*u - 556*u + 2207*u - 547*u.\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5131777 - -4?\nAnswer: -5131773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 217031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 5*i + 2. Let t(d) = -3*d - 1. Let s(z) = 3*c(z) + 6*t(z). What is s(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the second derivative of -19*q**6\/15 - 29*q**5\/10 - 5*q**4\/3 + 3007*q. Solve m(f) = 0.\nAnswer: -1, -10\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6470 = 14*c - 6862. Solve -11*h - 6 + c = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 divided by 22?\nAnswer: 282\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qoot when four letters picked without replacement from qoqooovrotvooqoooo?\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -171.657 + 170.9. Round u to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-5)*f*f\/((f\/(f**(1\/3)*f))\/f))**(-27))**(-13) assuming f is positive.\nAnswer: f**(-585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4 - (-20)\/(-15)*3. Which is bigger: s or -12\/17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -4 + 6 - (-69 - -61).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 112349*d**3 + 1 + 2 + 13*d**2.\nAnswer: -112349*d**3 + 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 + 1. Suppose 0 = 3*l - 4*t - 10, 4*l - 4*t = -3 + 11. Let g be u(l). Solve -z - 4*z = -g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -75\/44 and 73\/88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -17*l - 66. Let q be n(-4). Solve q*o + 2 = 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/7  (b) -4  (c) 3  (d) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2843, 2848, 2855, 2864, 2875?\n\"Answer: u**2 + 2*u + 2840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i - 6 + 0*i + 7*i - 8*i. Suppose -4*a = 4*k - 238 + 26, 4*k = a - 43. Calculate the remainder when a is divided by x(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/(-8)*-1 - 141*12\/(-144). Solve 13*d = -c*d + 120 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 5350, 20170, 44872, 79456, 123922?\n\"Answer: 4941*z**2 - 3*z + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -3032233 (base 4) to base 6\nAnswer: -141131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 21756490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1468 is divided by 689.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*-150.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seventeen sevenths of a week?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((2 - 2) + -1)*8. Let z be (-1 + (y - 1))\/1. What is the remainder when 40 is divided by 4\/z + (-72)\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-16) - (8 + (-63)\/8). Let l(d) = d**2 - 12. Calculate l(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -5, -3609 in decreasing order.\nAnswer: 6, -5, -3609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1802 and 970258.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 7*p + 75 = 2*p, -4*d + 2*p + 114 = 0. Calculate the highest common factor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the second derivative of 1\/20*p**5 + 0*p**2 - 1\/3*p**3 + 6*p + 0 - 1\/8*p**4. Let m(x) be the second derivative of w(x). Calculate m(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 206*x - 202*x = 244748. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llygcyp. Give prob of sequence gy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 11:32 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1743 and 9358748.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 + 99 = 9*t - 5 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.365743 years in centuries?\nAnswer: 0.00365743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, f: 2, p: 1, o: 3, d: 1}. What is prob of picking 1 f and 1 p?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -19, 4 in increasing order.\nAnswer: -19, -16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 24  (b) 1\/5  (c) 0  (d) 2\/15  (e) -6.3  (f) -29\/2  (g) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/291, 1, 3, 0.01, -0.09, -1\/3 in descending order.\nAnswer: 3, 1, 0.01, 2\/291, -0.09, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*o + 8. Suppose -o*c - 577 = -1462. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - -2) + -3 + 1 - (1 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -48 times 77.35\nAnswer: -3712.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2454 - -141?\nAnswer: 2625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-9) - (-496)\/(-18). Let l = -27 - j. Factor g + l + g**2 + 1\/3*g**3.\nAnswer: (g + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(2\/11)*c*c*(c**7*c)\/c)**(-2\/37)\/((((c\/(c**8\/c))\/c)\/(((c*c*c**(-4\/3)\/c*c*c*c*c)\/c)\/c))\/(c**2)**10) assuming c is positive.\nAnswer: c**(34330\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 163469\/10 + -16346. Which is smaller: p or 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, s: 2, m: 1, z: 3}. Give prob of picking 1 m and 1 c.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 1)*(-5 + (36 - 17))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19 - 22. What is the closest to -3 in 5, z, 1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*d**2 - 13*d + 13*d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 - 11*a**2 - a + 10. Is t(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -540\/7 - -77. Let z = -6 + 1. Let u = -5 - z. Sort 2, u, j in decreasing order.\nAnswer: 2, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7513 is divided by 207?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -6969*c - 202. Let l(i) = 104*i + 3. What is -202*l(a) - 3*n(a)?\nAnswer: -101*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-112*f - 59*f + 47*f)*(2*f + 20*f**3 - 2*f + (-4*f + 3*f + 2*f)*(2*f + 2*f**2 - 2*f) + 2*f**3 - 4 + 4).\nAnswer: -2976*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes after 1:30 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 2*t**3\/11 + 16*t**2\/11 + 42*t\/11 + 36\/11 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -40*t**2 + 39*t**2 + 101*t + 8 - 103*t. What is y(-7)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 6 + -15 + 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3643, -3641, -3639?\n\"Answer: 2*x - 3645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.22563?  (a) 3\/5  (b) 26  (c) 4  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -12, -52, -84, -102, -100, -72, -12?\n\"Answer: m**3 - 2*m**2 - 41*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 3*h - 3. Let g(l) = l**2 + 10*l - 9. Suppose 0 = 182*n - 19 - 271 - 74. Give n*g(q) - 7*u(q).\nAnswer: 2*q**2 - q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/121018 and -93\/847126.\nAnswer: 847126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*h**3*l + 3*h**2*l**2 - 12*h**2*l + 739*l**2 wrt h?\nAnswer: 6*h**2*l + 6*h*l**2 - 24*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*b + 2*b - 3*b)*(1 + 3 - 5)*(-12 + 50 + 3).\nAnswer: -287*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -49 + 68. Let g be (-4)\/(-6)*342\/i. What is the common denominator of (-273)\/(-24) - 3\/g and -64\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 7, -1, -4, 34 in descending order.\nAnswer: 34, 7, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 711039 and 203154?\nAnswer: 1422078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 101 + -130. Is -30 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*v**3 - 1 + 1 + 20*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 82781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000131457 rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {b: 4, k: 4, y: 8, e: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 575, 573, 571, 569, 567?\n\"Answer: -2*p + 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/2*(-8)\/(-6). Let a be 17\/h - (-2)\/(-4). Solve -a = -2*v + 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 26390219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 14*i**5 + 164*i**4 - 9400*i**3 + 12080*i**2 + 699776*i - 200704 = 0.\nAnswer: -32, -8, 2\/7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -37561.00302 rounded to the nearest 100?\nAnswer: -37600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cbcc when four letters picked without replacement from {o: 2, b: 3, s: 3, c: 5, w: 7}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/3)*y**(-3)*y)**(-31)*((y*y**(-2)\/y*y)\/((y\/(y**(-4)\/y*y))\/y*y))**(-17\/5) assuming y is positive.\nAnswer: y**(926\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -134*y. Let h(o) = 4976*o. Determine k(h(c)).\nAnswer: -666784*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 271*j + 396 = 304*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**2 + x**2 - 2*x**2)*(0 - 5 + 3) + (0*x + 0*x - x)*(3*x - 2*x - 2*x) - 1 + x**2 + 1.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3174, 12687, 28544, 50745?\nAnswer: 79290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 + -435a8?\nAnswer: -435a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 36036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19537 + 7268*l**2 - 19537.\nAnswer: 7268*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24 - 1932*p + p**2 + 1932*p to the form f + u*p + j*p**2 and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -6.24272 * -0.4\nAnswer: 2.497088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*i**2 - 35*i**2 + i**4 + i**4 + 1 + 17*i**2 + i as x*i + v*i**3 + d*i**2 + q + b*i**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22906*y**6 + 16216*y**2?\nAnswer: 2748720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the first derivative of 3*x**2\/2 - 2. Let l(j) = -j**2 + 6*j**2 - 3*j**2 + j**2. Give l(r(s)).\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 PM and 7:12 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*k - 3*b + 146 = 0, -4 = b - 5 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of m**4\/4 - 2*m**3\/3 - 11*m**2\/2 + 9*m + 138. Calculate j(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 140\/(-175) - 2\/10 - -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 AM and 4:26 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 a factor of 10584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 4350 * 2\nAnswer: 8700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 129, 17, 1, 2 in decreasing order.\nAnswer: 129, 17, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 121133030033 (base 4) to base 8\nAnswer: 31371417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81869.\nAnswer: 81869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 219559 - 35*r**2 + 394*r - 6*r**3 - 219559 - 121*r wrt r.\nAnswer: -36*r - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 9 = -4*z, -241*u + z = -238*u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(-7)\/(4060\/(-20))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -4*i**2 + i**2 + i**2. Let d(l) = -9*l**2. What is d(w(z))?\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 + -12. Let w be h - (2 + (3 - 2)). Let m be (6\/9)\/((-80)\/(-15)). Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4054349 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 - 27*v**2 - 29*v + 34. What is y(28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzmwmwmxdxxxm. Give prob of picking 1 m, 1 x, and 1 d.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31 - -34. Solve -2*p - 27 = -5*v, -5*p + 2*v = -x + 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (3 + (-252)\/(-15))\/((-57)\/(-1425)) is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1715, -3151, -4587?\n\"Answer: -1436*v - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -14*m. Let b(j) = j. Suppose 0 = -2*o - 2 + 4. Let k(x) = o*y(x) + 8*b(x). Calculate k(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -190 - -121. Let g = -69 - u. Let l(t) = t - 2. Let m be l(3). Which is the closest to 1?  (a) -0.1  (b) g  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k*(k\/k**(-15\/4))\/k*k**(5\/2)*k\/(k\/(k*k*k**(-14)))*k\/((k\/(k\/k**(-3\/22)))\/k) assuming k is positive.\nAnswer: k**(-71\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 99 = -2*m - 35, -2*g - 3*m = -128. Let p = 32 + -17. Let k be (p\/30)\/(1\/64). Calculate the greatest common factor of k and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18298 at least 26257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 3*z + 1. Let r(l) be the third derivative of l**4\/12 + 2*l**2. Let c be r(-3). Let s(g) = -4*g - 1. Calculate c*f(x) - 5*s(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 14\/5 - (1 - 30\/25). What is the second derivative of -106*o**3 + 47*o**3 + 19*o + 53*o**w wrt o?\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, m: 1, n: 6, w: 2}. What is prob of picking 1 m and 1 n?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -5880*k**3 + 3794*k + 5885*k**3 - 12421 + 1246*k + 340*k**2 - 13499 = 0.\nAnswer: -36, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 66 = 211. Let w(c) = c**2 + c - 2. Let p be ((-2)\/5)\/((-1)\/(-10)). Calculate the remainder when x is divided by w(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -82 - -218. Let b = d + -141.7. What is b rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 421620 and 2460.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/162 and (-2)\/(-7) + (0 - (-740)\/30240)?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 76*s**2 + 16*s. Let p(n) = 26*n**2 + 5*n. Let i(r) = -11*p(r) + 4*x(r). Find the second derivative of i(h) wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 20 - z - 2*z**2 + 0*z**3 - 24 + 4*z**3. Is s(4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 494 divide 291375032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 = -901*f + 896*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-x - 2 + 2)*(0*x - 2*x + 8*x) in the form m*x**2 + j*x + i and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - 66) + 761 + -734.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 9\/226601?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -61?  (a) -0.4  (b) 4  (c) -5  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of z**5\/60 - z**4\/24 + 25*z**3\/6 + 9*z**2. Calculate the remainder when 49 is divided by j(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15 + -6. What is the lowest common multiple of 15\/35 + (-12)\/v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -228378506*g**2 - 176124728 wrt g?\nAnswer: -456757012*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g\/g**(3\/2))*g)\/(g**(1\/3)\/g)*g**(-5)\/g**4 assuming g is positive.\nAnswer: g**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 21301, 19189, 17077, 14965, 12853, 10741?\n\"Answer: -2112*t + 23413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3245 + 9736\/3. Which is the nearest to v?  (a) -4\/11  (b) -3  (c) -2  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9 + 85. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3, -13 in decreasing order.\nAnswer: -1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)\/sqrt(64) + -3*sqrt(245))**2*-1*1.\nAnswer: -34445\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3548216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (1 - (4 + -72)) + -66 + 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 + -14?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.1255 rounded to 2 decimal places?\nAnswer: -3.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 2*j - 0*j, j = -5*l. Let i(y) be the second derivative of -y + 0 - 1\/12*y**4 - 1\/6*y**3 + j*y**2. Determine n so that i(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9 + 455?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 2*v + 4. Let o be t(-9). Let i be (-108)\/14 - (-4)\/o. What is the tens digit of (-4)\/i + 31\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 113 = -3. Let s = 298 + -276. Calculate the highest common factor of f and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 12801*k**3 + 6*k**2 + 6*k + 5. Let b(s) = -s - 15 - 3*s + 5 + 3*s. Let m be b(-5). Let n be c(m). What is n rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -5*t**2 + 31*t + 25*t - 12*t**2 - 55*t. Give i(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-78 + 19 - 23)*(5*n - n - 3*n).\nAnswer: -82*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -8, -26.26 in increasing order.\nAnswer: -26.26, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (7 + -8)\/(-2 - -1)*-13. Which is bigger: u or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**3 - 86644*o**2 - 401891616*o + 753490013040.\nAnswer: -4*(o - 1415)*(o + 11538)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - -471036173?\nAnswer: 471036177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-6*(2 + sqrt(832)) - sqrt(832))*1 - (sqrt(832) + sqrt(832) + 3 + -3)*-1) + -3)**2.\nAnswer: 1200*sqrt(13) + 21025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.041 take away -17938898?\nAnswer: 17938897.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 a factor of 7417909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*q + 17*q + 17*q - q - 2*q + 2*q + (4 - 2 - 1)*(2*q - 1 + 1) to the form f*q + u and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5163 and -2347.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1162976167 divided by 4.\nAnswer: -1162976167\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/22 and -75\/13576?\nAnswer: 149336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3*z**2 + z**2 + 3*z**2)*(3 - 1 - 1 + (-35 + 113 + 80)*(9 - 2 + 2)).\nAnswer: 1423*z**2 - 2846","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(11) - sqrt(11)) + 3 + sqrt(11))*4.\nAnswer: -4 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 2, 150, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.229 take away 171305?\nAnswer: -171304.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15 - -6. What is the second smallest value in -5, -1, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-6) + 64\/3. Let c be -4 - 8\/((-32)\/588). Let l = c + 99. What is the highest common divisor of l and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12529668 by 17.\nAnswer: 12529668\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 n, and 2 u when four letters picked without replacement from {u: 5, z: 1, n: 2, h: 1}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*y**3 - 43*y**3 + 11*y**3 + 26*y**3 + y**3 + 16*y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 200, -1, -11, 0 in ascending order.\nAnswer: -11, -1, 0, 4, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*l**2 + l**2 + 4*l**2 - 4*l**2 as v + c*l**2 + x*l and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -4*n - 6. Let r be l(-7). Suppose -5*b + 425 = -5*x, 3*x + 5*b + 245 = r. Let z = x - -113. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*w - 835 - 1306 = 1947. Suppose 2*o + 4 = -36. Let v = o + w. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6 - 2*63\/(-18). Let n(l) = l - 10. Determine n(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (65\/15 - 6)\/((-10)\/4). Suppose -p - 1\/6*q**2 - 2\/3*q = 0. Calculate q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 986579359?\nAnswer: 37, 26664307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of -v**6\/40 - 33*v**5\/80 - 17*v**4\/8 - 3*v**3 + 3857*v + 1. Find h such that t(h) = 0.\nAnswer: -6, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4b + 33160c?\nAnswer: 331659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104087?\nAnswer: 104087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 - 2*q**2 - q. Let z(g) = 2*g**3 + 6*g**2 + 3*g - 1. Let r(y) = -11*m(y) - 4*z(y). Calculate the remainder when r(3) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1207 a factor of 19285667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 889310924 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 2 w when four letters picked without replacement from wutswtwwsstswst.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 304.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 348395 (base 11) in base 9?\nAnswer: 1032307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 174271 and -0.05.\nAnswer: -8713.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5611209 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -7 - -6 - (-1 - 0). Suppose 0*n - 66 = -t + 2*n, -5*n = w. Suppose 8 - t = -2*m. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1062 + 1020 = -6*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 3\/7  (b) 0.06  (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((3\/(-658))\/(3165\/(-8440)))\/(2\/7).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/(-3))\/((-3)\/9). Suppose -5*v + 80 = -s*v. Let d = -28 + v. Round d to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -12 + 20 + -12 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -45.1711 + 0.1711. Let m = 4.2 - 7.2. What is the nearest to 0 in -1, d, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -120 = -2*t - t. Calculate the remainder when 621\/180*4*(-25)\/(-3) is divided by t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/(-60))\/(3\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 943860 to the power of 1\/2, to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*(f*f*(f*f**(-1\/3)*f)\/f)\/f)**25 assuming f is positive.\nAnswer: f**(200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the second derivative of 0 + 1\/20*k**5 + 0*k**2 + 1\/60*k**6 - 1\/24*k**4 + 35*k - 1\/6*k**3. Factor n(m).\nAnswer: m*(m - 1)*(m + 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12\/16 + (-1044)\/(-16) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 561262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-4 - (-8 - -9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 104.3073 * 0.71.\nAnswer: 74.058183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, r: 1, z: 1, m: 2, k: 4}. Give prob of picking 1 k and 1 x.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5970, 5252, 4536, 3822, 3110, 2400?\nAnswer: 1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7968694 is divided by 712.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -6, -4, -7, -36.\nAnswer: -36, -7, -6, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -35741.14 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + 0. Suppose 10 = 3*x - r, r = -m*x - 3*x + 6. Calculate the remainder when (-8)\/(-12) - (-26)\/6 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 - 5 = 4*l. What is the lowest common multiple of 10 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -24*n. Let y(m) = 5*m**2 + 5*m. What is y(q(a))?\nAnswer: 2880*a**2 - 120*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4793\/389232 - -2\/2703. What is the common denominator of z and -11\/288?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59 divided by 65.\nAnswer: -59\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 4*g**2 + 7*g + 6. Let s be n(-6). Let k(p) = p**3 + 10*p**2 - 13*p - 10. Let q be k(-11). What is the highest common factor of q and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2466)\/(-48)*4*(-16)\/27. Let g = r - -122. Which is the smallest value?  (a) 0.4  (b) g  (c) 2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/2, 0.35, 70791, -0.2, -2?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 9 = 6. Suppose 0 = -4*g + i*g + 2. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in twelve sevenths of a week?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29533173 is divided by 7312?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -145 = -15*q - 25. What is the remainder when 36 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1110695.\nAnswer: 5, 17, 73, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 - 2*g + 1. Let h be w(2). Let o = 53 - 52.7. Which is the third smallest value?  (a) h  (b) -1\/4  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vovo when four letters picked without replacement from {x: 1, o: 6, j: 1, t: 1, v: 3, q: 4}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of h**4\/12 - 6*h**2. Let v(f) be the third derivative of -5*f**5\/4 + f**2 - 27*f. Determine v(z(g)).\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 971.5049 kilometers in millimeters?\nAnswer: 971504900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34878438 divided by -18.\nAnswer: 1937691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -1, 3340738 in descending order.\nAnswer: 3340738, 15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3\/6 + 6521*s**2\/3 + 7351136*s + 1704534000.\nAnswer: (s + 250)*(s + 6396)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 184179 is divided by 5518?\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 + 5*h**2 + 3. Let c(f) = -f**3 - 5*f**2 + f + 7. Let r be c(-5). Let x = r - 5. Let g be a(x). What is the highest common divisor of 14 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35917.\nAnswer: 7, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -20*o**2 + 2*o**2 - 4*o**2 - 26*o**2. Let p(i) = -i. Determine p(x(z)).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1043, -0.1, -2, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 - 4*c**2 - 5*c + 2. Let m be o(5). Suppose 0 = -3*g - m*l + 102, l + 75 = 2*g - 0*l. Let t = g + -27. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37, -14, -119, -278?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 24*h**2. Let n(k) = -151*k + 2469. Determine n(t(g)).\nAnswer: -3624*g**2 + 2469","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*i**2 + 4*i**2 + 8*i**2 + 0*i**2 as n + p*i + u*i**2 and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 + -10. Let k(h) be the first derivative of h**2\/2 - 8*h + 2. Let v be k(n). Which is the third biggest value?  (a) v  (b) -2\/5  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2917 and 9.\nAnswer: 26253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -17496108 divided by 36\nAnswer: -486003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3136*u = 3381*u - 1404*u + 66469 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (-45 - -34 - (-45 - 1)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 20\/63 + -208\/1449. Let m = 11\/69 + b. What is the nearest to m in 2, 1\/3, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(5) + 0))**2 - (sqrt(5) - (-2*sqrt(45))\/sqrt(9)).\nAnswer: -3*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12174215*a*p**3 - 1408*a*t + 18*p**3*t + 23625 with respect to p.\nAnswer: 36522645*a*p**2 + 54*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -15856 + 2*j**4 - 4*j**2 + 15854 - 2*j**3 - j**4 - j in the form p + n*j**2 + a*j**3 + t*j**4 + y*j and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -4 + (-8 - 1) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 49, 61, 73?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -t - 0*l - 1, 0 = -3*l + 9. Suppose 4*q + t*u - 53 = 3*u, -5*q = -4*u - 15. Let w be (-2)\/(-7) - 66\/(-14). Solve q = 3*k - w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17 - -22. Suppose -5*r + 5*f + 15 = -20, z*r - 4*f = 39. Suppose 0 = 2*y - 4*y + 2. Solve -r = -3*n + y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 993 and 1195903.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**2 + 378*l - 28268. Determine b(102).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10305 + -10304.915. Let k be ((-3)\/(-5))\/((-15)\/(-10)). Which is bigger: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10414 and 1312?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 AM and 11:30 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 + 7*b - 6. Let f be i(4). Let m(o) = 8*o - o**2 + 4 + 1 + 2. Is m(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6\/328099 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (49\/490)\/(((-9)\/(-15))\/(-1)). Which is the second biggest value?  (a) 15  (b) -8.5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 - 7. Let p = c - -43. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -138734858 + g**2 + 138734858 - 2242*g.\nAnswer: g**2 - 2242*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 1\/5, 9.9, -11, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 314.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11229\/15701 - 2\/2243. Which is the nearest to -0.2?  (a) h  (b) 2  (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + -4 - (6 + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1736660 is divided by 578868.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -131 + 121. Let v be 10*-3*(-2)\/u. Calculate the remainder when 2\/v + -3 + 777\/9 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 + -1867680529899.\nAnswer: -1867680529899.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5 - -374 - (-6 + 10). Let j = d + 966. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -795*i + 3021*i + 392*i + 39270 = 0 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the first derivative of -u**7\/840 - u**6\/72 - u**5\/20 - u**4\/24 + 5*u**3\/3 + 61. Let d(l) be the third derivative of y(l). Give d(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 180 = -0*y. Let d = -114 - -286. Let z = d - 148. Calculate the highest common factor of z and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 615*t - 809*t - 76896 = 759*t + 1450*t for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, i: 3, m: 3, l: 5, u: 1}. Give prob of sequence moii.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h**2 - 7*h + 6. Let m(l) = -l**2 - 6*l + 5. Let q(p) = -3*m(p) + 2*x(p). Suppose -8*z + 1 = -15. Calculate q(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -127.1  (b) -3\/4  (c) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2174.8 + -2175. Which is the closest to -3?  (a) n  (b) -61  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 3\/2  (b) 5  (c) 5.3  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 27 = -t, 39 = j - 0*t + 3*t. Let u(d) = -d**3 + 33*d**2 - 37*d + 31. Is u(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16\/3?  (a) 8  (b) -3  (c) -21  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 16*w = -12*w - 29, -3*w = -5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*v - 241 = -15*v. Let j = v + 247. What is the smallest common multiple of 36 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t and 1 q when four letters picked without replacement from {t: 4, g: 1, q: 7, k: 3, a: 2, w: 1}.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**2*q)**(-25\/2))**41*(q**(1\/4)*q**(-2\/13))\/((q*q*q**(2\/5))\/q)**14 assuming q is positive.\nAnswer: q**(-404821\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38 - (-28 + (73 - 38)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 3675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 25 - 39. Let g(p) = -p - 2. Is g(n) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.97199 and 0.6.\nAnswer: 1.57199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1349027830 divided by -5.\nAnswer: -269805566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 776468 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 40 = 2*g + 5*y, 2*y = 3*g - 52. Solve -2*v + 3*j + 7 = -1, -5*v + g = -3*j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:50 PM and 6:36 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + 6\/((-6)\/(-3)). Suppose k = -r*v - 138, -2*k - 180 = 5*v + 3*k. Is 23 a factor of (-8496)\/v - (-4)\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*m - 2*m - 2*m + m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**5 - 66*k**4 + 191*k**3 - 126*k**2.\nAnswer: k**2*(k - 63)*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) 3  (c) 0.3  (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 960112 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2191 - 485. What is the tens digit of 2\/12*v - (-4)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t - 11. Let r be k(-14). Suppose r*f - 7*f = -100. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 take away 0.068856065?\nAnswer: -0.168856065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 + 9. Let x = 0.1 + -1.7. Let u = 2 + x. Which is the third biggest value?  (a) -5  (b) l  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 6867*h + 6862*h - 147 = 0, 2*g + 4*h + 112 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -9*h + 12. Suppose -7 - 8 = -h*v. Let o = 257 + -254. Calculate the remainder when v is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 39.1 + 207.9. Let p = 246 - r. Sort 2, 148, p in ascending order.\nAnswer: p, 2, 148","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 - 2*m**2 + m. Let q be r(1). What is the nearest to q in -3, -0.7, -1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oo when two letters picked without replacement from dddodddpddodfd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*h - 3*h + 4*s, -h + s = 0. Let o(n) = n**2 - 1. Let a be o(h). Suppose -q - 3 = -4*i, -a*q - 2 = -4*i - 1. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 57, -6, -40 in decreasing order.\nAnswer: 57, -1, -6, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 10) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a + 19. Let x be o(-11). Calculate the lowest common multiple of 2\/x + 54\/72 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**2 + 371*p - 4179. Let c be u(11). Calculate the highest common factor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 13756 or 13744?\nAnswer: 13756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.766 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + -1 - (35 - -28 - 68) - 61?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(3200)*4 + (sqrt(288)*-2)\/sqrt(9) + sqrt(1568)*2)**2.\nAnswer: 25088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 7*z**2 - 3*z - 2. Let f be x(-3). Let n = f - 58. Calculate the common denominator of 75\/4 and (12\/(-3))\/n*-15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = -16\/23601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of i**5\/20 - 5*i**3\/6 + i**2\/2 + 5*i - 9. Let d be z(2). Which is smaller: 6\/37 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.46 + -0.06. Let t = 2 + -5. Which is the third smallest value?  (a) t  (b) u  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7879 + -7872. What is the remainder when 962 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 - 50*s**2 - 48*s + 53. Calculate the remainder when y(-49) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -556888 or -556566?\nAnswer: -556566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 3*k - 47. Let s be h(10). Which is smaller: -15 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30*w + 35*w + 119*w)*(-1 - 2 - 2)*(4*w - 4*w + 2*w).\nAnswer: -1240*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -89278\/3 - -30247. Let u = -499 + o. Calculate the common denominator of 79\/6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 7*i + 1. Let o(s) = 21*s + 4. Let w(r) = -2*o(r) + 7*t(r). Is 6 a factor of w(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10693 is divided by 1186?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 52642507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1435 - -11477\/8. What is the closest to 0.3 in k, -156, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -133\/4*x**4 + 0 - 19*x**3 + 4*x + 7*x**2 - 45\/4*x**5 = 0.\nAnswer: -2, -1, -2\/5, 0, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -378, -454, -544, -654, -790, -958, -1164, -1414?\n\"Answer: -q**3 - q**2 - 66*q - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 44, 141, 212, 263, 300, 329, 356, 387?\n\"Answer: c**3 - 19*c**2 + 147*c - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2361 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 1:15 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 30 or 1\/29951?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 66748226543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -53, -56, 1, 148, 415?\n\"Answer: 5*z**3 - 38*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -3*d**2 - 3*d + 9. Let j be q(-4). Let s = -253 - -435. Suppose -3*k - 4*k - s = 0. Which is bigger: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 + 4*w + 5. Let j be h(-4). Let u = -755 - -764. Suppose 2*y + u - j = 0. Let f(x) = -10*x + 16. Let g(o) = -2*o + 3. Determine y*f(t) + 11*g(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 147 + -146. Let n be -1 + 1 + o + 1 + 1. Suppose 3*p + 4*u = -4, 5*p - 3*u - 24 = 8. Solve n*k - 2 - p = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -213 - -217. Suppose f*y - y - 9 = -v, y + 2*v = 8. Solve 3*k = -w, 0 = 2*w - y*k - 3*k + 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (5180\/560)\/(1\/1100).\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**17*r**(-15\/4) assuming r is positive.\nAnswer: r**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b + 3*b + 36 = 0. Suppose -b = -2*w - 4. Find the first derivative of 0 - 9*r**4 + 5*r**w - 3 wrt r.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 48, 5 in ascending order.\nAnswer: -10, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 649.1715 to zero decimal places.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-2)\/112)\/((-141)\/(-4700)) and -41\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.371 - 0.029. Let d be (3\/(-2))\/(54\/8). Let u = -0.5 + 0.6. What is the closest to u in 0.5, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.122 + 4.082. Sort f, 0.12, -3, 1\/4 in decreasing order.\nAnswer: 1\/4, 0.12, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes before 7:16 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -40*u**2 + 8636*u + 864.\nAnswer: -4*(u - 216)*(10*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -148361*c*r - 96*c + 421 with respect to r.\nAnswer: -148361*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2 + 3*m + 6*m**2 - m - 3*m + m**3. What is the tens digit of r(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 + -1)*2\/4. What is the highest common divisor of 9 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wqqqwwqfwwqqqqqwwwwq. Give prob of sequence wf.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 8 + 12. Calculate the highest common divisor of a and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6174 is divided by 2056.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 49 - -1?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 3, v: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 12*v. Let a(w) = 3*w + 18. Let m(s) = 13*s + 81. Let z(j) = 9*a(j) - 2*m(j). Determine r(z(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 1408*n**2 - 27. Let f(i) = -12*i. What is d(f(g))?\nAnswer: 202752*g**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (90*q - 46*q - 38*q)*(-634 - 973 - 131 - 52 + 16) + 2*q - 3*q + 2*q.\nAnswer: -10643*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s. Let k(b) = 5*b**2 + 3*b + 3. Let i(f) = 14*f**2 + 8*f + 8. Let d = -8 - -5. Let r(p) = d*i(p) + 8*k(p). Give n(r(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 25823 and 4743?\nAnswer: 232407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -354144 (base 6) to base 8.\nAnswer: -74020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 28960 and 11584.\nAnswer: 57920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**0*v)\/(v\/(v\/v**(-2))))**1*(v**(2\/3))**(2\/25)*((v*v*(v*v**(-2\/5)*v)\/v)\/v)**(-2\/7) assuming v is positive.\nAnswer: v**(1363\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 153\/(-102)*(-64)\/(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 2 + 155 + -114 + 1 + 0.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 140 + -75. Let o(k) = -2*k + 65 - a. Let x(u) = -5*u. Calculate x(o(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.658 + -65.858. Let m = d + 65.6. Which is the biggest value?  (a) -1\/3  (b) 130  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6d42 (base 14) in base 16?\nAnswer: 4a7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (72\/54)\/(4\/6*-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.13 + -2.57. Let n = 6 + -3. Let p = n + d. What is the smallest value in -1\/9, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/(j*j**(-22)))\/(j\/j**(1\/2)) assuming j is positive.\nAnswer: j**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-32)\/16 + 4\/2. Solve h = -0*t + t - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2 - 3*h + 12. Suppose -2*t + 33 = -y - 4*y, -t = -2*y - 14. Let b be a(y). Find the third derivative of -4*j**2 + j**b + 6*j**2 - 5*j**4 wrt j.\nAnswer: -120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1826273, 1826323, 1826373, 1826423, 1826473?\nAnswer: 1826523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 183, 212, 221, 198, 131, 8, -183, -454?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 1. Let b = 0 + 5. Suppose -5*r = -10*r + b. Let x(o) = -3*o + 1 + 5 - o + 6*o. Determine r*x(v) - 6*a(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-3) - (2 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100201220102 - -12?\nAnswer: -100201220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1d2b - 1?\nAnswer: 1d2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 6916*x - 6163. What is f(1)?\nAnswer: 753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 6*h**3 + 148*h**2 - 42*h + 192. Give d(-25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 191 in -4, 4, -23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*o + 1232 = 61*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-93)\/(-12) + 2)*5156*(-9)\/(-27).\nAnswer: 13, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**4\/5 - 68855*o**3 - 68854*o**2 + 275420*o + 1377096\/5 = 0. Calculate o.\nAnswer: -344274, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 735 and 5635.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1670 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: Sort 2, -2311, 5, -2, -2\/9 in descending order.\nAnswer: 5, 2, -2\/9, -2, -2311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -3*h + 5*h + h. Let m = 185 + -139. Let r(n) = -m*n + 23*n + 26*n. Determine l(r(u)).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1260 is divided by 369?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7*(-18)\/(-336))\/((-210)\/(-40))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50761673.\nAnswer: 19, 2671667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 18*n**3 + 51*n**2 - 35*n - 1. Is x(27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 + 18*b - 9. Calculate j(-15).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 42635170 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 - -34. Suppose 3*g - 3 = -2*c, 4*c - 10*g = -15*g + 7. Sort c, d, -3.\nAnswer: -3, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-9)\/p**(-27))\/(p**(-21)\/p**(1\/3)))**(-2\/105) assuming p is positive.\nAnswer: p**(-236\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 - x - 1. Let w be 463*4\/(-28) - 3\/(-21). Let p(z) = -24*z**2 + 4*z - 11. Let k(t) = w*d(t) + 6*p(t). Find the second derivative of k(m) wrt m.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24*o**3 + 9*o**3 - 4*o - 2*o**2 + 0*o**3 - 11*o + 17*o**3 to the form b + w*o**3 + y*o**2 + p*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 10 = 0, 2*u + 0*o - 5*o = 35. Suppose -5*x = 4*s - 128, u*s = 6*s + x - 32. Let c = 33 + -16. What is the remainder when s is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**4 - 566*a**3 + 569*a**2 + 1134*a.\nAnswer: -a*(a - 2)*(a + 1)*(a + 567)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*g - g**2 - g - 36*g**3 + 2*g**4 - g**4 + 35*g**3 in the form v*g + p*g**2 + y*g**3 + t*g**4 + j and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 5, s: 7}. Give prob of picking 3 w and 1 s.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 27 - 25. Suppose -c*o - 3*q - 2 = 7, 0 = -4*o - 4*q - 8. What is the second derivative of -3 + 6 + 5*l - o*l**5 - 3 wrt l?\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.36 times 13\nAnswer: 4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-7)\/(28\/(-78296)) + -1 + 5. Suppose 0*z - c = -6*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 30*d**2*f**2 - 4*d**2*f - d**2 - 670*d*f + 4957*f**2 + 7*f - 2 wrt f?\nAnswer: 60*d**2 + 9914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j\/j**(-3)))\/j*j*j*j**2\/j*j)**(-7\/4)*(j\/j**(-1))**(-4\/15)\/(j**(-2)\/(j*j**(-6))) assuming j is positive.\nAnswer: j**(-53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1511 + -1419. Calculate the remainder when 550 is divided by l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**2 - 14*b + 15. Let n be z(11). Let j = -13 - n. Suppose -14 = -r - 5*y, 4*r + 0*y - 181 = j*y. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 38 and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 2*n - 5 = 0, -11 = -3*o + 2*n + 2*n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -318031448 by 1776712.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 46 + -49. List the prime factors of 3 + -8 - (u - 58).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - x - 3, 0 = a + 3*x + 2*x - 29. Let q(n) = -a*n + 2*n + 3*n. Let y(z) = -3*z**2. What is y(q(l))?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p**2 + 0*p**2 + 903 + 3*p**2.\nAnswer: 2*p**2 + 903","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 41 + -37. Suppose -42 = t - s*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in -0.5754, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -4*o + 3*w, -3145*o + 4*w = -3151*o - 26. Factor 0 - 8\/9*j - 2\/3*j**2 + 14\/9*j**o.\nAnswer: 2*j*(j - 1)*(7*j + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 48\/943 and -11\/205?\nAnswer: 4715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/((-6)\/(-9)))\/(45\/(-30))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -32 - -31. Suppose -17 = -3*z - 5*x, 0*x + 9 = 3*z - 3*x. What is the least common multiple of (-2)\/z*-6 + r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.094*3168\nAnswer: -297.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1518*r + 1522*r - 3*y - 42 = 0, 0 = 2*y + 28 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4788.758 grams in tonnes?\nAnswer: 0.004788758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + -1 + sqrt(7) + 0 + 3*sqrt(63) + (sqrt(7) + sqrt(343) + 0 + (sqrt(7) + -1 + sqrt(7) - sqrt(7)) + -5)**2.\nAnswer: -97*sqrt(7) + 602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 48\/5 of a second?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*p**2 - 5*p**2 + 3*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 808 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 72848, 72832, 72816, 72800, 72784?\n\"Answer: -16*o + 72864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 21\/(-14)*50\/(-3). Suppose 0 = -3*t - 2*t + b. Suppose 3*f + t*p = 7*f - 100, -4*f - 3*p = -132. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (48\/8)\/(6\/4). Find the third derivative of -3*g**3 - 964*g**2 + 0 + 35*g + 963*g**2 + 0 - 9*g**u wrt g.\nAnswer: -216*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + w = 0. Solve w = m - 0*m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b. Let t be (536\/12)\/(2\/(-3)). Let q = t + 95. Let s(p) = q - 28 - p. What is -l(z) + s(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10111 - -210223?\nAnswer: 221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: -169 - -187 - (12 + -2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(2\/17)*h*h*h*h)**(-14)*(h**(4\/11)*h)**(19\/4) assuming h is positive.\nAnswer: h**(-48747\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/12 and -81\/9292.\nAnswer: 27876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 251*v - 97. Let f be p(2). Suppose -10*r + 1765 = f. Calculate the greatest common divisor of 170 and r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 + -8. Let p(l) = l**3 - 6*l**2 + 2*l - 8. What is the lowest common multiple of 12 and p(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 75 = 95. Suppose q = 3*q - a - 378, 2*a = f*q - 944. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**5 + 736*f**4 - 3952*f**2 + 8. Let d(j) = -j**5 - j**4 + j**3 - 5*j**2 - 3. Let h(y) = -3*d(y) - p(y). What is the third derivative of h(r) wrt r?\nAnswer: 120*r**2 - 17592*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = 0, -3*p = 25*v - 30*v - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8960465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 2507 = -5*l, 671 = l + 5*g + 148. Suppose m + 620 = 5*j + 4*m, l = 4*j + m. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - 1)\/(2\/(-138)). Suppose 30*w - 4*w = -1456. Let o = s + w. Calculate the greatest common factor of 52 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 23800.2597 microseconds?\nAnswer: 0.00000003935228125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -9*n**2. Let y(t) = -3*t**2 - 4. Let f = 0 + 4. Let c(i) = -4*i**2 - 5. Let b(l) = f*c(l) - 5*y(l). What is z(b(h))?\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 10 + -1 + -10 + 18?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1530 and 20196.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 14560 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: Let -5*r**5 + 1255*r**4 - 21780*r**3 - 8220080*r**2 + 8279200*r + 16476240 = 0. Calculate r.\nAnswer: -66, -1, 2, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -4652, -4641, -4618, -4577, -4512, -4417?\n\"Answer: x**3 + 4*x - 4657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*p - 4*p - 120 = 0. Let n = p + -8. What is the lowest common multiple of 18\/(0 - (-2 + 1)) and n?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 - 6*c**2 - c - 2. Does 50 divide k(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -547*f - 749*f - 5295 = -1063*f - 169 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d + 10. Let c(t) = -3*t**3 + 16*t**2 - 11*t + 16. Let i be c(5). Does 11 divide z(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 15*l - 8768 = 8678 - 18054 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and -10\/129833 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2\/3 + 201*a + 5930\/3.\nAnswer: (a + 10)*(a + 593)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x**3 - 35*x**2 + 50*x + 80 = 0. Calculate x.\nAnswer: -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - (0 + 2)) + 1. Suppose -5*g = -m*g + 20, w - 5*g = 22. Suppose -27*h - 6 = -60. Solve -3*k + w*k = h*a + 1, 0 = 3*k - 3*a - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9274045 litres to millilitres.\nAnswer: 927.4045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 969\/4 - 10671\/44. Is -5\/2 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.64565 millilitres in litres?\nAnswer: 0.03864565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -4, 3, -1.8, 2\/3, 1\/2 in increasing order.\nAnswer: -14, -4, -1.8, 1\/2, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-48)*-12)\/(-12*(-4)\/672)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1907059328.\nAnswer: 2, 37, 281, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 2*b + 260330 = 0, -231186 = -5*m - 3*b + 94225. What are the prime factors of m?\nAnswer: 2, 53, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 142 = -194. Let u be (-4)\/7 - (-104)\/y. Solve 2*g - u + 2\/3*g**3 - 2*g**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*n, -3*o - 4*n = -7711 + 76. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*u - 41 + 63 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 841 is divided by 169?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4941*m = -4832*m + 1744 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 4*j**2 - 6*j + 28. What is the remainder when b(5) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**2 - 10*f - 22. Let c be p(-6). Let j(g) = -11 + 10*g**2 - 5*g**c + 4 + 12*g. Is j(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = 5*o + 5, o - 3*o = 4*y + 8. What is the second derivative of -u**o + 5*u + 9*u - 6*u**2 + u**2 wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wsc when three letters picked without replacement from swssscswwwcwswwwswww.\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - 943 = 1253. Suppose -9*u = o - 384. Solve 17 = -u*q + 23 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**2 + 7*y**2 - 3*y**2)*(-3*y - 2 + 2)*(7 + 46 - 85).\nAnswer: 192*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 PM and 9:49 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 24, 203, -1, -290 in increasing order.\nAnswer: -290, -1, 24, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**2 - 4*k - 2. Let r be b(4). Let w = -7 - r. Let n(f) = f**2 + 3*f. What is the tens digit of n(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 and 17869998.\nAnswer: 89349990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**2 - 5*p - 8. Let y be u(6). Let l be (0 - -12 - 11)*2. Suppose 5 + 1 = 5*b - c, -b + 4*c + 5 = 0. Sort l, b, y, -1 in decreasing order.\nAnswer: l, b, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9.3 + 31.5. Let j = b - 40.80617. Round j to four dps.\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -10\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 306 - 306.103. Let j = -3.897 + i. Which is the second smallest value?  (a) -5  (b) 2\/91  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 27) + 198 + -177\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -65.6373272968\nAnswer: -62.6373272968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -510*g + 99276 + 6632 = -499*g. List the prime factors of g.\nAnswer: 2, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15746, -62735, -141048, -250685?\nAnswer: -391646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 81682735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 2*m = 11, 6 = -3*k + 3*m + 3. What is the units digit of (2 - 1)*(k - 10*-29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3148499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w + 3. Let s(i) = 3*i + 4. Let z(r) = -3*s(r) + 5*x(r). Let f be z(2). Solve 0*b + c - 10 = 2*b, 0 = -f*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 165 + -163. Solve -5*l = -3*l, 0 = -n*j + 2*l + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, -5, -1 in descending order.\nAnswer: 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 177 + 266. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 39763\/12362 - 2\/883. Find the common denominator of -103\/10 and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 14*v. Let y(s) = -17*s**2. What is y(a(u))?\nAnswer: -3332*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -563  (b) 0.07  (c) -0.5  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3 + (-15)\/5)\/2. Suppose a - 11 = -4*i + 17, b = -i + 2*a + 16. What is the lowest common multiple of 6 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 4*f**3 + 5. Let k = -10 - -13. Let r(h) = h**3 + 1 - 5*h**k - h**2 - 7. Let l(s) = 6*p(s) + 5*r(s). What is the third derivative of l(c) wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/86 bigger than 8580\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 341885?\nAnswer: 5, 101, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5 or -140\/29?\nAnswer: -140\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 278195981 to the nearest integer?\nAnswer: 16679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 + 104*l + 651. Calculate j(-6).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*n*o**3*t + 873*n*o**2*t + n - 4*o**3 + 2*o**2 + 816514*o + 1717*t wrt t?\nAnswer: -2*n*o**3 + 873*n*o**2 + 1717","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - (-1 - -5)) + (-22 - -21).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12485 + -2812. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(-4)*2\/(-4). Suppose 0 = 41*l - 25*l. Are w and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14244501 and 7530.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/9*j**3 - 68\/9*j + 16\/3 + 22\/9*j**2.\nAnswer: -2*(j - 6)*(j - 4)*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 5*r - 5*k, 2*k - 2 = -0. Let i(b) be the third derivative of -b**5\/60 + b**4\/6 + b**3 - 2*b**2 + 101*b. Calculate i(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 471173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1486 is divided by 580?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes before 9:53 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -5*x - 3*s + 2*s, 10 = 2*x - 4*s. Suppose p = -x*p - 32. Let b = 33 + p. What is the remainder when 73 is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82 + 3*v**2 + 82 - 6*v + 21*v**2.\nAnswer: 24*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 39 + -43. What is the tens digit of 1 - x - (-36888)\/58?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 0.4, 188, 0.12, -0.2?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10696 times -9.703?\nAnswer: -103783.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 646 = 3*y, 5*m + y - 796 = -y. Calculate the greatest common factor of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 times 44.062?\nAnswer: -1101.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 0 - 4563\/4*g**3 - 3\/4*g**4 - 390971529\/4*g - 2313441\/4*g**2 = 0.\nAnswer: -507, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 - 6*z**2 + 2*z - 1. Let d be q(-3). Suppose -m - 63 - 93 = 5*k, 0 = 3*k + 5*m + 76. Is k >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l + 11. Let j be d(-8). Let v(g) = -2*g**2 + 4 - j + 2*g**2 + 6*g**2. Let w be v(1). Solve 4*r + u - 4 - w = 0, 0 = 5*r + 5*u + 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 192*z**2 - 1930*z - 769643 - 63552*z + 10328318 - 30310*z + 10112*z.\nAnswer: 3*(8*z - 1785)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 8 = -2. Let n = q + 10. Suppose 0*z + n*z - 400 = 0. What is the highest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - 2. Let i be (1 + k)\/(0 - -1). Solve -3*c - 2*o + 21 = i*c, -4*o + 15 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i\/(((i*i**(4\/7))\/i)\/i))**(-12)\/(i**(-10)\/i*i**(-5\/6)))**(-49) assuming i is positive.\nAnswer: i**(5089\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*v**4*x**3 + 28220*v**3*x**3 + 2*v**3 + 2*v**2*x**3 - 2*v**2*x**2 + 3513*v*x**3 wrt v.\nAnswer: -48*v*x**3 + 169320*x**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -4*r - 7, -2*r = 3*d - 17. Solve -2 = d*k - 6*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 263932.\nAnswer: 2, 65983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from sccscsscsc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -1991*p**3 - 2. Let r(w) = 3985*w**3 + 5. Give -2*r(z) - 5*s(z).\nAnswer: 1985*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 q when three letters picked without replacement from {k: 7, q: 7, y: 5}?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 3535174?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -33337.420344 + 33335.5. Let p = 1.92 + z. Round p to five dps.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 0*y + 3 + 0*y - y. Let c be x(4). Sort c, -2, 4 in ascending order.\nAnswer: -2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -3*a**2 + 2870418*a - 2870415 = 0.\nAnswer: 1, 956805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q - 6*q = 2*q. Let m be (q + 1 + 15)\/((-16)\/(-32)). What is the first derivative of m*x**4 + 195 - 86 - 93 wrt x?\nAnswer: 128*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 351*d**3 + 473*d**3 - 639*d**3.\nAnswer: 185*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -i**2 - 296*i + 296*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j*(j\/((j\/(j*j**(-30)))\/j))\/j*j**(5\/4)*(j**(-1\/37))**(-19) assuming j is positive.\nAnswer: j**(-3735\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 1 = 23. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 224, 3, 0, -10, 5 in descending order.\nAnswer: 224, 5, 3, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Sort -53, 3, -1, -4, 895 in increasing order.\nAnswer: -53, -4, -1, 3, 895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 at least as big as 2280\/317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -85\/39 - -284\/13. Let p be ((-10)\/86)\/(2\/1). Let j = p - 396\/215. Find the common denominator of z and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 3:33 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.042 + 0.312. Let t = 0.276 - k. What is t rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 130*a**2*b + 607*a**2 + 1164*a*b + 2311553*b + 16 with respect to a.\nAnswer: 260*a*b + 1214*a + 1164*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 207 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -8*o**2 - 6*o**3 + 6*o**3 + o**3 - 2 + 14*o + 3*o. Let l be d(7). Calculate the highest common factor of l and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -14*i - 28. Let y(k) = k**3 - 4*k**2 - k - 1. Let p be y(4). Let r(o) = -9*o - 19. Determine p*t(l) + 8*r(l).\nAnswer: -2*l - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-1*(-4*sqrt(95) - sqrt(95)))\/sqrt(5).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -39232735 < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9247 - 593*o - 9247 - 1994*o to s*o + d and give s.\nAnswer: -2587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*a**2 - 2*a**2 + 224*a + 46*a.\nAnswer: 3*a**2 + 270*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 2 g, and 1 t when four letters picked without replacement from glggggtultllggllgg?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.2275 + -11.\nAnswer: -9.7725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**2 - 48. Let f(c) = 2*c**2. Determine f(p(u)).\nAnswer: 8*u**4 - 384*u**2 + 4608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 AM and 2:56 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 37994 and 484.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/28 - 38\/(-14). Suppose 0*a = v*a - 18. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/14, -65, -8663, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 112 - 102. Solve -3*l + j + 5 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1421 (base 9) to base 16.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + 3*b - 3, -4*b - 15 = -5*y + b. Let k = -15 + 31. Solve -y*m = -7*m + k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/10)*r\/(r**(3\/2)\/r)*r**(4\/3)\/(r**(2\/9)*r))**23 assuming r is positive.\nAnswer: r**(529\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1632\/(-119))\/(-8)*-7)\/(27\/225)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -w**4\/6 - 20*w**3 + 121*w**2\/6 = 0.\nAnswer: -121, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 5, z: 3}. What is prob of sequence zez?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-4))\/(14650\/11720)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 + (0 - 1) + 15. Let m = 0 - 0. Let j be (m - -15) + -4 + 3. Solve -5*n + 5*p + v + j = 0, 4*p = 3*n - 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-399)\/(-882) + (-2)\/12)*82\/(-492).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2 - 1132866*t - 35119807.\nAnswer: (t - 1132897)*(t + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 5*n + 27749 = 0, -106*a = -102*a - n - 110954. Is a a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -70994*y*z**2 - 9*y*z - 27*y + 3685444*z**2 + 10 with respect to y.\nAnswer: -70994*z**2 - 9*z - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87179*b + 87179*b + 24*b**3.\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 360\/162 + 2*1\/(-9). Solve u*k + 2 = -4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 21*s**2 - s - 1. Let f be u(-1). Let y(i) = 10*i - 6*i + f - 25 + 3*i**3. Let j(h) = 3*h**3 + 3*h - 3. Give 4*j(g) - 3*y(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 7, i: 2, f: 1}. What is prob of picking 3 h and 1 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*v - 9*v = 6. Suppose y - v*m - 36 = 0, 2*m - 216 = -5*y - m. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 170\/21 - 829\/105. Which is the fifth biggest value?  (a) p  (b) -19  (c) 4\/3  (d) 0.5  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 5*a + 1, -a = d - 2*d. Is (d + 2\/(-4))*(4670 - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -142*r**3*u**2 + 29*r**3 - 2*r**2*u**2 - 15*r wrt u?\nAnswer: -284*r**3*u - 4*r**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-1 - -2) - -1. Let w(a) = r*a + a - a. Let g(m) = 7*m + 6. Let q(d) = d + 1. Let j(u) = -g(u) + 6*q(u). Determine -4*j(y) - 3*w(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -32 + (10 - -3) + 8\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 214457376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 343 - 12205358008?\nAnswer: -12205357665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2440 and 740?\nAnswer: 90280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by -2476\nAnswer: 7\/2476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 19312 and 7608928?\nAnswer: 7608928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 15*y - 3. Let w(j) = 2 + 10*j - 8*j - 9*j + 2*j - 3*j. Calculate -6*p(v) - 10*w(v).\nAnswer: -10*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 + 10*w**2 + 17*w + 10. Let s be v(-8). Which is the closest to 2?  (a) -1  (b) s  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 6, j: 7}. What is prob of sequence ejjj?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 260373426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 124 + 104 = 0. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18388\/11 + -1668. Let p = r - -223\/220. Calculate the common denominator of 37\/8 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -16161560 or -16161558?\nAnswer: -16161558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence crp when three letters picked without replacement from {c: 1, r: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1430?  (a) -7.5  (b) -2\/13  (c) -247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -k + 2*d - 3*d, 4*d = 3*k - 6. Let t be 0 - (-1)\/14*k. Let l = -1.7 - -1.9. What is the closest to 2 in -0.2, l, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 11 + -12 + 5 + (-6 - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 3*o**2 - 2*o. Let s be v(2). Is (32\/(-6))\/(s\/(-12) - 0) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.48329+-0.2\nAnswer: 0.28329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, i: 1, n: 5, e: 4, d: 2, v: 2}. Give prob of picking 1 i, 1 d, and 2 e.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:08 PM and 7:45 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115 = 15*g - 38*g. Let o be 10\/(-35) + (-2)\/(-7). Solve -30 = 3*p + g*t, 4*p = 5*t - o - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -0.2, 64, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2430, 2428, 2426?\n\"Answer: -2*p + 2432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6450 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*r**2 - 4*r**2 + 10*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -11*j. Let t(u) = 32*u**2 + 2. Calculate p(t(g)).\nAnswer: -352*g**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 + 12*b**2 - 5*b + 13. Let k be u(11). Suppose 5*n = 51 + k. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -244 or -1217\/5?\nAnswer: -244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12.1 + -12. Sort 2\/17, x, -2 in descending order.\nAnswer: 2\/17, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**0)**(17\/3)\/(w**0\/w)**(4\/13))\/((w*(w*w**(-1\/3)*w)\/w)**17*(((w\/w**(-2\/7)*w)\/w)\/w)**(1\/74)) assuming w is positive.\nAnswer: w**(-283126\/10101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.45?  (a) 0.5  (b) 0  (c) -12  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 356 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o**(6\/11)*o**1)\/(o**(-20)*o*o**5))**(-19) assuming o is positive.\nAnswer: o**(-3667\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-405)\/36)\/((-3)\/5912). Let j = s - 10837. Suppose j - 425333 = -2*t. What is t rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(192) + -1 + 3 - (1*(0 + sqrt(192)) + -2))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w - 6*w = -6*w. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of 13*r**7\/210 + r**4\/2 - r**2. Find the second derivative of g(t) wrt t.\nAnswer: 156*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppoooooooloaxofofooo. Give prob of sequence lxll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-21))\/((-36)\/(-42))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 3*n**2 - 75*n + 72. Let o(s) = -12. Let h(z) = 15*o(z) - y(z). Factor h(x).\nAnswer: -3*(x - 21)*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4522)\/(-266) + (-26)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5229619023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -7, 37, 185, 491, 1009, 1793?\n\"Answer: 9*c**3 - 2*c**2 - 13*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 627*r**2 - 650*r**2 + 163*r - 159*r - 6.\nAnswer: -23*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -8080, -32478, -73154, -130108, -203340, -292850?\n\"Answer: -8139*c**2 + 19*c + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 49 - 45. Suppose 198 = -33*x + 42*x. Calculate the least common multiple of x and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*g = -103 - 50. Suppose 234 = -g*s - 17*s. Let q(l) = l**2 + 7*l - 12. Determine q(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from yyyyyeeyy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(13) - 1*sqrt(13)) + 1)**2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 27 + -4. Let h = 43 + x. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*i + 149 - 165 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 736134.\nAnswer: 2, 3, 7, 17, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 8 + 8. Let i(m) = -m**3 + 5*m**2 - 2*m - 8. Let t be i(b). Suppose 4 = -4*g, t*g - 2*g = -q + 19. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11751031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10 + 9. Which is the second smallest value?  (a) 2\/11  (b) -4  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 - 7. Let i(c) = 7*c - 2 - c**2 + 0 + 0. Is 3 a factor of i(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 17 + 2*s**3 - 12 + s**3 + s + 0*s**4 - 3*s**4 - 3*s as f*s + b + t*s**4 + m*s**3 + z*s**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 + -32 - -29) + (-2 - 8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + 3. Suppose g*n + 188 = 2*c + 2*c, -2*c + 96 = -n. Let p = -27 + c. Solve -4*h = 7 - p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -36.2 + 32. Let i = 4 + b. Let a = 3\/5 + 1\/15. Put 5, i, a in decreasing order.\nAnswer: 5, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 19, 4, 0 in decreasing order.\nAnswer: 19, 4, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 3*k**2 - 31*k + 51. Let j be i(22). Is (j\/1)\/(1\/(-14)*-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3424 divided by -856?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8279.429t to nanograms.\nAnswer: 8279429000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -7*3\/84*60\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 3*y = -9607 - 7013, 4*q = 3*y + 22159. Is 191 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 - -3) + 4\/(-6). What is the closest to 2\/3 in 4, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the second derivative of 2*f**3\/3 - 18*f**2 - f. Let x = -2417 + 2430. Let g be k(x). What is the greatest common factor of 176 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**3 + 2308820*o**2 - 2308815*o.\nAnswer: -5*o*(o - 461763)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 382 + -516.28. Let f = -0.72 + i. Let r = f + 135.0000265. Round r to 6 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 0*a = -15. Find the second derivative of -3*c**3 - 4*c**4 + 385*c - 369*c + 3*c**a wrt c.\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 87\/(-1914)*(-121)\/11\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 p when three letters picked without replacement from {q: 3, h: 2, p: 2, x: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 5*t**2 + 81*t - 252. Let f be w(3). Solve f = -7*c - 13 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -5  (b) 3\/76  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -27 (base 10) to base 8.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 2 + 4)*(-88*a + 2*a - 1735*a)*(-2*a**2 + 3*a**2 - 2*a**2) to the form y*a + p*a**2 + d*a**3 + n and give d.\nAnswer: -1821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -2*o**3 - 20*o**2 - 77*o - 525. Determine t(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -10. Suppose -4*j - k*j = -640. Let c = j - -3. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 111\/140 and -43\/176680.\nAnswer: 176680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 minus -1.39?\nAnswer: -1.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 + -6. Let y(f) be the second derivative of 19*f**4\/12 + f**3\/6 - f**2\/2 - 23933*f. Determine y(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 + y**2 + 1067. Let j be k(0). Let b be -213*(-2 + 1 - -3). Let d = b + j. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 7*y**3 - 7*y**2 + 9*y - 5. Let t(u) = -4*u**3 + 4*u**2 - 5*u + 3. Let p = -8 + 14. Let n = 1 - p. Let o be (-2 + 1)\/(1\/3). Determine n*t(q) + o*k(q).\nAnswer: -q**3 + q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 585416.\nAnswer: 5268744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.525 + 0.4. Let o = r - -0.07. Let j = 0.605 - o. Round j to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-2 - 2)*-1 + 3 and 1*-2 - (-60 - 0).\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2806205.\nAnswer: 5, 19, 109, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*j - 13*j = 9308. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 1. Let q(m) be the first derivative of m**2\/2 - 3*m - 17. Give -5*h(k) - 2*q(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 3:47 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.07?  (a) -0.5  (b) -3  (c) -5  (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the second derivative of -a**4\/12 + 5*a**2 - 3*a. Let i be t(0). Let h be (-37 - -36) + 114 + -3. Calculate the highest common divisor of i and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/6981?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*o + 9*o - 8*o)*(3*o**2 + 300*o - 298*o + 13*o**2) as q + d*o**3 + c*o**2 + i*o and give d.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 256541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 3. Let w(i) = -2*i + 5*i**2 - z*i + 3*i - 1 - 4*i**2. What is the units digit of w(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 1 + -3 + 6 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the third derivative of 5*f**2 + 0*f + 0 - 1\/60*f**5 + 1\/6*f**3 + 1\/12*f**4. Calculate the remainder when 1 is divided by b(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (-2*sqrt(85))\/sqrt(5))**2.\nAnswer: 16*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the third derivative of 0*z**4 + 0*z**3 - 1\/84*z**8 + 0*z**6 + 0*z + 0*z**7 - 4*z**2 + 0 + 1\/60*z**5. Find the third derivative of k(d) wrt d.\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 547\/5 + -110. Let n = 1426\/3 - 477. Let w = -3.7 - -3.6. Put y, n, 5\/6, w in ascending order.\nAnswer: n, y, w, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1131 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 - 19. Let v be (u\/2)\/((-3)\/(-1620)). Round v to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -3*b. Suppose -6*u = -2 + 20. Let t = u - -9. Let f(g) = 5*g**2 + t*g**2 - 14*g**2. Give f(m(k)).\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 33201*b + 66390. What is v(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/21*(-21)\/70. Let o = d - 1\/7. Sort -2, 3, o in descending order.\nAnswer: 3, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 203433?\nAnswer: 3, 19, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -2*l**2\/15 - 135880*l\/3 = 0?\nAnswer: -339700, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-38)*y*y**(6\/13) assuming y is positive.\nAnswer: y**(-475\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 851676?\nAnswer: 2, 3, 7, 10139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + 2 + -2 + (-8 - (-38 - -20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -4)*(-1)\/(15\/30)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6918330 by 3459165.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 5*o**3 + 1941*o**2 - 1670*o - 44344. Calculate y(-389).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1333048 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ynfn. Give prob of picking 1 f, 1 n, and 1 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.41 and 5.\nAnswer: -7.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 46371593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/5  (b) 1  (c) -2\/37  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 317187.7 decades in years?\nAnswer: 3171877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 - 6*w + 10. Let b be n(4). Let k(j) be the third derivative of 0*j + 0 + 6*j**b + 1\/24*j**4 - 1\/60*j**5 + 1\/2*j**3. Calculate k(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = x - u, -13*x + 14*x + 2*u + 3 = 11 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16826 = 44*q + 377*q + 1670 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42912, -87657, -132400, -177141, -221880, -266617?\nAnswer: -311352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158 is divided by -2*(-19 + (20\/4)\/(-5))?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40613?\nAnswer: 17, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 84 and 4557.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -84*l - 82*l + 190*l - 79*l.\nAnswer: -55*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 0*c + 3*c - 14 = 0, 5*g - 2*c = -3. Suppose -2*z - g + 3 = 0. Solve 4*q = -3*d - 5, -d + 0 + z = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 - 15215*s - 3638199. Calculate d(-243).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than -5\/429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -15*(28\/20 + -3). Let w = -14 + t. Suppose 4*j = 5*x + 21 - w, 52 = 3*j + 5*x. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 i when three letters picked without replacement from {r: 5, i: 7, g: 8}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 10*c - 19. Let w be a(-8). Let x = -11 - w. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + 4. Let l = 6 - 5. Let k(o) = 15*o**2 + o - 1. Let c be k(l). What is the highest common divisor of c and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (-7 - ((11 + 0 - 1) + -11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**2 - 4*y**2 - 2*y**2)*(64 + 38*y - 32 - 30).\nAnswer: -152*y**3 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (225\/(-220) - -2) + 93\/341?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6.2 in -2\/13, -4, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.1 + 1.9. Let f = -1.2 - b. Let y be ((-6)\/28)\/((-6)\/8). What is the closest to 2\/5 in f, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = 5*r - 5*j + 7, 15 = 5*r - 3*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 5*q**2 - 29*q. Let x be r(6). Solve x*l + 11 + 7 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 230 = 23*c. Suppose 5*k = -10, -v - 5 = -k + 3. Let y = c - v. What is the nearest to 0 in -0.2, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 135 and 4.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -234 (base 7) to base 10\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -5 and -835?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 422073.1 years to millennia.\nAnswer: 422.0731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1491 a factor of 7132944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 175*o - 6. Let d(y) = -48*y - 2. What is d(x(r))?\nAnswer: -8400*r + 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179*h = -191*h + 36 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 6*s**3)*(4 - 5 + 0)*(1 + s - 1)*(-s + 0 + 0).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 568*t - 46006. Let z be u(81). Let r be ((-2)\/(-6))\/(4\/12). Let q be (r - 2) + -1 + 3. Solve z*p - q = 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (20\/(-4))\/(6\/(-78)). Let v = a - 97. Let l = v - -74. What is the highest common divisor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2440820.\nAnswer: 2, 5, 122041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2 - 3)\/((-2)\/44). Let x = -10 + r. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77\/(-7)*(18\/(-24) + (-22)\/(-8))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-110*d + 185*d - 168*d)*(0*d + 2*d + d)*(-6 + 5*d + 6).\nAnswer: -1395*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cocc. Give prob of picking 1 c and 1 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.491 - 0.131. What is k rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-6\/11))**39 assuming h is positive.\nAnswer: h**(-234\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = 5*o + 2*z, 46 = 4*o + 5*z - 6. Calculate the highest common divisor of 12088 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-676)\/13*(21\/(-12))\/7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1080)\/48*(-2 - 0). Let m be ((-212)\/(-25))\/(18\/w)*5. Suppose 2*o + s = 135, 0 = 5*o - 4*s - 225 - m. What is the remainder when o is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*b = -918529 - 40694. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 509 + 0 + (-6 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -65999*z + 2177977. Determine u(33).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19491609 or 19491639?\nAnswer: 19491609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of -232*m**5 + m**4\/12 - m**3\/6 + 83*m**2\/2 - 2586*m. What is the third derivative of g(j) wrt j?\nAnswer: -27840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -44 - -86. Suppose -15*p - h = -18*p. What is the greatest common divisor of 294 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -3*c**2 + 15*c + 15. Let y(r) = r**2 - 4*r - 4. Suppose -23 = 3*d + 22. Let w(a) = d*y(a) - 4*q(a). Let u(k) = -4*k. Determine u(w(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6123\/11 + 557. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 0*s - 2*s - 5 = 0, -s = -4*p - 3. Let t(l) = -l**2. What is t(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -190071 divided by -2\nAnswer: 190071\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -86491481 by 86491481.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 - 133945931?\nAnswer: -133945926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**3 + 199862*a**2 + 30413680*a + 1156158816.\nAnswer: -2*(a - 100083)*(a + 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 5*j = 12, 4*b - 10 = j - 0. Suppose 2*t - 15 = 5*t. Is t smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 4 = -v - 0*v, -2*h = 3*v - 25. Let j = 13 - v. Calculate the lowest common multiple of 2 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/72*109384\/10527 + (-4)\/(-3)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-111)\/(-36) + 3\/(-36). What is the third derivative of -14*v**w + 67 - 3*v**2 + 4*v**2 - 57*v**3 - 22*v**3 wrt v?\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 15, -6*g - 4*y = -5*g - 12566. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*d**4 - 12*d**3 + 7219*d**2 - 897841*d?\nAnswer: -24*d**2 - 72*d + 14438","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes before 5:46 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 9:30 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 31 - -333213042?\nAnswer: 333213113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 4)*(r**2 + 1 - 1) - 2 + 7*r**2 - 6*r**2 + 0*r - r.\nAnswer: -r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12*(6*(-25)\/(-40) - 2). Let u(j) = x*j - 2*j - 7*j - 15*j. Let s(h) = 8*h**2. Give s(u(b)).\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 5*y**2 + 3*y + 1. Let d be 13\/4 + (-2)\/8. Let u be w(d). Calculate the greatest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 - -5. Let z(d) = -2*d - 10. Let x be z(s). Suppose -19 = -5*p + m, -p - x*m - 12 = 1. Calculate the highest common divisor of p and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 4*a + 2910, 0*d - 2*d - 4*a = -2934. Let l = -938 + d. What is the remainder when l is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -189, -334, -387, -342, -193?\n\"Answer: o**3 + 40*o**2 - 272*o + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*r - 1015 = 34*r - 1344 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12 + 24. Let u(c) = -2*c - 52. What is the remainder when u(-33) is divided by ((-15)\/d)\/((-2)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*q**5 + 2*q**3 - 23*q**2?\nAnswer: 540*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 PM and 12:30 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 - 17. Let x(i) = -i**2 + 6*i - 5. Let b be x(z). Let t = -6 - -6. What is the nearest to -1 in b, 1\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1255  (b) -1\/3  (c) 0.4  (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - n - 17*n - 1 as r + w*n and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -199 + 182 + (8 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 - 2*w**2 - 4*w + 2. Let j be r(3). Let g = 29\/36 - 1\/180. Which is the closest to 0.1?  (a) g  (b) 1\/2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y + 4*j - 45884, 68*y - 70*y + 2*j + 22966 = 0. List the prime factors of y.\nAnswer: 23, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 7\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-9)\/p)\/(p**(3\/10)\/p))\/(p**9*p*p\/p**(-1)*p) assuming p is positive.\nAnswer: p**(-223\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 + 12*x**2 + 15*x - 8. Let w be v(-10). Suppose 21*m - 15*m = w. Suppose -176 = -m*s + 258. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 269744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -8 times 47.957\nAnswer: -383.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3219\/5291 + 60\/(-390). Find o, given that -17\/11*o**2 - 6\/11*o - 8\/11*o**3 + u*o**4 + 2\/11*o**5 + 0 = 0.\nAnswer: -3, -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1034\/23 at most as big as -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 15346 (base 8) in base 12?\nAnswer: 3b9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 - 5*x - 1. Let h be c(-4). Suppose -71 = -h*p + 40. Let z = p + -27. What is the greatest common factor of z and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 3*v = 27, -u - 5*v - 17 = -0*u. Suppose 0 = f - 2 - 1. Solve -2*d - 4*b = 14, -f*d - 12 = u*b - 6*b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -317708241*h**4 + 54271848*h**2.\nAnswer: -7624997784*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*w**3 - 2*w + 2*w + (w - 5*w + 2*w)*(-7 + 7 + 4*w**2).\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2735070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.601613 kilograms to tonnes.\nAnswer: 0.000601613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19)*-1*4 - (sqrt(19)*-1 + 2).\nAnswer: -3*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*a**3 + 635 - 2*a - 3*a**3 - 4*a**4 + 2*a**2 - 600 as b*a**2 + j + p*a + f*a**3 + w*a**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1434, -2882, -4330, -5778?\n\"Answer: -1448*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**3 + 13*q**2 - 7*q + 4. Let n be b(12). Suppose -3*p + n + 281 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1 + 6.9. Let r = z + -2. Let d = 534 + -535. What is the closest to d in -2\/7, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(136) - 1*sqrt(136)*5 - sqrt(136)) + sqrt(136) + (sqrt(136) - 2*sqrt(136)*-1))\/(3*(sqrt(288) - ((sqrt(288)*2 - sqrt(288)) + sqrt(288)))))**2.\nAnswer: 17\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -20.81418 and -1.2?\nAnswer: 24.977016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 0*x - g = -494, -4*x = 3*g + 1008. Let r = -156 - x. What are the prime factors of r?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1043.7309 nanoseconds?\nAnswer: 0.000000017395515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, 1\/25, -1, -0.4.\nAnswer: -21, -1, -0.4, 1\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 75533431\/890 + -84869. What is the common denominator of q and -5\/12?\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156)*-2*-5 + sqrt(156) + ((sqrt(156) - ((sqrt(156) - sqrt(156)*-2*-3) + sqrt(156) - sqrt(156))) + sqrt(156) - sqrt(156)))\/(-2*sqrt(108)*6))**2.\nAnswer: 3757\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 494 and 165.\nAnswer: 81510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {d: 5, c: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*j**4 - 4*j**4 + 7*j**4 + (-51*j**2 - 17*j**2 - 106*j**2)*(-4 - 2*j**2 + 4) in the form u*j**4 + n*j**3 + d + f*j**2 + s*j and give u.\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 (base 3) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 64, 628, 2150, 5110, 9988, 17264, 27418?\n\"Answer: 80*x**3 - x**2 + 7*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 70.59386l to millilitres.\nAnswer: 70593.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15, -38, -77, -132?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, b: 1, r: 1}. Give prob of picking 1 r and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 - 2. Suppose 0 = 10*f - 15*f + 10. What is j(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**2 + 49. What are the prime factors of m(15)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 4948298*c**2. Let o(r) = -r**2. What is g(o(u))?\nAnswer: 4948298*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1625594 from -0.3.\nAnswer: -1625594.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the third derivative of j**4\/12 - 11*j**2 - 40*j + 1. Suppose -1 = -q + 3. Let y(n) = n**2 + q - 3*n**2 - 5. Give y(f(r)).\nAnswer: -8*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112) + (sqrt(112) - (sqrt(112) - (-2 + (sqrt(112) + 0 + sqrt(112) - sqrt(112))))))**2.\nAnswer: -32*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 132356852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 22 + 6a?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 89*i**3 - 2*i**2 + 3*i + 4. Let g be n(-1). Which is the smallest value?  (a) -0.2  (b) -2  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/(-36)*48\/180?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f**3 + 47 + 8*f**3 + f**3 - 5*f**3 + 16.\nAnswer: 3*f**3 + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3\/47 - -2194\/235. Calculate the common denominator of b and 14\/(-2) + 3 + (-1122)\/(-240).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (3 - -3 - 1) + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -166, -339, -512, -685?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 3*k + 15. Suppose -4*c - 16 = 4*c. Let i be d(c). Suppose -i*t - 164 = -983. What is the highest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -141 + 147. Let f(z) = -z + 4. Let w(l) = -2*l + 7. Give g*w(d) - 11*f(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22*j + j + 0*j**2 - 5*j + 2*j**2 - 6 to the form m*j**2 + g + u*j and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2513, 4978, 7435, 9878, 12301?\nAnswer: 14698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 47923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of 0 + 1\/6*h**4 - 5*h**2 + 0*h + 0*h**3. Let x be z(2). Solve -f + 2*g + x = 2*f, 4*g = -16 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*r + 16 = -8. Factor 4\/7*x - 2\/7*x**r - 2\/7.\nAnswer: -2*(x - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -817 + 841. What is the smallest common multiple of 318 and q?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**2 + 3*a + 3. List the prime factors of f(9).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.06  (b) -2\/15  (c) -0.5  (d) 0  (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 20801666 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**5 + 1582*m**4 + 23326*m**3 + 35618*m**2 - 60528*m = 0. What is m?\nAnswer: -776, -13, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*v - 25*v + 5288 = -2*s, 4*v + 2*s - 21102 = 0. Is v a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of -2*t + 0 + 3\/10*t**5 + 0*t**2 + 4*t**3 + 0*t**4. What is the second derivative of v(c) wrt c?\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 13  (b) 2  (c) 14.4  (d) 1752\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -13 + 6 + 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (-24 + 36 + (0 - 21) - -12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 PM and 2:00 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + r - 31*r**3 - 3*r**3 - 12*r - 4*r - 9*r in the form v*r**2 + f + t*r + k*r**3 and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -14\/13  (b) 284  (c) 56  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*f**3 - 31*f**3 - 3*f**3.\nAnswer: -26*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 120 and 84.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.2  (b) 0  (c) 2\/21  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the first derivative of 1\/3*h**3 + 0*h**5 - 20\/3*h**6 + 0*h - 54 + 0*h**4 + 7*h**2. What is the third derivative of k(b) wrt b?\nAnswer: -2400*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*j + 8 = -16. Is 20\/(-90)*-723*21\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (((sqrt(144) - sqrt(9))\/sqrt(3) + 2 + sqrt(3)*2 + sqrt(3))*-1)**2*-1.\nAnswer: -114 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -122 + 106. Let l be x*-32*(1 + -12503 + 2). What is l rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.2639 - -0.2739. Suppose -3*q + 33 = -27. Let v be (-8)\/q + (-6)\/(-40). Which is the nearest to o?  (a) 0  (b) v  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 1945981?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 551025151.\nAnswer: 359, 1534889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 11*t**2. Let d(l) = 126*l + 2. Calculate d(p(c)).\nAnswer: 1386*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2849\/6 + -477. Let r = -44 + 50. Suppose y - r*y - 5 = 0. Which is smaller: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/(-4) + 3)*-2. Let o = -5 - -8. Suppose 5*l = s - o, 0*s - 4 = -2*l + 3*s. Sort 2, l, x in descending order.\nAnswer: 2, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 2*p**2. Let j = -37 - -39. Suppose g - 16 = 3*h, 3*h + 6 + 6 = 0. Let n(r) = -r**2 - 2*r**j + 4*r**2 - g*r**2. Determine v(n(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 35949*x**2 + 54604*x?\nAnswer: 71898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*f*i*n + 6*f*i*u**3 + 2*f*n*u - 3*f*u**3 - 4*f*u - 15*n*u**3 - 8*u**3 wrt n.\nAnswer: -4*f*i + 2*f*u - 15*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 368 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 729728\/75 - 9730. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4846978?\nAnswer: 2, 2423489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 7*z**2 - 6*z - 12. Let w(y) = -y**3 + 11*y**2 + 12*y - 6. Let n be w(12). Let t be m(n). Let h = -11 - t. Which is greater: h or -4\/15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fourty-two fifths of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -57*h - 111. Give q(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 - 23*f - 22. Let c be o(24). Let g be (c + 0)*18*(-472)\/24. Let d = g + 1781. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w - 9. Let j = 25 - 20. Calculate l(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 5*o**2 + 4*o - 3. Let f be r(2). Suppose -5*g + d - 10 - 13 = 0, -4*g = -3*d + f. Suppose 0 = j + 14 - 12. Which is smaller: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -12*h**2 + 158*h - 10. Let x be d(12). Solve x*k - 16 = 154*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round 22.074 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -106\/21 - -347\/42. Let h = -198 - -201. Do p and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*r - 9*r = 192. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2815733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7386 divided by 42?\nAnswer: 1231\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 17\/11, 0.06, 4, 1\/6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the first derivative of 5\/2*s**2 - 5*s - 3. What is the first derivative of o(z) wrt z?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 92 and 1192.\nAnswer: 27416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32*7\/35*(-20)\/(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 + 2*i**2 - 19*i + 11. Let l be (7 + 1 + -3)\/(-1). What is the units digit of y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2013.54 + -2046. Let a = j - -32. Round a to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - w = -10. Let l = w + 26. Let k = 72 - l. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 46 and 552?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4\/5  (b) -5\/4  (c) -2\/17  (d) 0.415  (e) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of -b**8\/35 - b**6\/9 + 49*b**3\/6 - 44*b. Let g(r) be the second derivative of t(r). Find the third derivative of g(o) wrt o.\nAnswer: -1152*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 80 = -0*j. Let o = 73 - j. 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: What comes next: -70, 788, 2212, 4196, 6734, 9820?\nAnswer: 13448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c**3 - 1068*c**2 - 95052*c - 2819876 = 0. Calculate c.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that k**2\/2 + 25353*k\/2 - 38034 = 0.\nAnswer: -25356, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 235.292 millennia?\nAnswer: 2823504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 + 0)*((-77797730)\/4 - -3). Let t = -52902435451\/1360 + p. Let z = t + -1\/272. What is the common denominator of -56\/11 and z?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2 - 8*j + 7. Let b be r(7). Suppose -3*t + 168 = 5*o, 3*t + b = 3*o + 168. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 0.5  (b) 0.055  (c) -3030  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1129 times 284091?\nAnswer: 320738739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1440 by 4.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 291*s**2 + 11 - 5 - 287*s**2 in the form p*s + k*s**2 + c and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of -x**5\/10 + 19*x**2. Let p(j) = -4*j**2. Determine p(o(i)).\nAnswer: -144*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*d**3 + 20*d**3 - 6 - 174*d**2 - 3*d + 100*d**2 + 73*d**2 + 3*d**3 in the form o + b*d**2 + k*d + y*d**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1883100 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/13 - 10\/13*t - 2\/13*t**3 - 8\/13*t**2.\nAnswer: -2*(t + 1)**2*(t + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1576 divided by -2.\nAnswer: -788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11251 - -14989. Is 89 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 - 2*z**2 + 2*z - 3. Let w be q(2). Let n(p) = p. Suppose -2*d + 8 = 4. Let f(m) = -2 + 2 - d + 1. What is w*n(r) - 2*f(r)?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 15?  (a) -2  (b) 2  (c) 4\/9  (d) -9\/4  (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 35.70867ng?\nAnswer: 0.00003570867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 214*o**3 + 211*o**3 + 231*o**3 - 2 + 2 - 640*o**3.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {z: 2, x: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 389 - 310 = 5*d, 5*d = -3*z + 297. Solve 97*t - z*t = 24 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-2) - (-2 + (-152)\/(-56)). What is the closest to -1\/4 in -2\/7, 4, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 40 and 170?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 55720\/(-117808)*8\/(-70).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10442142 (base 7) to base 8\nAnswer: -3340024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1810171751 + 1372.\nAnswer: 1810173123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 24\/85 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of -g**4\/3 + 2*g**3\/3 - 6041*g**2. Let o(l) = -l - 2. Let f(t) = 1. Let r(p) = -2*f(p) - o(p). Calculate d(r(j)).\nAnswer: -8*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.2607856 - 16.7392158. Let u = 18 + o. Round u to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -8*w**2 - 18445435*w + 319596740 wrt w?\nAnswer: -16*w - 18445435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 21\/8 of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (408\/(-21))\/(68\/(-1904)*16).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002212 to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4771\/331 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9.2 + -29.8. Let o = u - -42. Which is the nearest to 1?  (a) -0.1  (b) 1  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s + 33 = 3*s. Suppose -s*o + 0*y = -2*y - 483, 0 = 5*y - 15. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7152 divided by -1192\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7934527 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 + 6*a**2 - 3*a. Calculate the least common multiple of v(5) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.02, -25\/29, 4, 0, -1\/4 in increasing order.\nAnswer: -25\/29, -1\/4, -0.02, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(700))**2*-2*-3*3.\nAnswer: 113400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 161297?\nAnswer: 5\/161297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-11 - 0)\/((7\/63)\/1). Let s = f + 183. Is s a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1997 - -5?\nAnswer: 199c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 8:36 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*s - 170 = -2*t, -713*s - 23 = -t - 718*s for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21.4 - 21. What is the smallest value in 2\/33, r, 0.3?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9282, -566, 0.1.\nAnswer: -9282, -566, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -135*q**2 + 1. Let v(c) = -2*c**2. What is f(v(p))?\nAnswer: -540*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1198555*h**4 - h**3 + 20*h**2 + 189896964 wrt h?\nAnswer: -4794220*h**3 - 3*h**2 + 40*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-28)\/(-16) - (-7 - -9). Sort p, -0.3, 1.24 in ascending order.\nAnswer: -0.3, p, 1.24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8.9 + 10.9. What is the nearest to 1\/3 in o, -10, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 86.37 and 0.6.\nAnswer: 51.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/36*(-1414)\/(-303)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 205 = -5*a, 6*a = a + 3*p + 173. Suppose -a = -6*b - 7. Suppose -b*n + 2*n + 357 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 134585253, 269170506, 403755759, 538341012, 672926265, 807511518?\n\"Answer: 134585253*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18227?\nAnswer: 11, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 2*u**2 - 9*u + 31. Let z be j(8). Factor 32*c**2 + 153*c + 42 - 112*c**4 + z*c**3 + 157*c**2 + 121*c**4.\nAnswer: 3*(c + 1)**2*(c + 7)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x - 17 = 7. Let v(w) = w**3 + 5*w**2 + 2*w + 3. Give v(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from moomyom.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2, 14, 12, -5, -3 in decreasing order.\nAnswer: 14, 12, 4, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 11*w - 16*w - 8326 = 0, 4*w = g - 2076. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 9*q = 420. Let j = -33 - q. Solve j*s - 5*l - 2 = 8, -s - 5*l = 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -25*u + 130. Let j be p(5). What is the fourth biggest value in j, 2, 0.9, 3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-18)*10545\/(-11248)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 119*i - 708. What is g(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -5*f - 9. Let a(y) = 2*y + 1. Let o(j) = -6*a(j) - 2*m(j). Let g be o(3). Solve 2*b - g*n = -3*n, 2*n + 8 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 638 - 4487?\nAnswer: -3d4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t = -2*t + 8. Which is the closest to -2?  (a) -0.4  (b) t  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s**4\/3 - 10*s**3 - 446*s**2\/3 + 1498*s - 2940 = 0. Calculate s.\nAnswer: -14, 3, 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 20*h**2 + 3*h - 3. Let y(v) = -v**2 + v + 1. Let o be y(0). Calculate the remainder when w(o) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 73 - -25dd?\nAnswer: 2650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*-2*5\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3564)\/(-6171))\/(-54)*-11.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nqgg. Give prob of picking 1 n and 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3\/3 + 14*m**2\/3 + 16*m.\nAnswer: m*(m + 6)*(m + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 3*x + 6, -r + 3*x = 6*x + 6. Suppose 4*i - 22 + 214 = r. Which is smaller: i or -47?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -2\/19*n**2 + 6\/19 - 4\/19*n = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/7 or 943.54231?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 793 > 794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55490 is divided by 13870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 149919, 149928, 149941, 149958, 149979, 150004?\n\"Answer: 2*g**2 + 3*g + 149914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 86 and 19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 5592611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 201111 + 10122?\nAnswer: 212010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 78 divided by 15?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 170 = -3*c - 4*l, l = -3*l - 20. Let f be 3 + (-8)\/(56\/(-345)) + (-28)\/98. Let t = c + f. Solve t*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -218, -442, -664, -884, -1102?\n\"Answer: h**2 - 227*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a + 2*a + a)*(5 + 4 - 5) - 3*a - 4*a + 5*a - 5*a + a + 3*a + (-3 + 0 + 2)*(3*a + 4*a - 5*a) + 0*a + 6*a - 4*a + a - 5*a + 3*a - 2*a + 3*a + a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 8:54 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 141\/(-21) - 1 - (-72)\/(-252). Let r be 40\/30*(-6)\/m + 224. Calculate the highest common factor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (7\/5)\/((-2)\/(-10)). Differentiate -h*i**3 + 1 + 0*i**3 + 4 with respect to i.\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 4 - u + 2*u - 3 - 6*u. Let k be q(-3). Solve -h - k = -5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.6 and -2.714.\nAnswer: -3.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.4, -13, -3\/19, 382 in descending order.\nAnswer: 382, 2, -3\/19, -0.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + 3*w + w)*(-3*w**2 + 2*w**2 + 4*w**2) + 3*w**3 - 5*w**3 - 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1152\/240)\/((-1)\/10 + 0). Let j = p - -94. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwwww. Give prob of picking 3 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 50*c*f**3*w + 2*c*f**2*w - 742*c*f**2 + c*f*w - 4*c*f - 2*f**3*w + 5770*f**3 - w - 1 wrt f.\nAnswer: 300*c*w - 12*w + 34620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/8 and -103\/2108?\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1 and 9199.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 133 and 3874717.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2446127300 rounded to the nearest 1000000?\nAnswer: 2446000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2463056146 - 0?\nAnswer: -2463056146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 144 - 139. Solve -d + 2*f + m = 4*d, 3*f = -5*d + 30 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + 1. Suppose q = -s - 5*d + 8, -2*s = -3*d + 8*d - 26. Suppose r - 3*r = -s. What is the greatest common factor of 72 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 312 and 45375.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(6*(sqrt(2592) + sqrt(2592) + -3 - ((sqrt(18) - (-2*sqrt(18) + sqrt(18))) + 2))*5 + 3).\nAnswer: -7920*sqrt(2) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -43893*j**4*w + 24*j**3*w**2 + 4*j*w**2 + 51*j*w - 2*w**2 + 1048 wrt j.\nAnswer: -526716*j**2*w + 144*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from agggggggggggggggggg. Give prob of picking 3 g.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 57*j**3 - 4*j - 14*j**3 - 42*j**3. Let a(x) = 2*x**3 - 7*x. Calculate 3*a(z) - 5*g(z).\nAnswer: z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5634169216 - 5634169216 - 3*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 233*y**2 + 273*y**2 + 383*y**2.\nAnswer: 889*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/9)\/((-726)\/594).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*-1 + -21*15\/(-105)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3952\/315 - 47\/63. Find the common denominator of t and 71\/399.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 139 + 58. Let u = l + -196.9388. What is u rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 4\/5  (c) 5  (d) -2\/7  (e) -3167514\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q - 1. Let h(n) = -n**3 + 4*n**2 + 6*n + 3. Let w be h(5). Let t(o) = -o + 0 + w - 7*o. Suppose 9 - 5 = 2*d. Give d*t(p) + 14*x(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*d*g*j**2*y - 2*d*g*j**2 - d*g*y**2 - 12*d*j**2*y**3 - 597*d*j - 28*g*y**3 + 2*g*y**2 + 2*j**2*y**3 wrt y?\nAnswer: -72*d*j**2 - 168*g + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 4*c - 0*c - 162, -a = -1. Let w be (-4)\/16 - (-5)\/4. Let h = w - -7. Calculate the highest common divisor of c and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39316*j - 28 = 39323*j. Let u(o) = 5*o**3 - 4*o**2 - 6*o + 5. Let p(r) = -4*r**3 + 3*r**2 + 5*r - 4. What is j*p(n) - 3*u(n)?\nAnswer: n**3 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + 5046c?\nAnswer: 50474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22590122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 408053979 by 41583.\nAnswer: 9813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-565)\/904*120\/(-575).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2626 (base 7) to base 16\nAnswer: -3e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 38324 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -79208.\nAnswer: 31683.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 0*l = 2*l + 14, 5*l + 30 = 5*n. Solve 2*d - 2 = 3*q - q, -13 = -d - n*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/24*(-1439)\/(-10073)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.00111329 rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**2 - 157*c - 481. Let x be u(-5). Suppose 470 = 9*d - 4*d. Calculate the greatest common divisor of d and x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 3*w**2 + 26*w + 18. Let q(u) = -u. Let j(x) = -n(x) - 5*q(x). Find r, given that j(r) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 - 1. Determine t(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15 + -12. Let z(h) = 2*h**2 - 8*h + 9. Let w(q) = 4*q**2 - 17*q + 17. Let u(v) = o*w(v) - 5*z(v). What is the tens digit of u(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n + 2. Calculate the remainder when (-1 - 3)*34\/(-8) is divided by p(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**2 - 5*k - 14. Let o be n(7). Let h be -4*(-1 + o) - 0. Put 5, h, -15 in increasing order.\nAnswer: -15, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 46889, 93780, 140671?\nAnswer: 187562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*s - 30*s = -8. Suppose s*p - 6*p = a - 6, 0 = a + 3*p - 6. Calculate the highest common divisor of a and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 2*j. Let k(o) = -2*o**3 + o + 1. Let h be k(-1). Let t(q) = -q + h*q + 0*q - 8*q. Determine t(c(g)).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -8, 2448, -2, 0, -19 in increasing order.\nAnswer: -19, -8, -2, 0, 5, 2448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of s**6\/2 + 3*s**5 + 15*s**4\/2 + 10*s**3 + 15*s**2\/2 + 3*s + 1. Factor r(z).\nAnswer: 3*(z + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 41?  (a) -2  (b) 3\/4  (c) 3\/2  (d) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8561301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20132111 + -111003?\nAnswer: -20303120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.198841 times -19\nAnswer: 3.777979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 2*r = 2*a - 47, 64 = 4*a + 4*r. Let o(d) = d - 9. Does 2 divide o(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7870423.\nAnswer: 11, 59, 67, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (1 - 5) - -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 40 = 4*m. Let y = m + -3. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*z - 20 + 98 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -36*c. Let v(t) = 26 - 8 - 10 - 8 - 18*t**2. Give v(i(h)).\nAnswer: -23328*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104591044 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 48c (base 16) in base 5?\nAnswer: 14124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 45842 - 46991. What is the biggest value in -3, 5\/2, -4, s?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -42 - -53?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 4  (b) 1\/5  (c) 1\/2  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 6161, 6122, 6087, 6056?\n\"Answer: 2*c**2 - 45*c + 6204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-16)\/(-20)*(-1)\/(-2). Let p be (-7)\/(-63) + (-51)\/(-27). Which is the closest to 5.3?  (a) -4  (b) j  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*a + 4*a**2 - 5*a**2 + 0*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 23720084 by 33268.\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 300.11 plus 10869700?\nAnswer: 10870000.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 800369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -5*s - 5. Let t be h(4). Let b = -14 - t. Calculate the remainder when b is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/4)\/(-4*(-6)\/(-48))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53 - 1 - (-934 + 898).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 665 divide 174895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, -1, 3, -4 in descending order.\nAnswer: 5, 4, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -4357.\nAnswer: 5\/4357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22 and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r**4 + 351*r**3 + 6831*r**2 - 202407*r + 888822 = 0.\nAnswer: -67, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-8))**20\/((y\/(y\/(y\/(y*y**(14\/5)))))\/((y*(y*y\/(y*y\/(y*y**(-7\/3))*y)*y)\/y)\/y)))**(2\/27) assuming y is positive.\nAnswer: y**(-4786\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 55 + -6f3?\nAnswer: -69e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 220.0952 rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 2:48 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -2*a**3 + 11*a**2 - 6*a. What is n(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 245881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -700*i**2 + 135*i + 26. Let p(u) = 698*u**2 - 135*u - 22. Let x(l) = 6*p(l) + 5*y(l). Find the second derivative of x(b) wrt b.\nAnswer: 1376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 2\/27651?\nAnswer: 2\/27651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3453149 is divided by 150?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*l - 5*l - 4*l**2 + 4*l - 4 + 4 - l**2 - 2*l**2 + 0 + 0 + (2 - 1 - 2)*(-l + 2*l**2 + l) - 8*l**2 - l**2 + 3*l**2.\nAnswer: -15*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3*-0.32\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63 is divided by 58?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3306737 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 428 = 2*s, -4*s - 3*q + 856 = -8*q. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 382 + -380. Let t = -10 - -14. Solve t + 4 = p*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:24 PM and 12:39 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 78 - -5625653?\nAnswer: 5625742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 3 = -2*r, -3*u + 6 + 1 = -2*r. Factor 3*y**2 + u*y**2 - 11*y**2 - 2*y - 19*y.\nAnswer: -3*y*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 - 2*a**2 - 6*a - 4. Let z be v(5). Let c = z + 382. Let d = c + -99. List the prime factors of d.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -56076 by -4.\nAnswer: 14019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 - -76711566653360\nAnswer: 76711566653359.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77294*a**2 - 541015*a - 301 = 0. Calculate a.\nAnswer: -43\/77294, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -3*t - 8. Suppose 4*f = m + 76 + 142, 0 = 4*f + t*m - 226. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 66\/(-231) + 1\/7*16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r = 2*r + u + 364, -2*r + 2*u + 152 = 0. Calculate the least common multiple of r\/10 - (0 + -2)\/(-10) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/18 + (-1160)\/(-240). Solve -h*j = 3*m + 14 + 2, 0 = -j + m - 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4732610541?\nAnswer: 3, 37, 1439, 29629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 542 = u, 2*b - 5*u = 68 + 299. List the prime factors of b.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, m: 1, s: 1, a: 1, p: 1, h: 1}. Give prob of sequence hlm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4251 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*(t**(2\/19)*t)\/t*t*t\/(t\/(t*t\/(t*t**5*t)*t))*(t*((t\/t**(2\/7))\/t)\/t*t)**(9\/4))\/(t**4*t\/t**(3\/7)*(t**1)**(-1\/33)) assuming t is positive.\nAnswer: t**(-84773\/17556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 5 - 5 - 15267*j.\nAnswer: -15267*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 81\/232 and -3\/26738.\nAnswer: 106952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18 + 52. Suppose -4*b = -i - 54. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**30*u)\/((u*u**16)\/u))\/(u\/u**4*u\/u**(-4\/13)) assuming u is positive.\nAnswer: u**(217\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 234*f - 348 - 8859 = 6471. Solve 66*k = f*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = p - 1954 + 1973, 4*o + 20 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -15.14 take away 0.15080553?\nAnswer: -15.29080553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -174 + 181. What is the third derivative of -7 + 5*i**2 + 2*i**4 + 7*i**3 + k + 119*i**2 + 13*i**3 wrt i?\nAnswer: 48*i + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 87*v - 14*v + 22*v - 155*v. Let p(b) = -22*b. Give g(p(i)).\nAnswer: 1320*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -480 - -478.1978. Let o = -1.8 - p. Round o to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20 + 22. Let r = -10 + 15. Let p(v) = -r*v**2 + 2*v**2 + 2*v**2 + o. Calculate p(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 10363.39km?\nAnswer: 10363390000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 63 and 16785.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8357 is divided by 831?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.757448 times -224?\nAnswer: -169.668352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/6 and -37\/1501.\nAnswer: 9006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 AM and 4:46 PM?\nAnswer: 389","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = -v - 5, 3*c - 5*v - 7 + 17 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 12*j**2 - 73*j**3 - j - 7 + 62*j**3 - j**2. Let d(s) = -9*s**3 + 11*s**2 - s - 8. Let r(u) = 6*d(u) - 5*v(u). What is r(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 59370*n**2*w + n**2 + 5*n*w + 2*n + 28904*w - 2 wrt n?\nAnswer: 118740*n*w + 2*n + 5*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/7, -5, 1.4 in decreasing order.\nAnswer: 1.4, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/13  (b) 69  (c) 0.03  (d) 0  (e) 1  (f) -3\/2  (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -4*l + 44, -l - 2*l + 28 = -4*q. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -39\/2, -0.4, -2\/7 in increasing order.\nAnswer: -39\/2, -0.4, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(-3)*-3 - -2. Suppose 5 = -5*u - 0*u. What is the units digit of u*(78\/i)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*h + 24 = -6*h + 4*m, -4*h - m + 9 = 0. What is the closest to 1 in h, -2\/7, -10.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*y + 2*y + 0*y)*(2 + 2 + 1)*(2 + 1 - 1) to the form l + a*y and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 41*x**3 - x**5 - x - 82*x**3 + 35*x**3 - 3*x**5 - x**5 + 6*x**5 - 3*x**5 + 2*x**5 + 2*x**5 + (-x**5 - 2*x**5 + 2*x**5)*(0 + 2 - 3).\nAnswer: 3*x**5 - 6*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + 0. Suppose 18 = l + 2*l. Let u be 22\/l + 0 + -2. Sort 0.3, a, u in increasing order.\nAnswer: a, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 115 divide 1035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.64113 rounded to one decimal place?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 + 5*l**2 - 5*l + 7. Let n be u(-5). Suppose -w = -3*w + 3*z + n, 3*w - 50 = 5*z. What is the remainder when 39 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8)\/15 + (-1)\/(-3). Suppose 27 = -2*f + 21. Which is the second smallest value?  (a) -4\/9  (b) f  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-1\/3)*(t*t*t**(4\/5))\/t)\/(t**(2\/9)\/t**(-2\/5))*(t\/t**(-1))**(22\/9)\/(t**(3\/4)*t*t\/(t\/((t\/(t**(1\/2)*t))\/t*t*t)*t)) assuming t is positive.\nAnswer: t**(123\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 157604 to the power of 1\/2, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of -j**6\/10 - 29*j**5\/10 + 11*j**4\/6 + j**3\/6 - 89*j. What is the third derivative of y(n) wrt n?\nAnswer: -72*n - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 382429798 is divided by 1800.\nAnswer: 1798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 592992.1 milligrams in tonnes?\nAnswer: 0.0005929921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -2*u**3 - 147*u**2 - 1548*u - 1009. Determine g(-61).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 116 - 8*a**2 + 7*a**2)*(36*a**2 - 60*a**2 + 45*a**2).\nAnswer: -21*a**4 - 2541*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 12:37 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2761 is divided by 362.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/3))**(-2\/9)*d*((d\/((d\/d**(2\/9))\/d))\/d)\/d*d*d**(5\/7)*d assuming d is positive.\nAnswer: d**(569\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -78241*n*v**3 + 97*n*v + 865*v**3 + 3177*v**2 + v + 8 wrt v.\nAnswer: -469446*n + 5190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**8*q*q)**34*(q**(-1\/14)*q)\/(q**(-1\/13)*q*q) assuming q is positive.\nAnswer: q**(67887\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -229, -238, -253, -274, -301, -334?\n\"Answer: -3*g**2 - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24171 is divided by 186?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 - 33 - 10)*(0*f**5 + 2*f**5 - f**5) + 3*f**5 + 4*f**5 - 5*f**5.\nAnswer: -49*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0237 + -0.1161. What is q rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -172 + 177. Find the third derivative of 22*d**5 - 12*d**2 - 13*d**5 + d**5 + 30*d**b wrt d.\nAnswer: 2400*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-54 + 53)*(-1 + -4 - -1*3). Solve -2*c + k*h = 6, 4*c + h + 13 = 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24 and 18016287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 2*k**4\/5 - 12*k**3\/5 - 16*k**2\/5 + 12*k\/5 + 14\/5 = 0?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -57 + -1477?\nAnswer: -1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -16*l + 94. Let m(v) = -7*v + 49. Give -13*m(b) + 6*q(b).\nAnswer: -5*b - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5424742 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/sqrt(11) + -1 + (sqrt(3) + sqrt(300) + 4)**2.\nAnswer: 89*sqrt(3) + 378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 125847783 to the nearest one million.\nAnswer: 126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 20911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 616 and 36692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(196) - sqrt(49))\/sqrt(7) - sqrt(28)*-2*2) + -2)**2.\nAnswer: -36*sqrt(7) + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + s + 6. Let k(i) = 6 - 2*i**s - 9 + 3*i**2 + i. Calculate the remainder when k(-5) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 PM and 6:12 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 3*p + 5*b - 1515 = 0, 4*p - 3*b = 1191. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-3 + (sqrt(7) - (1 + sqrt(7))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*f**4 + 464*f**3 + 18616*f**2 + 299280*f + 1664100.\nAnswer: 4*(f + 15)**2*(f + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, p: 7, b: 2, u: 1, y: 2, m: 1}. Give prob of sequence pp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 - 2*b + 2. Let f be v(-2). Suppose f*k - 15 = 5*p, p + 19 = 5*k - 7. Suppose -2*u = k*q - 27, -u + q + 27 = -q. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 150 - 14?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -958 - -980. What is the remainder when 1446 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 AM and 4:15 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 18743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-45)*w*w)**32*(w\/w**(5\/8))**(-16\/3) assuming w is positive.\nAnswer: w**1534","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29 - -19. Let y be (-1120)\/(-50) + ((-16)\/g - 1). Let s = -192 + 284. What is the greatest common divisor of y and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -11*y + 3. Determine o(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18820 divided by -4705.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 - 7 + q + q to h*q + l and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, b: 3, w: 4, q: 2}. Give prob of picking 1 w and 1 j.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2541408766 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 106177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 22982, 22981, 22980?\n\"Answer: -d + 22983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1101110111010 (base 2) to base 12\nAnswer: -4136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 5*x = -19, 4*x = r + 5 - 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 245*q**5 - 233181*q**3*y + 2548*q**2*y - 8725*q**2 wrt q.\nAnswer: 14700*q**2 - 1399086*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -39*t**2 - 19*t + 95. Let r(n) = 13*n**2 + 6*n - 32. Let z(o) = -17*r(o) - 6*y(o). What is the hundreds digit of z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = 823*f - 830*f. Solve -6*a + f + 20 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.9 and -122.46.\nAnswer: -232.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-64*p - 71 + 27 + 67*p)*(2 - 2 - p).\nAnswer: -3*p**2 + 44*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3584e (base 16) to base 12.\nAnswer: a6a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(54)\/(1*sqrt(3)))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17340 and 114726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 (base 5) in base 14?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -248684 + 247700 = 41*k for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -25 at most as big as 26345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -33*a + 497. Calculate the remainder when 5 is divided by y(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(175) + sqrt(175) + 0)*1*4 + 3 - (5 + ((sqrt(175) + sqrt(175) + 1 - sqrt(175)) + -4)*-5)) + -4)**2.\nAnswer: -2730*sqrt(7) + 30016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 34.2 - 42. Let b = h - -7.8000028. What is b rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 76 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0005497 rounded to 5 dps?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-15)*(-36)\/54?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*o**2 - 8*o**2 + 15*o**2 - 44 - 6*o**2 - o**2 - o**2.\nAnswer: 6*o**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-5 + ((-37030)\/(-276))\/115*(-3)\/(-7))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r + 1. Suppose -3*o = -5*o + 6. List the prime factors of g(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3206818300 to the nearest 1000000.\nAnswer: 3207000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the second derivative of 4*g**3\/3 - 15*g + 1. Let z(s) = 5*s**2. Give y(z(w)).\nAnswer: 40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (-186192)\/(-64) + 3\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f + 4*f + 3*f + 3 - 5*f. Suppose 0 = -3*s + 2*k + 27, 4*s - 14 = -k + 22. What is the remainder when s is divided by a(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 84922 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -21*v**2 - 13*v + 13. Calculate t(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 203460 is divided by 40675?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s + 4*s + 0*s)*(0*s + 3*s + 0*s) - 5*s**2 + 1469*s - 2 - 1469*s.\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (45 - 49) + 2 - ((-14 - -2) + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7\/99 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the second derivative of 382*n**7\/21 + 9*n**4 + n**3\/6 - 1415*n. Find the third derivative of f(g) wrt g.\nAnswer: 45840*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 985997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d - 30 = 10*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 275, 1037, 2287, 4025, 6251?\n\"Answer: 244*y**2 + 30*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*z = 153*z - 928 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhhjjhhhhjhjjjhhh. What is prob of sequence hh?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p - 13. Let y be s(-13). Let x(m) = m + 12. Let w be x(y). Let u = 20 - w. What is the least common multiple of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/241560 and 179\/3623400.\nAnswer: 3623400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes before 7:29 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 5 - (1 + 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101*t - 98*t - 339 = 0. Let o be (-7 + t)\/((-2)\/(-4)). Let h be o\/12 + (-1)\/(-3). What is the highest common factor of 36 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jlq when three letters picked without replacement from xljxqlcclwwxcxxww.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -42  (b) 0  (c) -35  (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 38 - 189\/5. Factor -1\/5*d**3 + 1\/5*d - 1\/5*d**4 + t*d**2 + 0.\nAnswer: -d*(d - 1)*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 998 + -613. Suppose 9*z = 4*z + o. Suppose -z = -3*a - 2*k, -4*k - k - 118 = -4*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 12011002121210220?\nAnswer: 12011002121210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -600 - -1472150495564\nAnswer: 1472150494964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**3 + 5*k**2 + 5*k + 5. Let l be z(-4). Suppose 1 = w + 3. What is the closest to w in 0.2, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -59 - -123. What is the remainder when m is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126782087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of -f**6\/720 + f**5\/40 - f**4\/4 + 7*f. Let q(w) be the third derivative of l(w). Suppose 9 - 21 = -2*o. Determine q(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y + 13 - 22 - 28)*(-103 - 14 - 10 - 3).\nAnswer: 260*y + 4810","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4394.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.092 times 2?\nAnswer: 0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 841.2+0.491630966\nAnswer: 841.691630966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-2\/9))\/(u\/(u\/(u*u**(-3)))))\/(u\/(u**3\/u)*u*u**(-7)) assuming u is positive.\nAnswer: u**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes before 4:27 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 82799?\nAnswer: 82799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -70 - -301?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -134, -148, -174, -218, -286, -384, -518, -694?\n\"Answer: -a**3 - 7*a - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*o - 2*o - 1 - 2*o)*(-o**2 - 4 + 4) - 5*o**3 + 4*o**3 + 6*o**2 - o**3.\nAnswer: -14*o**3 + 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -640*o**4 - 15200*o**3 + 91830*o**2 - 159665*o + 87725 = 0.\nAnswer: -29, 11\/8, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -3  (b) -2\/21  (c) -0.0067\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 - x**2 + 1. Suppose o = 1 + 1. Let h(f) = 2*f**3 + 2*f**3 + 2*f**3 + 4 - 5*f**o. Let i be (-2)\/(-4)*-1*-20. Give i*r(n) - 2*h(n).\nAnswer: -2*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011110100 + -1?\nAnswer: -1011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*k**3 + 2 - 4*k**3 + 1945*k**2 - 1943*k**2 to l + z*k**3 + a*k**2 + c*k and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 58, 149, 268, 415, 590, 793?\nAnswer: 1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 452 + 157 = 0. Let y = -8 - m. List the prime factors of y.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5164 * -0.3.\nAnswer: 1549.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 333479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, v: 1, i: 1, y: 2, m: 1, h: 1}. What is prob of sequence vi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*a - 6*a + 9*a)*(-196 - 2*a**2 + 469*a - 469*a) in the form g*a + j + b*a**3 + k*a**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 154479583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5\/30*3*6. Suppose 2*l + 0*l - 182 = y*r, -437 = -5*l + 3*r. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -4*z**3 - 2364*z**2 + 225520*z - 864000 = 0.\nAnswer: -675, 4, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21 (base 6) to base 4.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -178.784804 + 1.771704. Let m = -177 - g. What is m rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + (-788)\/(-60) + 1424\/120 + -12. Solve -x*w + 18*w + 4 = 4*d, 7 = -2*w + 3*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21305567 is divided by 91.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.6 - -0.1. Let r = 9615\/19 + -506. What is the biggest value in 0.2, 0, g, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 106.4 + -106.5. Let p = -21 - -23.2. Let o = -0.8 - p. Which is the closest to r?  (a) o  (b) 3  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 818048 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: Round -0.0006191 to five dps.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*c + 401 + 1979 = 0. Is -117 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 10048 - -5a6?\nAnswer: 10643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 5*k = 2*v + 20, k - 4 = 0. Suppose v = -m - 4*m + 5. Is 10 a factor of (-1)\/((-1 - m)\/26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-3))**50\/(u**(-6\/5)*u*u*u*u\/u**(-2\/11)*u) assuming u is positive.\nAnswer: u**(-8469\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 45*x + 3. Let t be k(1). Find the second derivative of 17*q + q - t*q**4 + 2*q + 0*q wrt q.\nAnswer: -576*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**20\/(v*v**(-3\/11)*v))\/(v**(4\/7)\/(v*(v**11\/v)\/v*v)) assuming v is positive.\nAnswer: v**(2210\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**2 + 8*a - 4. Let i be g(7). What is the derivative of 2*z + 1 - i*z + 1 wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -27\/5 and -1220819 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 136*f - 39. Let w be u(9). Suppose -1312*n + w = -1307*n. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -625 - -607. Let i(k) = -k**2 - k + 1. Let p(s) = -21*s**2 - 18*s + 18. Let d = -38 - -39. What is d*p(j) + x*i(j)?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 25 + -21. Suppose -w*c = 5*n - 16, 2*n - c - 11 = 2*c. Suppose -4*m**2 + 7*m**2 - 4*m**3 + n*m - 4 + m**4 + 0 = 0. Calculate m.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i - i = 240. Let k = 71 + i. Suppose -143 + k = -4*a. Solve a*g + 12 = 2*g, -35 = 5*s + 5*g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -2 and -39\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 315\/14 - (-3)\/2. Suppose -6 = -t + b. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -529346653 >= -529346653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -80*s**3 - 2*s**2 + 150*s**3 + 19*s - 71*s**3 to the form b*s**3 + f + c*s**2 + k*s and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -173173 - 2\nAnswer: -173175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) - (2 + sqrt(19))*-2) + (1 + sqrt(1539) - sqrt(19)) - (sqrt(209)\/(sqrt(11)*-3 + sqrt(11)) - sqrt(608)\/sqrt(2)))**2.\nAnswer: 155*sqrt(19) + 18359\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of g**4\/14 + 1184*g**3\/21 + 1181*g**2\/7 + 1180*g\/7 + 602. Factor s(y).\nAnswer: 2*(y + 1)**2*(y + 590)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 2*v**3 - 9*v**2 + 12*v - 8. Let h be i(6). Let l be h\/(-220) - 12\/(-20). Is l at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = -8*w + 408. Let o = -23 + 39. Let x = w - o. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*o**4 + 2343*o + 2326*o - 4668*o - 33*o**3 + 12*o**2 to t + l*o**4 + n*o**3 + q*o + m*o**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -n*o + 22006452*n + 13556716*o wrt n.\nAnswer: -o + 22006452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 47 - 46.9. What is the nearest to 2 in u, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2\/5 + 1\/2. Let b = -2\/5 - t. Which is greater: b or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/4 - -5)\/(-2 + 5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 17, 19, 33, 65, 121, 207, 329, 493?\n\"Answer: i**3 - 5*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 5, 0.18, -1, 6?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10999699*d**6*r**3 - 389465*d**2 + 3*d*r**3 - 6*r wrt d?\nAnswer: 1319963880*d**3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 - 2*-1) + 1. Let n = 14352 - 14224. Suppose -i*u - 4*r + 40 = -n, 2*u - 91 = 5*r. Calculate the remainder when u is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1210, -1209, -1208?\n\"Answer: y - 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 21981316 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 915\/22  (b) -2\/7  (c) -21\/5  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3715*h**3 - 2528 + 1265 + 1263.\nAnswer: -3715*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 4917*z**2 + 5*z - z + 4904*z**2 + (z + 0 + 0)*(4*z + 0*z - z) in the form g*z + m + r*z**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -15*i - 3*i + 108 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 27213.11 - 2996.\nAnswer: 24217.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 + 15. Let a be (13*-6)\/(-3) - 2. Suppose g - a = -3*z, 3*z = 3*h + 6. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5484 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**22*n)\/(n**(-21)\/n)*(n**(-3))**37 assuming n is positive.\nAnswer: n**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 180155.\nAnswer: 5, 137, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 25621877483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8 plus -3958940871393?\nAnswer: -3958940871392.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is e (base 16) in base 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 3*f + 3 = 2*m, -m + f = 1. Suppose m = -2*j - 2*j + 12. Suppose j*n = 12 + 36. Calculate the highest common factor of 40 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 370\/(-24) + 8 + 2\/3\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the second derivative of 19\/3*x**4 + 0*x**3 - 47*x - 53\/2*x**2 + 2. What is the derivative of r(t) wrt t?\nAnswer: 152*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50384490 divided by -84255?\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the second derivative of -r**9\/252 - r**5\/15 + 3*r**2\/2 - 4*r. Let z(w) be the first derivative of p(w). Find the third derivative of z(v) wrt v.\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes after 6:31 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.619986 - -12252?\nAnswer: 12253.619986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*n - 18*n = -17*n - 459 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = -5*p + 20, 3*p = 8*z - 9*z + 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1072782832*n**5 - 22*n + 1049972 wrt n?\nAnswer: -21455656640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*m**2 + 0 - 2 + 2*m**4 - 7*m**4 as i*m**3 + n + t*m**2 + a*m**4 + d*m and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 404703.\nAnswer: 3, 13, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 3*m**3 + 32*m**2 - 14*m - 17. Let g(w) = -w**3 - 11*w**2 + 5*w + 6. What is 4*f(a) + 11*g(a)?\nAnswer: a**3 + 7*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 AM and 3:51 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/22 + 760\/55. Let m be (-8)\/28 + (-66)\/p. Put 3, 0, m in descending order.\nAnswer: 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17015?\nAnswer: 5, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*p**4 - 4*p + 2*p**4 + 2*p + 2*p**4 - 3*p**4 + 3*p**4 + (-2 - 1 + 2)*(p**4 - 3*p**4 + 0*p**4) + 6*p - 16*p**4 - 6*p.\nAnswer: -14*p**4 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 219 a factor of 556419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -23, -58, -151, -332, -631, -1078, -1703, -2536?\n\"Answer: -5*p**3 + p**2 - 3*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-3*(-4)\/696). Let q = -25 - p. Calculate the remainder when (-6)\/(-15)*5 + q is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fhsnfws. Give prob of picking 1 s, 1 w, 1 h, and 1 f.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5028 + 5028 - 81*k.\nAnswer: -81*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(3584) - sqrt(56)*5*6)\/(-5*2*-2*sqrt(512)).\nAnswer: -23*sqrt(7)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*f, 2 = -4*o + 3*f + 6. Let t(d) = 1 + 2*d - 5 + o. Let n(i) = 11*i**2. Determine n(t(p)).\nAnswer: 44*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -4*z**2 + 12*z + 11. Let u(i) = 9*i**2 - 25*i - 24. Let o(y) = -13*k(y) - 6*u(y). Let g be o(-3). What is the greatest common divisor of g and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -17\/41373?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 48184021*n**2 + n - 15285791.\nAnswer: 96368042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6139840 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2.2 in 0.2, -35, 1.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 3, 2, -5, 37913?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*w**3 + 3*w**3 - 25*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 708.7713 nanometers?\nAnswer: 0.0007087713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1610 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4122 + 20?\nAnswer: 4142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -12*g - 16*g - 3 - 7 + 28*g + 35*g**3. Let a(w) = 12*w**3 - 3. Calculate 10*a(p) - 3*i(p).\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-435)\/3)\/(4\/((-11)\/((-110)\/(-8))))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2082*r - 80. Let h(m) = 1041*m - 48. Calculate -5*h(i) + 3*v(i).\nAnswer: 1041*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.1464 - -0.167136. Round o to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of -a**4\/12 - 19*a**3\/6 - 12*a**2. Let f be q(-9). Let x(y) = 69*y**2 + 3*y + 3. What are the prime factors of x(f)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -0 + 1. Let o = x - -3. Calculate the remainder when 3 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 227026 is divided by 75573.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -4217*m + 163. Is j(-42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 take away 39.97?\nAnswer: 90.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert a8 (base 13) to base 15.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-7)\/(-35) + 2\/(-110). Let v be 2 + 2 + -5 + (-42)\/(-38). Sort 0.5, n, -44, v in descending order.\nAnswer: 0.5, n, v, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 1:13 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from zzezeeyzyzeezzezee.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 131, 4, 0, -20, -3, -1, -125.\nAnswer: -125, -20, -3, -1, 0, 4, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (3939 - (-81)\/9) + 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(((-2)\/(-8))\/(4\/(-16))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18621 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of 303*f**4 - 1297*f**2\/2 + 693. What is the second derivative of i(v) wrt v?\nAnswer: 7272*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59846228?\nAnswer: 2, 13, 47, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j - 5*j - j)*(-1 + 2 + 2).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6\/5 - -7\/10. Let i = 11 + -12. Which is the smallest value?  (a) -0.3  (b) g  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -4. Suppose v - m = 6. Let p(j) = -3*j**3 - 6*j**2 - 6*j. Let o(h) = -h**3 - 2*h**2 - 2*h. Determine v*o(t) - 3*p(t).\nAnswer: t**3 + 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -9 - l + 35 - 12*l**2 + 3 - l + l**3. Let u be n(12). Suppose -z + 7 = -u. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 3*s**2 - 212*s + 605. What is d(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2468238 - -3?\nAnswer: -2468235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*2*sqrt(162))**2 + ((-2 + sqrt(162) + sqrt(162))*5)**2 + 2 + (4*6*-2*sqrt(162))**2 + 3.\nAnswer: -1800*sqrt(2) + 405753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -944*z + 4713. Determine b(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*134566730.\nAnswer: -53826692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 8*d**2 - 8*d - 9. Is 37 a factor of m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + (-39210)\/690 + 40?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 + -6. Suppose -4*l + 2*s = -2*s + 8, n*s = 8. Solve -l*a + 0*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*s + 17 + 17 - 36)*(s**2 + 2*s**2 - 5*s**2).\nAnswer: -40*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 21 = -4*p, p - 3*q - 6 = -4*p. Let -7*m**3 - 9*m**3 + 3*m**3 - 33*m**2 - 5*m**p - 3*m**4 - 18*m = 0. Calculate m.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight fifths of a milligram in micrograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -12*r**2 - 6*r + 2. What is m(-4)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 + -5383?\nAnswer: -5385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1552*l - 15507 = 237*l - 66*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -160*c. Let k be o(-1). Suppose -m = k - 45. Let b = -55 - m. Calculate the greatest common factor of 90 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2450237.\nAnswer: 373, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23.4258 hours to days.\nAnswer: 0.976075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1)\/(-3)*-2)\/(20\/(-60)). Suppose -h*v - 540 = -7*v. Suppose -u - 12 = -v. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*g + 58*g = 2*w - 50983, 0 = w + g - 25484. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 AM and 3:53 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 - -4. Let j be (-2)\/t + (-179)\/(-157). Let g = j - -5812\/1099. What is the common denominator of 151\/6 and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-54 - 5 - 34)*(-2*m**4 - 3*m**4 + m**4) to w*m**4 + a + n*m**3 + r*m**2 + x*m and give w.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 23, 0, -4, 5, 2, -2726 in increasing order.\nAnswer: -2726, -4, 0, 2, 3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 - 5*h - 10. Let p be a(7). Suppose -9 = -2*z + 23. Solve -3*c = -2*g - z, -26 = -p*c + 4*g + g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 2*u = -4, 185*o - 186*o + 14 = 4*u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 1165900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0019296452 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 104798677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/20 in -4, -47, -152, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**3 + 9964*m**2 + 6200096*m - 6210064.\nAnswer: 4*(m - 1)*(m + 1246)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 + 16*q + 31. Let j be g(17). Suppose 2*u = 1346 + j. What are the prime factors of u?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -4*r**2 - 24*r + 8. Let l be z(-6). Suppose 5*k + l*k - 26 = 0. Let h = -19 - -19. Solve -d + h*u = -k*u, 5*u - 7 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 137859, 275763, 413699, 551661, 689643, 827639, 965643, 1103649?\nAnswer: 1241651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 + x. Let y(c) = -19*c**3 + 36*c**2 - 23*c + 6. Let u(g) = y(g) - 4*z(g). Find h such that u(h) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 264.\nAnswer: -1\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**3 + 25*y**2 + y + 39. Let w be m(-25). Suppose 2*i - i - 333 = -3*u, -348 = -3*u + 4*i. What is the highest common factor of u and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b + 0*b + 2*b)*(-b**3 - 2*b**3 + b**3) + 0*b**4 + 3*b**4 - b**4 + (-b - 2*b + b)*(11*b**3 + 0*b**3 - 3*b**3).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 426281?\nAnswer: 31, 13751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16 - 10. Let m(c) = c**3 - 6*c**2 - 3*c + 6. Let b be m(p). Let s(u) = -u**2 + 19*u - 60. Let a be s(16). Is a less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 124 and 292?\nAnswer: 9052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -211 + 600. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + -1. Let m = -2777.5 + 2828.5. Which is the closest to m?  (a) -2  (b) i  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 + 2. Let f(w) = 13*w**3 + 3*w**2 - 10. What is f(v) + 5*n(v)?\nAnswer: 8*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*i = 17*i - 62. Suppose 0 = -i*k - 3*q + 1781, -2*q = k - 6*q - 885. List the prime factors of k.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -204.6 - -218. Let p = s - 13. Let g be (-48)\/(-32)*8\/78. Sort 2, p, -1.1, g in increasing order.\nAnswer: -1.1, g, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 5, -935, 0.4, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*n + 2*k = 9*n + 30, 3*k - 7933 + 7882 = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.002056 + -783402.7.\nAnswer: -783405.702056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -2*d**3 + 4*d**2 + 49*d + 2. Let f be 78\/(-7) + (-29)\/(-203). Is b(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*l + l - 5*b + 20, 2*b = 4*l - 16. Let u(a) = 117*a**2 + 7*a + 1. Is u(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 670138 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -12*y**4 + 2 - 2 + 0*y**4 - y**4 + 0*y**4 + (0*y**3 + y**3 - 2*y**3)*(4 - 2*y - 4).\nAnswer: -11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1833046228 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, 1\/6, -1, 4\/7, 4\/17, 1 in increasing order.\nAnswer: -1, 1\/6, 4\/17, 4\/7, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 74 a factor of 1184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 7*(-12)\/(-14) - 4. Put -1, -16, w, 0 in ascending order.\nAnswer: -16, -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1060)\/2650)\/((-1)\/(-50))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 191, 331, 467, 599, 727, 851, 971?\nAnswer: 1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58*r - 9*r - 30*r.\nAnswer: -97*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 270 and 1415340.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 81, 80, 79, 78?\n\"Answer: -c + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1034, 5721, 13540, 24491, 38574?\nAnswer: 55789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, y: 1, l: 2, z: 1, p: 1, s: 1}. Give prob of picking 1 p and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -23\/1927602 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w. Let d(y) be the first derivative of -y**2 + 105*y + 42. Calculate f(d(m)).\nAnswer: 2*m - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of u**5\/180 + u**4\/36 + 2*u**2 + 2. Let l(b) be the second derivative of s(b). Factor l(t).\nAnswer: t*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 7. Suppose a = -i*a. Suppose 4*k - c - 68 = -6*c, -4*k - 4*c + 64 = a. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -46*q - 15. Let j = -45 - -47. Let u be 14\/(j - (4 - 0)). Is m(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9490 - 9491.3. What is the nearest to 19 in -2\/7, -3\/4, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00113719 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -4. Suppose -2 - 1 = -5*m - t*z, -4*z + 21 = -5*m. Which is smaller: m or 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 511, 1020, 1525, 2026, 2523, 3016, 3505?\n\"Answer: -2*y**2 + 515*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s + 21. Determine u(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 30738917.2 to the nearest 10000.\nAnswer: 30740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -25. Calculate the remainder when 44 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11 times 0.032?\nAnswer: -0.00352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 78.9882l?\nAnswer: 78988.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 299839826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 3*w**2. Let n(j) be the first derivative of j**5\/60 + 12*j**2 + 25. Let y(q) be the second derivative of n(q). Give r(y(l)).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 130265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1929 (base 16) to base 5.\nAnswer: 201231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1, -0.58, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -p**5\/7 + p**4 - 17*p**3\/7 + 17*p**2\/7 - 6*p\/7 = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 2*g + 15. Suppose 6*z - 5 = z - 5*b, -2*z + g = -b. Solve -z = 3*y - y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j**2 - 2*j**2 - 2*j**2 + (6*j + 3*j - 2*j)*(-j + 2*j - 2*j))*(j**2 + 3*j - 3*j).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -119 + 108. What are the prime factors of (-5 - f)\/(4\/206)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 6:36 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*l**2 + 3*l**2 - 3*l**2 + 2)*(1 - 3 + 1) to w*l + y + q*l**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -45 - -4?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18558 is divided by 79?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47931863?\nAnswer: 7, 6847409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2\/4*-3*22*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 43708\/(-12) - 2\/3. Let k = o - -5218. Let q = 2295 - k. What is q rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 42999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -65*z**3 - z**2 - z + 1. Let g be m(1). What is the units digit of (1*3)\/((-11)\/g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/22 and (-4)\/(-14) + (-1185)\/350.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 435 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 13) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -748*a + 221*a - 72*a - 115*a - 248*a. Let v(k) = k. Calculate r(v(n)).\nAnswer: -962*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + i**2 - 1)*(-i + 0*i + 0*i) + 0*i**2 - 2*i**3 + 0*i**2 + 930*i**2 + 7*i + 464*i**2 + 288 + i**3 - 1389*i**2.\nAnswer: -2*i**3 + 5*i**2 + 7*i + 288","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-2 + 3 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -172294 + 4245*w + 172294 as q + d*w and give d.\nAnswer: 4245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9\/6*(-3612)\/(-18). Suppose 297*z = h*z - 308. What is the remainder when z is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of -p**5\/60 + p**4\/12 + 5*p**3\/6 + 2*p**2. Let q be r(5). Let x(z) = z**3 + 9*z**2 - 13*z - 12. Does 5 divide x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -84423 by -1374.\nAnswer: 28141\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3005 (base 9) in base 15?\nAnswer: 9b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**3 + 69285*r**2 + 554520*r + 1109200.\nAnswer: -5*(r - 13865)*(r + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16 + 30. Let a = i - 12. Suppose -10 = -3*v - q, -q = -2*v - a*q + 7. Solve -5*f + v*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 13) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 40256666, 40256665, 40256664, 40256663, 40256662, 40256661?\nAnswer: 40256660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 558\/69 - (-4)\/(-46). Let c = 5 + -2. Solve g*k = 3*k + 15, 3*w - c = -2*k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 0.682328 weeks?\nAnswer: 4.776296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 1 = 3*s + 2, 2*z = -5*s + 10. Let k = -2.3 - 194.7. Let r = k + 199. What is the biggest value in 0.3, 5, z, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26973 divided by 729\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 AM and 5:58 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -f - 236. Let r be (f\/(-6))\/(14\/1071). Let m = -16009 - r. Round m to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 150 and 1770.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rcd when three letters picked without replacement from ifrccdi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, 1\/3, 741, 42\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3658370.4us in days?\nAnswer: 0.00004234225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -45*v**2\/2 - 88751*v\/2 - 19718.\nAnswer: -(5*v + 9859)*(9*v + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -26 + 25.983. Let l = -0.01699669 - u. Round l to 7 dps.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 435151 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ci when two letters picked without replacement from lciawkliliwc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5547459 centuries to years.\nAnswer: 55.47459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 135131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -358 - -230. Let y = l + 168. Suppose 0*n = -4*n + 164. Are n and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) 19  (c) 658.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -493*c - 234. What is the ten thousands digit of o(-64)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of 38*y**3 + 2*y + 510. Let t(s) = 15*s**2. Give x(t(u)).\nAnswer: 25650*u**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1111000011011101101010 + 11?\nAnswer: -1111000011011101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y**2 + 8*y - 3. Let r be q(3). Suppose 5*m + 24 = n, -18 = -r*n + 3*m + 18. Suppose -10 + 3 = -5*v + 4*u, -3*v = -4*u - n. Is -3\/25 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 2 = -j, 2 = -2*i + 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 680 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 9 - 1, 5*m - q - 6 = 0. Let b(i) = -4*i - 13. Let g be b(-18). Suppose 3*z - m*z = g. What are the prime factors of z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**19*i**23)**(-9) assuming i is positive.\nAnswer: i**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4059\/(-205))\/((-9)\/10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 187379 times -0.3?\nAnswer: -56213.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -53 divided by 191?\nAnswer: -53\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1, -2\/843, -0.4975, -3 in decreasing order.\nAnswer: 5, 1, -2\/843, -0.4975, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 13, m: 3}. Give prob of sequence mw.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 790 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -5*u - 6. Suppose m - 7 = -0*m. Suppose 2*o - 3*x - 40 = x, 0 = -3*o + 4*x + 50. Let t be 93\/(-15) + 2\/o. Let i(b) = -6*b - 7. Give m*h(c) + t*i(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -s + 6*s - s in the form u*s + c and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -4\/7  (b) 0.3  (c) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - 3. Let t(d) = 11*d**2 - 6*d + 17. Let a(o) = 4*o**2 - 2*o + 6. Give x*t(c) + 17*a(c).\nAnswer: 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -5.4134.\nAnswer: 16.2402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 45697358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -3*f + 1. Let g(w) = -9*w + 3. Let r(q) = 4*g(q) - 11*l(q). Let u = -98007 - -98010. Give r(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = i + 2*i - 35, -5*c - i = -25. Suppose 6*r = c*r + 12. Let z = -143 - -155. What is the highest common factor of z and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-202 + 2*h + 202)*(-14 + 2 + 10 + 9*h).\nAnswer: 18*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/48)\/((-14)\/(-420))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 14*l**2 - 1663*l - 43820. Calculate k(141).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkp when three letters picked without replacement from irprkfpk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 87\/4 of a litre?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p - 10 = -8*p. Suppose -9 = -2*l - 1. Suppose 20 - l = -4*w. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 29\/6 of a week?\nAnswer: 48720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/((w\/(w*w*w*w*w**(-3)\/w*w))\/w))**(-48)*w**(-3)\/w*w**(8\/7) assuming w is positive.\nAnswer: w**(-692\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**2 + 391045*z - 391040.\nAnswer: -5*(z - 78208)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3444403987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*g - 4*g + 0*g + (-5*g + 3*g + 4*g)*(3 + 3 - 5) + 20 + 5*g - 20 + (-1 - 1 + 1)*(1 + 2*g - 1) - 2*g + 0 + 0 in the form d + m*g and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18*g + 2*g + 44*g - 2*g + g + 3*g - 3 + 2*g + 3 + (1 - 4 + 4)*(-2*g - 4*g + 5*g) + 3*g - 3*g + 2*g.\nAnswer: 69*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3477143605 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 4*a + 24 = 0, -2*a = -3*r + 4*r. Calculate the remainder when 13 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 54 = 7*w. Let f = -239 + 160. Let b = w - f. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**3 - 10*q**4 + 12*q**4 - q + 0*q - 19*q**4 + 17*q**4 - 9*q**4 + (1 - 2*q**3 - 1)*(-2*q + 1 - 1).\nAnswer: -5*q**4 + 2*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x. Let b(y) = 2*y. Let z(a) = b(a) + k(a). Let c(q) = 9*q. Let t = -688 - -664. What is t*z(v) + 3*c(v)?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 - 41*n + 296. What is q(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - (-6)\/4)\/(-6). Let t = 1321\/5 + -265. Let n(q) = 5*q**2 - 51*q + 5. Let r be n(10). Sort h, t, r.\nAnswer: r, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2 - 2*g + 3. Let t be d(-3). Solve 2*r + 2 = -t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:16 AM and 6:47 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 975512, -2\/7, -0.06 in increasing order.\nAnswer: -2\/7, -0.06, 975512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-1\/22)\/(n\/n**16) assuming n is positive.\nAnswer: n**(329\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.61 + 0.01. Let h = -488 + 488. Which is smaller: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(1700) + 3*sqrt(1700)*-5 - sqrt(1700)) + sqrt(68) + (sqrt(68) - (3 + sqrt(68) + -1)**2) + 3.\nAnswer: -154*sqrt(17) - 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 140926.3 millilitres?\nAnswer: 140.9263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20275052 + -9333627. Suppose 0 = 3*b - 6*b - 16924275. Let g = b + a. What is g rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -bc682 (base 16) in base 9?\nAnswer: -1405530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 + 13*m**2 + 14*m. Let s be z(14). Suppose s = f - 6*f. Solve 0*j - 3*j + 15 = f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 - (85\/(-102))\/((-5)\/9). Let d = 7 + -10. Is u > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -n**3 + 195*n**2 - 12672*n + 274428 = 0?\nAnswer: 63, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, v: 1, u: 2, p: 7}. Give prob of picking 2 p and 1 g.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b + 33*c - 7*c - 15*c = -2*b + 8, 0 = 9*b - 3*c - 96 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -14, -14, 4, 40, 94?\n\"Answer: 9*p**2 - 27*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 315 and 2980?\nAnswer: 187740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the third derivative of -4\/5*r**5 + 0 + 0*r**4 - 15*r**2 + 53\/6*r**3 + 0*r. What is the first derivative of c(g) wrt g?\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5, -8, -7, -2, 7, 20?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zeeeeweeeeeqeiie. Give prob of sequence ze.\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 6\/17  (b) -6\/5  (c) -4  (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -1107.83461 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 + 15 = 3*z. Suppose -64 = -4*j - z. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -513 divided by -6?\nAnswer: 171\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2a05 - -499?\nAnswer: 33a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes before 10:18 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2553198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30325 (base 6) to base 3.\nAnswer: -12111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -20652*n**3 - n - 132543 wrt n?\nAnswer: -61956*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-132)\/8)*9\/(54\/12).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 2 = -b, 3 = -3*m + 5*b - 7. Solve -4*x + 0*x - 20 = m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1831764543 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 60345954 a multiple of 1214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 + o. Let q(l) = 4*l**2 + 3*l. Let u(f) = -6*a(f) + 2*q(f). Let r(k) = -2*k. Determine u(r(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 - (-42 + 3 + -1). Suppose -3*k + h = 7. Let s(o) = -12 + o + k - 2*o. Let b(j) = 2*j**2. Give s(b(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 9 + 2*r)*(-3 - 4 + 5 + (-3 + 4 + 0)*(1 + 0 - 3))*(-96*r + 559*r + 553*r + 67*r).\nAnswer: -8664*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/8)\/(234\/1248)*9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 - 2*r**2 - 3*r - 4. Suppose 2 = 2*s - 0. Let q be (2\/4 - s)*-6. Let b be v(q). Put 0.4, b, 0.2 in decreasing order.\nAnswer: 0.4, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2974c7 (base 13) to base 8\nAnswer: -3700055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2759 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 200 - 201. What is the closest to -0.1 in z, -0.4, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 614 and ((-54)\/4)\/(-9)*16\/3?\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 212 + -5723\/27. Which is smaller: -0.1 or p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + 0 + sqrt(2057) - -2*(sqrt(2057) + 1) - ((sqrt(2057) - (sqrt(2057) + 0))*4 - (sqrt(2057)*2 + 4))) + -4)**2.\nAnswer: 51425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 15*f**2 + 23*f**2 - 48*f + 138 + 73 - 36*f**2. Give b(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 31*h**2 + 6200*h + 22. Calculate n(-200).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17 + 42. Suppose -4*i = -a - x, 11*i - 6*i - 40 = 3*a. Let f be i\/10 + 6\/4. Solve f*u + 4 = c, -18 = u + 4*c - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*s**2 - 5*s + 5*s - s**2 - 2*s**2 + 2*s**2 + (2 - 2*s - 2)*(-8*s + 2*s + 2*s).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 20, 16, 12, 8?\n\"Answer: -4*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 165 + -162. Let c be ((-4)\/(-6))\/(u\/18). Solve -c = -t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 - -656480.\nAnswer: 656477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - 1332 = -4*q - 1363, -4*o + 3*q = -25 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7202*k**3 - 45*k**2 - 20773142*k?\nAnswer: -43212*k - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + l - 26544, 5*n + l + 2761 = 47001. Is n a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 + 23*c**2 - 4*c + 51. Let n be t(-23). Calculate the greatest common factor of n and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60.60003ug to kilograms.\nAnswer: 0.00000006060003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/3?  (a) 0  (b) 4  (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 355 (base 13) to base 12\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (34\/(-17))\/((-7)\/9)*70\/15\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 296148 and 5766882?\nAnswer: 426749268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/2)*d**(-1\/3)*d\/(d**(-2\/3)\/d)*d**(-4)\/d)\/((d**(-1))**(-7))**39 assuming d is positive.\nAnswer: d**(-1651\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11.68 - -12. Let q = s + -0.12. What is the second smallest value in -5, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 + a. Let c(x) = 5*x**2 + 14*x - 4. Let r(m) = -c(m) + 6*w(m). Give r(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 9:38 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -83868964*a**2\/3 - 275802328*a\/3 - 226743364\/3 = 0. What is a?\nAnswer: -7529\/4579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 7, 58, 193, 454, 883, 1522?\n\"Answer: 7*p**3 + 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (1332\/(-3120))\/(8 - (-803)\/(-88)) and -169\/1080.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((50\/15)\/10)\/(5\/(-90)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 260 = 2*z - z, -4*q + 219 = -3*z. Let r = 72 + q. Is r\/5 - (-4)\/10 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -3*x**2. Let h(a) = -6. Let v(u) = u**2 - 10. Let b(d) = 5*h(d) - 3*v(d). Give l(b(i)).\nAnswer: -27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 159*p + 1850 = 8139 - 3809 + 9445 for p.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49 + 154*u**2 + 4006*u - 28 + 77 - 4006*u.\nAnswer: 154*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -150138528*w - 32732085 wrt w.\nAnswer: -150138528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/(-5)*30\/12. Suppose -2*s + 3*d + 35 = 2*s, u*d = -4. What is the remainder when 62 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22 + -16. Suppose m*b = 4*b. Suppose -2*c = -l + 5*l - 30, -2*c - 2 = b. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 3*r + 5*c, -4*r - 2*c + 3*c + 5 = 0. Let o(j) = 3 + 44*j - 4 + r. Is o(1) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - g = 2*t, 3*t = 5*g - 2. Suppose -t*q = -11*q + 40. Suppose 3 + 1 = z. Solve 3*w - n = -q, z*w + 2*n + 25 - 1 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 130 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22 + -9. Let m = s + -9. Let t be 2\/4 + 4\/(-58 + 2). What is the second biggest value in t, 0, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5676 + -1?\nAnswer: 5675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 21 = -5*i, -3*r + 21 - 7 = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/6090 and 50\/259.\nAnswer: 225330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 0 + (-6 - -1321 - -6)?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 4:25 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-777 - -766) + (-3 - -24) + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: 13 - (16 - (-12 + (-16 - 15)))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**2 + 353. Let u(y) be the first derivative of 2*y**3\/3 - 996. Calculate u(g(j)).\nAnswer: 2*j**4 - 1412*j**2 + 249218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 51219 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -222*s**2. Let k(v) = -v**2. Give l(k(a)).\nAnswer: -222*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**2 + 7*t + 4. Let p be d(8). Let g be 12\/(-54) - (1 + 0 - 1). Which is the smallest value?  (a) p  (b) -2\/5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 696091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 205 - 623 + 2*i + 211 + 207.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of a**5\/240 + 365*a**4\/96 + 75*a**3 - a**2 + 306. Find s, given that n(s) = 0.\nAnswer: -360, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/(-5))\/(24\/80). Suppose k = v*k - 24. Suppose -2*l + 15 = 3*l. What is the remainder when k is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*d**3 + 2*d**3 - 3*d**3 + (-d + d + 2*d**2)*(-d - d + d) + 3*d**3 - 4 + 4 + (5 - 7 + 6)*(-6*d**3 + 4*d**3 + 4*d**3).\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-54))\/(5\/(-3))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1144 and 35195849?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 33f + 5fc?\nAnswer: 93b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*n - 3866 - 10844 - 601*n**2 + 2863 + 603*n**2 to c + p*n**2 + z*n and give c.\nAnswer: -11847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 0*l = -3*h - 20, 3*l + h - 19 = 0. Let p be 1*(2 + -3 + 40*1). Let w be (-1 - 2)\/(p\/(-26)). Solve -5 = 5*s - 3*b, 2*s - l*s - 30 = w*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 4*t - 56, -8 - 2 = -t + 3*o. Suppose -2*b - 5*r + 281 = 0, 5*r = -5*b + 462 + 248. Calculate the highest common divisor of b and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 times 0.0435?\nAnswer: -1.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3824 - -3824. Let q(a) = -a**3 + 4*a**2 + 7*a - 6. Let w be q(5). Solve -p - 3 = 5*i, 3*i + 12 + b = -w*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 90 and 1215.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 341*s**3 - 48*s**3 + 581*s**3.\nAnswer: 874*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1160 (base 10) to base 13.\nAnswer: -6b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*c - 342*c - 443*c + 7947 = -24653 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 31725 and 101285?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 63 (base 10) to base 6\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -41 divided by 995\nAnswer: -41\/995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-15))\/((136\/4862)\/((-155)\/(-341)))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 3*k + 4. Determine b(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 0.1377, -34 in increasing order.\nAnswer: -34, 0.1377, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1497*z - 684*z = 760*z + 3498 for z.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 247314481 to the nearest integer?\nAnswer: 15726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2*s**2 + 4*s + 3. Let y be d(-2). Let v be ((-8)\/y)\/(6\/18). Let p be (15\/(-12))\/(1\/v). Calculate the greatest common factor of p and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 - (-18 - (-21 + 5 + -16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**2 - w + 88. Let m be p(-10). Let f = -2 - -2.1. Which is the closest to f?  (a) 3  (b) -3  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 6314 = -2*h, -9436 = -53*z + 50*z + 2*h. Calculate the smallest common multiple of z and 2450.\nAnswer: 22050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-128)\/(-24) + -4)\/(4*(-1)\/(-294)). Solve 42 = -7*c + l for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z + 721 = 823. Suppose 0 = -2*i + 29*r - 24*r + 31, r + z = 4*i. Let y(w) = -w**3 + 2*w**2 + 5*w - 2. Calculate y(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 2*z**3\/19 - 437308*z**2 - 16617710*z\/19 - 8308856\/19 = 0?\nAnswer: -1, 4154428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.53, 0.07, 1\/6, 5, -17\/4 in decreasing order.\nAnswer: 5, 1\/6, 0.07, -0.53, -17\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 95 + 175. Suppose -3*s + 4*s - 28 = 0. Let z = s + -10. What is the highest common factor of q and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-168)\/18*(-6)\/4. Let r = q - 12. Differentiate 2 + 8*p**r + 0 - 2 + 4 with respect to p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 7*g**2 - 15*g**2 + 3*g + 9*g**2 - 9*g - 39 + 35. Suppose u - 11 + 5 = 0. Calculate q(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, 4, -201.\nAnswer: -201, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 4*c = 36, -330 = -20*h - 223624*c + 223626*c for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 5*n - g - 27135, 0 = -2*n - 2*g + 10862. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 260 and 34806460?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 936615 rounded to the nearest ten thousand?\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 69\/2177110 and 49\/1306266.\nAnswer: 6531330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2\/3  (b) 5  (c) -0.1  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 160242587 to the power of 1\/2, to the nearest integer?\nAnswer: 12659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.04 + 0.06. Let v = 48\/11 + -369\/77. What is the third smallest value in q, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 244*w + 5136. Determine v(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45\/1 + 1142640\/(-25380).\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide ((-21)\/35)\/(2688776\/537760 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14164 - 3324?\nAnswer: -20521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 147b (base 13) to base 7.\nAnswer: 11450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1332 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: Calculate the remainder when 7434 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 202 = 3*h, 0*x - 3*x = h - 72. Suppose -o + h = -4*g - 4*o, 4*g + 45 = 5*o. Let z be (-4)\/6*g\/10. Is z greater than or equal to 1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 714155 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 - -12. Suppose -o - 243 = -v, 0 = -3*v + 8*o - j*o + 732. Is v a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 2) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (5*(-1*(sqrt(209) - -1*sqrt(209)) + sqrt(209)))\/((sqrt(11) - (-2*sqrt(1331) - sqrt(1331)))*-4).\nAnswer: -4 + 5*sqrt(19)\/136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -363 (base 10) to base 8.\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -24  (b) 2\/11  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 948, 3, -4, -1 in descending order.\nAnswer: 948, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -93135, -93079, -93023, -92967, -92911, -92855?\nAnswer: -92799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 8 = 5*b. Let w be 3\/(b\/((-12)\/(-9))). Suppose 0*c - 2*c - 6 = 2*f, -3*c - 7 = 5*f. Put f, 0, w in increasing order.\nAnswer: w, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -10*c**2 + 2. Let s(z) = 21*z**2 - 5. Let k(w) = -3*w**2 - 59*w - 208. Let m be k(-15). Give m*s(u) + 5*n(u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 519162.\nAnswer: 2, 3, 7, 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9166287*b**4 - b**2 + 3559134*b + 2.\nAnswer: -219990888*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30251978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 640 divide 1359360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.44 - 0.06. What is the third biggest value in 0.1, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 14\/42 - (-64)\/(-3). Let y be -498*f\/198*-3. Let j = y - -159. Calculate the common denominator of j and 99\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -4910, -523 in descending order.\nAnswer: -0.4, -523, -4910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26 + -35. Let g = -19 + s. What is the least common multiple of 120\/14 + (-12)\/g and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**2 + 9*u + 3. Let d be j(9). Solve 0 = -0*o + d*o + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-85 - 231 - 649 - 104 - 883)*(j - 2 + 2).\nAnswer: -1952*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**4 + 848*k**3 - 3389*k**2\/4 + 847*k\/4.\nAnswer: -k*(k - 847)*(2*k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 5*t**3 + 36*t**2 + t - 39. Let w be o(-7). Let -w*b + 9\/2*b**5 + 0 - 15\/2*b**2 - 3\/2*b**3 + 15\/2*b**4 = 0. Calculate b.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of -2467*x**3\/3 + 11*x**2 + 7*x - 1658. What is the second derivative of m(i) wrt i?\nAnswer: -4934","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 716.8404 meters to millimeters.\nAnswer: 716840.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 15072909990.5 take away -0.2?\nAnswer: 15072909990.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 444 divided by -4\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 - 4. Suppose -18 = 5*m + 3*s, 0*m + 5*s = -m - 8. Sort 3, m, q.\nAnswer: m, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand m**4 - 3*m**4 + 4*m**4 + (-3 + 3 + 4*m**2)*(-5*m + 5*m**2 + 5*m).\nAnswer: 22*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + 6. Let a = n - -3. Solve a*h = -0*h + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 72 + -72. Sort 0.1, -19\/5, q.\nAnswer: -19\/5, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**2 + 56*j - 119. Give g(53).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -129.16 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -3*v**3 + 89*v**2 - 166*v + 235. Give f(28).\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjejjjj. What is prob of sequence jj?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 3*v = -293 + 373, 0 = -5*v for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the third derivative of -1\/6*j**4 + 0*j - j**3 - 3*j**2 + 1\/30*j**5 + 0. Suppose p(z) = 0. Calculate z.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 13 = -3*j, 5*t - 13 = -5*j - 58. Let f be 6783\/68 - (-6)\/t. Suppose -83 - f = -2*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 2*c + 10*g - 58087, -18*c = -2*g - 522830. What is the thousands digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 208702 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/8*2 + 4. Suppose -6 = -n*i + 3*i. Put i, -3, 2 in decreasing order.\nAnswer: i, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 189 divide 7353234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -46 - ((-16 - (-9 - 19)) + -32)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3.03 and 0.14?\nAnswer: 3.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -38917 + 38916.71546. What is c rounded to three dps?\nAnswer: -0.285","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + q = -24. Let o = q - -4. Put 3, 1, o in descending order.\nAnswer: 3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122436.82 take away 0.3?\nAnswer: 122436.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*m**3*u + m**3 - 32*m**2*u + 24660*m**2 - 2*m + 557*u wrt u?\nAnswer: 3*m**3 - 32*m**2 + 557","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -0.9. Let p(m) = m + 8. Let z = 8 - 17. Let k be p(z). What is the closest to g in -0.4, k, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10205924 is divided by 4540.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 + 6*t + 1. Let z be y(6). Suppose d + 2 = -z. Let v = 10 + -9.5. Which is the second smallest value?  (a) v  (b) d  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 2*c**3 + 2. Let f be s(-2). Let x = f + 18. Which is greater: x or 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-112)\/(-416)*8\/14.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1180*d + 4 = 2*b - 1181*d, -b + 4 = -d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -723 - -750. Let n = 9 - 0. What is the highest common divisor of n and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 3*f**3 + 3*f**2 - 11*f + 6. Let z be b(-5). Let t = -230 - z. Solve 2*l - 4 = 3*k, 3*k - 3*l + t = -6*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 401 is divided by 141.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppphphpphhp. Give prob of picking 3 p.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 37\/24 - 1\/24. Let l = -29732.2 - -29732.2. What is the closest to l in h, 2\/17, -1\/3, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -1 - 4. Let z = l - 3. Let w(d) = 5*d - 4. Let x(a) = -26*a + 21. Let n(h) = 11*w(h) + 2*x(h). Give n(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -191*(15\/(-10) - -1)\/(2\/4) is divided by 161.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -248 greater than or equal to -248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**4\/7 + 4*d**3\/7 - 50*d**2 + 224*d.\nAnswer: 2*d*(d - 7)**2*(d + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f**(1\/24)\/f))\/((f*f**(-11\/3))\/f*f) assuming f is positive.\nAnswer: f**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of 12*q**5\/55 - q**4\/22 - 196*q**3\/33 + 16*q**2\/11 + 64*q\/11 + 359. Suppose p(j) = 0. What is j?\nAnswer: -4, -1\/2, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 11) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 406\/(-7)*(7 + -2). Let g = f - -336. Calculate the remainder when 136 is divided by g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61.44884t in grams?\nAnswer: 61448840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 575 not equal to 459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 3*v - 2 - 2*v + (3 - 3 + 1)*(0 + v + 0).\nAnswer: -4*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 657*v - 2 + 598*v + 178*v - 82*v + 210*v in the form d + f*v and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 1 + 3)*(-4 - 1 + 4)*(39 - 39 - 13*g)*((-5 - 2 + 2)*(2 - 1 - 2) + 0 - 1 + 3).\nAnswer: -182*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of -36*k**3 + 126*k**2 - 147*k + 26. Factor t(o).\nAnswer: -3*(6*o - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2792.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4070.774 minutes to seconds.\nAnswer: 244246.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 + w**2. Let y = -40 + 43. Let r(q) = -23*q**3 - 3*q**2 + 17. Let z(a) = y*m(a) + r(a). Differentiate z(b) with respect to b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7505?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.143188261*-0.2\nAnswer: 0.0286376522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16 (base 10) to base 3.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -2*l. Let a(k) = -378*k. Give r(a(y)).\nAnswer: 756*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1620322 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 5760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 51\/42 + (-1 - 2\/4). Which is the second biggest value?  (a) -1\/5  (b) -1  (c) z  (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 8ebfc7 - 6?\nAnswer: 8ebfc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 1113 + 127 = 0. What is j rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 + -7922771597?\nAnswer: -7922771596.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 39338091.4851 + -3\nAnswer: 39338088.4851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 3*t**3 - 1. Let w be p(1). Let j(i) = -5*i + 8. Let k be j(-4). Suppose -k + 23 = -a. Put 4, -5, w, a in increasing order.\nAnswer: -5, w, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*b - 11*b + 116 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*j**2 - 49*j**3 + 2*j**2 + 2*j**2.\nAnswer: -49*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1423 is divided by (-1219)\/265*(-1 + -9)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2470440 divided by 58820.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -379.25 - 67.33312\nAnswer: -446.58312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 + 21*r**2 + 4*r - 68. Determine t(21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -24916.813*-49\nAnswer: 1220923.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 212.737955 - -213050?\nAnswer: 213262.737955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**2 - 2*z - 3. Let s be t(3). Let o be s\/((-15)\/((-75)\/10)). Solve -2*a - 3 = 2*n - 5, 5*a + n - 9 = o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-98)\/(-12))\/(-7)*4\/(-21)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 + 2*r**2 - 2*r - 2. Calculate o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -17\/4967?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 203392 and 106736.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4399 - 3075. Does 27 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 486762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of 13 + 1\/42*k**6 + 1\/35*k**5 - 1\/21*k**3 + 0*k**2 + 0*k - 1\/28*k**4. Factor u(v).\nAnswer: v**2*(v - 1)*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + -8 + 13 + -33 + -26\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 16937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*h**2 - h**2 + 5*h**2 - 2*h**2 - 2*h**2 + 2*h**2 + (2 - 4 + 0)*(h**2 + 0 + 0))*(h - h**2 + 2*h**2 + h**2).\nAnswer: -10*h**4 - 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/276 and 17 - (-52482)\/(-2898) - 6\/(-14).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -22*f**3 - f**2 - 2*f - 2. Let l be v(-1). Let d = 52 + -31. Let u = d + -14. Calculate the highest common divisor of u and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 56*p**4 - 38*p**4 - 37*p**4 + (3*p**2 - p**2 - p**2)*(0 + 0 - p**2) to y*p + m*p**4 + w + n*p**3 + s*p**2 and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10767*w + 816*w + 4279*w - 6414*w - 10361*w.\nAnswer: -22447*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34157 divided by -1.\nAnswer: -34157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 - -2 - (8 + 12)\/10. Let o be ((-8)\/(-16) + m)\/(1\/(-216840)). What is o rounded to the nearest ten thousand?\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b**4 + 208*b**3 + 2708*b**2 + 6728*b + 4224 = 0. What is b?\nAnswer: -33, -16, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 1, -0.566 in descending order.\nAnswer: 1, -0.566, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -215, -5 in ascending order.\nAnswer: -215, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2 - 6*q - 5. Let r be h(7). Suppose 6 = r*i - 3*i. Let x(z) = -z**2 - 4*z + 5. Calculate x(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**3 - 4*n**3 + 0*n**3 + (-2*n + 0*n - n)*(3*n**2 - 3*n**2 - 3*n**2) - n**3 + 3 - 3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 2*g = -4*g. Suppose -7*w + 0 = -g. Suppose -5*y + 94 - 4 = w. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 105, 391, 1161, 2655, 5113, 8775?\n\"Answer: 40*w**3 + 2*w**2 + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1781 is divided by 571?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 453853 is divided by 41238?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 + 9*u**2 + u + 12. Let i be f(-9). What is the lowest common multiple of 18 and 11\/(5\/(-2) + i)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5.23146 and -922.\nAnswer: -4823.40612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) -5  (c) 2\/17  (d) -3  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.07 * 30.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -19569 or -19014?\nAnswer: -19014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**2\/u*u\/((u*u**(1\/13)\/u)\/u))**(-34))**28)**(-20) assuming u is positive.\nAnswer: u**(723520\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.3 and 0.0022?\nAnswer: 0.2978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the first derivative of -f**7\/147 + f**5\/35 - f**3\/21 - 4*f - 1. Let s(g) be the first derivative of j(g). Factor s(z).\nAnswer: -2*z*(z - 1)**2*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 2  (b) -3  (c) -1  (d) 17.21  (e) -28\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 81, 4, -2\/5, 254, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 1 - -5 - 4144\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000478414 rounded to six decimal places?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 29629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 991025.1 decades in months?\nAnswer: 118923012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1130131011 (base 4) to base 12\nAnswer: 163199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of -4*g**2 - 6*g + 57. Let f be p(-1). Factor 1\/5*z**f + 3\/5*z + 2\/5.\nAnswer: (z + 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in -0.46, -0.2, -3\/5, 3, 8?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7890*v - 226151*v + 7528*v - 9895*v.\nAnswer: -236408*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 822135.\nAnswer: 3, 5, 23, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(38)\/(sqrt(288)*-1) + (sqrt(152) - ((sqrt(152) - 1*sqrt(152)) + sqrt(152))*2)\/(sqrt(8) - (sqrt(72) - sqrt(72)*2)).\nAnswer: -sqrt(19)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/(-9) + (-5)\/12)*52. Suppose -59 - o = -4*f. Calculate the least common multiple of f and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2541 + -100?\nAnswer: -3041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2667\/4 - 667. Which is the smallest value?  (a) -3  (b) w  (c) 2\/33  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/(-12))\/(12\/(-9)). What is the third biggest value in v, 0.8, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -117 + 125. Solve 4*r + 4*s = 16, -7*r - p = -3*r - 2*s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -11, -18, -17, -8, 9, 34, 67?\n\"Answer: 4*q**2 - 19*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 12*l**2 - 5*l. What is the remainder when n(3) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000767 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/126364 and 151\/390?\nAnswer: 24640980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2631434 - 2?\nAnswer: 2631432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -14 in 0.2, -5, 372\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 6*b**2 - 5*b**2 + b**2. Let w(g) be the first derivative of -1 + 0*g**2 - 2\/3*g**3 + 0*g. Calculate w(m(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 3*p + 9. Calculate c(8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/7  (b) 1\/6  (c) -16  (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, a: 2, k: 1, f: 1, z: 3}. What is prob of picking 1 f and 1 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 6*t - 4*t = 4*q + 12, 0 = 31*q - 33*q - 72*t - 584 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -92\/5 - -19. Suppose r + 0*r = -2. Sort 0.2, r, u in descending order.\nAnswer: u, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2669602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-200)\/75*(0 + 12\/56).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w**5\/7 + 253*w**4\/7 + 20994*w**3\/7 + 568322*w**2\/7 - 20995*w\/7 - 81225 = 0. Calculate w.\nAnswer: -95, -63, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(187)*-2 + sqrt(187) + sqrt(187) - sqrt(187)) + sqrt(187) + (sqrt(187) - -2*sqrt(187)*1))\/((2*sqrt(110))\/sqrt(10)*-6).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 132 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 304790 (base 10) in base 15?\nAnswer: 60495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10896192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 19, 10, -13, -56, -125, -226, -365?\n\"Answer: -z**3 - z**2 + z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 234582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 100\/7 - 34\/119. Which is greater: x or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37 - 42*h - 76*h + 42 + 109 - 188.\nAnswer: -118*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 3 = c, 3*c + 6 = 2*m - 13. Is 13\/6 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1300) - (sqrt(1300) + (0 + sqrt(1300))**2)) + 4)*4.\nAnswer: -5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4513 + -1?\nAnswer: 4512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of x**7\/70 + 7*x**3\/6 - 2*x**2. What is the derivative of g(s) wrt s?\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1334 + 177 = -10*q + 1183. Is 235 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2. Let h(g) = -211*g. Determine z(h(n)).\nAnswer: 44521*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.333, -1\/6, 2\/5.\nAnswer: -0.333, -1\/6, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 43.2527091 - -0.7468609. Let p = -0.26 - -44.26. Let g = p - w. What is g rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-107*m**3 + 108*m**3 - 6*m**2 + 0*m**2)*(2*m + 0 + 0) to the form f*m**3 + k*m + h*m**2 + t*m**4 + a and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**3 + 0*s**3 + 0*s**3)*(3 - 5 + 1) - 1134 + 1134 + 6238*s**3.\nAnswer: 6240*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25 + -48 + 1743\/24?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -157 = 3*k - 493. Calculate the highest common divisor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 721 divided by -13002.\nAnswer: -721\/13002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -71*z + 35. Is l(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-2)\/4)\/(((-225)\/(-245190))\/(-15))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 37 + -37. Suppose y = -d - d + 2, 2*d - 38 = -2*o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/4)\/(6\/(-144)). Suppose 3*r = -t + 5*t - p, -r = -5*t + 26. Suppose t = -3*s - 6, 64 = 4*v - 3*s. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.23 and -168.296?\nAnswer: -38.70808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1200) - sqrt(3) - -3*sqrt(147).\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 2*n + 2*l + 250 = 0, -5*n = 4*l - 380. Let o = n + -73. Solve 18 + 10 = o*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + 0 + -9 + 43. Let k be g\/(-6) + 6\/(-4). Let d = k - -48. List the prime factors of d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-34)*v\/(v\/v**(-4\/5))*v**(-2\/27)\/v**29 assuming v is positive.\nAnswer: v**(-8623\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 61*k**3*y + 70*k**3 - 186*k**2*p + k**2 - 191*k*p*y + 2*k*y - 99*k + 2*y wrt k?\nAnswer: 366*k*y + 420*k - 372*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 8.1, 21, -583, -0.07?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3\/8)\/((g*(g**(1\/2)*g)\/g)\/g))**(18\/13)*(g**(-3\/5)*g*g\/((g\/(g**(-6)\/g))\/g))\/(g**(-5)\/g*g*g**0\/g) assuming g is positive.\nAnswer: g**(-211\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w and 1 q when four letters picked without replacement from qqqqqqwqqqqwcqwqqqqq.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39, -54, -47, -18, 33, 106?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + -2. Let t be (-5 - p)\/(1\/(-69)). Is (-1 + 5\/3)*t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 13714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.4*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h**(-8\/3)))\/h)**(-42)*((h*h*h\/(h*h*h**(-1\/7)*h))\/h)**(1\/29) assuming h is positive.\nAnswer: h**(-14216\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -209*h + 188870 = -1154*h - 925*h for h.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 45353136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-12))\/(22\/(-132)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 5*a + 339 + 64 = 0, 3*i = -3*a + 363. Calculate the highest common factor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47127556?\nAnswer: 2, 7, 499, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/5, 2566, 0, 11, -0.1, 2, 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (24 - 22 - (0 - -1) - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47753567 is divided by 68.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1593 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.2  (b) -4  (c) 0.0445  (d) -0.088  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -40 + 68. Let l = 50 - k. Suppose 5*h = l + 3. Solve 0 = 4*b + 2*j - 6, 4*b + h*j - 15 = 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-1 + 5 + -2*sqrt(7)*2) + 3 + 1.\nAnswer: -4*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5 + (-26)\/4 + 19937\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**2. Let f(g) = 846*g - 780*g + 2769*g. Determine f(j(z)).\nAnswer: 2835*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 4  (b) -1\/7  (c) -4\/9  (d) -0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*b**3 - 57*b**4 - 2*b + 0*b + 4061*b**2 + 12*b**4 + b**3 - 4065*b**2 as f*b**2 + t*b**3 + i*b**4 + d + o*b and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 + 12*x**2 + 12*x - 2. List the prime factors of b(8).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -28 - -40. Let s(n) = -n**3 - 4*n**2 - 2*n + 2. Let x be s(-3). Let g = x + 6. Solve m = -g*u + 5*k + 2, 2*k = 5*u - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/8)\/(2*(-7)\/392).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2493369500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -5*k. Let f(v) be the first derivative of -2*v**3\/3 + 19*v - 33. Let g(u) be the first derivative of f(u). Give g(m(j)).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -26 - -15. Let v = -24 - r. Let x = 8 + v. Which is the closest to 0?  (a) 0  (b) x  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (-7 - (-3 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, v: 2}. Give prob of sequence vlvl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 25 = -1, -v + 6*v - 1 - 14 = 4*h - 63 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 72*z**2 + 50*z - 1. Calculate p(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 405 = -5*j, 3*t + 4*j + j = 259. Calculate the remainder when t is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*s**6 + 5604629*s**3 - s**2 - s - 727717.\nAnswer: 240*s**3 + 33627774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*x**2 - 25*x**2 - 5*x**2.\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -125, -269, -413?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(21)\/sqrt(3) + -5)**2 + ((sqrt(7) - (sqrt(7) - (sqrt(7) + 0))) + 5 + sqrt(7))*-4.\nAnswer: -18*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -3*m**2 + 150*m + 102. Determine x(50).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/290 and (1\/(-70))\/(190\/(-4921)).\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -770666, -770662, -770658, -770654, -770650?\nAnswer: -770646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -6543.4935 to the nearest integer.\nAnswer: -6543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -143*y = 265*y - 43*y - 14235 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2*d**3 - 405*d**2 + 1015*d - 3013. Determine s(200).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 3*o - 8. Let u be r(4). Suppose 10 = -2*v - 5*s, -v + 24 = -u*v - 3*s. Let m be 102\/(-20) - 15\/v. Is m at least -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 213845.\nAnswer: 5, 19, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 5*u + 14 = 0, -t - 10349*u + 10348*u - 7 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 316 a factor of 96175548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 - -a7360?\nAnswer: a7356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*w + 4*d + 78 = -60*w, 0 = 5*d + 10. Solve -5*s - w = k - 0, -3*s - 10 = -k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34 + 48. Let n = a - 19. Let v = -6 - -5. What is the nearest to n in -2\/13, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the third derivative of x**5\/30 - 17*x**4\/24 + 11*x**3\/3 - 14*x**2. List the prime factors of a(10).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7 and 108647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 13\/5 of a hour?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 281402 less than or equal to 281403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5  (b) 0.1  (c) -1\/2  (d) -202847  (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3606 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*g = 15*g. Suppose g*b - 5 = -b. Suppose -22 = -b*u + 198. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 - 218193509549\nAnswer: -218193509548.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 19*f**2 + 76*f + 76. Let h(o) = o + 1. Let a(z) = 76*h(z) - y(z). Let c(u) = -2*u**2. Determine a(c(g)).\nAnswer: -76*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/33345 and 71\/17100?\nAnswer: 666900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 815403619 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: Let p be ((-8296)\/54)\/((-20)\/(-6)). Let b = p - -236\/5. Factor 8\/9 + b*q**2 + 32\/9*q - 14\/9*q**3.\nAnswer: -2*(q - 2)*(q + 1)*(7*q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (70\/(-525) + -7 + (-170)\/(-25))\/((-7)\/441).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32 + 15 - (-17 - -7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 + 14*a + 18. Let n be g(-13). Suppose n*w - 2*w = 1473. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 - 11*m**2 + 29*m - 6. What is v(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 2*d**5\/7 + 21442*d**4\/7 - 171750*d**3\/7 - 131830*d**2 - 1244612*d\/7 - 514992\/7 = 0.\nAnswer: -10729, -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 20 - 22 + g - 5*g + 10*g. Let h(d) be the second derivative of -7*d**3\/6 + d**2 + 3*d. Let s(i) = 5*h(i) + 6*r(i). Calculate s(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20659)\/(-47012) + 6\/(-552).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 29597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-4 + -2 + sqrt(242) + -1)**2 + (sqrt(242) + (-1*sqrt(242))**2 + sqrt(242) + -5)*-5 + 0.\nAnswer: -891 - 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -2*d - 5*k - 32, 4*k = -4*d + 8. Suppose -2*n + d + 22 = 5*y, 5*n = -4*y + 36. Suppose 0*i = n*i - 32. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 100\/250 + 26\/(-40). Which is the closest to h?  (a) 3\/8  (b) 5  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -2. Let v = 5 + u. Which is the closest to -0.2?  (a) v  (b) 1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 5\/2, -2.\nAnswer: -2, -0.5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of -a**4\/12 - 2*a**3\/3 + 2*a**2 + a. Let k be 4\/(-8)*-1*(-6)\/(-3). Let r be 1 + k\/1 - (0 + 5). Give j(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -390 - -171?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -3*a - 3, -5*z - 4*a + 1 + 2 = 0. Let r = 11\/90 - -1\/10. Find g such that -26\/9*g**z + 2*g**2 + 10\/9*g**4 + r*g - 4\/9 = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -8, -179 in decreasing order.\nAnswer: 5, -8, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*v**2 - v - 5 - 11 + 15 + (v + v + 0*v)*(0 + 2*v + 0).\nAnswer: 11*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 15080927 to the nearest 10000.\nAnswer: 15080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:36 PM and 12:21 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102*k + 25*k - 533649 - 800232 = 0. Is 40 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 573839011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 78 or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 5*b - 6. Let x be z(3). Let n be (-24)\/x*(-6)\/4. Let t(w) be the first derivative of -w**4\/4 + 5*w**3\/3 - w**2 + w + 19. Give t(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -34.5*-2\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 + 10*m + 44. Let s be n(10). Suppose 5*t + 15 = 0, -6 = 5*d + 2*t - 0. Sort s, -1, d, -5 in descending order.\nAnswer: s, d, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3)\/(-2))\/((-1)\/2). Let f(t) be the third derivative of -t**5\/60 + t**4\/12 + t**3\/3 - 18*t**2 + t. Let m(r) = -r - 1. Give s*f(w) - 6*m(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -0.5  (b) 0.2  (c) 6\/5  (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -122259658*l - 75417937 wrt l?\nAnswer: -122259658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1655 divided by 5?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -642*v + 647*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + v - v)*(-2 + 0 - 2)*(-6*v**2 + 178*v + 2 - 178*v).\nAnswer: -24*v**3 + 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1965*u + 4*q = -1960*u - 165, -4*u + 60*q = 152 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 = u + 53. Let w = 28 - u. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 1 x when three letters picked without replacement from {x: 6, e: 3, t: 3, a: 1, p: 1}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(104)*-1 - sqrt(104))*3)\/(((sqrt(72) - (sqrt(72)*1 + sqrt(72) + sqrt(72))) + sqrt(72) - sqrt(72))\/sqrt(9)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-855)\/(-57)*2\/(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*a - 29*a + 2 = 3*x, -10 = -5*x. Sort 6, 4, -93, a.\nAnswer: -93, a, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 2*w**2 - 419*w + 1238. What is o(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 - 7*x - 3. Let c(y) = -y**2 - 7*y - 3. Let g(p) = -5*c(p) + 4*n(p). Let v = -15 - -8. What is the units digit of g(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/15 - (-584)\/120. What is the third smallest value in 2, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 284170?\nAnswer: 2, 5, 157, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 - 7. Suppose 0 = 5*q - j*w - 2*w, 3*q + 3 = 4*w. Suppose f - 4*f + 6 = 3*p, 4*f = q*p - 27. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 - 22.2. Let n = 25 + z. Let r = -8.2000086 - n. What is r rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-329)\/(-1974))\/(2\/4 - 1). Is n at most -560\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-301)\/258)\/((-3)\/18))\/(-7*4\/(-56))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-19\/2)*i\/i**(-7))**(-15) assuming i is positive.\nAnswer: i**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 128999, 128988, 128993, 129020, 129075, 129164, 129293?\nAnswer: 129468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -130.23456 rounded to the nearest integer?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2 - 231*z + 908.\nAnswer: (z - 227)*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c**3*c)*((c*c**(-7)*c)\/c)\/c)\/((c*(c**4\/c)\/c)\/(c*(c*c**4)\/c)))\/(((c*c**0*c)\/c*c)**(5\/4)\/(c**1)**(3\/19)) assuming c is positive.\nAnswer: c**(-393\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 12\/49 in -4, -0.1, -1.19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 12856.\nAnswer: -1\/12856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(11) + 2 - sqrt(11)) + sqrt(11) - -2*(sqrt(99) - sqrt(11) - sqrt(11)))**2.\nAnswer: 12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 3\/7, 3, -7, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 1 + 1 + 0 + 1 + (0 - 5 + 2)*(2 - 2 + 2))*(-5*z**5 + 14*z**5 + 9*z**5).\nAnswer: -144*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x*x**(4\/37)*x)**(9\/8))**(2\/23) assuming x is positive.\nAnswer: x**(342\/851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1285772875 to the nearest integer?\nAnswer: 35858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 3*o, -8 = k - 905*o + 908*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 8*u**2. Suppose 2*k + 2 = 6. Does 10 divide q(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/3*(125\/(-30))\/(-25).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11 and 2486.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 4*z**2. Let n = -6744 + 6748. Let q(i) be the third derivative of 1\/24*i**n + 0 + 0*i + 0*i**3 - 26*i**2. Give v(q(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 98*m**3 - 78*m**3 + 59*m**3 + 43*m**3 + 76*m**3 - 71*m**2 wrt m.\nAnswer: 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3609*g - 1 + 1 + 0.\nAnswer: -3609*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*g**2 + 0*g**2 + 7*g**2)*(-1 + 1 + 5).\nAnswer: 75*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 12) + 22 - (1 - 3) - 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2 + 18*z + 248. Calculate the smallest common multiple of x(-9) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 4*f - 4. Let q(r) = -10*r + 10. Let t(s) = 3*s**2 + 16*s + 10. Let y be t(-5). What is y*q(b) + 12*l(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - 11*y - 48. Calculate r(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 931, 1735, 2147, 1969, 1003?\nAnswer: -949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -4*l. Let p(a) be the second derivative of 56*a**3\/3 + 390*a. Determine p(d(i)).\nAnswer: -448*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 106\/12075 and 34\/165.\nAnswer: 132825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = p - 2*u + 5, 2*u = 2*p + 14. Let w be p\/(-18) - 286\/(-495). Determine v so that w*v**3 + v**2 - 2\/5 - 7\/5*v = 0.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5.306 + 0.306. Sort -0.03, 47, z, 0.4 in decreasing order.\nAnswer: 47, 0.4, -0.03, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*b + 11 + 2*b + b + 2*b - 3*b.\nAnswer: -3*b + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -5*t - 15, -2*t - 3*h = -6*h - 19. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 109215 and 3789.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 4:49 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5\/2  (b) -0.63  (c) -34\/321\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -168 = 783*v - 769*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -921 - -1823. Calculate the highest common factor of q and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23188*y**3 + 156849*y**3 + 112735*y**3.\nAnswer: 292772*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-4) - (18 + 9 + -27). Factor 0 - 1\/2*x**3 + x**2 - o*x.\nAnswer: -x*(x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -0.02, 102, 2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 5 = 0, -3*i + 37 = -5*o - 45. What is the remainder when 345 is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-450)\/40*16\/6. Let j = -32 - d. Let h(a) = -3*a**3 - 3*a**2 - a + 1. Give h(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -166143, -166124, -166105, -166086?\nAnswer: -166067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -242*f**5\/17 + 29810*f**4 - 1564910*f**3\/17 + 103590*f**2 - 853200*f\/17 + 8856 = 0 for f.\nAnswer: 6\/11, 1, 2091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 2*c. Let b be (-6)\/(6\/3) - -67. Let q(z) = -b*z + 64*z + z**2. Determine v(q(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 80044171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -160686*q**4 - 6159*q**2 + 3*q - 10 wrt q.\nAnswer: -3856464*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 790 + 37?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 42 + -24. Let q be (-4)\/k + (-20)\/(-9). Is 2 - q - -38*1 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 61 = 139. Let z = j + 64. Calculate the greatest common factor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0978 times -3\nAnswer: 0.2934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 763117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + 80144.453.\nAnswer: 80166.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 16?  (a) -0.1  (b) -1\/3  (c) -1\/5  (d) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/9 - (-116)\/36. Suppose -2*s - p*j + 2 = 0, 5*s - j - 22 = -0*j. Factor -1\/2*n**s - 2*n - 3*n**2 - 2*n**3 - 1\/2.\nAnswer: -(n + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2358074 is divided by 742.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3822 and 1352.\nAnswer: 198744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8381 and 197.22.\nAnswer: 1652900.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -413.95236, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jlw when three letters picked without replacement from wrjwwwrmrrrrrrmwrwl?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 19 = -2*h, 5*h - 2*p = 20 + 29. Suppose h = 4*b - 17. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a - 5. Let y be u(7). Suppose 7*r + 255 = 2*r. Let p be 45\/r - (-1)\/1. Sort 3, y, p in decreasing order.\nAnswer: 3, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -328*g**2 + 164*g + 128*g**3 + 1395*g**5 - 1431*g**5 + 18*g**4 + 78*g**4 - 24 = 0?\nAnswer: -2, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(2\/41)*u)**(-1\/11)*(u*u**(-1\/3)\/u*u)**(-4\/9) assuming u is positive.\nAnswer: u**(-5876\/12177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 - b - 1. Let u be ((-10)\/(-3))\/((-4)\/6). Let a = 34 - u. Let z be (-66)\/78 - 6\/a. Let c(x) = -1. Give z*c(n) + h(n).\nAnswer: -n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the second derivative of -2*z**2 + 7\/3*z**3 + 14*z + 1\/5*z**5 - 7\/6*z**4 + 0. Factor n(c).\nAnswer: 2*(c - 2)*(c - 1)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 63 - 29. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -194\/21?  (a) -15  (b) 1\/3  (c) 0.24  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 1086 + 346 = 5*s, -q = -5*s - 748. Let h = -297\/2 - s. Which is the third smallest value?  (a) 7\/3  (b) h  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and 3574.\nAnswer: 1072.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.19941 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*m + 7*m = 0. Suppose 0 = k - 13 - 31. Suppose -k + 12 = -4*x. Solve m = -2*z + x - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 50684*r**2 + 625*r + 16 wrt r.\nAnswer: 101368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1060650863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -57 or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 + 456*h + 50328. Give d(-272).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 48 + 2 - 107 - 28 - 60*o**2 wrt o?\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2271 is divided by 1127.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 + 14*o**2 + 8*o**2 + 48*o**3 + 54*o**3 - 104*o**3 - 2*o**2 - o in the form z*o**2 + c*o**3 + n + x*o and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - -4. Suppose l + r = 162. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 plus -2353122271?\nAnswer: -2353122270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 3*s = -9, -135*s - 6 = -134*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 - (-15 + 4)) + -9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -12*d**2 + 2. Let b(n) = -2*n**2. Determine b(g(h)).\nAnswer: -288*h**4 + 96*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*p + 143 + 347 = 0. Let r(x) = -x. Let b be r(-7). What is the greatest common factor of b and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1995668152?\nAnswer: 2, 31, 659, 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, l: 1, b: 3}. What is prob of picking 1 s and 1 b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 3*g + 55 = 0. Suppose g*n + 6559 = 16*n + 3*q, -3*n = 2*q - 3935. What is n rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 times 65\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -161*d**3 - 1286*d**2 + 9*d - 57. Calculate p(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 10, a: 6, z: 2}. Give prob of picking 3 w.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 333444?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -15527, -31414, -47673, -64304?\n\"Answer: -186*b**2 - 15329*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 18700773391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the first derivative of v**6\/40 + v**5\/40 + 2*v**3 - 2. Let j(o) be the third derivative of y(o). Find the second derivative of j(d) wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5106863?\nAnswer: 59, 101, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8 and 9843672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 28 and 180?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1573167191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*u + 801 = 837 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-14516)\/(-380) + (6\/10)\/(-3). What is the highest common divisor of q and 2774?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 71451 divided by 153?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.3  (b) 1\/4  (c) 1.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*r**4 - 26*r**3*v**2 - 13*r**3*v - r**2*v - 114*r**2 - 2*v**2 + 2*v wrt r.\nAnswer: -48*r - 156*v**2 - 78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 88850865 rounded to the nearest one million?\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 14, 31, 50, 65, 70?\n\"Answer: -u**3 + 7*u**2 + 3*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 585272.24 to the nearest 1000.\nAnswer: 585000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 18 = x - 3*d, x = -4*d + 11. Let c(m) = -2*m + 0*m**2 - x + 2*m - 3*m - 2*m**2. Give c(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/1224 and 131\/6.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.22+-14208\nAnswer: -14207.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -33010 - 441345?\nAnswer: -514355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of 1\/6*j**4 - 1\/15*j**3 + 4*j + 0*j**2 + 0 + 4\/75*j**6 - 4\/25*j**5. Suppose z(p) = 0. What is p?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 355625137 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: Let c(t) = -5*t. Let s(b) be the third derivative of 0*b**3 + 0 - 121*b**2 + 0*b**4 + 1\/6*b**5 + 0*b. Determine c(s(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*m + 124. Calculate the remainder when m is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 6:13 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/(((-812)\/21)\/(-29)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 + 4)*(-20)\/(-6). Suppose 4*x - m = 74. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 6*u**2 - 32*u + 16. Suppose 5*p - 4*f = 19, 3*p - f + 8 = 6*p. Let d(o) = 2*o**2 - 11*o + 5. Let q(b) = p*w(b) - 8*d(b). Find r such that q(r) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 613*n**3 - 546*n**3 + 538*n**3 + 602*n**3 + 179*n**3.\nAnswer: 1386*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 96 - 93. Let -1\/3 - d**2 - 1\/3*d**r - d = 0. What is d?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 0*n + n - 8, -y = n - 2. Let g be (1 + y)\/(-1 + -1). Let q = 5.0597 - 0.0597. Which is the smallest value?  (a) g  (b) q  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 7511819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = -u + 21, -11*i + 16*i + 5 = 5*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -2, -11, 696 in increasing order.\nAnswer: -11, -2, -0.2, 696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, i: 1, g: 5, p: 1, r: 3}. Give prob of sequence rcp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -2*j**2 - 3*j - 1. Let p(a) = -4*a**2 - 6*a - 2. Let t(d) = -d**2 + 15*d - 16. Let o be t(1). Determine o*p(z) + 5*h(z).\nAnswer: -2*z**2 - 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -20117 < -20116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 534 is divided by 512?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -5*i + 2*t, -i + 6 = -3*t - 0*t. Let u(f) = f + f - 10 - 3*f. Let q be u(-7). Put i, -4, q in descending order.\nAnswer: i, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 412112291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/4  (b) 0.4  (c) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27.21 + 27. What is u rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2032*q + 253*q - 101549 = -3704 for q.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 198*56.6.\nAnswer: 11206.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -156, -743, -1712, -3063?\nAnswer: -4796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1 + -0.2. Let i = 35\/6 - 10\/3. Which is the nearest to p?  (a) 0.3  (b) 1  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1280*z + 25 + 11 - 54 + 18.\nAnswer: 1280*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -43060000 to the nearest 1000000.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -652630986*i*n + 22422*n - 1682 wrt i?\nAnswer: -652630986*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 305942 divided by -5.\nAnswer: -305942\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 711886 and 1484?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(832) + -2)*-2*5 - -3*(1 + 3*sqrt(832))))**2.\nAnswer: -13248*sqrt(13) + 48996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**4\/7 + 340*k**3\/7.\nAnswer: -2*k**3*(k - 170)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 461*r - 103 = -3*l + 463*r, 0 = l - 10*l + 3*r + 294 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/7, 0.1, -15, 41, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bmm when three letters picked without replacement from {b: 4, u: 2, m: 5}?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q - 7. Suppose t + t - x - 4 = 0, -t - 2*x - 3 = 0. Let y be t - 1\/2*-14. Determine z(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 + 0 - -1) + (-5 + -6 - 2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14118 + -7172013\/508. Calculate the common denominator of t and 21\/10.\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.5 - 6.5. Let s = -21895 + 21897. Let k be 1 + -1 + 3\/15. What is the nearest to f in s, k, 5\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(38) - (sqrt(152)\/sqrt(4)*6 - sqrt(38)))\/(sqrt(224)\/sqrt(7)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/30 and -49\/1161.\nAnswer: 11610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3764\/5241 + 90\/1747. Let l = -0.4 - -0.7. Which is the biggest value?  (a) l  (b) n  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 48*a**2 + 485*a + 51. Let f be l(-10). Let y(h) = -h**3 + h**2 - 2*h - 2. Let z(w) be the first derivative of -w**3\/3 + 1. What is f*z(i) + y(i)?\nAnswer: -i**3 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 5*y - 12, -4*r + 3 = 5*y - 1. Suppose 0 = y*c + w - 24, 3*c - 7*c - 2*w + 28 = 0. Put -2, c, 3 in ascending order.\nAnswer: -2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**2 + 17*l + 8. Let m(k) = 2*k + 1. Let o be m(2). Let j(s) = s**3 - 5*s**2 + 6*s - 14. Let d be j(o). What is the tens digit of u(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5053141?\nAnswer: 71, 71171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v + 50 = 3*u, 0 = -24*v + 26*v + 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -147625*b**3 - 152062*b**2 wrt b?\nAnswer: -885750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 28011.74 - 28523. Let g = i - -503. What is g rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(-3\/10))\/o*o*o\/((o*o*o\/o**(-2\/3)*o*o*o*o)\/o))\/(o**(-9)*o*o**(-12)) assuming o is positive.\nAnswer: o**(469\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.1 + 1.9. Let v = -0.4 + 1.4. Let r = s - v. Which is the third biggest value?  (a) r  (b) -0.1  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t = -9*t + 100. Let l = 111 - 45. Suppose -l = -4*s + t. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 + 6. Let d be (-163)\/(-6) - w\/6. What is the second derivative of -27 - 6*f**3 + 3*f + d wrt f?\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21 + 25. Let z = 89 + 171. Suppose g*p - z = 56. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.39828 - 0.00172. What is the biggest value in c, 1, -0.91, -1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -159 + 55 + 60 + -19?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u = f, 3*f + 9 + 6 = 2*u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 + 2*m + 2. Suppose 444*i - 438*i = 18. What is o(i)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 179 - 122 = 19*b. Solve -u = -a - 6, 5 = -b*a + 5*u - 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 190237 is divided by 63407.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 15) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 16 + -2 - -137*10\/(-100)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bgbbbbbbggbbbbbgbg. Give prob of picking 2 b and 2 g.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37 - 37 - 13*p**2 + 4*p**3 + 13*p**2.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 53\/4 of a decade?\nAnswer: 1590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -24 + (542 - 539) + (25 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i**(-8)*i)*i\/i**0)\/(((i*i**(-2\/5))\/i*i)\/i)**(-1\/17) assuming i is positive.\nAnswer: i**(763\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 17.7 and -11171?\nAnswer: 11188.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5647 + -5563. Solve 45*b + h = 17*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 7*v**2 + 9*v - 9. Let q(i) = -4*i**2 - 4*i + 4. Suppose 43*f + 333 = 52*f. Suppose y - 14 = 2*s, y = 5*s - y + f. Calculate s*q(m) - 4*o(m).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (512\/(-640))\/((-1*2)\/450). What is the greatest common factor of 990 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z. Let h(x) = -109364476*x**2. Calculate h(m(k)).\nAnswer: -109364476*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -325506a - 5?\nAnswer: -3255073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 138 - 118. What is the lowest common multiple of 8 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p**5 + 312*p**4 + 3621*p**3 + 6310*p**2 + 3000*p = 0. What is p?\nAnswer: -300, -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2051607617 to the nearest integer?\nAnswer: 45295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 554 + 2596*z - 159 - 231 - 164 - 2721*z.\nAnswer: -125*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.143861km in millimeters?\nAnswer: 7143861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j + 3*j + 4. Solve -j*y - 5 = 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 5 = 5*r, 2*r + r = 5*y - 31. Let a = 12 - y. Calculate the smallest common multiple of ((-18)\/4 + 4)\/((-2)\/36) and a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2*n - n**2 + 5*n + 0*n**2. Let c(w) = -3*w**3 + w + 1. Let g be c(-1). Calculate the remainder when 23 is divided by j(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gglglglkttmtlggs. Give prob of picking 1 g and 1 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 176730 and 3520.\nAnswer: 62208960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -35, -35, -37, -41, -47, -55?\n\"Answer: -r**2 + 3*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -105 + 166. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -54 - -80. What is the remainder when 118 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -419bd (base 14) in base 9?\nAnswer: -261172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, 3, 18, -1 in descending order.\nAnswer: 18, 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -309*h - 300*h + 6*h**3 + 612*h.\nAnswer: 6*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2\/5, -37, 3 in descending order.\nAnswer: 3, 2\/5, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14315\/13 - -1101. Put 0.06, 0.5, a, 4 in ascending order.\nAnswer: a, 0.06, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*y + 27. Let d(w) = 7*w - 3. Let i be d(y). Let b = -19 + i. Solve 2*l + 2*l + b = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103050482.4 rounded to the nearest one million?\nAnswer: 103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2.2, -5216\/7, -3, -19?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1821718.25 - 1466154\nAnswer: 355564.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3860, -3853, -3842, -3827, -3808, -3785?\n\"Answer: 2*i**2 + i - 3863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1269035*u**3 - 2*u**2 + 1543313 wrt u.\nAnswer: -7614210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 185565.7ug?\nAnswer: 185.5657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-264*k - 137*k - 378*k)*((-1 + 1 + 2)*(1 + 0 + 1) - 3 - 3 + 4)*(3 + 1 + 0)*(3 - 2 + 0*k**2 - 4*k**2) in the form a*k**2 + c + s*k + g*k**3 and give s.\nAnswer: -6232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 104 = 0, -12*o = 5*o - 76*f + 75*f + 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c - 1. Let z be o(6). Let w = -1.1 - -0.9. What is the biggest value in w, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 35\/28 + 2 + -3. Sort 6, 3, m.\nAnswer: m, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the second derivative of -c**3\/3 - 6*c**2 - 3*c. What is the units digit of o(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2261 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-36))\/(135\/405).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1807*u**2 - 855*u**3 - 903*u**2 - 904*u**2 + 109*u**3.\nAnswer: -746*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5058651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 0*w + 2*c - 276 = 0, c + 537 = -4*w. Let m = 296 + w. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 3) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 - 2*n - 8. Let i be k(-6). Let o = 43 - i. Suppose -46 = o*j - 310. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 702299472?\nAnswer: 2, 3, 7, 2090177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -59860\/11 + 5446. Let x = -19736\/903 - 166\/129. Let u = x - -1894\/77. What is the common denominator of g and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.714 + 1.096. Round x to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 3. What is the units digit of (q - -4) + (3 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-159)\/(-12) - 3\/12. Suppose 0 = 5*a - 12 - w. Let u(b) = 6*b**3 + 6*b**2 + 2*b + 5. Let n(h) = h**3 + h**2 + 1. Determine a*n(i) - u(i).\nAnswer: -i**3 - i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 292 - 146. Calculate the remainder when i is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 4*z + 290 - 1006, 5*z - 907 = -2*d. Suppose 0 = 5*i - 5*m - 795, -m = i + 4*m - z. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 5, z: 4, c: 2}. What is prob of picking 2 c, 1 k, and 1 z?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, 2, -239, 0, -9 in descending order.\nAnswer: 5, 3, 2, 0, -9, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d**4 + 27*d**3 - 54*d**2 - 12*d + 72 = 0. Calculate d.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 2*i = 0. Let u(q) be the first derivative of -q**2\/2 + 53*q - 42. Calculate the remainder when u(i) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 254 = -d, -5*k + d - 93 = -519. Suppose r - 2*j - k = j, r - 2*j = 85. What is the remainder when r is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 11:12 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*w**2 - 15*w**2 - 3*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 153.3 in 7, -8\/21, 0.2, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 4 - 4)*(-429 - 27*t + 863 - 440 + (-3 + 3 + 2)*(-t + 0*t - t) + 0*t + 0*t - t) as n + b*t and give b.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n**5\/2 + 5*n**4\/2 - 3*n**3\/2 - 5*n**2\/2 + 2*n = 0. Calculate n.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107 = 5*l + 4*o - 16, 2*l = o - 26. Let m be (3 + -1)\/((-10)\/l). Solve m*n + 8 = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 - 11. Which is the nearest to -1?  (a) 4  (b) -2  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -7*o. Let r(x) = 5*x - 2. Determine m(r(b)).\nAnswer: -35*b + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -45, -5, 222, 0.02, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -34*u - 325. Give l(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -35*n**4*w - 1309*n**2*w**2 - 2*w**2 - 3*w + 2601 wrt n.\nAnswer: -140*n**3*w - 2618*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 21\/6 - 1\/(-2). Let n = 9 + -4. Put n, 3, m in decreasing order.\nAnswer: n, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 + 7*y**2 - 8*y - 7. Suppose m + 13 = 18. Let o be v(m). Differentiate 6*n**3 - 7*n**3 + 14 + 0 + 22*n**o with respect to n.\nAnswer: 63*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 16888705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00022554184 to 6 dps.\nAnswer: -0.000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fbffbfbbfbbffffbbb. What is prob of picking 4 b?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n\/(n*n\/(n*n*n*n**(-4\/7)\/n)))\/n)**(-6\/17)\/(n**(-3)\/n**7))**(-24\/13) assuming n is positive.\nAnswer: n**(-28128\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.46 and 9?\nAnswer: 8.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 27676288 and 36577.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1620 (base 11) to base 14.\nAnswer: -a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 472392\nAnswer: 94478.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = b - 11. Sort -16, 4, b in decreasing order.\nAnswer: 4, b, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 67193568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 11388 and 11389 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 5*m**2 + 8*m - 3. Give z(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1449.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m**2 + m**2 - 4*m**2)*(48 + 44 - 20).\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10, 26, 48, 76?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 - 28*j**2 - 61*j - 234. Let p be l(-26). Which is the third biggest value?  (a) -5\/7  (b) -13  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m - 3*m = 7560. Let j be (-7)\/(m\/1158) + (-2)\/(-15). What is the greatest common factor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 382870 is divided by 168.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the first derivative of 1\/3*v**3 + 1\/15*v**5 + 5 + 0*v + 1\/6*v**2 + 1\/4*v**4. Factor q(s).\nAnswer: s*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 148*y - 139*y - 117. Suppose 6748 = y*u - 3067. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/7*i**2 + 260\/7 - 132\/7*i.\nAnswer: (i - 130)*(i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16510e (base 15) to base 8.\nAnswer: 4075657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 272 is divided by 93?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6792, 6789, 6784, 6777?\nAnswer: 6768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 725, 1459, 2211, 2981, 3769, 4575, 5399?\n\"Answer: 9*f**2 + 707*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 62962609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the second derivative of a**5\/10 + a**3\/2 - a. Suppose -3*n = -457*v + 455*v - 11, 5*n - 4*v - 23 = 0. Let d(l) = -1. Calculate n*i(k) + 2*d(k).\nAnswer: -2*k**3 - 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -105, -142, -181, -222, -265?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*s - 0*s. Suppose -s*c + 446 = -198. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -171, -357, -555, -765, -987, -1221?\n\"Answer: -6*d**2 - 168*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -134, -312, -488, -662, -834, -1004?\n\"Answer: w**2 - 181*w + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -59.0578536 take away -2?\nAnswer: -57.0578536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 61751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 4*h + 1. Let x(i) = i**2 + 3*i - 6. Let z be x(-6). Calculate the remainder when y(z) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrmmrm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -429, -4287, -14823, -35397, -69369?\nAnswer: -120099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.2  (b) -0.3  (c) -15  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 338866?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2360 and 17995.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10870071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*f - 903 - 875 = -848 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least -103\/17653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -2*b, 3*b = -5*q + 6*q + 5. Let x be (2 + q)*((-7 - -4) + 4). Suppose 1\/4*d**2 - 1\/4*d**4 + 0*d + 0 + x*d**3 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h + d + 680, 5*h + 0*d - d + 690 = 0. Let b = h + 272. Calculate the greatest common factor of b and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -214.29 - -0.04.\nAnswer: -214.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 101151949, 202303898, 303455847, 404607796, 505759745, 606911694?\nAnswer: 708063643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1a37715a - 1?\nAnswer: -1a377160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 515 and 206?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 1 v when three letters picked without replacement from {x: 4, j: 2, v: 2, c: 1, i: 2, l: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 140196680 divided by -718\nAnswer: -195260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*l + 5*a - 221327 + 221287, -4*l + a + 4 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -3bcdc6 (base 15) to base 11\nAnswer: -169681a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 183632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 474944 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -325011 (base 6) in base 12?\nAnswer: -13767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*o**3 - 12*o**3 - 6 + 4*o**3 + 5*o**3 - 11*o**3 to l*o**2 + q*o**3 + i + k*o and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20102100101 + -10?\nAnswer: -20102100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 347 + 349 - 696 - 18*q**2.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 163, 393, 621, 847, 1071, 1293?\nAnswer: 1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.871 * 80270\nAnswer: -69915.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3.4  (b) 1  (c) 13  (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.39 - 0.19. Let a = -0.02 + 0. Let b = a + 0.42. What is the nearest to -0.2 in 1, f, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*f**3 - 75*f**3 - 8*f**3.\nAnswer: -110*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.63?  (a) -1  (b) 1\/51  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5094438*d - 377956 with respect to d.\nAnswer: -5094438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 4  (b) -2  (c) -5\/10141  (d) -0.2  (e) 0  (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -4  (b) -6  (c) 22  (d) 1\/6  (e) -77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by -993.\nAnswer: -10\/993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/18 and 67\/204?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -2*m + 4. Let j(w) be the first derivative of -w + 1\/2*w**2 + 3. Determine -i(a) - 4*j(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -181114\/9 - -20124. Let r(v) be the first derivative of -d*v**3 + 1\/3*v**5 - 12 + 0*v**2 + 0*v + 1\/4*v**4. Factor r(m).\nAnswer: m**2*(m + 1)*(5*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*j**4 - 2284*j**3 + 89153*j**2 - 230478*j - 49680 = 0. Calculate j.\nAnswer: -1\/5, 3, 40, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 192797, 192750, 192689, 192608, 192501, 192362, 192185, 191964?\nAnswer: 191693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00528496 to four dps.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(4092\/6872) + 4\/(-12). Let p = -1440589\/42966 + r. Let w = 20\/63 - p. What is the common denominator of w and -113\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*r - 11. What is the remainder when 4\/(-10)*(-41 - (-54)\/9) is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 70488 and 26465307.\nAnswer: 2937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4e5 + -693e?\nAnswer: -6449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4484155 and 650?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 590906069 to the power of 1\/2, to the nearest integer?\nAnswer: 24309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -77196 to the nearest one thousand.\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z - 14 = 6*z. Suppose z*t - 24 = t. Suppose 8*f - t*f - 216 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -7*a**4 + 70*a**3 - 127*a**2 - 20*a. Let o(r) = -8*r**4 + 70*r**3 - 126*r**2 - 24*r. Let k(s) = 5*o(s) - 6*y(s). Factor k(w).\nAnswer: 2*w**2*(w - 33)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6  (b) 4  (c) -3  (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -106298381, -212596763, -318895145, -425193527?\n\"Answer: -106298382*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 374144.\nAnswer: 2, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*p + 0*p + p)*(0*p + 2404 - p - 2269) in the form m*p**2 + g + q*p and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 - 7*y**2 - 4*y + 5. Is v(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30 and 70\/10 + 24 + -1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17 - (0 + 3 + -2)) + -26 + 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 58 by 61.\nAnswer: 58\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -818 (base 12) to base 3.\nAnswer: -1121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5*-5*(-8)\/100. Let h(v) be the second derivative of 0 - v + 1\/21*v**3 - 5\/42*v**4 + 3\/70*v**5 + 1\/7*v**f. Find z such that h(z) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 PM and 8:23 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 2*g**2 + 4*g + 1. Let a(j) = -j**2 - 18*j - 24. Let s be a(-16). Suppose -2*p - 3*t + 6 = 29, -3*p + s = -4*t. Determine z(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 + 29 + -1 - (0 + -23).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 71, -0.4, 27?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3534 (base 7) to base 5.\nAnswer: -20144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4001431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 114210034 (base 6) to base 8\nAnswer: 10200546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000004688 rounded to seven dps?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -288 + k**2 + k**3 + k**4 - 270 + 579 to the form b + w*k**4 + u*k + f*k**2 + j*k**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -299 - -259. Let w be -8*(-21)\/30 - (-24)\/f. Solve -w*d + 20 = v, 0*v + v = 2*d - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -103692, -103798, -103900, -103998, -104092, -104182?\n\"Answer: 2*d**2 - 112*d - 103582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + 1. Let z be (-2)\/(-2) - (-9)\/(-450)*10. Which is the closest to w?  (a) z  (b) 0.3  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 44 = -z - 8, o = -5*z + 12. Solve -u + 4*u - 6 = c, 0 = -4*c + 5*u - o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 14*y + 2147. Let d(f) = 2*f**2 - 579*f + 1. Determine x(d(n)).\nAnswer: 28*n**2 - 8106*n + 2161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -152, -363, -706, -1247, -2052, -3187?\n\"Answer: -11*y**3 - 134*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 - (18 + 1 + -26) - 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4 + 3\/(-3) - 3. Let g = -264 - -254.6. Let c = g - -9.1. Sort z, c, 2, 0.4 in increasing order.\nAnswer: c, z, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2.41, -2, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2 - (-118)\/2) + -4. Let t = 66 - r. Let a = -32 - -34. Solve 0 = a*n - d + t, -3*n - 2*d = -7 + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -61 + 10. Let w = 10 - b. Let g = -61 + w. Solve g = -0*m - m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14200953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.81 + 0.19. Let x = -5 - -14. Which is the smallest value?  (a) -4\/7  (b) o  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 16775, 16776, 16777, 16778?\n\"Answer: v + 16774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.2 - -0.3. Let f = 16.2762 + -19.2762. What is the closest to c in 1\/2, 4, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 602\/(-1848) + (16\/6)\/(-4) and -61\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*c**2 + 429*c - 429*c - 6.\nAnswer: 29*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the second derivative of 38*w + 0 + 0*w**2 + 11\/12*w**4 + 0*w**5 - 19\/21*w**7 + 0*w**6 + 0*w**3. Find the third derivative of x(z) wrt z.\nAnswer: -2280*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the third derivative of -t**6\/90 + t**4\/4 - 17*t**2. Let i(n) be the second derivative of v(n). What is i(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + x - 68 = 0, 0*x = -3*w - 4*x + 34. Find the first derivative of -13 - 2*o - o + w wrt o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 less than 49859?\nAnswer: 49876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**2 + 7*a - 6. Let j be q(-8). Suppose 4*l + 2*r - 1080 + 780 = 0, -5*l - 5*r = -380. What is the second biggest value in l, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -544445*c**2 - 2*c - 1. Suppose 24 = 5*k - 6. Let y be k\/(-2) - 0\/1. Let g be x(y). Round g to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*p**3 + 20*p + 8*p**3 + 9*p**3 - 7*p wrt p.\nAnswer: 84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 3*g = -9, 0*f - 5*f - 15 = -5*g. Let j = 394 + -392. Suppose -3 = w, f = -6*u + j*u + w - 5. Sort -3, -1, u in increasing order.\nAnswer: -3, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -14*y**3 + 5*y**2 + 225*y + 5. Let d(j) = -9*j**3 + 3*j**2 + 114*j + 3. Determine 3*c(n) - 5*d(n).\nAnswer: 3*n**3 + 105*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 71 and 54599.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 28284 and 221558?\nAnswer: 1329348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 36464956 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 250*j**2*m**3 - 2*j*m**3 + 7*j*m**2 + 4 wrt j.\nAnswer: 500*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6 - 10 + 0 + 7 + 14*m + 1 + 58*m**5 wrt m.\nAnswer: 1160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 5*d + 68, d = 3*h - 3*d + 166. Let u(c) = 43*c - 3. Let t be u(3). Let q = h + t. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s - 4*s + 7*s. Let l(g) = 7*g + 1. Calculate 5*k(r) - 3*l(r).\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 38092 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -26*t - 35 - 14*t + 55*t with respect to t.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 96 and -0.2.\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4303*a + 2175*a + 2128*a + 4*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4671*b**2 + 34*b**3 + 4671*b**2 - 10077 + 20157 - 10080.\nAnswer: 34*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/2448 and -79\/3672.\nAnswer: 7344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 - -11. Suppose -4*f - 20 = -p, p - 8 = f - q*f. Calculate the remainder when p is divided by -1*((-1)\/(-1) + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-2*-1*sqrt(84) - 2*(sqrt(84) + 2*sqrt(84)))\/(sqrt(300) + 3*(sqrt(300)*4 + sqrt(300)) + sqrt(300)).\nAnswer: -4*sqrt(7)\/85 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 605 = -104*l - 45*l, 35 = 5*x + 13*l - 8*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of -7*m**3 + 134. Let j(a) = -5*a. What is j(b(t))?\nAnswer: 105*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -985*v**2 + 341*v**2 - 2485*v**2.\nAnswer: -3129*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-1\/5)\/x*x\/(x*x*x**(-7))*(x\/(x**5\/x*x*x))**(-3\/8) assuming x is positive.\nAnswer: x**(267\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/4, 57, 0.3?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 472*s**5 + 7*s**3 - 475*s**2 + 7*s - 7. Let c(y) = -y**3 - y**2 - y + 1. Let r(p) = -a(p) - 7*c(p). What is the third derivative of r(m) wrt m?\nAnswer: -28320*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(60) + (sqrt(60) + sqrt(960))*5)\/(sqrt(12) + -4*-4*sqrt(12)))**2.\nAnswer: 3380\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 not equal to -668739.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 19 = -z, -4*z - 7 = 2*s + 1. Let a be (s\/(-60)*2)\/((-1)\/(-2)). Suppose -4*l + l = -3. Sort a, l, 2.\nAnswer: a, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 34 - -103. What are the prime factors of v?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 - 6*q + 9. Let s be r(7). Suppose 2*k + 3*p + p = -s, -11 = 2*k + 3*p. Which is bigger: 4\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of 112*b**6 + b**2\/2 - 275*b + 614. What is the second derivative of v(x) wrt x?\nAnswer: 13440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of 2*u**6\/15 + 178*u**5\/5 - 364*u**4 + 4400*u**3\/3 - 2944*u**2 - 5513*u. Solve y(k) = 0.\nAnswer: -184, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10 - (-4)\/(4 + -8). Suppose r = -t + m, 6*t - 2*r = 3*t + 2. Solve -3*q - w = -17, w - 5 = q - t*w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*2\/24)\/(-407*(-87)\/(-2871)).\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -131*h + 33524. Let v(o) = -o**2. Give t(v(f)).\nAnswer: 131*f**2 + 33524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/19, -194, 3\/2, 0?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(108) + sqrt(3))**2 + sqrt(3) + sqrt(33)\/(sqrt(77)\/sqrt(7)).\nAnswer: 2*sqrt(3) + 867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -18139.73 rounded to the nearest ten?\nAnswer: -18140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -60, -0.3, 44384?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1071174603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 1, -18, 2 in ascending order.\nAnswer: -18, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l**4 + 2 - 2)*(14 - 1 + 23)*(1 - 1 + 4)*(0 - 5 + 0 + (0 - 1 - 2)*(3 - 6 + 4) + 1 + 3 - 6).\nAnswer: 4320*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 366994\/275241 - 2\/91747. Find y, given that 0 + 16\/9*y + n*y**3 - 8\/3*y**2 - 2\/9*y**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 3*r**2 - 3*r - 3. Let p be o(4). Let d = -8 + p. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 125\/12516 and -95\/16688.\nAnswer: 50064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 4*k**2 + 2*k + 30. Let u be j(-5). Let h = -122 + u. Calculate the common denominator of 19\/10 and (h\/4)\/((-15)\/(-162)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 322\/9 or 8?\nAnswer: 322\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2531 + 2533. Solve 3*b - 2 = -5*t + t, -4*b + v*t + 10 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -60*m**4 + 132*m**3*x + m*x - 2518*m - x + 3 wrt m.\nAnswer: -720*m**2 + 792*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1 + -5)\/((-12)\/508)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19*f**5 - 255*f?\nAnswer: 380*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/228 and -29\/380.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-9)\/(-3)*22\/(-6). Let q = p + 8. Let h(s) = -14*s - 9. Is h(q) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-1 + sqrt(52)\/sqrt(4) + sqrt(832) + -1 + -1)*1.\nAnswer: -18 + 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -28\/27 and 71\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 + 2. Let c be (-5 - -3) + (1 - h). Calculate the lowest common multiple of (-18)\/c*(-32)\/(-12) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-17)\/(-2) - 21\/14. Let v(h) = -7 + 12 - h**2 + 5 + n*h. Is 8 a factor of v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 AM and 12:42 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*u - 25*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -25*q**2 + 5. Let m(c) = -51*c**2 + 10. Let h(j) = 3*m(j) - 7*u(j). Differentiate h(y) wrt y.\nAnswer: 44*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.19461 - 1.09439. Let k = o + 0.9. Round k to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 20 + 2 = x, 5*x + 4*f + 6 = 0. Let b(z) = 7*z**2 + 2*z**2 - 3*z**x + 2*z**2. Let j(w) = w**2. Calculate b(g) - 5*j(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**13)\/(f\/(f*f**(-15)*f*f*f*f)*f))**(-23)*(f\/(f*f**0\/f))**44*(f**(-1)*f)\/(f*((f*f*f*f\/(f*f\/f**(-3))*f*f)\/f)\/f) assuming f is positive.\nAnswer: f**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2640e5 + 1a?\nAnswer: 264110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*o + 99 = 5*w + 604, -3*w - 13*o + 23*o = o + 330 for w.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times -1.8667?\nAnswer: -0.56001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/21 + (-114)\/189)\/(4\/36)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000010465 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 10 = -0*o. Suppose 0 = o*c - 2 - 8. Suppose c*t - 3 + 1 = 0, -2*n = -2*t - 30. Calculate the highest common factor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0.1, -28555\/19 in ascending order.\nAnswer: -28555\/19, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(26)\/sqrt(2) + -2 - (sqrt(1872) + (sqrt(1872) - sqrt(1872)*-1))**2.\nAnswer: -16850 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 212, 1554, 5190, 12266, 23928, 41322, 65594, 97890?\nAnswer: 139356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1453475 (base 12) in base 13?\nAnswer: b03021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.138 - -1.2. Let l = q - 0.532. What is l rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.9 + -1.8. What is the second smallest value in -7, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r + 3*r - 6*r)*(2 - 2 + 2*r) + 7 - 136709*r - 133784*r - 3*r**2 + 273106*r.\nAnswer: -r**2 + 2613*r + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 9:06 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 87518 + -47148. What is t rounded to the nearest 100?\nAnswer: 40400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*v**4\/3 + 368*v**3 + 16488*v**2 - 102224*v\/3 + 17220 = 0. Calculate v.\nAnswer: -41, 1, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 16643 (base 8) to base 4\nAnswer: 1312203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12 and 898512?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1099*o - 1101*o + 538 = 0. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the second derivative of -s**5\/20 - 7*s**4\/12 + 7*s**3\/6 - 13*s**2\/2 - 15*s. Let l = -63 - -54. Calculate the remainder when x(l) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**4 + 3*s**4 + s**4 + s**3 + s**4 - s**3 + (s**3 + s - s)*(0*s - s - s) - 2 - 2*s**4 + 2 + 0*s**4 + 4*s**4 - 2*s**4.\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 120 - 987.\nAnswer: -867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 362123470 by -10.\nAnswer: -36212347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-99*z**2 - 4607 + 4607)*(3 + 3 - 7 + 5 - 3 - 3 + 0 + 1 + 1 + (-4 + 1 + 1)*(-5 + 2 + 1) + 0 + 2 + 0 + 4 - 5 + 3)*(6 - 2 - 5)*(1 + 2 + 1)*(z + 4*z - 3*z).\nAnswer: 6336*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * -0.254\nAnswer: 0.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8\/89 + -250\/801. What is the closest to 1\/3 in 5, 1\/4, f, 9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j + 203 = -627. What is the remainder when j is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 - 44 - 53 + y**2 + 0*y**2.\nAnswer: y**2 - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-3 + 5 + (-2*(0 + sqrt(175) - sqrt(175)) + 3*(0 + sqrt(175)) + sqrt(175))*-6))**2.\nAnswer: -7680*sqrt(7) + 1612864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i**2 + 8*i + 11. Let p = -17 + 6. Let j(v) = -v**2 - 3*v - 4. What is p*j(s) - 4*k(s)?\nAnswer: 3*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 6) + (127 - 118) + (19 - -2)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -7, 2, 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3128 divided by -1564.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1424c0 (base 14) to base 2.\nAnswer: 10101010011001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -152606800 to the nearest 100000.\nAnswer: -152600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v**3\/7 + 2942*v**2\/7 - 20460*v\/7 - 52704\/7 = 0 for v.\nAnswer: -2, 9, 1464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 2 = -i. Let y be 23\/i - (-9)\/27. Suppose -k = -5*k + y. Solve -5*t + 3 = -3*q - t, -5*t + 9 = -k*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-1\/3)*d*d*d**(-8\/7) assuming d is positive.\nAnswer: d**(11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2 + 1)*(-4*p + 3*p + 0*p) - 158*p + 116*p + 107*p in the form s + w*p and give w.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-261*(-15)\/(-4050))\/(54\/(-648))?\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -96.4 in -3, 4, 0.143?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 81.63 - 76.087. Let j = 5.5 - s. Let b = -2.093 - j. What is b rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 3) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27 - 7 - 9) + (-71 - -87) + 0 + 103?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1235, 1, -1\/3, 167?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.1287 - -0.0713. Put -2, t, -0.05, 3 in ascending order.\nAnswer: -2, -0.05, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*h + 117 = 10*h. What is the remainder when h is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 148865.98 and 3.332?\nAnswer: 148862.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -4  (b) -3  (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 6*k = -8. Let s(c) = 6*c**2 + 2*c - 11. Let f(q) = -4*q**2 - q + 7. Give k*f(l) - 5*s(l).\nAnswer: 2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 948 and 6399.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 6, l: 5, h: 2}. Give prob of sequence hkkh.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 32*p**3 + 4*p**2 - 14*p - 7. Let s(t) = -31*t**3 - 4*t**2 + 11*t + 6. Determine 4*l(h) + 5*s(h).\nAnswer: -27*h**3 - 4*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*h**2 + 0*h**2 + 4*h**2)*(2*h**2 + 0 + 0 + (3*h - h - h)*(-4 + 4 + h)) - 2*h**4 - 3*h**4 + 2*h**4 to b*h**2 + n*h**3 + l*h + r + u*h**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 26*a - 6. Let j be u(1). Solve 3*t + j = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 + 5*x**2 + 3*x. Let v be t(-3). Let s = -8 + v. Suppose 4*f + 12 = 0, 2*r + 0*f - 8 = 2*f. Solve 0*h - l + s = -3*h, h + l = r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2859.5 - 3221.52. Let l = -362 - p. Round l to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from exumwwmxwmmurmm. Give prob of picking 4 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 15 = -0*u. Let s = u + 7. Is (-381)\/(-12)*s\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of t**5\/10 + t**4\/12 + t**3\/6 + t**2 - 5*t. Let o = 7 - 5. Is r(o) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 + (-22 + -31 - -7) - -8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 - 12. Let q = z - -20. Let g = q - -10. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -411*p**4 + 230346*p**3 - 4531553 wrt p.\nAnswer: -1644*p**3 + 691038*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.05 - 0.05. Let x = 1.099943 + h. Round x to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -4  (b) 0.96  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 404.1 + -404. Which is the closest to -0.1?  (a) -2  (b) y  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o**2 + 187*o + 1053. Let d be t(-6). Solve -17*f + 4 = 4*m - 19*f, 0 = 2*m - d*f + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dodo when four letters picked without replacement from xoddxo.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 77*u - 429. What is the hundreds digit of v(30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < -10\/601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 484147 is divided by 47207.\nAnswer: 12077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -34*r**2 + 3920*r - 3924. Determine w(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 9 - 9 = 0. Let v be 1\/(-3) - 10\/j. Let a be (1 - v)\/(-3) - -2. What is the third biggest value in 2\/7, a, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244417972 to the power of 1\/3, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 25285 - 25285 - 95*l**5 + (-2*l + 5*l - 2*l)*(-3*l**4 - 5*l**4 + 3*l**4).\nAnswer: -100*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -160.2525 to 0 dps.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/21)\/((-1)\/(-14)). Suppose -8 = -0*i - 4*i. Which is the third smallest value?  (a) y  (b) i  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3166*o - 1717*o - 1634*o.\nAnswer: -185*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(3\/5)\/(g*((g**(1\/5)\/g)\/g)\/g)*((g*g**(2\/9)*g)\/g)**7)\/((g**(-1\/3)*g)**(6\/17)*g\/(g\/(g\/g**(1\/9))*g)*g**(5\/2)) assuming g is positive.\nAnswer: g**(4249\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 198*d + 158*d - 304*d + (2 - 5 + 1)*(-3 + 3 + d) + (-3 + 4 + 0)*(d - 1 + 1).\nAnswer: 51*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -28  (b) 117  (c) -5  (d) -73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2*(495\/6)\/(-5) + 1. Let l(c) = -130*c - 175. Is l(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-12)\/(c\/c**(-2\/7))*(c*c*c**(-2\/15))\/((c**(-12)*c)\/c) assuming c is positive.\nAnswer: c**(61\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**2 - 14*f - 1. What is i(7)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -8*u + 64. Let m be j(0). Suppose -20*o = -216 - m. Solve 4*q + 6 = -o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 55 = -0*c. Let v = -183 + 183. Suppose 0 = -v*k + k - 4, -k + 132 = 2*h. What is the remainder when h is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**2 + r - 2. Let o be n(0). Let g = o - 1. Let a(z) = z**3 + 4*z**2 + 2*z - 2. Let d be a(g). What is the greatest common factor of d and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5685 and 125?\nAnswer: 142125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 28*l - 23*l - 5*w - 1805, w = 2*l - 725. Calculate the least common multiple of l and 32.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00167987548 to five decimal places.\nAnswer: -0.00168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -640.5 - 108.5. Let d = 751 + c. What is the closest to -5 in d, -4\/7, -1\/4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the first derivative of -2*u**3\/3 - 1. Let q(a) be the third derivative of 2 + 2*a**2 + 7\/60*a**5 + 0*a**4 + 0*a**3 + 0*a. What is o(q(z))?\nAnswer: -98*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*l**4 + 5*l**3 - 485350 - 318*l + 2*l**2 + 0*l**2 + 3*l**4 + 485349 as a*l**3 + v*l + r*l**4 + y*l**2 + b and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(1\/2)\/u*u)**40*u**0\/u*u**(-3\/7))\/((u*u**4)\/(u\/u**(-2)*u*u)*((u*u\/u**0)\/u)**(-33)) assuming u is positive.\nAnswer: u**(361\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 4:56 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffffblfnnfbfixf. Give prob of picking 1 f, 1 b, 1 x, and 1 i.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/3  (b) -1\/4  (c) 0.3  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = 4*u - 5*k - 4711, -3*k + 4751 = 4*u. Suppose 0 = 8*d - 552 - u. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 626 = -2*g - 2*g, -2*g = -5*h + 1589. Let n = h - -41. Suppose -6*t = -11*t + n. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17283?\nAnswer: 3, 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of s**7\/10080 + s**6\/2880 - s**4\/4 + 3*s. Let i(b) be the third derivative of o(b). Factor i(a).\nAnswer: a*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8761 bigger than 8760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 235, 473, 705, 925, 1127, 1305, 1453?\nAnswer: 1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2596 = -15*c - 1244. Let y be (c\/24)\/16*1224*5. Round y to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 10*f - 7. Suppose -35 = v - 6*v. Let d(c) = 2*c - 5*c + 5 - 3. Calculate v*d(q) + 2*x(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the first derivative of 1066*x**5\/5 - x**2\/2 + 5689*x + 3554. What is the derivative of l(v) wrt v?\nAnswer: 4264*v**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*m = 393 + 127. Let t be (-2)\/10 - 83352\/m. Is (6\/(-24))\/(1\/t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 466538 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -1 + -1 + 1 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 2*b + 29184. Let v(q) = -7*q - 5. What is z(v(o))?\nAnswer: -14*o + 29174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 6. Let r be 3*(3 + -4) - (-82)\/26. What is the smallest value in m, -2\/11, r?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3, -2\/11, -2\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8576 and 768.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**2 - 139*b - 2617. Let p be l(-19). What is the highest common divisor of p and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -26870928 by -1679433.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 309826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 2461 + 12041 = 4*q, 5*q - 5811 = -2*u. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/23700 and 59\/270.\nAnswer: 213300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -11100325 to the nearest 10000.\nAnswer: -11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1323*a**3 + 8807463*a**2 - 1677576*a + 79884.\nAnswer: -3*(a - 6657)*(21*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 642 divide 1904508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 33 and 348?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3171 - 3141. Calculate the highest common divisor of 486 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.8939533 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + 8*f**2 + 8. Let k be w(-8). Suppose -2*n - k = -26. Suppose -l + n = -0. Calculate the highest common factor of 45 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -10652, -22281, -34898, -48503, -63096, -78677, -95246?\n\"Answer: -494*x**2 - 10147*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -19565 (base 15) to base 4\nAnswer: -110010230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 10) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -486877 (base 11) to base 5.\nAnswer: -144122440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 31 + -4. Suppose -2*d - 4*d + 54 = 0. Calculate the highest common divisor of d and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*a**4 + 13330*a**3 - 119862*a**2 + 359478*a - 359424 = 0. What is a?\nAnswer: 3, 6656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 11175, 27258, 43341, 59424?\n\"Answer: 16083*j - 4908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -9*n**3 + 2*n + 5. Let k(m) = -4*m**3 + m + 2. Let o = 10 + -5. Suppose 29 = o*u - 16. Let v be (-3)\/u - 14\/3. Determine v*k(h) + 2*p(h).\nAnswer: 2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 3502*z + 27. Is b(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in -3\/175, -0.5, -2\/5?\nAnswer: -3\/175","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 6*q - q. Let p(c) = 5*c**2 + 4*c. Let n(m) = m**2 + m. Determine q*n(h) - 2*p(h).\nAnswer: -h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -5, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -3 - (1 + 1) - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -18562189*r - 13930971.\nAnswer: -18562189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*f - 3*f. Suppose f = -j - 7 + 11. Suppose -3*v = -0*v - 15, j*v = o + 23. Put 5, o, 1 in decreasing order.\nAnswer: 5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 271939 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**3 - 111585*o**2 - 50742720*o - 5711283200.\nAnswer: 5*(o - 22765)*(o + 224)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (394\/(-220))\/((-22)\/1375). Let c be (-4)\/(-6)*(-2730)\/16. Let u = c + v. Find the common denominator of u and 52\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 141*q**3 + 360*q**2 - 243*q + 39. Let s(u) = 2*u**3 - u**2 + u - 1. Let p(o) = l(o) + 3*s(o). Factor p(v).\nAnswer: 3*(v + 3)*(7*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 499 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 - a + 9)*(0 - 5 + 1)*(-8 + 4*a + 8).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 16237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.5791 - -1.545735. Round y to 3 decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8914658\/25 equal to 356585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 90 and 75565944?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the third derivative of -r**6\/120 - 77*r**4\/24 - 247*r**3\/3 - 15*r**2 + 2*r. What is the derivative of f(s) wrt s?\nAnswer: -3*s**2 - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -87*j - 10*j**2 + 29*j**2 + 87*j - 17*j**2. Let x(z) = 2502*z**2. Calculate s(x(p)).\nAnswer: 12520008*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the first derivative of 129*a**5\/5 - 143*a + 233. What is the derivative of i(h) wrt h?\nAnswer: 516*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 - 9*o + 4. What is the tens digit of r(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4*(27\/(-6))\/(-3). Suppose 2*t - j - 4 = 0. Suppose -3*b + 5*b + 40 = 2*x, -b = t*x - 94. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6b7a4a + -1?\nAnswer: -6b7a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -56*h - 197 + 7 + 78 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -1. Suppose -5*w + 18 = -112. List the prime factors of (1\/2 + f)*w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 95, 281, 587, 1013, 1559, 2225?\n\"Answer: 60*t**2 + 6*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 19335150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14.438973 milliseconds to minutes.\nAnswer: 0.00024064955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 74*w + 85*w + 0 - 2 in the form m*w + z and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1025641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 415285 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -a - 6. Suppose -2*y = -4*k - 34, -2*k + 3*k + 28 = 2*y. Suppose -w = 3*w - b - y, -w = -a*b - 7. Solve -w*g + 2 = -4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 5*g - 23 - 32, 5*g - 2*w - 55 = 0. List the prime factors of (9 - g)\/(1\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 730*x - 48 + 294*x + 44 to the form w + z*x and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, 13, -4 in decreasing order.\nAnswer: 13, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 3 + w**2 - 4 - 5*w - w**2 - w**2. Let n be v(-4). Suppose n*a - 6 = -2*m, a - 2*m = -a + 14. Solve l - a = 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 16692020, 16691929, 16691850, 16691789, 16691752, 16691745?\n\"Answer: x**3 - 98*x + 16692117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -2*v + 4*v. Let g(h) be the second derivative of -h**5\/20 - h**4\/12 + h**3\/6 + 3*h**2\/2 - h. What is the remainder when 5 is divided by g(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes before 12:21 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -183, 2, -2, 0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40 - (-3 - (27 + -13)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 7:06 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -7*k**3 - k - 4. Let q(x) = -18*x**3 + 15*x**3 + 0 - x - 2. Let j(a) = 5*q(a) - 2*u(a). Let f(z) = -z**2 + 12*z - 22. Let i be f(10). Determine j(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/2)*h)\/h)**(-1\/12)*h**0*h**0\/h assuming h is positive.\nAnswer: h**(-25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 34*1.5327\nAnswer: 52.1118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 74, -104, -23 in decreasing order.\nAnswer: 74, -23, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -57513180 rounded to the nearest one million?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/13 and -49\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5471420411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 6*a - 5*x - 124 = 0, x + 692 = 5*a. Let d = -34 + a. Let g = 143 - d. Is 39 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61457986 is divided by 226?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2*1*(-3)\/6 - 7. Suppose -5*x + 14 = -k - 1, -2*x = 4*k + 16. Is 471\/a*(k - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1383 a factor of 16553495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + 3. Let o = c - -0.2. Let k = o + -0.1. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -21.9 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2 - v. Let j(p) = 7*p**2 + 24*p + 40. Let z(w) = j(w) + 6*q(w). Let f be z(-26). What is the highest common divisor of 31 and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -14*c + 17*c. Is 11 a factor of c\/3*-3*(27 + 16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -22, 17 in increasing order.\nAnswer: -22, -0.2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 23*l - 116. Let x be p(5). What is the nearest to x in 3, -0.1, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 7*t - 2. Let b(a) = -a + 1. Let f(x) = -6*b(x) - c(x). Give f(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98869?\nAnswer: 98869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 4705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 25901, 51784, 77651, 103502, 129337?\n\"Answer: -8*r**2 + 25907*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2679915 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 2*d**3 - 13*d**2 - 6*d + 98. Give o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/a**(-38)))\/a*a*a*a\/a**(1\/16) assuming a is positive.\nAnswer: a**(-577\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (199*p - 1 + 5147*p + 6281*p + 1)*(-p**3 + 2*p**3 + 0*p**3).\nAnswer: 11627*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*p + w + 2345 - 2501 = 0, w = 2 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/((b\/((b*b**1*b)\/b))\/b)*b**(3\/4)\/b)**21)**(2\/35) assuming b is positive.\nAnswer: b**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 2*p - 96 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 124, 122, 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 8*g**2 - 7*g - 39. Let f(m) = 7*m**2 - 6*m - 39. Let r(x) = -7*f(x) + 6*w(x). Let n be 1*-3 - 24\/(-8). Is r(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 + 4*y - 3. Let v be z(-5). Let p(w) be the first derivative of v - 5 + 0 - 2*w**2 - 2. Let t(u) = -u**2. What is t(p(c))?\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 117.11184 months to centuries.\nAnswer: 0.0975932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sdsjujusuzjusd. Give prob of picking 1 d, 1 z, and 1 j.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(3\/7))\/b)**(-7) assuming b is positive.\nAnswer: b**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 - 8*u - 7. Let f be h(-6). Let l be (15\/(-9))\/(2\/(-6)). Suppose 0 = -5*x - 0*x + l*y + 15, 4 = -y. Put x, f, -2 in decreasing order.\nAnswer: f, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2742035972 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 18659845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 14*s**3 + 79*s**2 - 148*s - 699. Determine a(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -13*p**3 - 4*p**2 + 3. Determine h(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 63781473?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32 + 6*r**3 - 42 - 45 + 55.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x*x**(-1)\/x)\/x)\/(((x\/x**10)\/x)\/x))**48*(x**(-10)\/(x\/x**1))**(-5) assuming x is positive.\nAnswer: x**530","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, -1, -5, 122, -27, 3.\nAnswer: -27, -5, -4, -2, -1, 3, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 36.61 - 33.4. Round g to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 0*j = -3*j - 267, 0 = -2*t - 4*j + 574. Let c = t + -78. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 80.6 + -68. Let o = i + -13. Which is the closest to 0.4?  (a) 3  (b) 3\/2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.04?  (a) -3  (b) -8  (c) 3  (d) 1487.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.2382 + 0.231. What is a rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6\/(-2))\/(-1*1). Suppose g*w = 4*w - 1. Let v be -7 - (-7 + (-3)\/(-12)). Which is smaller: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*p + 498642 = -38643. List the prime factors of p.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zrujavu. What is prob of sequence uv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2452834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -23*h**2 - h + 118. Let b(j) = 34*j**2 + 21*j - 84 - 93 - 20*j + j**2. Let r(t) = 5*b(t) + 8*x(t). Differentiate r(g) with respect to g.\nAnswer: -18*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10594.82393 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -266\/5 - -53. Let x = 0.7 + -0.2. What is the nearest to -5\/6 in 2\/3, x, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*g**3 + 2*g**2 + 15*g**3 + 0*g**2)*(g**2 + 2*g**2 - 2*g**2).\nAnswer: -2*g**5 + 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/12)\/((-1)\/(-16)*14). Which is the fourth smallest value?  (a) -67  (b) 0.2  (c) w  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2352 - 2348. Calculate the least common multiple of 84 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1634262 divided by -50\nAnswer: 817131\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3780\/588 - (-1 + 4)\/(-42).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9 + 2*d**2 - 328*d + 329*d - 18*d**3 + 22 - 11 to the form m + x*d**3 + h*d + t*d**2 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6 - 1)\/(1*-1). Let y = -1 - -9. Let v = y + g. Calculate the highest common divisor of v and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/(-27) - (-426)\/27. Let n(f) = f**3 - 15*f**2 - 15*f - 6. Let w be n(x). Calculate the remainder when (136\/w)\/(4\/10) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6352155 divided by 5?\nAnswer: -1270431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tevv. Give prob of sequence tv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the third derivative of -7*r**6\/24 - r**5\/60 - r**4\/24 + 8*r**2. Is t(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of v**5\/60 + v**4\/24 - v**3\/2 + 19*v**2 - 2. Let g(r) be the second derivative of x(r). Give g(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 82a06 (base 12) to base 6.\nAnswer: 3354410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 1724*y - 1541*y - 4190*y + 1.\nAnswer: -4007*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are 98540065 and 98540064 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-2))\/(4\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 10\/4*152\/190*1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19 - 12. Suppose 2*f - q = -3. Put 5, 1, f in descending order.\nAnswer: 5, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.45589863 and 4.\nAnswer: 4.45589863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -6*o**2 - 16*o - 20. Let t be r(-5). Which is smaller: -91 or t?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -174178 times 107.9?\nAnswer: -18793806.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 17339, 34676, 52013, 69350, 86687, 104024?\n\"Answer: 17337*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -561558810 divided by 6.\nAnswer: -93593135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -193.6 + 213. Round n to zero decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13 or 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8436 and 380.\nAnswer: 42180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 92 + -92. Suppose w = -3*q - 12, -k - 24 = -3*k + 2*q. Let x(s) = -1 + k*s - 29*s**2 + 30*s**2 + 7. What is x(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (227 - 10 + 145)*(l + 4*l**3 - l).\nAnswer: 1448*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do -158 and -160 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1212*r + 452*r - 675*r - 1.\nAnswer: -1435*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3388*h**3 + 601568*h**2 - 126146560*h\/7 - 5780889600\/7.\nAnswer: -4*(h + 24)*(77*h - 7760)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 4*l**2 - 3*l. Let y(g) be the third derivative of -g**5\/10 + g**4\/6 + 16*g**2. Calculate 7*w(i) + 5*y(i).\nAnswer: -2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2545.\nAnswer: 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -74\/3 and 62\/488796903?\nAnswer: 488796903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/16)\/(2\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31617568 is divided by 7904392?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (6\/(-16) + (-1411)\/272*-2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l**(-3\/14)))\/l*l**(-28)*l assuming l is positive.\nAnswer: l**(-389\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 158911 is divided by 19766.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24241*d - 4 + 4 - 31275*d.\nAnswer: -7034*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3704*r + 3651*r = 1219 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*x + 6*x + 858 = 0. Let n = 71 - 35. Let v = n - x. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -5*b - t, 4*b + t = -4*t + 28. Sort b, -4, 0 in descending order.\nAnswer: b, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10\/(-5) - (-48)\/22. Let w = -0.322 - 512.678. Let n = -510 - w. Which is the second smallest value?  (a) i  (b) n  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/20076 and -29\/190005.\nAnswer: 5320140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1365944*a**2 + 455318*a**2 + 455318*a**2 + 455315*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18 + 10 + 10 + 33*f**3 - 50*f**3 - 9*f to the form b*f**2 + q*f + d*f**3 + k and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 29557 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 6 = -2. What is the smallest common multiple of i and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - (-5 - 1)) + -14 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 31*v**3 - v + 1455.\nAnswer: 93*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7669 - 7669 + 71*j)*(5*j**2 - j**2 - 8*j**2) to the form v*j + f + i*j**2 + r*j**3 and give r.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2089\/20 - 441\/4. Calculate the common denominator of 41\/105 and m.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002778 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/2 in -29\/15, -0.1, 5\/58?\nAnswer: 5\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 17720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 175*q - 174*q + 5*u = -21, -3*q + 2*u + 22 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 221876959 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -169 + (0 + 6)\/(-2). Let a = -521\/3 - u. Find the common denominator of 1\/(-4) + (-1261)\/104 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 54745, 54737, 54703, 54625, 54485, 54265?\n\"Answer: -3*n**3 + 5*n**2 - 2*n + 54745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 14\/1986731 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 - p + 24. Let l(t) = t - 1. Let a(k) = g(k) + 2*l(k). Let n = 3 + -3. What is the remainder when a(n) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**2 - 4*d - 2. Let j(u) = -u. Let v be j(-4). Let g be b(v). Sort 0.1, g, 2 in descending order.\nAnswer: 2, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-2870))\/(17796\/(-155715))\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 57 and 429734875.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2 and 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of 0*c + 2\/3*c**3 + 39 + 0*c**2. Let g(q) = 4*q. What is d(g(f))?\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16333313 and 205861.\nAnswer: 5021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-4*sqrt(13)*-5)**2*-1 + (sqrt(78)\/(5*-3*sqrt(6))*5)**2.\nAnswer: -187187\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (61 + -8 - 28) + -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 + 5.9518113\nAnswer: 5.8518113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -240*a**2 - 3*a - 16. Let n be w(8). What is n rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -267, -45, -1, 0.\nAnswer: -267, -45, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -44*g**3\/5 - 1588*g**2\/5 - 2880*g - 1296\/5.\nAnswer: -4*(g + 18)**2*(11*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3\/47897150 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1974 + 2168. What is the closest to 0.1 in 5, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/4*r**5 + 21\/4*r + 3\/2 + 6*r**2 - 3\/2*r**4 + 3\/2*r**3.\nAnswer: -3*(r - 2)*(r + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -5*t**2 - 107*t + 63. Let k be q(-22). Sort k, -2\/3, -12.87, -2\/23 in increasing order.\nAnswer: -12.87, k, -2\/3, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20*l - 5215*l**4 - 3648*l**4 + 22*l + 1025*l**2 + 3169*l**4 wrt l.\nAnswer: -136656*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1017302 divided by 104\nAnswer: 39127\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -470, -587, -704, -821?\nAnswer: -938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2136535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 + 4*g**2 + 5*g + 3. Suppose -6*h = -2*h + 16. Let l = 1 - h. What is the units digit of c(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8588387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) 3\/5  (c) -0.3  (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7117 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 5*p + 5*z - 1947, -5*p = 5*z - 2435. Suppose 0 = -10*g + 2852 + p. What are the prime factors of g?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 10728 + 96?\nAnswer: 107c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(1112\/240 + -5 - 4\/30). Solve -5*m + 13*i - 10*i + 12 = 0, -2*m + 16 = -s*i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 2 = -4*o. Suppose 3*p - 2 = 4. Let k be (p - o)\/(5 + 0). What is the second biggest value in k, -0.1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 76, 95, 120, 151, 188, 231, 280?\n\"Answer: 3*p**2 + 10*p + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 27174*v**3 - 5*v**2 - 989704 wrt v?\nAnswer: 81522*v**2 - 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 + 5*d**2 + 36*d + 4. Let q be r(9). Suppose 324 = q*g + 4*k, 3*g - 22 = k + 217. What is the highest common divisor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (-33 - (0 + -17)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(2*2\/(-20)). Let q(r) = 12*r + 137. Let v be q(-11). Let m = -2 - -6. Solve k*f + 13 = -4*y, -f = 4*y + m + v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 42 + -38. Suppose -f = -5*f - b. Let l(o) = -11*o - 3. What is the units digit of l(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x**2 - 41*x - 12. Calculate u(20).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -38 * -2060\nAnswer: 78280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 28 and 36508.\nAnswer: 255556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (-6)\/4)*(-5)\/5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53851659053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 + 4*m + 1. Let n be v(4). Let x be (-3)\/2 + 45\/10 - n. Let k(r) = r**2 + r - 2. Let o be k(x). Solve 4 = -2*b + 3*q, -o*b + 2*b + q = -4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 41933 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11214235 - 235?\nAnswer: -11214514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 2332*k - 200566. Calculate b(86).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (-246)\/54 - 82\/18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 137 and 10823.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gkgzttgtvv. What is prob of picking 2 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwtmmtwmmw. What is prob of picking 1 m, 2 w, and 1 t?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -103, -307, -679, -1249, -2047, -3103, -4447?\nAnswer: -6109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 70 + 348. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*o - 286643*o**2 + 30 + 0*o.\nAnswer: -286643*o**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*o + 86346 = 126*o. What is the greatest common factor of o and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 8 - 19 = -u, -u = 2*l - 7. Let q(b) = b**2 + 3*b + 8. What is the remainder when u is divided by q(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3519 and -49219?\nAnswer: -173201661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(136))\/sqrt(8)*-1 - (sqrt(1377) + 1 + sqrt(17) + 2).\nAnswer: -11*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of -g**5\/30 + g**4\/12 - g**3\/6 - 7*g**2. Determine q(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes before 12:22 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 2*p = -16. Suppose 3*k - 262 = -5*d, p*d = d + 6. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 330673.\nAnswer: 7, 97, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 + 7*x + 9. What is the hundreds digit of r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*1\/(-2)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/369 and 3\/(-24)*(14\/82)\/((-18)\/156).\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (80\/(-32) - -4)\/(27\/(-4))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 5 + -1*(2*sqrt(175))**2.\nAnswer: -691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 79746 and 174.\nAnswer: 2312634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 722459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -4*i - 7. Let j be l(-3). Suppose -z - 2*z - 2*x + 4 = 0, -j*z + 4*x - 8 = 0. Let s be 3\/31*2\/3. Is s less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/104 and 51\/11336.\nAnswer: 11336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8\/10)\/(2\/(-10)). Sort -5, 3, o, 5 in descending order.\nAnswer: 5, 3, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4, 3\/214, -0.4, -3, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*c - 993 = 375 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = -2*t + 121, -6652841*t + 6652838*t + 19 = c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 14*q - 68. Let n be h(5). What is the third derivative of 157*s**6 + 1 + 195*s**2 - 186*s**n - 21*s**6 wrt s?\nAnswer: 16320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01643581 rounded to 5 decimal places?\nAnswer: 0.01644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 33*r**2 + 102*r + 416. Let v be o(-4). What is the highest common divisor of 201 and v?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ninety-five halves of a millennium in years?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 + 7 + 3 + 24 + -17?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -777688 by -44.\nAnswer: 194422\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.031096257 to three dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 581 = -112*g + 287*g - 2744 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 128*i**2. Let s(g) = 2*g + 1. Let u(a) = a**2 + 6*a + 3. Let x(r) = 6*s(r) - 2*u(r). Calculate x(n(f)).\nAnswer: -32768*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 2*s + s + 4*s**3 + 3*s - 4*s as j*s + y*s**2 + q + a*s**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 1 - (158 + -145) - -38?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -92 - ((-8 - 1 - (44 - 42)) + 11 + 8)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -22550.9088109 and 0.7.\nAnswer: -22550.2088109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(1\/15)*g)\/(g\/(g*g**(2\/5))*g))\/(g\/((g\/g**(-13))\/g))**(2\/45) assuming g is positive.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 96*t + 2595. Let w be r(-27). Solve 12 = p - w*y, -4*y = -5*p - 9*y - 40 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from vxguuddauvd.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 77168279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, m: 5, o: 5}. Give prob of sequence km.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 193039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of 3*k**3 + 0 + 7\/120*k**5 + 0*k + 1\/360*k**6 + 0*k**4 - 23*k**2. Let b(z) be the first derivative of p(z). Determine b(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -368028, -736203, -1104524, -1472991, -1841604, -2210363, -2579268?\nAnswer: -2948319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*n - 2*n + 3*n)*(4*n + 0*n - n) + (-n - 6 + 6)*(-2*n + 0*n + 0*n) as t + g*n**2 + b*n and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sft. What is prob of picking 1 s and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6390508?\nAnswer: 2, 1049, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2256 + -718\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -561050, -1122139, -1683228, -2244317?\n\"Answer: -561089*r + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + -1 - (-3 + -1). Let j = u + 1. Suppose -4*d - j*v = 2 + 1, 10 = 5*d + v. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 8 = 165*q - 161*q, 0 = -5*q + 3*i - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 3*w + 10 = 0, -4*f - w = -3. Which is greater: f or -46?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21.3 + 2.7. Let i = y - 28. Let h = -6 - -5.8. Which is the third smallest value?  (a) i  (b) h  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1032587 - -1445914. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*o**6 + 70939*o**4 + o**3 + o**2 - 1748*o - 42 wrt o.\nAnswer: -840*o**3 + 1702536*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3*15\/(-50)*20\/(-36). Find d, given that 0 - d**2 + d**4 + 0*d**3 - 1\/2*d**5 + h*d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -27\/55 - 6\/55. Let k = -789.1 + 751. Let v = -38 - k. Which is the third smallest value?  (a) v  (b) 3  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8601 - 206465\/24. What is the common denominator of 43\/138 and w?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - ((2 - 4) + 4)) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16970124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001030346 rounded to 7 dps?\nAnswer: 0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2b + -d8?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3151 + 5378. List the prime factors of v.\nAnswer: 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*a**4 + 15596845*a**2 + 31664021*a + 4?\nAnswer: 108*a**2 + 31193690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2861956081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000029842491 to seven decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 82b (base 14) to base 3\nAnswer: 2012112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1022 + -1022.1. What is the closest to -1 in 1\/6, v, -2, 9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -54, 233, -2.\nAnswer: -54, -2, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes before 9:12 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 22*p + 27. Let h be m(-3). Let s(j) = -2*j**2 - 4*j. Let f be s(-3). List the prime factors of h\/f*2*(5 + 2).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -62505 divided by 6206\nAnswer: -62505\/6206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the first derivative of 2*k**3 + 2199. Let i(n) = -273*n**2. Calculate f(i(t)).\nAnswer: 447174*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = f + 2*r, -3*f - r = 47 - 9. Let j(k) = k**2 + 11*k + 7. Let b be j(f). Let g = 2 + b. Calculate the remainder when 15 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 67439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1070682 is divided by 106984.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 319 = 169. Which is bigger: -240 or d?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 0 + 6 = 0. Let j(g) = -g**2 + 5*g + 6. Let u = 95 - 84. Let n(r) = -2*r**2 + 9*r + 11. Calculate m*n(h) + u*j(h).\nAnswer: h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 16*u**2 - 27*u**2 - 2*u + 14*u**2 + 6*u**3. Let z be w(1). Factor -11 + 4*r**3 - 8*r + 4*r**2 + 4 + z.\nAnswer: 4*r*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -66, -70, -84, -114, -166, -246?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.7 - 6.7. Let u = 5 - -18. Let g = 28 - u. Which is the third smallest value?  (a) o  (b) -7  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-4) - 182\/52?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 4*p**2 + p + 9. Let q be t(0). Solve 10 = 7*a - q*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vuccjxvzzvvxvxcvxcvu. What is prob of picking 2 x and 2 z?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1726 divided by 2?\nAnswer: -863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 16 = 2*m. Let u(t) = -t + 7. Let d be u(m). What is the first derivative of x**d - 5*x**3 - 2 + 3*x**3 wrt x?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3124 = -54*a + 17704. Calculate the highest common divisor of 432 and a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1478353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 80\/16*8\/(-10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 - 9. Suppose -5 = l - d*k, -3*k = 4*l - k - 16. Solve l*y = -9 - 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56\/(-5600)*-10*-195*(-8)\/(-3)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1668263 + -1?\nAnswer: -1668264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -0*w - 16. Let z(m) = -6*m - m - 3 - 2*m + 7*m**2. Is z(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -18951 * 11.9.\nAnswer: -225516.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 116489 greater than or equal to 815429\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(11) + -3))**2 + 2)*1 - (6*-1*sqrt(66))\/(-1*sqrt(54)).\nAnswer: -218*sqrt(11) + 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 4*h = -2*d + 54, 4*d + h = 123. Let u be (2 + 0)*6\/(-4). Let j = u + 6. Calculate the greatest common divisor of d and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1295263274?\nAnswer: 2, 647631637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -50*z - 9. Let s be 3\/(-2)*(-60)\/(-9). Is r(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)\/(sqrt(96)\/(sqrt(8)*2)))\/(sqrt(24)\/(sqrt(8) - (2*sqrt(392) + sqrt(392))))*-1.\nAnswer: 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9802782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 2*t = -6, -3*t + 1600 - 1612 = 2*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 3*d. Suppose -65 = 35*k - 170. Let y(p) be the first derivative of -4\/3*p**k - 14 + 0*p + 0*p**2. Give y(c(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 AM and 11:09 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2779677 is divided by 1514.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of -2*x + 1\/480*x**6 - 32*x**2 + 0*x**4 + 1\/120*x**5 + 0 + 0*x**3. Factor o(v).\nAnswer: v**2*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - -1. Let x = t - -2. Suppose 0 = j - x*j + 29. Calculate the remainder when 56 is divided by j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 5:04 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + -1 + 3\/9. Let t = -17.1 - -21.34. Let i = t - 0.24. What is the nearest to 1\/3 in p, i, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 - 4. Let j = l + 0. Put -1\/9, j, -0.3 in descending order.\nAnswer: j, -1\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 41170512+32923\nAnswer: 41203435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(320)*-2 + sqrt(320)) - sqrt(320)) + sqrt(320) + -1*sqrt(320)*-2)**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w - 4*w + 4*w + (2 - 2 - 1)*(-1 + 3 + 0)*(13 - 10 - 7)*(0 + 3*w + 0).\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**10\/i*i*(i\/((i\/(i*i**15))\/i))\/i assuming i is positive.\nAnswer: i**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 4, -4 in descending order.\nAnswer: 4, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 3)*(32*y - 19*y - 16*y + 4) + 0 + y + 0 - y + 0*y - 2*y.\nAnswer: y - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10579?\nAnswer: 71, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 PM and 7:49 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 599 is divided by 100.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -1944514.\nAnswer: 1\/1944514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 26126267 a multiple of 665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2065569\/7707530 + -3\/32798. Calculate the common denominator of g and 65\/30 + 7 - -7.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -69 divided by 358\nAnswer: -69\/358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/12 + 158843*o**2.\nAnswer: -o**2*(o - 1906116)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 + 10*a**2 + 11*a + 8. What is the units digit of p(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.05653 - -0.26653. What is the closest to -0.1 in 0.2, -4, 4, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -4*k**3 - k**2 + k + 1. Suppose 0 = -9*n + 4*n - 5. Let z be y(n). Suppose 6 = -0*c - z*c. Which is bigger: -4\/3 or c?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*w + 9971 + 3779. Let q = -391 + w. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 393193 and 925160.\nAnswer: 15727720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -16879, -67645, -152255, -270709, -423007, -609149, -829135?\n\"Answer: -16922*j**2 + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -359*k - 49 - 368*k + 29 + 20 to the form f + p*k and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n - 6 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 217 by 7.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 10030577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**5\/5 - 6*x**3\/5 + 3*x\/5.\nAnswer: 3*x*(x - 1)**2*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2579112 + 93*z - 2579112.\nAnswer: 93*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.228 less than -1583759?\nAnswer: -1583759.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**2 - 5*i + 5. Give d(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 173\/381?\nAnswer: 173\/381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 + o**2 - o + 4. Let m be u(0). Suppose -m*q - 20 = -7*q + 2*y, 20 = q - 4*y. Solve 4*j - 5*n + 9 = 0, q*n = 2*j + 3*j + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes after 11:15 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 123 + -51. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 - 15*t**2 - 15*t + 1. Let h be c(-14). Suppose -o + l = -5*o + 77, h = -5*l. Solve u - o = 5*d, 0*u = -5*d - 3*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 3*c - 12 = 5*c, 0 = 4*g - 5*c + 40. Let v(i) = 5*i + 5 - i**3 - 4*i**2 + 0 + 0*i. Let d be v(g). Let q(m) = -m**2 + 5*m - 6. What is q(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 74681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5433 + 23687. Let m = 18253.977939 - l. Let j = m - -0.022. What is j rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-d + 2*d - 3*d)*(-4*d - 3*d + 5*d) + (-2 - 4*d + 2)*(-3*d + 0*d + d) to the form f*d + a*d**2 + m and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2 + 1068*g + 2433120.\nAnswer: -3*(g - 1096)*(g + 740)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/35*-17*(-5)\/(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29, -12, -4, -3, 2, -5 in decreasing order.\nAnswer: 29, 2, -3, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 12 = -4*m, 51 = -232*m + 237*m + 7*d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 1218927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -5*l**3 + 3*l**2 + 3*l + 1. Calculate the remainder when r(-2) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 2*o, -11*x - 10*x = -3*x - o + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 + -10. Let k = 3 + t. Solve g = 1 + k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 - 7 = -8*x. Suppose 0*g - 7 = -2*r - x*g, 0 = 2*r + g - 19. Calculate the greatest common divisor of r and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 602 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*r = -16*r + 24. What are the prime factors of 657\/(-54) - -12 - 1321\/r?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 313 divide 4989220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 185 - 8*u + 0*u + 7*u - 3*u + 5*u to the form o*u + m and give m.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**39\/(h*h**(1\/12))*(h**26)**(-48) assuming h is positive.\nAnswer: h**(-14521\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 34*a - 33. Let m be d(5). Suppose -x + 1642 + m = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*z - i = 25*z - 2322610, 2*i = -4*z + 1858094. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -3*f. Let q be t(1). What is the smallest common multiple of 18 and 10 - (-2)\/(q\/(-3))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 44, -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 235002 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1a2 (base 14) to base 2.\nAnswer: -101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes after 10:14 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -22, -47, -88, -145?\n\"Answer: -8*s**2 - s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2162)\/(-188) + 1\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6800, -27313, -61554, -109541, -171292?\nAnswer: -246825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:18 AM and 9:17 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -153512000 rounded to the nearest one million?\nAnswer: -154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 3 + (1 + 1 - 3)*(-3 + 0 - 2))*(-3 - 10*b + b + 2*b).\nAnswer: -42*b - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*i**2 + 61*i + i**2 - 10 - 60*i as y + q*i**2 + r*i and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i + 23. Let h be t(18). Suppose h*d - 2*q - 128 = 0, -d + 28 = -q - 0. Let p(s) = s**3 - 23*s**2 - 18*s - 43. What is the tens digit of p(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4057 + 5?\nAnswer: -4052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*y - 164 + 100 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 4*z - 96 + 16 = 0, 0 = -5*x - 2*z + 116. Let b(r) = -5 + 4 - 2 - r + 6*r. Let c be b(3). What is the highest common factor of x and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s + 1. Let w be q(4). Suppose 4 + 6 = 2*n - 4*f, -4*n + w*f + 5 = 0. Let l = 8 + n. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 c when three letters picked without replacement from joojooocjoocoj?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 261\/(-27) + (16 - 6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23586*i**6 - 10200*i**2.\nAnswer: -2830320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 415 = 53*k + 30*k + 1162 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31224*48.\nAnswer: 1498752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.7657 + -0.76429605. Round w to five dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.07 in -0.5, 2.2, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 + 782*m**2 - 784*m**2 + 354*m + 2 + 25*m to the form o + x*m + r*m**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-9 + 10)*(-2)\/2. Which is the nearest to u?  (a) -5  (b) 3\/2  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**3 + g**2 + 1. Let s(q) = 141*q**3 - 2*q**2 - 2*q - 510. Let h(p) = -s(p) - 2*x(p). What is the second derivative of h(l) wrt l?\nAnswer: -834*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 447296064 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 82\/39 and 133\/384?\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 18 - 3 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-8))\/((-27)\/(-36))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42237 and 140790.\nAnswer: 422370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(208) + -5 + sqrt(208) + 1*sqrt(208) + -1.\nAnswer: -6 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/(-3)*78\/65. Let d = 8 + -3. Sort s, d, 14 in decreasing order.\nAnswer: 14, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p**(-6)*p*p)\/(((p**4*p)\/p)\/p))\/((p**(-2\/17)\/p)\/(p\/p**(-1\/12))))**(-41))**(-34) assuming p is positive.\nAnswer: p**(-40139\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-36)\/33*(-1645380)\/(-22437).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 125557.7 - 125557.6249937. Let p = 0.075 - k. What is p rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from axxx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -8*o**3 - o**2 + 4*o - 3. Let i be b(2). Let p = i - -109. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**12\/v**(-2\/21))\/((v*v*(v\/(v**0*v))\/v)\/(v\/(v\/(v\/v**(4\/17))))) assuming v is positive.\nAnswer: v**(4234\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 3*l - 2 = 0. What is the common denominator of 51\/11 and l\/8*534\/(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 83802 or 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 22 = 3*v, 4*v + 40 = 64*t - 68*t for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 173\/270 and 11\/46320?\nAnswer: 416880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence so when two letters picked without replacement from voisvoviovvoiiviii?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 + -3. Suppose -s = -3*w - h, -w - 2*s = 2*w - 6. Solve w*f = -2*f + 8, 2*z - 4*f + 8 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 - 11.1. Are -2\/13 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from {s: 2, p: 1, h: 1, z: 1, d: 1, t: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 3*m**2 + 16*m + 56. Let j be k(-5). Solve -j*f + 54*f = 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/(-4))\/(1\/(-6)). Suppose -5*l = -4*o - 649, l + 5*o + 74 - 227 = 0. Let k = 131 - l. Sort 4, a, k in increasing order.\nAnswer: k, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(1872) + -1 + sqrt(1872) + 0 + sqrt(1872) + -5 - ((-1 + 2*sqrt(1872) - sqrt(1872)) + (1 + sqrt(1872))*-3)) + -4)**2.\nAnswer: -960*sqrt(13) + 46864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 2*m = 0. Let f = -6 - 14. Let n be (f\/6)\/(4\/(-6)). Put 1, n, m in decreasing order.\nAnswer: n, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 839.511 to the nearest integer.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8511559 and 1066.\nAnswer: 221300534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -78 + 21. Let w = z - -56.9864. Round w to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000682 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeeeookekqok. What is prob of picking 1 o, 2 e, and 1 k?\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2 - 2014*w + 404429. Give i(184).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*h - 6 - 82 = 0. Let w(x) = -x**3 + x**2 + 3*x + 2. Determine w(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 35*r - 630570 + 143790. What are the prime factors of r?\nAnswer: 2, 7, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.1353 - 21.3053. Let m = g - -21. Let y = m - 0.04. What is y rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 40*k**2 + 0*k**5 + 159*k**4 + 25*k**2 + 64*k**4 + k**5 + 21*k**2 wrt k?\nAnswer: 60*k**2 + 5352*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 3395290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 49493225887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -1457*m - 1283. Is d(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.74883 to 1 decimal place.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 178\/(36312\/34)*(-6)\/9*(-30)\/(-605).\nAnswer: -2\/363","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 5, 7.8, -5.\nAnswer: -5, -2\/3, 5, 7.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of u**7\/840 - 3*u**6\/160 - 17*u**5\/80 - 19*u**4\/96 + 13*u**3\/4 + 1363*u**2. Suppose t(b) = 0. Calculate b.\nAnswer: -3, -2, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 + 4*r**2 + 2*r - 2. Let a(z) = -4*z + 2*z + z**2 + 2*z + z. Let v be a(-2). Calculate k(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k*k*((k**(-2\/13)*k)\/k*k)\/k*k*k*k*(k\/((k\/k**(3\/8))\/k))\/k*k*k\/k**(2\/7)*k*k*k**(-1) assuming k is positive.\nAnswer: k**(6505\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 108385 (base 9) in base 15?\nAnswer: 144bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -8340.38241 to the nearest 10.\nAnswer: -8340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 + 4 + -4 - -5. Solve -i*l + 3 = -6*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -109 and -109 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/5?  (a) 3  (b) -0.4  (c) 2  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**2 - j**2 + 2*j**2)*(0 - 2 + 0)*(-2*j**2 + 0*j**2 - 3*j**2).\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 179818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 4*j = -4, -4*w + 3*j + 28 = 4. Solve -15 = -w*q + 6*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t, 1 v, and 1 w when four letters picked without replacement from {v: 1, t: 5, x: 2, j: 1, w: 5, b: 5}.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - -2) + 1 + 975\/(-351). Suppose -4\/9*h + 2\/9*h**2 + n = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 7. Solve -j*p - 2 = 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2673)\/162*(-9)\/(135\/10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3624 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, -420, 5, 1\/3, 0.4.\nAnswer: -420, -1\/3, 1\/3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79 + 362 = 3*z. What is the remainder when z - (-3 + (-9)\/(-3)) is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -19 - -22. Suppose -5*k + 2*k = -5*o + y, 4*o - 32 = -5*k. Find the first derivative of -h + 225 - 202 + h - k*h wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3290718 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes after 2:37 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -89 - -17?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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 y(i) = 104*i**2 - 93*i - 51. Determine y(0).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 189 a factor of 46683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 437629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*l*p**3 + 250*l*p**2*x**3 + l*p**2*x**2 + 4*l + 2*p**3*x**3 - 2*p**3*x**2 wrt x?\nAnswer: 1500*l*p**2 + 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2. Let d(l) = -6*l**2 + 4*l - 2. Let h = -391 + 396. Determine h*c(s) + d(s).\nAnswer: -s**2 + 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 126\/72*((-64)\/40)\/(7\/(-35)*-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) 1374  (c) -1  (d) 84\/391\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -628 and -5.\nAnswer: 3140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50.51002 grams to kilograms.\nAnswer: 0.05051002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 3*z**2 + 186*z + 183 = 0?\nAnswer: -61, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w + 4*a + 14, -w + 3 = -2*w - a. Suppose 4*v - 3*u = 5, -w*v = -0*v - 4*u. Suppose -y + 7 = v. Solve -4*l - y = -21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(242) + 1)**2 + sqrt(242)) - -4*(sqrt(242) + -1).\nAnswer: 242*sqrt(2) + 1454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1434061 times 0.1?\nAnswer: -0.01434061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -91, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -690 + 690. Suppose -8*m + 1347230 = -3*m. Suppose j - 1050554 - m = c. What is j rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -5480*o - 377818. What is v(-69)?\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 12\/5 - (-4 - (-22)\/5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -104031*d + 78. Let u(k) = -5475*k + 4. Calculate 2*t(a) - 39*u(a).\nAnswer: 5463*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3621.18041250807 - 0.03931150807. Let a = i - 3621.1. Let t = a - 0.041. What is t rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-5)\/(-15))\/(4\/40)*3. Let x(y) = y**2 - 7*y + 5. Give x(c).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7637*y**3 + 2*y**2 - 2*y**2 - 7641*y**3 - 1145*y + 678*y + 467*y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 5*z**3 + 360*z**2 - 11*z - 886. What is l(-72)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, e: 2, b: 4, p: 2, d: 1}. What is prob of sequence pxp?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 - 6*t**2 - 49*t + 93. Let w be g(10). Let f(r) be the second derivative of 0*r**w + 0*r**2 - 38*r + 1\/10*r**5 + 0 - 1\/21*r**4. Factor f(h).\nAnswer: 2*h**2*(7*h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1015 - 987. Calculate the highest common factor of o and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/193  (b) -109\/3  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 523?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 9:00 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*m - 2. Suppose -2*k - 5*l = -10, -4 = m*k + k - 2*l. Let j be k + ((-1)\/(-4) - 0). Which is the nearest to j?  (a) 0.1  (b) -2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 14 - 12. Suppose 2*j + p - 13 = -4*p, 0 = 2*j + 4*p - 14. Calculate the lowest common multiple of d and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-1 + (sqrt(48) + sqrt(3) + -1 + ((sqrt(120)\/sqrt(4))\/sqrt(10) - sqrt(3)))*-1)**2.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -64.354321708 + 64.354. Round y to 5 decimal places.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, 115, 1, 9, -8 in ascending order.\nAnswer: -8, -5, 1, 2, 9, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add -31 and -2444065.\nAnswer: -2444096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*x = -59*x - 24*x - 1695 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*(a**(-3)*a)\/a*a)\/a**(-3\/7)*a**(1\/7)\/a**5 assuming a is positive.\nAnswer: a**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a century in months?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10799 is divided by 135?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-m**2 - 2*m**2 + 2*m**2)*(-34 - 8*m + 34)*(2 - 2 + 3*m) as v*m**3 + w*m**2 + i*m + j*m**4 + r and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 9:06 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3414 + 3414 + 1427083*t.\nAnswer: 1427083*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of -13*a**4\/12 - a**2 + 5*a - 13. Let n(m) be the first derivative of u(m). Differentiate n(i) wrt i.\nAnswer: -26*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**2 - 2*q - 13. Calculate k(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 23 - 8 + 22*z**3 - 38*z**3 wrt z?\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 355929 and 1428?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8383185 (base 9) to base 7.\nAnswer: -53052311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001399157 to seven dps.\nAnswer: -0.0001399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19 - 10*b - 25 + 14*b + 15 - 8*b.\nAnswer: -4*b + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -6*u**3 + 3*u**2 - 7*u. Let r(q) = 19*q**3 - 8*q**2 + 20*q. Let h(s) = 3*r(s) + 8*y(s). Find the second derivative of h(w) wrt w.\nAnswer: 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -2*i. Suppose 4*h = 2*h + 4. Suppose -t - t - 4*u = 4, 0 = -t - 3*u - 5. Let g(c) = 2 - t + h + c. What is s(g(x))?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of -a**4\/3 + 16*a**3 + 50*a**2 + 152*a\/3 + 65. Determine d so that f(d) = 0.\nAnswer: -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1111001111011 (base 2) to base 12.\nAnswer: 4623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 57367\/8 + -7159. Find the common denominator of s and (-1034)\/160 - (-2)\/5.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-47)*203980\/(-1736).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 + -3 + 8)*1. Suppose -10 = -4*n + d*n. Let h(x) = -x**2 - 6*x + 1. Calculate h(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2193432 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/167?  (a) 25  (b) 0.5  (c) -2\/33  (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -100 + 10303?\nAnswer: 10203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 289337770 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in thirty-seven fifths of a millennium?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -2*x + 4*u, 0 = -5*x - 3*u - 0*u + 50. Let o(f) = 2*f - 3. What is the remainder when o(x) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**17\/q**(-1\/12)*(q\/(q\/((q*q\/((q**7\/q)\/q))\/q)))\/((q\/((q**(8\/11)*q)\/q))\/q))**(10\/3) assuming q is positive.\nAnswer: q**(9115\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 213 a factor of 181263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 270 and 360.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uocg when four letters picked without replacement from ugmcococcyyycucuc.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add 3.1 and -16.28356.\nAnswer: -13.18356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -55 + 54.9999902. What is h rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2\/13 - 552415\/(-4355) is divided by -16*2*-1 - 0.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -45681800 to the nearest 100000.\nAnswer: -45700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4376 + 15039. Let z = 16223 - l. Round z to the nearest 100.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1541\/14820 + 1\/780. Let z = 1103.9 + -1104. Put 3\/2, z, u in descending order.\nAnswer: 3\/2, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 PM and 2:04 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9*y**2 + 3*y + 1 + 28*y**2 - 14*y**2)*(29 - 29 + 9*y)*(4*y - y - 5*y)*(1 - 2 + 2) to the form k*y**2 + t*y**3 + z*y**4 + p + x*y and give t.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 3 + c + c + (-26*c + 5*c + 10*c)*(-3 - 1 + 1) + 2 - c - 2 in the form z*c + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 136525 and 1655445?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -19*q - 3. Let a(i) = -37*i - 6. Determine 4*a(b) - 9*l(b).\nAnswer: 23*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + 364?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1992.99 + 3\nAnswer: 1995.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3170\/19 at least as big as 167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6261152 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75237.\nAnswer: 3, 31, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - i = -25, -u = -5*u + i - 34. Find the common denominator of -67\/14 and u + 10 - 262\/20.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by 80.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 4 = -6. Let h(l) = -l**2 + 2*l + 7 + 2*l - 4*l + 4*l. Give h(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 - 3 - -2) + 38. Suppose 0 = 274*u + 20*u. Which is the closest to m?  (a) -1\/5  (b) u  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zhh when three letters picked without replacement from zzzzhh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l - 13*l = 2*g + 8114, -4*l + 12185 = -3*g. Let k be (132\/g)\/(14\/(-3)). Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 15*k**2 - 23*k - 1. Let f be o(2). Suppose -f*x = -139 + 113. Factor 0 + 4\/5*w**3 - 4\/5*w + 0*w**x.\nAnswer: 4*w*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*m**2 - 70*m + 70*m + 191.\nAnswer: -3*m**2 + 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -6\/23, 5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**2 + 0*a + 3 - a + 2*a - 2. Let i(f) = 34*f**3 + 3*f**2 - 49*f - 3. Let b(q) = i(q) + 3*m(q). Find the second derivative of b(o) wrt o.\nAnswer: 204*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 627 and 2739.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 10*n - 79. Let c be f(10). What is the tens digit of 2 - (-2 + 164)\/(c\/(-98))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 1468*s. Let i(t) = 29*t. Calculate i(f(p)).\nAnswer: 42572*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -2*i + 74, -2*o + 39 = -0*i + 3*i. Calculate the remainder when 106 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 280527 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -869.2.\nAnswer: 3476.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 + 2)*5*(-48)\/80. Let a = -4.3 - -3.4. What is the third biggest value in a, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 2 + 13 = 0. Suppose 0 = 4*b + h*y, 4*y = 2*b - 4*b. Solve b = n - 5*n - z - 25, 15 = -4*n + z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s - 2*s + 2*s**3)*(-5 + 5 - 8*s)*((-4*s + 2*s + 0*s)*(-1 - 1 + 3) + 18 - 18 - 21*s + s - s - 2*s + s - 1 + 1 + (2 - 2 - 2*s)*(2 - 6 + 3)).\nAnswer: 352*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 296 - 261. Let y(h) = x*h - 35*h + h**2. Let z(a) = 59*a. Give y(z(s)).\nAnswer: 3481*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in seventeen halves of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 + 59*j**2 - 673*j + 1182. Give g(-69).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 47 = 31*k - 34*k, -4*w = 4*k + 52 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -242 + 131. Let a be o\/(-12) + 4\/(-16). Solve 4*g = -a + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1082935 is divided by 1528?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-100)\/(-35) - (-6 - (8 + -17))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 + 3*u**2 - 7*u + 5. Let f be -6*2*(-1)\/4. Let m = -8 + f. Let p(t) = t**2. Let z(w) = m*p(w) + c(w). What is z(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -371, -1435, -3187, -5621, -8731, -12511, -16955?\n\"Answer: a**3 - 350*a**2 - 21*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 36 + 60. Let s be (c\/(-18))\/4*6\/(-2). Suppose -g**5 + 25*g**4 - 6*g**2 + 2*g**2 - 42*g**s + 20*g**4 = 0. Calculate g.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 - 3521377249?\nAnswer: -3521377272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 4*q - 10. Solve 4 = -2*w, -q*o + 3*w = -4*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -168*k**3 - 11*k**4 - 1 + 2*k**2 + 0*k**4 - 7*k**4 + 10*k**4 + 0*k**2 - 2*k to the form t*k**4 + c*k**2 + j*k + f*k**3 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 + 3*o**2 - 12*o - 10. Let h be x(-5). Solve h = 3*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of 19*g**4\/12 - 1123*g**2. Let u(k) = -46*k**2. Give u(v(r)).\nAnswer: -66424*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1605838957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1318\/3)\/((-20)\/6 + 4). Suppose 0 = 5*w - 31 - m. What is the remainder when w is divided by (-8)\/(-52) - (-1 + 698\/(-26))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 502854 and 342?\nAnswer: 1508562","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**2 + 96*g + 287. Calculate r(103).\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 11*w**2 + 6*w - 14. Let d be y(-11). Suppose 3*o - 5988 = d. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -286 + 286.411. Let w = -0.011 + k. Let j be ((-12)\/8)\/((-3)\/(-6)). Put w, -0.3, -5, j in decreasing order.\nAnswer: w, -0.3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5234 divided by 2617?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -2 + 1. Let i be h\/(-3) + 4\/12. Solve -4*d - 2*v - 10 = 0, -d + v = -i*d + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iibi when four letters picked without replacement from dbcipcpdbidcpbbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2714837, -10859331, -24433491, -43437323, -67870833, -97734027, -133026911?\n\"Answer: -d**3 - 2714827*d**2 - 6*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 0 + 30 + -22?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - (-4 + -1 - (-26 - -31))) + -48\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*(w\/(w**11\/w))\/w)\/w)\/w)\/((w**15*w)\/w*w)*(w\/w**(6\/13))\/(w\/(w*w**(-7)*w)) assuming w is positive.\nAnswer: w**(-422\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 + 1. Suppose 0 = -f + 4*f - 6, 5*f - 13 = -j. Suppose -t*a + 23 = j. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3496638189?\nAnswer: 3, 11, 4903, 21611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (-10 - (-1 + -7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1779792866 by 6.\nAnswer: -889896433\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3.3 * 14\nAnswer: 46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 19*a + 1. Suppose -3*q = 4*w + q - 20, -w + 5*q = 19. Let g be o(w). Let y(b) = -4 - 17*b - 1 + g*b. Determine y(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 185 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7630255520.\nAnswer: 2, 5, 17, 23, 121967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 5*k = -145, 0 = -l + 3*k + 45 - 16. Suppose -1 = 4*h - 17. Let c = l + h. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 48279 and 9625875.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - i = -10, -z - 2*i + 9 = -5*i. Suppose 3*o = 4*o + z*v - 81, 3*o + 3*v = 261. What is the biggest value in 1\/2, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p - 2. Let r be 10\/6 + 2\/6. Let s be h(r). Suppose i = -i + 6. Solve c - i*c + 6 = s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -30*f**3 + 11*f**4 + 20*f**2 - 39*f**3 + 4*f**3 - 76*f**4 + 20*f**5 = 0.\nAnswer: -1, 0, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -169*d + 161*d - 4*l - 108, -d = 3*l + 26 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -567072347, -1134144693, -1701217039, -2268289385, -2835361731?\nAnswer: -3402434077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - 1372815?\nAnswer: -1372814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 58*t + 19. Let l(v) = -59*v - 23. Calculate 5*f(i) + 4*l(i).\nAnswer: 54*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124629740 is divided by 12052?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:22 PM and 2:40 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + -9204dc2?\nAnswer: -9204dc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**2 + 2*q - 17. Let h be w(-8). Suppose -n + 84 = -18. Let f = n - h. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -79859487*m - 101682238 with respect to m.\nAnswer: -79859487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = -t + 18, 5*t + 2*x + 22 - 4 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 6*s**3 - 20*s**2 - 4*s - 4. Let v(x) = 7*x**3 - 19*x**2 - 5*x - 5. Give -5*f(r) + 4*v(r).\nAnswer: -2*r**3 + 24*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 12:39 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 192*-0.02176.\nAnswer: -4.17792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 551 and 174?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 14  (b) 2  (c) -1\/5  (d) 102  (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:07 PM and 4:50 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -543*p + 13206 = -15903 - 7815 for p.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 2*x + 4 - 29 = 0, -4*x = 5*f - 39. Let d(r) = -3044*r - 2 - 1320*r - 1 + f. Let l be d(-3). Round l to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 713480212.\nAnswer: 2, 1013, 176081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1980 and 55620.\nAnswer: 611820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 20967371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-40)\/125)\/8*3210\/(-2568)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*(-3)\/((-81)\/(-9)))\/((-10)\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 218937 + 0.03.\nAnswer: 218937.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of -o**6\/15 + o**4\/5 - o**2\/5 + 4. Factor w(b).\nAnswer: -2*b*(b - 1)**2*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4132 take away 2.36?\nAnswer: -4134.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29658085 is divided by 328.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-13)\/k**(-33)*(k\/(k\/((k*k*k**5)\/k)))**47 assuming k is positive.\nAnswer: k**302","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17.9 - -2.9. Let b = t + 14.38. Let c = b + 0.61999971. What is c rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 8*z - i - 85 = 0, 4*z + 4*i - 68 = 0. What is the highest common factor of 17 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -92 - -94. Let y be (-5 - (0 + -5))\/h. Let s be (4 + -4 - -2) + y + -2. Solve s = -2*l + 3*m - 19, 2*l + 1 = -m - 2*m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 + j - 218. Let l be m(0). Let h = -112 - l. Suppose -5*w + 2*r + h = -22, -3*w = -2*r - 80. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3334183 millimeters in kilometers?\nAnswer: 0.0000003334183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4734 + 0*f**3 - 4719 - 349*f - 14*f**3.\nAnswer: -14*f**3 - 349*f + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3577.3348 + -1.7348. Round u to the nearest one hundred.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 51, -1, 2872 in descending order.\nAnswer: 2872, 51, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21580 is divided by 21447.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 350503352?\nAnswer: 2, 1669, 26251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -575*d**2 + 1097535*d - 1097535*d - 2*d**4 - 36*d**5 wrt d.\nAnswer: -2160*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16191 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 610080 and 369?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/10*13\/4)\/((-975)\/(-59150)*-91).\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7296763 or -7296762?\nAnswer: -7296763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 391 - 47. Let v = 50 - b. Let y = -165 - v. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 0*x + 24. Let -2*v**2 + v**2 + 5*v**2 - x*v + 4*v = 0. Calculate v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7 + 24a0a?\nAnswer: 24a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7 + -11 + 4\/4 + 65. Suppose -g*s + 71*s = 2619. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y + 1. Let h(t) = t**3 + 5*t**2 - 2*t - 5. Let x be h(-5). Let n = x + -15. What is the units digit of r(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nxxjj. Give prob of picking 1 x and 1 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(1\/7)*l*(l\/(l**11*l)*l)\/l)\/(l\/l**0)**(-6\/13) assuming l is positive.\nAnswer: l**(-790\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 12111122120112 (base 3) in base 13?\nAnswer: 7b59cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 - v. Let b be r(1). Let t(x) = -x**3 - 2*x + 85. Is t(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**3 + 0*y + 0*y - 3*y**2 + 3*y**2 - 4*y**3 + (0*y**2 + 0*y**2 - y**2)*(-3*y + 5*y - y) + 6*y**3 - 12*y**3 - 14*y**3.\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.01 * 179690\nAnswer: -1796.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 1474, 0.04, 3, 23 in descending order.\nAnswer: 1474, 23, 3, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (84\/22)\/((-789)\/(-2893)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3064891167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20064 + -19375. Calculate the remainder when w is divided by 68.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 70 (base 10) to base 5\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -14326, -14331, -14336, -14341?\n\"Answer: -5*m - 14321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(280)*2)\/sqrt(5))\/(sqrt(968)*3 + sqrt(8)).\nAnswer: sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 47 - ((66 - 25) + -23).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18 + -10. Suppose -3*d = -4*m + 11, -2*m + 5*d = -1 - l. Suppose -44 = -y - m. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/3  (b) 14  (c) -19\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 PM and 7:31 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 211.6407 weeks to milliseconds.\nAnswer: 128000295360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-5 - -2 - -1) - (-11 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange q - 163 + q + 303*q**2 + 117*q**2 + 164 + 12*q**2 to s*q**2 + y + k*q and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9046589 to the nearest integer?\nAnswer: 3008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 30113376 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (46 + 45 + 60)*(0*w**2 - 2*w**2 + 4*w**2) + w**2 + 12*w**2 + 0*w**2 as x + j*w + u*w**2 and give u.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -q - 4*o + 3, -2*o = -4*q. Let t(a) = -16*a - 5. Let n be t(q). Calculate the highest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -0.1, -109, 0 in descending order.\nAnswer: 0, -0.1, -3, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvkvkv.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 247318 is divided by 95.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 73.1597 millimeters?\nAnswer: 0.0731597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (18 - (19 - 11) - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 1689*o. Let f(y) = -30027*y**2. What is f(t(d))?\nAnswer: -85658653467*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 710 - -1523\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -4*w**2 - 214*w - 83. Give t(-51).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 16*v**2 + 2*v. Let n(r) = 90*r + 126*r + 91*r + 93*r - 396*r. Give n(d(a)).\nAnswer: 64*a**2 + 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -58562, -117211, -175868, -234539, -293230, -351947, -410696, -469483?\n\"Answer: -v**3 + 2*v**2 - 58648*v + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = 5*p + 4*q, -5*p - 2*q = -16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**3 - 3*s**2. Let m(h) = 1906*h**3 + 2859*h**2. Calculate 953*a(y) + m(y).\nAnswer: 953*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 PM and 6:31 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4 - (7 - 13))\/(-3)*9. Let i(y) = -3*y**2 - 5*y - 8. What is i(a)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -18416*8\/(-4) + 0 + (-14 - -9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1093029 and 868?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150*z + 147*z - 11 = 5*l, 2*z + 1 = 3*l for z.\nAnswer: -2","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 nddsndnssddssdsdn?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from xncccnnnxnncncxxxnxx?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-1*-1*sqrt(104))\/(((1*sqrt(256) + sqrt(256))\/sqrt(8) - sqrt(32))\/sqrt(4)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 22*o**2 - 7*o - 53. What is the least common multiple of 639 and z(-6)?\nAnswer: 7029","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(-1) + (4 - -1). Let n(o) = 2*o**2 - 5*o + 4. Calculate the remainder when 45 is divided by n(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 12) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 6 - (-4 + -10 - (-2 - 11))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 391 at most 4297\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 - 6*u - 6. Let w be z(6). Let f(x) = x + 5. Let p be f(w). Let v be (-2)\/(-8) + 2\/(-8). Which is the nearest to p?  (a) -5  (b) -3  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1992090 or 8\/29?\nAnswer: -1992090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 123*y - 22. Is w(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(190) - 2*-5*sqrt(190))*-5)\/(sqrt(360)*-2 + (sqrt(70) + -1*sqrt(70) + sqrt(70))\/sqrt(7)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 2\/11, -4, -22\/5, -3\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 + 1.7. Let n = -0.163 + -4.837. Put -2\/3, -2, i, n in decreasing order.\nAnswer: i, -2\/3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**13\/d*d*d*d*d\/d**(-8)*d)\/(((d**(2\/9)*d)\/d)\/(d*d*d\/(d\/((d\/((d\/(d*d**15))\/d))\/d)))) assuming d is positive.\nAnswer: d**(385\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9290.\nAnswer: 2, 5, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -73 minus 0.23941?\nAnswer: -73.23941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + ((sqrt(1100) + -2*sqrt(1100) + sqrt(1100))**2 - sqrt(11)) - (sqrt(66)\/(sqrt(6)*2) - sqrt(11)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 15081\/17 + (-24)\/204 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -46.3 and -300002.6.\nAnswer: 13890120.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 273*y - 1451 - 2412 - 7280 = -1588 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -30 - -50. Suppose -5*a = 17 - 7, 5*a + 8 = -x. Solve -x*m = 2*m - o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 - 7*f + 12. Let r be u(7). Suppose -r*k = -11*k - 9. Suppose -776 - 1231 = -k*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7993533 < 103915948\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 4*j - 22, 4*k - k + 4*j = -6. Solve 5*r**k - 4*r**3 + 7*r**2 - 20*r + 12*r = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -3 - 6) + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2211 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001011 - 1011001011010?\nAnswer: -1011010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 - 3*q + 4. Let n(r) = -2*r**2 - 3*r + 4. Let f(h) = -2*n(h) + 3*u(h). Calculate the least common multiple of f(3) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22637148 divided by 4\nAnswer: 5659287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the third derivative of h**5\/15 - h**3\/3 + 30*h**2. Let x(a) = 21*a**2 + a - 10. What is 11*l(u) - 2*x(u)?\nAnswer: 2*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-6*(sqrt(156) + sqrt(156)*-1) + 1*(sqrt(156) - -2*sqrt(156))))\/(-4*sqrt(768) + -1*sqrt(972) + sqrt(12)).\nAnswer: -3*sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2028 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*t**5 + 32*t**4 + 14655*t**3 + 1133561*t**2 - 26*t wrt t.\nAnswer: 120*t**2 + 768*t + 87930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1\/5  (b) -3948  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-25))\/((-24)\/(-16)*80\/(-75))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(117) - (2*sqrt(117)*-2 + sqrt(117) - sqrt(117) - sqrt(117)))\/sqrt(9)*-2)**2 + ((sqrt(468) + -1)*6 + 0)**2.\nAnswer: -432*sqrt(13) + 18758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9675*w - 10082*w - 4*w**2 + 19757*w.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of 8*o**3\/3 - 47*o**2 + 75*o. Let v be w(6). Solve 3*f + 0*m = 2*m - 3, v*f - 2*m + 2 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 17044351, 34088707, 51133063, 68177419, 85221775, 102266131?\n\"Answer: 17044356*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 37204 and 2096.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5750 - -5749. Which is the second smallest value?  (a) f  (b) 11  (c) 1\/4  (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*((-4)\/10)\/(11\/(55\/2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(7))*-6 + 5*(-1 + sqrt(7)) + (-2 + -1*sqrt(7) + -3)*1.\nAnswer: -22 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -112*j + 82*j + 60. Let c(s) = -s - 1068*s**2 + s**3 + 2 + 2 - 5 + 1073*s**j. What is c(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -50 or -6074\/123?\nAnswer: -6074\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 + 11. Suppose -9 = 3*r - l*r. Which is the third biggest value?  (a) r  (b) -0.2  (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-12)\/36 + (-2)\/(-6) + 1. Put -4, -1, y, 0 in decreasing order.\nAnswer: y, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 14*k**2 + 51*k - 14. Let n(q) = -5*q**2 - 17*q + 5. What is 17*n(v) + 6*x(v)?\nAnswer: -v**2 + 17*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + 0 + -16 - (-5 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 - (-126)\/72)\/((-28)\/(-112))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4.96 + 4.86. Let c be (-35)\/220 + 3\/12. Sort c, d, 1\/3.\nAnswer: d, c, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = 7\/335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5025, -41546, -140659, -333660, -651845?\n\"Answer: -5216*v**3 - 9*v + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 216.4644 months?\nAnswer: 18.0387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -9*o. Let x(m) be the first derivative of -2*m**3\/3 + 6. Determine x(p(b)).\nAnswer: -162*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -90.147114807 - -0.147111107. Let b = -90.173 - -0.173. Let x = j - b. Round x to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5236 is divided by ((-140)\/6)\/10*18\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-93)*2\/14*280\/80.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -3*a - 2*a. Let f be 1\/(-3) - 1\/(-3). Let p(b) = -b + 47. What is the remainder when p(f) is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5479 divided by -6?\nAnswer: -5479\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 135\/(-3900)*10*104\/(-96)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - 5) + 5 - (-7 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -468*s + 456*s - 36 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3671 is divided by 167?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:34 PM and 11:34 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j. Let q(y) = 3325*y**2 + 2148. What is x(q(s))?\nAnswer: -3325*s**2 - 2148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40\/(-32)*-2*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8161046146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10790)\/770 + (-44)\/(-3388).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -643272*o = -643203*o - 207. Solve -4\/5*q**2 + 0 - 4\/5*q**5 + 4\/5*q**o + 4\/5*q**4 + 0*q = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oxoooooo. Give prob of sequence ooxo.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1\/3, 0, 4, 5\/78, -1\/6 in increasing order.\nAnswer: -4, -1\/6, 0, 5\/78, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 1107*u**2 - 14*u - 1. Let g(o) = -5526*o**2 + 69*o + 5. Let w(a) = -6*g(a) - 33*q(a). What is the second derivative of w(v) wrt v?\nAnswer: -6750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.2, 13.2, -2, 2787, 6\/11, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1255695, -2512378, -3769063, -5025750, -6282439, -7539130, -8795823?\n\"Answer: -z**2 - 1256680*z + 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 - 33*t**2 + 3. Let v be y(33). What are the prime factors of (-4 + 4)\/v - (-463 + -1)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 137770197?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-19)\/(-1))\/(-1*(29\/(-174))\/((-2)\/6)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - k - 0*k - 2, 3*o + 4*k + 9 = 0. Suppose -2*m + 4*r + 4 = -2, m + 2*r = -o. Solve m + 11 = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 5 = 4*g, -5*g + 2*q = 4*q + 2. Suppose 5*k - k - 40 = g. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0\/(35\/5 + -4). Suppose -15*l + 9*l + 168 = h. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1391, -13, 2, 1.\nAnswer: -13, 0.1391, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 220 - 152. Suppose z + 47 - f = 0. Suppose 0 = -3*w, -2*w = -5*g - 0*g + 55. What is the highest common divisor of g and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -62, -0.23, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4*2*5)\/1. Suppose 0 = q - 6*q + 5, 10 = 2*z - 2*q. Let n(h) = -h**3 + 6*h**2 + 6*h + 4. Let x be n(z). Do d and x have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 6, -4\/5, -755.6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*z**2\/5 + 12108*z\/5 + 480480.\nAnswer: -6*(z - 2200)*(z + 182)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -16*p + 15 + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 15\/(-3) + (-120)\/(-15). Suppose -y*p = -6*p - 6, -169 = 5*v + 2*p. Which is smaller: 1\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11 - 43 - 55)*(-12*m + 0 - 1 + 18*m) to the form t*m + o and give t.\nAnswer: -654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 401147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(4608)*1 + (sqrt(32) - (sqrt(32) - sqrt(288)*1))*-2)**2*3.\nAnswer: 86400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 183 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/466072 and 113\/18774?\nAnswer: 29362536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 47916839*q - 61350775.\nAnswer: 47916839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -864, -924, -982, -1038, -1092, -1144?\nAnswer: -1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.3 + 0.1. Let s = 1 + 1. Which is the second biggest value?  (a) r  (b) s  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1912 = -14*d + 6*d. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*f*r**2 - 11*f*r - 30*f - 15736*r**2 + 5*r - 201339 wrt r.\nAnswer: 6*f*r - 11*f - 31472*r + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*a**2 + a**2 - a**2)*(-2*a + 2*a**3 + 2*a) + 4*a**5 - 5*a**5 - 2*a**5.\nAnswer: -15*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + 3. Suppose -y*z - 3*t + 595 = -0*t, 112 = z + 2*t. Let q = z + -85. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 190*u - 12*u + 6*u + 544 - 555.\nAnswer: 184*u - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 3*f - 10. Let k = -10 + 17. Let j be p(k). Let x(v) = -j - 2*v - 5*v + 6*v. What is x(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1\/647 - -7099\/11646. Let q be 111468\/15 + 1*(-6)\/30. Let y = q + -163549\/22. What is the common denominator of y and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let w = 25188 - 25153. What is the greatest common divisor of 455 and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -322*x**3 + 309*x**2 + 307159*x wrt x?\nAnswer: -1932*x + 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/(-1))\/((-1)\/(-2)). Suppose 5 = -5*b, l + 0*b - t*b - 3 = 0. Calculate the highest common divisor of l and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17357 - 10953. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of 0*a - 1\/60*a**5 + 0 - 1\/6*a**3 + 10*a**2 + 1\/120*a**6 + 0*a**4. Give c(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25185228451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7870530*r**3 + 24617477*r?\nAnswer: -47223180*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6\/13393 or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from {c: 1, d: 2, b: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**3 + 0*a**3 + 3*a**4)*(1 + 6 - 4)*(1 + 0 - 2).\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.41 or 36673.6?\nAnswer: 36673.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*a - 4*a + 9 = -y, 5*a + 23 = 13*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bkm when three letters picked without replacement from {b: 4, t: 4, k: 4, p: 1, m: 3, y: 1}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 - 11. Let h = 3648 + -3648.2. Put -1\/3, 1, u, h in decreasing order.\nAnswer: 1, h, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1007 + 1027. What is the least common multiple of x and 824?\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56402*(88\/(-16) - -6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10 - 35 - 18*i + 14*i + (-2*i + 0*i + 4*i)*(-2 + 0 + 1).\nAnswer: -6*i - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*(a\/a**(-3))\/a*a*a**(1\/5))\/((a*a**(2\/15))\/(a**(-2\/11)*a)))**(10\/13) assuming a is positive.\nAnswer: a**(124\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 999223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4936 - 15192 = -17*j. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 914369 is divided by 65.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 2 = 2*q. Let j = 0 + q. Suppose 2*p = -2*p + 16. Solve -p*c + 2 = -j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*w**3 + 974251*w**2 - 974251*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1232 and 10549.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5050, 20212, 45490, 80890, 126418, 182080, 247882, 323830?\nAnswer: 409930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -208222, -210322, -212422?\n\"Answer: -2100*v - 206122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -j*n**2 + 9*j - 507*n**4 + 4 wrt n?\nAnswer: -2*j*n - 2028*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 5 = 16*d, 2*w - 77 = 4*d - 91 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7513195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 4*y + 2. Let g be c(4). Suppose 2*r - g = -r. Suppose m + 3 = r. What is the greatest common divisor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -1\/3  (c) 1\/3  (d) -2\/349\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -9  (b) -2\/3  (c) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:29 PM and 8:11 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1236, -2473, -3710, -4947?\n\"Answer: -1237*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/2, -6722, -1\/80?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12127.\nAnswer: 67, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 2*f + 3 + 9*f + 44*f + 12*f + (2 - 3 + 0)*(-4*f + 0*f + 3*f))*(3*f**2 - 2*f**2 + f**2) in the form t + a*f**2 + u*f**3 + y*f and give u.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -157 or 2014286?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(1331) + sqrt(1331) + -1 + sqrt(1331) + 1)**2 - sqrt(1331)).\nAnswer: -33*sqrt(11) + 35937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 229 a factor of 8656868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11\/8 - 25\/4. Find the common denominator of ((-1)\/21)\/(18\/(-2751)) and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -2*q + 5 - 0, 0 = -q + 2*o + 7. Suppose -460 - 380 = -q*k. Let v = 43 + k. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by -16?\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 30\/9*3\/12*6. Suppose 3*j - g*i - 59 = 0, -j - i = -4*i - 13. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21*p - 24*p + 1038 + 702 - 366 to the form w*p + q and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of -3*q - 38*q**2 + 12*q**2 - 14 + 9 + 8. What are the prime factors of f(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 10 - 2 = 0. Suppose 0 = -l*n + 37 + 19. Let p(f) = -10*f + 224. Let z be p(7). What is the greatest common divisor of n and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3378*p - 5 - 1109*p - 16*p**2 + 4487*p + 5.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 - 14*y**2 + 16*y. What is the units digit of k(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -595 + 609. Let d be (42\/a)\/((-3628)\/8 - 1). Is d smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 3*d**3 - 29*d**2 + 19*d - 11. Let h be n(9). Is h >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 1.844441\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 77 - (-77)\/(-4257)*4429.\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -202.34 - -223.6. Let r = 21.1573 - j. Round r to 3 decimal places.\nAnswer: -0.103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 258517 + 0.3.\nAnswer: 258517.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 7\/(14\/(-6))*2. Let q = 13969896 - 15380863579\/1101. Let j = q - -3\/367. Is w greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 5*q - 560, 301 = 4*q - 5*t - 152. Let g = q - 1181\/11. Find the common denominator of 35\/8 and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 6, t: 6}. Give prob of picking 2 t and 1 q.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 4*f**5 - 4*f**3 - 7*f + 7. Let j(h) = -4*h**5 + 4*h**3 + 6*h - 6. Let w(r) = -7*j(r) - 6*s(r). Factor w(b).\nAnswer: 4*b**3*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5\/2  (b) -6\/11  (c) -13  (d) 0.08  (e) -1  (f) -119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 168 a factor of 27427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 2343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, -3, -4\/11, 0.1, -13 in descending order.\nAnswer: 1\/4, 0.1, -4\/11, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 70579224 and 252?\nAnswer: 494054568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 436*d**3 - 11*d**2 - 10*d + 17. Suppose 0 = f - 28 + 35. Let y be x(f). Round y to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 286 + 9. List the prime factors of w.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -18, -98028, 5 in decreasing order.\nAnswer: 5, 0, -18, -98028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -5, 5, -2, -16774, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f**3\/6 - f**2\/2 = 0. Calculate f.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 660 = -3*m. What is m rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1449 - 4*z**4 - 717 - 732 - 126*z**3 + 2199*z wrt z?\nAnswer: -48*z**2 - 756*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h**2 + 188*h - 528 = 0 for h.\nAnswer: 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*2*3\/(7 - 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (4\/6)\/(19\/(-57)) - -84?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22737 + -22689 - (4 + -2 - 24)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 5*x - 6230 = 0, 0 = -z + 2*x + 2*x + 1266. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v*v*v\/(v\/v**(-1\/4))))\/(v*v*v**(-4)))\/(v*v**(-5)*v*v\/v**(-2\/7)) assuming v is positive.\nAnswer: v**(83\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 284*j - 91*j - 130*j**3 - 93*j - 100*j + 114*j**3.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 18*v**2 - 4*v. Let u be r(3). Let j = u + -83. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 - 5. Suppose -2*c - v*j - 11 = 0, 3*j + 24 = 2*c - j. Let x = -37152 + 37152. Put 5, x, c, -1 in decreasing order.\nAnswer: 5, c, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1648129 or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1644 divided by -116?\nAnswer: -411\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 785 - 784. Put 4, q, 49, -4 in descending order.\nAnswer: 49, 4, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6519 (base 15) to base 12\nAnswer: 10473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**3 - 184*n**2 - 2788*n - 13872.\nAnswer: -4*(n + 12)*(n + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*f = 18638 + 13030. Suppose -4*z = 3*i - f - 3956, 4*z - 4*i - 6616 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9566200 divided by -20.\nAnswer: -478310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 4*y - 5. Let s(a) = -11*a + 14. Let h(w) = -8*p(w) - 3*s(w). Let f be h(6). Suppose -671 = -271*m + 142. Solve f*z - z = -m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0051890852 to 5 dps.\nAnswer: 0.00519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0, 341 in ascending order.\nAnswer: -4, 0, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*i = 186*i + 243*i - 15096 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x + 425*x**2 - 617*x**2 + 446*x**2)*(-3*x**2 + 2*x**2 + 2*x**2).\nAnswer: 254*x**4 + 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/(8\/(-90)))\/((-21)\/28). Let x be (300\/z)\/((-6)\/2 - -1). Let l(u) = -3*u**3 - 3*u - 4. Let r be l(-1). Which is smaller: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-52)\/(-6) + -1 - (1 - (-70)\/10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 times -2667.75?\nAnswer: 45351.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.7  (b) -9  (c) -3  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -12, -97752, 4 in descending order.\nAnswer: 4, -4, -12, -97752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -60*l - 173. Let h be j(-8). Let m = -285 + h. Calculate the remainder when 128 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 - -0.9. Let s = -143217 - -143221. What is the third biggest value in a, 7, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 3*i + 6359, -i + 5 = 3. List the prime factors of l.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 + 9*o - 4. Let f be z(-10). Solve -r = 2*l, -3*r = -f*l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 22*l**3 + 2219*l**2 - 3*l + 30299. What is z(-101)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 279792135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 221*q - 2. Let k(s) = 449*s - 3. What is -5*g(l) + 3*k(l)?\nAnswer: 242*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4015, -8032, -12049, -16066, -20083, -24100?\nAnswer: -28117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from xfxxffffxmfmfmmm.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*u = 23 + 9. Solve 0 = 2*o + u - 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -118*-1154\nAnswer: 136172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 18\/28*(-192)\/(-216) + (-18)\/56. Let u = -0.01 + -0.29. Let z be -1*(-1 + 2)*1. Sort z, u, h in ascending order.\nAnswer: z, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -2*q + 5. Let n = -20 + 21. Which is the nearest to q?  (a) 2  (b) 3\/7  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45436200 to the power of 1\/3, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**3\/2 + 25403*x**2\/2 - 25405*x.\nAnswer: x*(x - 2)*(x + 25405)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/15  (b) 4  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) -2\/44915  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add -674 and 2.\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, 0.1, -3, 1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/(-5)*(((-1300)\/210)\/13)\/(-2).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 31*y + 5. Let x(h) = 340*h + 55. Let q(k) = 65*j(k) - 6*x(k). Let b(o) = o**2 + 2*o - 1. Calculate the smallest common multiple of b(1) and q(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 197 + -200. Let r be 3*2\/9*-1. What is the nearest to r in t, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5480429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-4) - 1908\/16. Let j = 6 - -66. Let s = j - x. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 8*g**2 + 134. Let x(v) = -81*v**2 - 1332. What is -21*f(h) - 2*x(h)?\nAnswer: -6*h**2 - 150","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -32775*j**3*l**3 - j**3 - 4*j*l**3 + j - 16198*l**3 + l**2 wrt j.\nAnswer: -196650*j*l**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -7*x**3 - 2*x**2 - 2*x - 2. Let c be a(-1). Solve 5*o + 1 + 17 = 3*z, -c*o - 5*z = 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*t + t - 3*t)*(-4 + 0 + 2) + 2*t - 1 + 1)*(0*t - 3*t + 2*t).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/5888 and 91\/24.\nAnswer: 17664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5400 or 5401?\nAnswer: 5400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 3*c**3 + 7*c**2 + 6. Let s be d(-3). Is (-2)\/s*92*(-105)\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-5)\/(5\/(-2)))\/1. Let p be (-1)\/2 - (-13)\/n. Let h be 4\/p + (-6)\/(-9). What is the nearest to -1\/2 in h, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 741 - 723.16. Let f = -17.7 + s. Which is the biggest value?  (a) -0.3  (b) f  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5)\/10*(10 + -14). Suppose k = j - h - 11, 2*j = -h + 17. Calculate the highest common factor of 90 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d**3 + 3*d - 3. Suppose 5 = -422*j + 427*j. Let q be a(j). Solve 0 + 0*n - 6\/7*n**3 + 0*n**q = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 9:18 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(33)\/(sqrt(6)\/sqrt(2)) - sqrt(11)) + 2*sqrt(11)*1)*-6)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 179*z + 319 = 208*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -14\/122253 and 131\/210.\nAnswer: 8557710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 - 1. List the prime factors of f(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 74, 118, 162, 206?\n\"Answer: 44*r + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 6, n: 1, d: 1, f: 2, h: 8}. Give prob of picking 1 u and 1 f.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 3*d**2 - 5. Let t(k) = 519057 - 47*k - 519057. Determine t(m(z)).\nAnswer: -141*z**2 + 235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/3)*m*(m*m**(3\/4))\/m*m*m)\/((m**(-6\/7)\/m)\/(m\/m**(-1\/13))) assuming m is positive.\nAnswer: m**(6571\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 75 - 53. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 12) to base 13\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve n**2\/10 - 91*n\/10 - 33156\/5 = 0.\nAnswer: -216, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 3*s - 31, 4*s + s = -4*w + 29. Let h(j) = j**3 - 3*j**2 + 8*j - 12. Let f be h(s). Calculate the remainder when f\/22 + (-4)\/(-22) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -8 - (3 + -2) - 3. Let v = r - -6. Let u(w) = -w**3 - 5*w**2 + 6*w + 3. Give u(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -43*s**2 - 5243*s + 250. Determine o(-122).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 b, and 1 p when three letters picked without replacement from qbpccbxcccpcycc.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6802*-41.\nAnswer: 278882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**4\/13 - 335276*d**3\/13 + 14051920058*d**2\/13 - 56203656984*d\/13 + 56202315912\/13 = 0.\nAnswer: 2, 83817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 786 and 10?\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 3*q**2 + q - 3*q**2 - q + (2*q - 2*q - q)*(3*q - 2*q + q) + 2*q**2 - 2*q**2 - 3*q**2)*(-2*q**2 + q - q).\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 28\/(-20)*-2*41\/(328\/80)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*i + 5*i**2 + 11*i + 6*i**3 + i**4 - 5*i**2 to the form a*i + l*i**3 + x + k*i**2 + w*i**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -234, -228, -218, -204, -186?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/738 and -37\/984?\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 392\/154 + -2 + (-32)\/(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51975?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 9:43 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 + (0 - -4)\/4. Suppose -q*u = -110 + 8. Suppose -4*y + 33 = 5*k, 5*y = 2*k - k + u. What is the smallest common multiple of 1 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 2:37 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, d: 2}. Give prob of sequence ndd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-1)\/(-2))\/((-13)\/(-91)))\/((-5)\/(-40)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 5690683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 3*c - 26. Does 3 divide f(32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 3*q + 44. Let c be d(-6). Let f(l) = -3*l**2 + l + 2. Let r be f(-2). Let x = c + r. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (90\/(-48))\/(6*1\/16*-4)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**2 - 10*b. Give i(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -3*u**2 + u - 4. Let t = 129 + -128. Let d(y) = -y**2 + y - 1. Give t*n(w) - 4*d(w).\nAnswer: w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are -173 and 23849 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 576250*l**3*z - 43*l**3 - l**2 - 9*l + 23 wrt z?\nAnswer: 576250*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7421071?\nAnswer: 7, 29, 139, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.8 in -1, 3, 2\/17, -4.3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 959 + -1009 - (-7 - (-28 + -3))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 135.213 + -0.213. Let q = x - 145.8. What is q rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (-5 + 11) - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the first derivative of 4*g**3 + 0*g + 0*g**2 + 3\/4*g**4 - 5. Factor v(n).\nAnswer: 3*n**2*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40 - 17 - 20)\/(3\/16*-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1326 and 7303302?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.2 + -0.3. Let c = -0.3 + 0.3. Let i = -492 - -493. What is the biggest value in c, a, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*q - 8*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 13 = -4*a, 7*a + 5*l = 4*a + 17. Let d(m) = m**3 - 4*m**2 + 4*m + 2. Determine d(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 256, -0.2, -6, 2 in increasing order.\nAnswer: -6, -0.2, 2, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 117 - 81. Calculate the highest common factor of c and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1052 divided by -31642.\nAnswer: -526\/15821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48\/(-36))\/(278\/(-30) + 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 63766596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and -8.8.\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1050 is divided by 145?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of 2*k**3\/63 + 21. Determine h, given that b(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 3*m**2 - 31*m + 17. Let g(x) = -x**2 + 4*x - 2. Give 8*g(t) + w(t).\nAnswer: -5*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 101717641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7977, -31846, -71611, -127260, -198781, -286162, -389391, -508456?\nAnswer: -643345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*s - 5522400 = -222*s. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.90355572 take away -0.17?\nAnswer: -11.73355572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 324 and 44?\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -3*o + b, 0 = 35272*o - 35275*o - 2*b - 58 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 36350, 72810, 109270, 145730?\n\"Answer: 36460*u - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*p + p + 0*p)*(-5*p + 2*p + p) - 5*p + p**2 + 5*p + (1 + 2*p**2 - 1)*(-2 - 3 + 4).\nAnswer: -29*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 2*c = -17, 6*a + 182*c - 184*c + 72 = 0 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -460 = w + 5*k, -5*w + 4*k + 1516 = 3932. Let p be w\/(-24) - 4\/1. What is the highest common factor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((2 - 3) + -5)*(-2)\/30. Put 3\/7, -0.1, d, 1\/2 in ascending order.\nAnswer: -0.1, d, 3\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1425 + -20?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1121\/1476 - 3\/164. Calculate the common denominator of -5\/51 and k.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, 0, -5\/4, 1\/3, 8, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -0.0094395.\nAnswer: -0.0094395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*j**4 + 4*j**3 + 5*j**4 + 10*j**4 + 3 - 3*j**3 to the form g*j**3 + q*j**4 + n + c*j**2 + k*j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(5*(sqrt(1573) + 4 - sqrt(1573)) - sqrt(1573)) + 3)**2.\nAnswer: -3762*sqrt(13) + 17406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 503 + -144. Let d = u + 198. What are the prime factors of d?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/9))**(-32)\/((q*q*q**(1\/10)*q*q)\/(q\/(q**10*q))) assuming q is positive.\nAnswer: q**(-1909\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 7:59 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -578.3 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-1 + sqrt(425) + sqrt(425) + -2)**2.\nAnswer: -10254 + 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/4?  (a) 1\/3  (b) -3  (c) -5  (d) 2\/103\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v\/(v*v\/v**20)*v)\/v*v)\/(v*v*v\/((v*v\/(v*(v*v**(-4))\/v*v))\/v)*v) assuming v is positive.\nAnswer: v**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/1281020 or 0?\nAnswer: -1\/1281020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-100)*45)\/((-3)\/8)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the third derivative of -i**6\/100 + 2*i**5\/75 + i**4\/12 - 2*i**3\/15 - i**2. Let k(n) = 0. Calculate n.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = -2*p, 0 = 20*p - 16*p - 5*n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/11*a**2 + 8\/11*a + 6\/11.\nAnswer: 2*(a + 1)*(a + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 3*a**2 + 40*a + 40. What is the remainder when d(-15) is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 16*k - 104 + 8 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 39938 + -22653. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 - 40 = -x. Suppose x*j + 9*o + 8 = 5*o, -37 = -4*j + 5*o. What is the units digit of ((-2)\/j)\/(2\/(-507))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*r**5 + 168*r**4 - 324*r**3 - 6*r**2 + 327*r - 162 = 0. Calculate r.\nAnswer: -1, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = m + 2*j, 5*m + 36 = m - 5*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3*n - 2)*(0*n + 0*n - n + (-n - n + 5*n)*(-3 + 1 + 3)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 5:44 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2 - 0.2. Let r = f + -3. What is the smallest value in -1, -0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44573463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + u + 11 = 0, -5*i + 3*u + 23 = -4. Let r(f) = -f**3 + 8*f**2 - 11*f + 2. Calculate r(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 2*n - 21 = -6*n, j - 18 = -5*n. Let x be 1\/3 + (-15)\/(-45). Factor 2\/7 + 10\/21*w**2 - 2\/21*w**j - x*w.\nAnswer: -2*(w - 3)*(w - 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 13  (b) -2  (c) -0.2  (d) 9  (e) 292\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of -o**3\/3 + 5*o + 5. Let a(y) be the second derivative of y**4\/2 + y. Calculate z(a(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**4\/2 + 9*i**3\/2 - 3*i**2\/2 - 29*i\/2 - 9.\nAnswer: (i - 2)*(i + 1)**2*(i + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 1107825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(85)*2 - sqrt(85) - (-4*(sqrt(85) - sqrt(85)*-2) - sqrt(85)))*-5)\/((sqrt(35) - (sqrt(385)\/(sqrt(33)\/sqrt(3)) + sqrt(35)))\/(-3*sqrt(175))).\nAnswer: -150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(56)*-5 + sqrt(280)\/(sqrt(5) - sqrt(45)))\/(sqrt(63)\/(sqrt(576)\/sqrt(4)))*3.\nAnswer: -132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12836545789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from elpellldopolplo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 440 and 160.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*j - 105*j + 1045 + 572 = 0 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 539*g**3 + 2265*g**2 - 2*g + 4517250 wrt g?\nAnswer: 1617*g**2 + 4530*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 2017186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l. Let j(h) = h. What is 6*f(z) - 4*j(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 482, 490, 510, 548, 610, 702?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 406659.22 to the nearest 1000.\nAnswer: 407000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -73248811*w. Let b(n) = 2*n**2. Calculate m(b(h)).\nAnswer: -146497622*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 459 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -235.74 and -0.1.\nAnswer: 23.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 12*r**2 + 2*r - 5. Let c(m) = 23*m**2 + 3*m - 9. Let h(y) = -4*c(y) + 7*k(y). Suppose -7 + 4 = 3*i. Determine h(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m and 1 d when four letters picked without replacement from dmbmmdmmb.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-668)\/14*7\/(-1)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 3*y. Let m(o) = 3*o. Suppose 2*g + 2*g + 24 = 0. Let f(i) = g*m(i) + 5*v(i). Let l(j) = 1 - 4 - 9*j**2 + 3. Determine f(l(s)).\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -2*z. Let l(c) = 161753*c**2. Give l(m(r)).\nAnswer: 647012*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + 1100002220?\nAnswer: 1100002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24143.\nAnswer: 7, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2282 + 3?\nAnswer: 2285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -539 = -3*a - 443. Calculate the greatest common factor of a and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 3*d**5 - 7096*d**4 + 9445*d**3 + 26020*d**2 - 37828*d + 9456 = 0.\nAnswer: -2, 1\/3, 1, 2, 2364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3962*h + 6276 - 6276 to the form t + l*h and give l.\nAnswer: -3962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 14*r**2 - 24*r - 42. Let x(y) = -5*y**2 + 8*y + 14. Suppose g + 3 = -3. Let a(c) = g*d(c) - 17*x(c). Let i be a(-6). Solve 0 = 3*n + i*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -2*a**2 - 120*a + 650. What is u(-65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 4 - 2186*h + 403*h.\nAnswer: -1783*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4\/7 or -1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of -11*r**3\/3 - 2*r**2 + 1358*r + 1. Calculate q(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t - 285 = -t. Let f be (1 + (2 - 2))*t. Does f = -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (-1 - 2) - -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 261 and 468?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22025088 and 1728.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -69\/13 + 1821\/130. Calculate the common denominator of 77\/2 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from xyxef.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -206*l + 15 = -h - 204*l, -3*h - 17 = -13*l for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/112160 and 81\/112160.\nAnswer: 112160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of 22*q**5\/5 - q**4\/2 + 85*q**3\/3 + 45. What is the third derivative of j(a) wrt a?\nAnswer: 528*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.216 + 0.22. What is w rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*w**2 - w**4 - 2*w**4 - 12*w**2 - 2 + w**4 in the form n*w**4 + y*w**3 + q*w + f*w**2 + m and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19398 + -14883.6. What is n rounded to the nearest 10?\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 3*j - 7, 3*w = -3*j + 2 - 5. Let n(q) = -5*q - 3. Let g be n(w). Suppose -r + 3 = -g. What is the greatest common divisor of r and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.77 - 0.87. Let u = 48 + -34. Let j = u + -13. Which is the third biggest value?  (a) j  (b) s  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 5600, 10995, 16184, 21167, 25944?\n\"Answer: -103*h**2 + 5704*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (40 - 11) + 27 + -22\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5114 (base 11) to base 4.\nAnswer: -1222013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1918\/(-42) - -1 - 187\/(-51)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24476 is divided by 1880?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 5 - 5*k**3 + 2*k - 7*k**3 - k**2 + 0*k**3 as f*k**2 + w + z*k + i*k**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2509*g**3*q + 2*g**2*q - 2*g**2 + 393*q wrt g?\nAnswer: 15054*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4765 less than 3.1070623?\nAnswer: -4761.8929377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -86109377, -86109370, -86109363, -86109356, -86109349, -86109342?\nAnswer: -86109335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + z - 3*m = 77, -4*z - 297 = m. Is (z - -7)\/(-1 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0562373 tonnes to milligrams.\nAnswer: 56237300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49187566?\nAnswer: 2, 24593783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/9*q**2 - 1262\/9*q - 140 = 0. What is q?\nAnswer: -630, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8950640431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*j + 9108 + 32202. What are the prime factors of j?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1 or 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 17 = -n, 14 = 2*n - 2*r - 8. Suppose 4*h + 75 - 211 = 0. Calculate the remainder when h is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 2*d - 5*f + 5, 3 = 3*f. Solve 4 = -c - d*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -3*v**4\/2 + 21*v**3\/2 - 21*v**2\/2 - 45*v\/2 = 0.\nAnswer: -1, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1762\/50217 - (159\/(-342) + 0).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - (11 - 5865\/990))\/((-50)\/1310) + -2?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 160645064 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 12, 19, 22, 21, 16, 7?\n\"Answer: -2*w**2 + 13*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 2*g**4 - 18*g**3 - 3760*g**2 - 19800*g + 140000 = 0.\nAnswer: -35, -10, 4, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 4 + 5 = 0. Let f be j + 1 - (-3 + 2). Let g(c) = c**3 + 16*c**2 + 14*c. Let p be g(-15). Solve -f*o = -0*o + p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.01  (b) -2  (c) 0.3  (d) -5  (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 18 + 2. Let s be (-123)\/(-5) + (-4)\/(-10). Let b be (-4)\/(-10) - (-40)\/s. Solve -b*y + y = f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6772596 to the power of 1\/2, to the nearest integer?\nAnswer: 2602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 3*y - 10339 = 10214, -5*k - 102809 = 4*y. What is the hundreds digit of ((-3)\/12)\/(k\/5140 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16216*x + 6644*x - 952*x.\nAnswer: 21908*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -10 - 8*y**2 + 6 - y**3 - 8*y - 3. Let c be g(-7). Let t(s) = 15*s**3 + s**2 - 1. Let v be t(1). Solve c = -4*r + r - v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 43609, 43616, 43621, 43624?\n\"Answer: -v**2 + 10*v + 43600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**4\/2 - 29*s**3 - 779*s**2\/2 + 899*s.\nAnswer: -s*(s - 2)*(s + 29)*(s + 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 59875.05l in millilitres?\nAnswer: 59875050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-4) + 40526\/(-8). Let w = r - -40597\/8. Let h = -3541\/11 - -318. What is the common denominator of w and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g\/g**(-1\/3))\/g)**(-2\/179)\/(g**(1\/4)\/g)**(-13\/8))**(-8))**50 assuming g is positive.\nAnswer: g**(525175\/1074)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3396069?\nAnswer: 3, 401, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 704 and 2629?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 107731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-15))\/(0 - 3\/(-15)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 51286399?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/8604150 and 57\/694370.\nAnswer: 197895450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 56, 156, 330, 584, 924, 1356, 1886, 2520?\n\"Answer: r**3 + 31*r**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*s - 141*s + 35*s + 2512 = -4*r, r = -3*s - 0*r + 65 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35, -4, -1, 2, -7, 5, -40.\nAnswer: -40, -35, -7, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 18141042757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u**(1\/8))**(-2\/67)*u*u**31*u*(u**(-8\/7)\/u*u)\/u assuming u is positive.\nAnswer: u**(57769\/1876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67 + 62 + 4*q**2 - 201 - 2*q + 72.\nAnswer: 4*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -312112221 + 3?\nAnswer: -312112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of -d**6\/8 - 817*d**2. Determine p(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1089 and 157078742?\nAnswer: 157079831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*v + 881 - v + 891 - 2621 + 869 in the form x + o*v and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 + (-4)\/(-2))*-2. Suppose 4*p = -t - 0 - 4, -g*t + 2*p = -20. Let c(k) = -t - 5*k + 4 + 3*k. Let r(f) = -3*f**2. What is r(c(a))?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4\/7  (b) 1\/5  (c) 3  (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 45 = 5*u, 4*u + 13 - 49 = -5*a. Let p(o) = 5*o + 1 - 8 + 4*o**2 - 3 + 0. Is p(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 80416 and 11522?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74676 is divided by 37333.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 - 8*t**2 + 7*t - 13. Let n = 6 - 15. Let o be v(n). Sort o, -4, 4 in descending order.\nAnswer: o, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the third derivative of -b**6\/15 + b**4\/12 - b**3\/6 + 7*b**2. Calculate w(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 + 21 - 13 = -4*v - 2*j, -3*j = -6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q - 1. Let o be n(6). Let h be ((-15)\/2)\/3*-2. Let k = h + o. Solve -2*c + 21 - 5 = -4*p, -2*c + k = -2*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93.87697us to seconds.\nAnswer: 0.00009387697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 6*w - 4. Let t(f) = 7*f - 5. Let g(s) = 5*o(s) - 4*t(s). Let z(m) = 8*m. What is g(z(d))?\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 125\/171122 and 151\/1190.\nAnswer: 855610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 21584 plus -0.02?\nAnswer: 21583.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1148709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**9)\/j)\/j*j**(-8)*(j**1)**(18\/7) assuming j is positive.\nAnswer: j**(-108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 11270 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: What is the third biggest value in 1, -2\/121, 3, -4, 1.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -5*19\/((-570)\/12). Solve -2*b = -k*b - 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 3*z**2 + 23*z - 7. Let k be n(-7). Let s = -68\/3 - k. Let g = -7.04 + 0.04. Which is the smallest value?  (a) s  (b) -4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4173450.\nAnswer: 2, 3, 5, 27823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 - 3*v**2 - 5*v + 2. Let i be w(3). Find the common denominator of -31*1*1*i\/(-78) and 31\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 86497866?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hvhv when four letters picked without replacement from hvvvvvvvvhhvhvhvvh.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/(-3) - -11)*-1. Let i = 15 + v. Let a(z) = -z**3 + 10*z**2 - 8*z - 1. Calculate the smallest common multiple of a(9) and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.2086685 millilitres?\nAnswer: 0.0002086685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -21*i - 4. Calculate a(3).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(-4)\/224*-4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the first derivative of 1\/60*g**5 + 0*g + 1\/720*g**6 - 1 + 1\/16*g**4 + 0*g**2 - 4\/3*g**3. Let h(a) be the third derivative of q(a). Factor h(j).\nAnswer: (j + 1)*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2021 (base 12) in base 2?\nAnswer: -110110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10020 (base 3) in base 14?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.912863 and 65.\nAnswer: -59.336095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 414 - 556056?\nAnswer: -555442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6937 + 148 = 1721*a + 201 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 + t**2 - 1. Let d be m(-1). Solve r + d = -1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -180 + 180.95. Round x to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**3 + 9*y**2 - y - 9. What is h(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of 6*i**5\/5 - 31*i**4\/12 - 6*i. Find the third derivative of g(r) wrt r.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-4\/3))\/k*k*k**14*(k*k**(-11)*k)**(-17\/3) assuming k is positive.\nAnswer: k**(202\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 22331303 - -2?\nAnswer: 22331311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -204 times -5\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-z**3 + z**3 + z**3)*(-142*z - 1 + 1 - 41*z) to the form u*z**4 + f*z**3 + t*z + j*z**2 + c and give u.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 + -31503533202?\nAnswer: -31503533204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -4*t**3 - 30*t**2 + 18*t + 13. Let p be c(-8). Let i(b) = 3*b**3 + 4*b**2 + b - 2. Calculate i(p).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.9 and -139874 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 - 24276?\nAnswer: -24271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18756 by -3.\nAnswer: 6252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6582870.\nAnswer: 2, 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) -0.2  (c) -291375\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 17246 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 10010010001110011 (base 2) in base 9?\nAnswer: 123625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6464574 + -13?\nAnswer: 6464561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -3*n**3 + 4*n**2 + 4*n + 2. Let b(w) = 3*w**3 - 3*w**2 - 3*w - 2. Let h(m) = m**3 - 17*m**2 + 3*m - 54. Let t be h(17). Calculate t*u(c) - 4*b(c).\nAnswer: -3*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + 6454725?\nAnswer: 6454720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 - o - o**3 + 7 + 0 - 3 - 5. Let f(a) = 8*a**3 + 2*a**2 + 5*a + 5. Let q(l) = 5*d(l) + f(l). What is the third derivative of q(y) wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 2*v - 8. Let d be j(5). Solve -4 = 6*s - d*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1296750 a multiple of 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 133463364 (base 7) to base 10.\nAnswer: 8671233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*z + 20*z**3 + 16*z**4 - 15*z**4 + 8*z + z**2 in the form t*z + x*z**2 + w*z**3 + s + b*z**4 and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*d**4 + 3 + 8*d + d**2 + 2*d**4 - 1 in the form v + y*d + p*d**4 + t*d**3 + i*d**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 - 2*m + 6. Let z be h(-5). Let d be (2 + 1)*(-24)\/z. Suppose -32 = -0*g - 8*g. What is the highest common factor of g and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -21 >= 3\/164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 74966 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the third derivative of h**4\/12 - 12*h**2. Let m(q) = 8*q. Determine j(m(n)).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12931*k**2*u**2 - k**2*u + k**2 + 40*k*u + k wrt u?\nAnswer: 25862*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(80)*-1)\/sqrt(10))\/sqrt(4) - (-1*(sqrt(2) + (sqrt(2) - sqrt(72))*4))**2.\nAnswer: -722 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = 2*k - 45, 3*k = -4*v + 3*v + 9. Suppose 5*j - 100 = 5*y, 100 = 5*j + y + 12. Calculate the least common multiple of v and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -17928 - -5765?\nAnswer: -12173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 3 q when four letters picked without replacement from itqaiaiitiiqq.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2451*z - 2453*z + 1106558 + 1106563 - 2213121.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = -2*a + 6, 352*k = 7*a + 357*k + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 36 = -14*h. Let r be (22\/33)\/((-10)\/h). What is the nearest to -1 in r, 1\/3, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2\/3 - 18646060*j\/3 + 43459444190450\/3.\nAnswer: 2*(j - 4661515)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = -2*v + 3*v + 4*b, -3*v - 3 = 5*b - 25 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 5, -1, 0.02, 0.108, 2977?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-1))\/6*3\/15\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 282969 - 67028 = 11*o. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 11) + -208 + 128 + 25 + 9?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 3*x + 62 = 0. Suppose -r + x = 2*t - 15, -t + 2*r = -13. Let c = t - -9. What is the greatest common factor of 210 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (19*x + 5*x**2 - 19*x)*(-686*x**2 - 418*x**2 + 934*x**2) as m*x**3 + v + j*x**4 + b*x**2 + w*x and give j.\nAnswer: -850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 6 - 10. Let r = 25 + w. Let s = -17 + r. Solve 0*y = 2*y - s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 132 + -74. Suppose -u = -23 - o. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 5*d = -30, 0 = -0*u - u - 4*d. Let b(m) = -23 + 8*m + 6 - 2*m. What is the tens digit of b(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/25)*p*p)\/(p**(-16)*p) assuming p is positive.\nAnswer: p**(423\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 46*j - 8. Let d(f) = f + 20. Let u be d(-18). What is the tens digit of i(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-483)\/69)\/(2\/2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1395, -2793, -4191, -5589, -6987, -8385?\n\"Answer: -1398*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*m**2 - 472*m + 320.\nAnswer: -4*(m + 40)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7185?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one twentieth of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04077208 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 269175.\nAnswer: 3, 5, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 715 - 663. What is the remainder when 152 is divided by g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of o**6\/5 - 23*o**5\/10 + 55*o**4\/6 - 11*o**3 - 18*o**2 + 4*o + 12. Factor q(t).\nAnswer: 2*(t - 3)**2*(t - 2)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (((-756)\/(-1104))\/21)\/(17\/68). What is the second smallest value in 18\/5, 4, f?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2*j - j - 5*j)*(-18 + 20 - 15)*(1 + 2 - 2) - 2*j + 3*j - 3*j)*(-3 - 14 - 3) to the form u + v*j and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61723 is divided by 20544?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 49551005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/282 and -1.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1\/12 + 7\/12. Let n = 0.553 - 0.753. Which is the closest to n?  (a) 2\/3  (b) -1\/2  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 5*u - 305, -u + 2*n + 0*n + 47 = 0. Calculate the remainder when u is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m*m**(-2\/7)\/m)**14)**(-12\/11) assuming m is positive.\nAnswer: m**(-120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o + o - 3*o + 2*o + o - 2*o + (0 - 1 - 1)*(-o + o - 2*o) + 0*o + o + 0*o + o - 3*o + o)*(1806 + 1888 - 94 + 2127).\nAnswer: 22908*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 22541549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 + 6*h + 5. Let m be q(-6). Let a(g) = 9*g**2 - g - 2. Let o(u) = 4*u**2 - 1. Give m*o(z) - 2*a(z).\nAnswer: 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.1154 times -3.40434\nAnswer: -0.392860836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-24)\/(-374)*(-378)\/567. Which is the third biggest value?  (a) o  (b) -4  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*i**4\/7 - 139788*i**3\/7 + 305235820*i**2\/7 + 381728268*i\/7 + 76352644\/7 = 0 for i.\nAnswer: -1, -1\/4, 4369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.21 and -11.\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8\/15 + -14\/15. Let q = -0.14 - 46.86. Let f = q + 46.7. Put -0.01, f, s in decreasing order.\nAnswer: -0.01, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -17*l**3 - 33*l**2 + 150*l. Let u(j) = 6*j**3 + 11*j**2 - 50*j. Let h(i) = 4*c(i) + 11*u(i). Find the second derivative of h(q) wrt q.\nAnswer: -12*q - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-32 + -2 + -1 - (-2 + -4))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t**2 - 2*t**2 - 2*t**2)*(-245*t**2 + 404*t**2 + 306*t**2 + 512*t**2).\nAnswer: -977*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14784 = -8*g + 62840. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/9*3*(-3)\/2. Suppose -3*l = f*l - 156. Let d = 34 - l. Solve -d + 3 = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -6.2586\nAnswer: 31.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -244*n + 82*n + 60*n**2 + 79*n + 83*n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5)\/(1 - (4 + -4)). Which is greater: d or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 4*x = 6*x - 6*x + 59, 390*o - 33 = 395*o + 2*x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 139104318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 - 6)\/((-9)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 9\/12*1600\/(-300)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13598736*h**4 + 16*h - 14286829 wrt h.\nAnswer: -54394944*h**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 203472 divided by 314\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/42)\/((-2432)\/171 - -14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 80 + -81. List the prime factors of (0 - a)*(-4554)\/(-18).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 513880 is divided by 64210.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + 248c3?\nAnswer: 248c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 11:30 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -2. Let m be n*-1*2\/14. Factor -4\/7*a + m*a**2 + 2\/7.\nAnswer: 2*(a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28226.\nAnswer: 2, 11, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = x + 9, -2*j - 55*x + 60*x = -57 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - g + 13 = -w, w + 2*g = 6. Suppose -10 = w*o - 246. Suppose p + 45 = 4*i, -5*i + 6*p = 2*p - o. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3075182?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1211*m**4 - 12*m + 80 wrt m?\nAnswer: 14532*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - 90)\/(-9) - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -2*u - 3*b, 0 = -2*u - 9*b + 16*b + 39 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 263590 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -9*m + 125. Suppose -31 + 12 = -j + 2*y, -y - 5 = 0. Calculate the remainder when 438 is divided by a(j).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43449.\nAnswer: 3, 7, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30624 is divided by 2784?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.0890874 and 1823330?\nAnswer: 1823330.0890874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -214.5 + 214. Which is the nearest to 1?  (a) -3  (b) -1  (c) v  (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**3\/2 - 358239*d**2\/2 - 1791245*d.\nAnswer: d*(d - 358249)*(d + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2794162 is divided by 75517.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -876*p - 6956 + 3725 - 21484 = 23465 for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 9  (b) 64  (c) -853\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9411.0065130853 - -203.5063846047. Let g = -9614.469 + f. Let z = g + -0.0439. What is z rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -92 + 135. Let d = z - 27. Solve -t - 4 = -b, -2*t - d = -3*b + 3*t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of -m**6\/360 - m**5\/40 + 5*m**4\/24 - 10*m**3\/3 - 130. Let b(r) be the third derivative of k(r). What is b(5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1601*i + 1441*i - 536*i + 1095*i + 556*i to the form z*i + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the third derivative of -z**11\/665280 + z**9\/60480 - z**7\/10080 + z**5\/15 + 4*z**2. Let t(k) be the third derivative of w(k). Factor t(j).\nAnswer: -j*(j - 1)**2*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 5) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 41 and 205.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - 4. Let a = -1 + u. Let l = a + 5. Is l at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 80085330 to the nearest 1000000.\nAnswer: 80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -111*n. Let r(u) = -11*u. What is -2*f(k) + 21*r(k)?\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 11090?\nAnswer: 11090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8389462, -8389463, -8389464, -8389465?\nAnswer: -8389466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.17, -0.9, -1\/11, 4, 102 in decreasing order.\nAnswer: 102, 4, -1\/11, -0.17, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b\/b**(-5)*b)\/b)\/(b*b**(3\/5)*b)*(b**(-1)\/b*b*b)**(-11\/7))**14 assuming b is positive.\nAnswer: b**(308\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2940?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 908\/2045 - 18\/409. Let f be (1 - 6\/5)*3. Which is the smallest value?  (a) f  (b) 1\/5  (c) w  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 3*m - 11, d + 4*d - 3*m + 5 = 0. Let j = -588 + 618. Suppose d*h + 0 = j. Solve -3*q + 4*k = k - 9, q + 5*k = h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 - -10. Let u = w - 7.4. Let h = 6.5 + u. Are h and 4\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*f**3*s - 9*f**2*p*s + f**2*p - 2*f**2*s - f*p*s - 46*f*p - 4*p*s - s wrt f.\nAnswer: 42*f*s - 18*p*s + 2*p - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 879 - 6141\/7. Determine b, given that 0 + 8\/7*b + 4\/7*b**3 - n*b**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 41.85249 days?\nAnswer: 60267.5856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 670548 is divided by 3210?\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12\/(-5 + 1) + (-27 - 7). Sort -3, -0.3, -0.5, u in ascending order.\nAnswer: u, -3, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 2*h - 3*d - 133, -105 = -4*h + d. Let n = h - 16. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7704 and 2664?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -3*j - 6. Suppose 26*t = 21*t - 3*g + 11, 4*g = -3*t + 11. Let f(m) = m + 1. Calculate t*h(k) + 6*f(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 7*y + 89. Determine n(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 6:07 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 60265, 60269, 60277, 60289, 60305, 60325?\n\"Answer: 2*y**2 - 2*y + 60265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*n = -20*n. What is the closest to n in 0.06, -1\/4, -0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -186.1 - -185.705. Sort -2\/9, -1\/4, f in increasing order.\nAnswer: f, -1\/4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -69*j + 43*j**2 + 12 - 57*j**2 - 148*j - 69*j**2 - 17*j**2. Let u(g) = g**2 + 2. Let t(y) = -h(y) + 6*u(y). Find the second derivative of t(v) wrt v.\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1)\/(-1))\/((-6)\/6))\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -2*h**2 - 3. Let o(x) = 5*x**2 + 7. Let t(m) = -6*o(m) - 14*r(m). Let s(q) = -3*q - 5*q + 8*q - 7*q. Determine s(t(y)).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 - 18*s - 73. Let r be z(-9). What is the second derivative of 29*d - 69*d + 10*d**4 + r*d**4 - 8*d**4 wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -0*y - 2*y. Suppose -3*b = -4*i + 33, 7*i = y*i + 3*b + 39. Suppose -2*h = -0*h - i. Solve -h*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28, -8, 12, 32?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 138445, 138446, 138447, 138448, 138449?\nAnswer: 138450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 357 is divided by 123.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (1 - 3 - -10 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2557\/2052 + -2\/513. Which is the second smallest value?  (a) l  (b) -18\/7  (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2\/5, 0.4, -3, 31\/2 in ascending order.\nAnswer: -3, -1, -2\/5, 0.4, 31\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 + 4\/2 + -3 and -2 + (15 - 2 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/62 and -53\/310.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 23616*w - 18835?\nAnswer: 23616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 - 0.16.\nAnswer: 25.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of 46*b**3 - 15*b**2 + 11*b + 101. Is c(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w + 3. Let k be h(-4). Suppose -b + 174 = 2*b. Let r = k + b. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 181 + -179. Solve -z*d + 10 = -3*f - 3, 27 = 5*d - 2*f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 2*d**3 + 34*d**2 - 217*d + 70. Let a be j(-22). Solve -16 = -4*u - 4*p, a*u + 5*p = -0*p + 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 54 - 24. Let o = -30.000168 + v. What is o rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2437264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*s + 113 = u, 242*s + 30 = 237*s + 3*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -z + 3*z + 2*j, -4*j + 5 = -5*z. Let r(g) = g**2 + g. Let o(k) = 3*k**3 + 5*k**2 + 5*k - 1. Let q(f) = z*o(f) + 5*r(f). Is q(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7506306919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 5*l**2 - 7*l + 6. Let i be y(5). Suppose -3*v = v - i. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the second derivative of -15*x**4\/4 - x**3\/2 + 2*x**2 - 41*x + 12. Determine v(1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 106605211 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-48)\/10)\/(3\/(-10)). Suppose -34 = 2*x + 2*z, x = -x + 3*z - 9. Let q = x + u. Solve q*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 85*a - 16 = -88*a, -j + 3*a - 11 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 72.1  (b) 1  (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0006323 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/2*k**2 - 1 + 1\/2*k**4 + 1\/2*k**3 - 5\/2*k.\nAnswer: (k - 2)*(k + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3206282 + -44842671\/14. Let u = y + -3227. What is the common denominator of -109\/22 and u?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2139994 is divided by 428?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 + 7.7. Which is the second biggest value?  (a) -0.2  (b) f  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -4  (b) 5  (c) 0.1  (d) 0.0129  (e) 1645\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-24)\/8*(-3 - 2\/(-6)). Which is the second biggest value?  (a) 2\/13  (b) -1\/4  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j - 1188 = -29*j. Suppose -w - 40 = -j. Let x(i) = i**3 + 6*i**2 - 8*i - 14. Determine x(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -e - -86?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5\/2, -1\/3, 0.4, -2\/3, 1818\/23?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.02 - -0.52. Let q = 0.5 - y. Suppose -1 = -n - 6. Which is the closest to q?  (a) n  (b) -4\/7  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -25b995a + 5?\nAnswer: -25b9955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and -1582.1?\nAnswer: 632.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**2 + i**2 - 2*i**2)*(-2 + 3 + 1) - 8*i**2 - 7*i**2 - 2*i**2 + 2952*i - 29*i**2 - 2952*i - 2*i**2 - 3*i + 3*i + (0 + 0 + 2*i)*(-15 + 15 - 6*i).\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is a6 - 14?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 96*g + 11?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 11 and 7.099.\nAnswer: 78.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 3*o - 6*o. Solve 0*h = 2*h - o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 88\/(-18)*2\/(-4)*(-18)\/(-12)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.1 and -65540.0043?\nAnswer: 65540.1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -56 - -88. Suppose -4*i = 136 - u. What is i rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -64658*u**4 + 32968*u**4 - 2*u**2 + 492 + 33051*u**4 wrt u.\nAnswer: 32664*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*w - 12. Suppose 0 = -w*c + 5*d + 35, 5*c - 3*d = 31 - 4. Let t(v) = v**3 + 111*v**2 - 115*v**2 + 5 - 3. Determine t(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4, -40 in increasing order.\nAnswer: -40, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 103289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -539*i**2. Let t(l) be the second derivative of l**3\/3 + 833*l. Determine t(c(p)).\nAnswer: -1078*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 26*(-2 + -4)\/(-3). Suppose 2*x + x + 4*p = q, 4*x + 4*p - 64 = 0. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -533 - -592. Suppose -t + 2*w + 25 - 8 = 0, -k = -5*t - 3*w. What is the smallest common multiple of 3 and t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*((-7)\/2 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: What is the remainder when 91 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 37463 - 37581 = 3*i, 0 = 17*i + 697 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 45.34 + -45.04. Put -2\/17, 1.14, g in decreasing order.\nAnswer: 1.14, g, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -76 - -93.5. Round k to 0 decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (18 - 41) + (13 - 22) + -18?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/((-4)\/(-2)) - -3. Suppose -d + 12 = 5*l, -k*l - 3 + 9 = 0. What is the derivative of 3*b**2 - d*b**2 + 0*b + 2 + 0*b wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -2*f**3 - f**2 + f + 10. Let p be a(0). Calculate the highest common factor of p and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -37278211, -37278209, -37278207, -37278205, -37278203, -37278201?\n\"Answer: 2*q - 37278213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 212745.5t?\nAnswer: 212745500000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*m + 9 = 17*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11510323 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j + 17. Suppose -d - 4 = t, 4*d - 40 = -0*t + 4*t. What is q(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 11  (b) 1\/19  (c) 202  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 1\/10 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, 197 in descending order.\nAnswer: 197, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15.9 + 25.1. Which is the biggest value?  (a) o  (b) 1\/2  (c) 0.2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*b - 6*b + 10*b - b - 2*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4063517, -16254074, -36571669, -65016302, -101587973?\n\"Answer: -4063519*r**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56983 is divided by 300?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2*p**3 - 4*p**2 + 44. Let h(s) = -3*s**3 - 5*s**2 + 45. Calculate 5*c(b) - 4*h(b).\nAnswer: 2*b**3 + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4112226 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2*w - 9. Let r be c(7). Solve r*g - g = 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 AM and 4:15 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/(-25))\/(3\/6). What is the third smallest value in -1, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 6*g + 7 + 8*g + 3*g**2 - g.\nAnswer: 3*g**2 + 13*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -781931.64 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2110 + 2002123032?\nAnswer: 2002120322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*d**2 - 221*d**2 + 6*d**2 - 150*d**2.\nAnswer: -396*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 3133 = -2*d, d + 9 = 8. Is l a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14688\/(-1152) + (0\/4 - (-3 + 5)\/8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8674?\nAnswer: 2, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 + 44 = -5*c. Let d be (-4)\/c*(-3 + 2). What is the smallest value in -0.4, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -55  (b) 501  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + i + 41 - 47 = 0, 0 = -4*i - 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of 12*f**2 - 5\/24*f**4 + 0 + 0*f + 0*f**3. Let a(c) = -c**2 - 53 + 98 - 45. Calculate s(a(i)).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -4, -1, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 201975 and 3675?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**3 + 64835*t**2.\nAnswer: 5*t**2*(t + 12967)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -13*h + 20. Let i be o(2). Let k be 3\/(i\/(-9) + (-15)\/(-18)). Solve -k*z + 12 = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 - d**2 - 487*d - 70. Determine s(0).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 5*o + 16 = 0, -13 + 14 = -4*n + o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -13204 (base 5) in base 4?\nAnswer: -100132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -560*g**2 + 1694*g**2 - 563*g**2 - 569*g**2. Let t(y) = -6*y**2 - 9*y**2 + y**2. Determine t(n(h)).\nAnswer: -56*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*j - 22*j + 71*j - 4*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 - (-3 + 6 - 3). Suppose -r*b + 24 = -0*b. Calculate the greatest common divisor of 16 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.004694 and 2675816.\nAnswer: 2675815.995306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times -7.9?\nAnswer: -3.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 34*c**2\/21 + 32*c\/21 - 2\/21.\nAnswer: 2*(c + 1)*(17*c - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*a - 29*a = 15. Suppose x - 5 = 4*r - 2, -3*r = a*x + 51. Let l = 11 + x. What is the smallest value in 0.2, 7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (96\/16)\/((-30)\/70)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 241345.\nAnswer: 5, 13, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4\/3, 0.2 in decreasing order.\nAnswer: 4\/3, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 232 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -6*z + 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 35 - 30. Solve -g*x - 14 = 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157655461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 + 8\/(4 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -13 + 3. Suppose -x = -7 + k. Suppose 0 = 2*f - x*z, 2*f - 1 = -0*f + z. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5*270\/(-75))\/(4\/(6\/3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 146311576319 and 0.16?\nAnswer: 146311576318.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-4)*(-69)\/(115713\/172).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -54 + 56. Suppose -p = -p - h*p. Solve 5*w - 5*t + 5 = p, 3*w - 7*w + 16 = t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 17835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 644 = 5*k + 628, 3*k + 0*h = 2*h + 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -97 + 68. What are the prime factors of (2 - 0)\/2 - z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 691, 1527 in ascending order.\nAnswer: 4, 691, 1527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27517930 and 4850.\nAnswer: 137589650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1235 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of -4*k**5\/5 + 3*k**4\/2 + 8*k**3\/3 - 18. What is the third derivative of a(x) wrt x?\nAnswer: -96*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 34 + -21. Let r = o + 5. Let k = 16 - r. Which is the nearest to k?  (a) 0.7  (b) 0  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 283, 288, 287, 274, 243, 188, 103, -18?\n\"Answer: -i**3 + 3*i**2 + 3*i + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 74 = -3*i - 1, -5*t = 4*i - 110. Let a be 704\/56 + -2*6\/21. Let w = 17 - a. Sort w, t, 4 in ascending order.\nAnswer: 4, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 - 302302300?\nAnswer: -302302223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 35*x**2 + 5*x - 3. Let i(b) = -79*b**2 - 10*b + 7. Let t(q) = -9*h(q) - 4*i(q). Calculate t(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4457*z**3 - 5*z**2 + 20*z - 1135102.\nAnswer: -13371*z**2 - 10*z + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-45)\/(-60) + (-287)\/20)\/((-32)\/(-80)). What is the second smallest value in j, 2\/5, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 111\/1976 and 20\/7.\nAnswer: 13832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 54 = 4*c - 130, -5*k + 4*c + 360 = 0. Calculate the remainder when 945 is divided by k.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j - 1 = 29. Let h = 231 - 197. Suppose -j*s + 40 = h. Solve -3*w - 4*b = -4, -s*w - 1 = 2*w - b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 705095 is divided by 1424.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 - -1 - (0 + -36). Suppose 3 = c - 2. Calculate the highest common divisor of g and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-85)\/(-17)*28\/35*(-3)\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.18 and -5980.3?\nAnswer: -1076.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 97838978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-306)\/238 + 2\/7. Let l be i + 4 - 1 - (-20 - -14). Solve -2*v + 3*m + 3 - l = 0, 10 = -v + 4*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -89974.\nAnswer: -2\/44987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the second derivative of -217*k**5\/10 + 7*k**4\/4 + 356*k. What is the third derivative of g(u) wrt u?\nAnswer: -2604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110111110011111100100 (base 2) in base 8?\nAnswer: -6763744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40\/12 - 3\/(-36)*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -g**3*l - 47*g**2*l**2 + 784*g + 6*l**2 + 382 wrt g.\nAnswer: -3*g**2*l - 94*g*l**2 + 784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (d - 1 + 1)*(-3*d**2 + d**2 + 3*d**2) + (96*d**2 - 49*d**2 - d**2)*(-2*d - 4*d + 5*d) to the form t*d + m + v*d**3 + b*d**2 and give v.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.01 * -155606\nAnswer: 1556.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y + 2*y + 2*y)*(-2*y - 2*y + 5*y)*(-98*y + 36*y + 63*y - 374).\nAnswer: 2*y**3 - 748*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 35797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 568343177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.586195 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4110 - 110?\nAnswer: -4220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**7\/n*n**(-5)\/n*n)\/(n**0*n)**(-14) assuming n is positive.\nAnswer: n**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 - 2*x + 2. Let w be k(3). Suppose -3*s + w + 40 = 0. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1237, 4947, 11131, 19789, 30921, 44527, 60607?\nAnswer: 79161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 224713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does -155574 = -155575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the third derivative of -a**6\/24 - a**3\/6 + a**2. Let r be s(-1). Suppose -m - r*m = -115. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-8)\/120*(-168)\/(-4) - 3\/15. Let p be (1 + -1)*(0 + -1). Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -417176153*d**3*p - 3*d**2*p + 2*d**2 - 133*d*p + 409*d - 6*p - 2 wrt d?\nAnswer: -2503056918*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 11, u: 2}. Give prob of sequence uu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2*d. Let m(v) be the first derivative of 0*v - 2 + 5\/2*v**2. Calculate u(m(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/57 at most 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + 5. Let v be (-1)\/(2\/(-388)*d). Suppose -4*f = i - v, 2*f = -4*i + 3*i + 93. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00028714 to 5 decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-6)\/(-10))\/((45\/175)\/3). Solve 25*l - h*l + 90 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, z: 1, d: 1, x: 4}. Give prob of picking 3 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3867 - 5?\nAnswer: 3862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 8\/12 - 3\/(-9)*-3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 210*i**2 - 851*i**2 + 52*i**2 - 538*i**2 - 809*i**2.\nAnswer: -1936*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2135, -4279, -6423, -8567, -10711?\n\"Answer: -2144*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -u + 22. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**2 - 4*y. Let h be x(-4). Suppose h = -s + 4*b + 4 + 16, -b - 27 = -3*s. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*w**4*x - 16*w**3*x + 502*w*x + x + 8501 wrt w?\nAnswer: -8*w**3*x - 48*w**2*x + 502*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 8  (b) -110662  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 94, 182, 270, 358, 446, 534?\n\"Answer: 88*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -70.47 + 46.6. What is s rounded to zero decimal places?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -488, 410, -5 in ascending order.\nAnswer: -488, -5, -1, 410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.4 and 112444 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 96\/5?  (a) -5  (b) 3.5  (c) 6  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 - 55*x**2 + 64*x - 752. Does 7 divide n(-57)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 14332 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1863782441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4387, 4383, 4387, 4405, 4443, 4507, 4603?\nAnswer: 4737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 PM and 1:58 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 121.\nAnswer: -1\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 1 = 4*h + 6, 2*t = 2*h + 8. Suppose 8*p - 4*p = i + 3832, -t*p + 2875 = -i. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9860 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1630 - 1627. Which is the fourth smallest value?  (a) 4  (b) o  (c) 62  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 710 is divided by 224.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z - 533 = -9*z. Suppose 6*t + 5*l = 2*t + 551, -z = -4*t + l. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y - 6. Let z be o(6). What are the prime factors of 9\/(z + -1 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36962 is divided by 420.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 210816 and 19764?\nAnswer: 632448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 - (-4)\/(-16)*0. Suppose 3*c + f*v + 25 = 4*v, 0 = 3*v - 3. Let k = c - -5. Let i(t) = -2*t**3 - 4*t**2 - 4*t - 2. Give i(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of -13*s**3\/6 - 17*s**2 + 2273*s. Let z(u) = 4*u + 11. Calculate -2*t(h) - 7*z(h).\nAnswer: -2*h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/8854 and -29\/50.\nAnswer: 221350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 1  (b) 3\/14  (c) -20  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -49*j**3 + 11*j**3 - 2*j**2 + 15 + 83*j**3 - 48*j**3 + 5*j to the form h*j**3 + r*j**2 + f + p*j and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 5\/7, -7, 0, -0.018 in decreasing order.\nAnswer: 5\/7, 0, -0.018, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 413 and 322616.\nAnswer: 19034344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2855905\/18436 - 1\/18436. Let v = 155 - t. Let b = 6851\/6 - 1155. Find the common denominator of b and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-24)\/456)\/((-40)\/(-50)))\/((-1)\/(-8))\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-10))\/(16\/(-800)*10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 8:15 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-65)\/2 + 1)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1931 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/2)*o**(-3)*(o*o\/(o*o*(o\/(o\/o**(2\/3)))\/o))\/(o*o*o**(2\/11)*o))\/((o\/o**(-1))\/(o*o**(-1\/9)))**(-2\/117) assuming o is positive.\nAnswer: o**(-123463\/23166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -260.7 + 261. Sort 3, s, 10.\nAnswer: s, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5339*l + 10621*l + 1067 - 5280*l + 4*l**2.\nAnswer: 4*l**2 + 2*l + 1067","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the third derivative of -l**8\/840 + l**6\/36 - 7*l**3\/6 + 9*l**2. Let w(k) be the first derivative of d(k). Find the third derivative of w(q) wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 + (-116)\/16 + (-6)\/(-24). Let c be (a - -2 - -1)\/((-6)\/9). Suppose 0*b = 6*b - 12. Solve -2*o - 2*u = -c + 7, 11 = -3*o + b*u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, y: 2, u: 1, n: 4, w: 1}. Give prob of picking 1 u and 3 z.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b*h**2*k*u**2 - 2*b*h**2*k + b*h**2*u**2 - 2*b*h*k + 14*b*k*u**2 + 2*b*k*u + h**2*u + 2*h wrt u?\nAnswer: 4*b*h**2*k + 2*b*h**2 + 28*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24 - g**2 + 3*g**2 + 3 to the form z*g + k*g**2 + d and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-49 - 51 + 97)*(-9 - 1 + 5 - o).\nAnswer: 3*o + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1074 and 4?\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*s - 20, s = 5*k - 2*s + 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.6?  (a) 0.5  (b) -0.1  (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -11 + 7*i + 10*i**2 + 13 - 11*i**2. Give y(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 161 + -153. What is the lowest common multiple of 40 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (-2 - (13 + -3)) - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 111187828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5)\/(-2)*72\/60. Suppose 3*y + 1409984 = -4*b, 0 = -c*y + 4*y - b + 470004. Round y to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 855, 3377, 7555, 13395, 20903, 30085?\nAnswer: 40947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*c + 7*c + 4*c**5 + (-2 + 2 - c)*(-2*c**4 - c**4 + c**4).\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 6\/7  (b) -2  (c) 4439  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(700)*-2 - sqrt(700))*1)**2*2.\nAnswer: 453600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x + 3*x + x)*(-2 + 1 - 1)*(-5 + 2 + 2)*(0*x**2 + 8*x**2 - x**2).\nAnswer: 56*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -7405829 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -35\/3?  (a) -5\/2  (b) 1  (c) 0  (d) -2  (e) 1220\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1272 and 7440.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.7 - -1.1. Suppose 2*g + 11 = -5*u, 3*g - g - 5*u = -1. Let l be 1 + -2*g\/(-12). Sort l, 4, c in ascending order.\nAnswer: c, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 + 3. Suppose -12 = 2*q + 2*t, t - 9 = 4*q - b*q. Let p = -4 - q. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-7))**(-44)\/((v*v**22*v)\/(v*v**(-25))))**33 assuming v is positive.\nAnswer: v**8580","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 - -6.9999993. Round c to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/7 + 4013836*f\/7 + 2013859929362\/7.\nAnswer: 2*(f + 1003459)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 251 in -7, -5, -1, 15.7?\nAnswer: 15.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 70.65549 to 1 decimal place.\nAnswer: 70.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 65735*y**2 + 166738 wrt y?\nAnswer: 131470*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3180167 rounded to four dps?\nAnswer: 0.318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 353534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:29 PM and 5:07 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvevevvevvvvveeevv. What is prob of picking 2 v and 1 e?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.21 - 7.79. Let y = -813 - -814. What is the closest to 1 in y, s, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.9 - 1.6. Let s = r - 1.1. Which is the second smallest value?  (a) s  (b) 0  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48213029 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 336 divided by -48\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of o**4\/2 - 65*o**3\/3 + 239*o**2\/2 + 40. What is the second derivative of t(d) wrt d?\nAnswer: 12*d - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(1 + (-1 + (3*sqrt(68)*1)\/sqrt(4))**2).\nAnswer: -310 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 373004 is divided by 1492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 201288, 201292, 201296, 201300, 201304, 201308?\nAnswer: 201312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1745 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -3*g**2 - 8*g + 6. Let r(u) = -4*u**2 - 9*u + 7. What is 6*m(s) - 5*r(s)?\nAnswer: 2*s**2 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1671 + 2*l**3 - 1671.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66*c**3 - 32*c**3 - 33*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -490 - -490.3. Let p = -4.1 - -3.1. Which is the second biggest value?  (a) p  (b) 1\/7  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9943491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, -52, -2, 2\/7.\nAnswer: -52, -4, -2, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21)\/(-14)*(20\/(-3))\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = 3*s - 6. Suppose 5*z - 3*w - s*w = 10, -4*w + 28 = 5*z. Find the third derivative of 7*q**2 - z*q**2 - q**2 - 3*q**3 wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7 and 4057.\nAnswer: 28399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(-6)*(4 + -4). Solve 0 = -4*k + 2*s + 2*s - 8, p = -k + 5*s - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p - 3*p - 293495 + 293512.\nAnswer: -p + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 41779.2449 times 5?\nAnswer: 208896.2245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-141)\/6*2*-1. Let b = -21 + m. Calculate the remainder when b is divided by 26\/3 + 2\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 1)*(2*h + 2*h**2 - 2*h)*(-6*h**2 + 6*h**2 + 5*h**2).\nAnswer: 30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -10 + -4 + 3 + -2. Let s = -14 - y. Let g be (1\/1 + 0)*1. Which is smaller: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5210*f**2 + 5392979 - 5392979)*(-3 + 3 - f**2).\nAnswer: 5210*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 119, -1\/2, -2\/3, -0.4?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5766 - 5763. Let z(n) = -18*n + 4. Calculate z(w).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + 2 - (-4 - -6)) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -10 times 0.4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -931 + 2366. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1157765094 + -32.1162.\nAnswer: 1157765061.8838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*o - 97 = -2*p, -4395 = 4*p + o - 4414 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 710 divide 3272589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0279924 to four dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03574 to three dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 2 = 5*f. Which is greater: f or -3\/41?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (534\/(-445))\/((-3)\/(-60)*-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -14526898 to the nearest ten thousand.\nAnswer: -14530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29885 - 29884.9979193. What is f rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 127.2 take away -35.6129114?\nAnswer: 162.8129114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -2\/3  (b) -92  (c) -8  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 196 = 3*p + 4*m, 0 = -3*p + 10*m - 121. Sort -4, p, -11, 3 in ascending order.\nAnswer: p, -11, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -71.1143 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 147695984*t - 331089202?\nAnswer: 147695984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.1601 + -0.1439. Round x to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 533 and 77654.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 - 7. Suppose -c*m = -4*m - 32. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 76875?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 5*z + 11 = 48, -3*z - 51 = -3*c. What is the greatest common divisor of c and 1788?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 3*z = 25, 0 = 3*z + 1 - 16. Suppose -3*l = 2*l - b. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 32*b + 230. Let j be q(-7). Solve y + 3*a = -7, -a = j*y - 2*y + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -4, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*z**2 + 2*z**2 - 4*z**2)*(-z**2 + 0*z**2 + 3*z**2) - 188*z**2 + 220*z**4 + 188*z**2 to c + k*z**2 + m*z + y*z**3 + v*z**4 and give v.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-2 + 41\/(-3))\/(-3) and 71\/153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-3)\/(15\/(-880)))\/(5\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -587*j**2 + 0 + 727*j**2 + 1159*j**2 + 0.\nAnswer: 1299*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20202100122101 - 0?\nAnswer: 20202100122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 35*j**3 - 23195*j**2 + 62670*j + 19800 = 0. What is j?\nAnswer: -2\/7, 3, 660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.01?  (a) -5574  (b) -1\/2  (c) -2  (d) 435\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 162585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 2*z**2. Let k(h) = -32786*h**2. Determine k(f(i)).\nAnswer: -131144*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2*j. Let l be (-7)\/(-3) - 2\/6. Let q(c) = 2*c - 3*c + l*c. Give p(g) + 3*q(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 <= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 25175 + -14278. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 11*y**3 - 3*y**2 + 3*y - 1. Let h be z(1). Suppose 20 = -8*s + h*s. Suppose n - s - 3 = 0. What is the remainder when 64 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1396 and 16.\nAnswer: 22336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 4*a**2 - 19*a - 48. Suppose 5*n = -4*z + 91, -4*z + 9*n = 10*n - 79. List the prime factors of k(z).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 37389\/(24\/1560*39). What is q rounded to the nearest one thousand?\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 - 2*z + 2. Suppose -3*b + 7 = 61. Let w be 45\/b - 3\/(-2). Let h(a) = -a + 1. Let s(m) = w*d(m) + 2*h(m). Let y(c) = -4*c**2. Determine s(y(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1294105280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 321*a*k**3*m - 3*a*k**3 - 7*a*k**2*m + 5308*a*m + 6*k**3*m + k**2*m - 2*k**2 wrt k?\nAnswer: 1926*a*m - 18*a + 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*d = 61*d + 28*d - 641094. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 168005*p**2 + 2*p + 1. Let l(w) = 168004*w**2 + 3*w + 2. Let m(s) = -4*l(s) + 3*o(s). Let g be m(-5). Round g to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 + 13*p + 14. Let f be b(-12). Suppose 0 = f*a + 2*o + 7 - 9, -4*o - 8 = 0. Suppose -5*i = -2*t + 424, 3*t + i - 625 = a*i. Does 23 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.010063 to four decimal places.\nAnswer: 0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -4304 >= -4305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.237500171 rounded to four dps?\nAnswer: -0.2375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4565 and 74285.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-15)\/30)\/(14\/(-4)))\/(2236\/1806).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/((-3 - 1)*(-5 + 7)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19063 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1284 is divided by 486?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5.92 - -0.08. Let z = j + -8. Let i = -105477\/4 + 26369. Which is the closest to z?  (a) -2  (b) i  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 365289360 to the nearest one hundred thousand.\nAnswer: 365300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t + 4. Let d be c(6). Let q be ((-3)\/d)\/((-12)\/16). Is (q\/2 - 0) + 128 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1241916 divided by 620958\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 289 + -304. Let f be ((-3)\/c - 2)*230\/(-184). Suppose 39\/4*j + 27\/2*j**3 + 3\/4*j**5 + 21\/4*j**4 + 33\/2*j**2 + f = 0. What is j?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1629 is divided by 239?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 126758*q**3\/13 - 126738*q**2\/13 - 1521116*q\/13 - 240\/13 = 0?\nAnswer: -3, -10\/63379, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 220 = -2*v. What is the greatest common divisor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 14115 + 0*f**2 - 478 + 380 + f**2 + 3147 in the form q*f**2 + a + u*f and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 91.2998 nanoseconds to microseconds.\nAnswer: 0.0912998","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Express -37*w - 126*w**2 - 136*w**2 - 124*w**2 - 2 + 385*w**2 - 2*w**3 as x + u*w**2 + j*w + t*w**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 2*l + 12. Let p be x(-11). Let s = 10 + p. Solve s = -2*v + 11 - 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/49 and -3\/28.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - 3*y = 28, -3*g + y = 2*g - 26 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = x - 4*x. Let j be (0\/((-6)\/(-2)))\/(-1). Solve q + x = -2*q + 5*p, j = -q - 5*p + 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 152 times 4\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1677572 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*r + 4*r**3 + 27*r - 2*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kjpzjzjzdjd. What is prob of sequence jzkd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 35 + -33. Factor c**2 - 2*c**k + 183*c - 1 - 181*c.\nAnswer: -(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 543*n + 483*n + 0*n**2 + 326*n + n**2 - 165*n to the form x + k*n + v*n**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v**2 - 2*v + 18*v + 0*v**2)*(-1 + 1 - v**2).\nAnswer: -2*v**4 - 16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2\/7249 + 28630\/1326567. Which is the biggest value?  (a) 0  (b) v  (c) 3  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-98*h - 19 + 19)*(-37 + 20*h + 65*h + 39) + h - 2*h + h**2 - 2*h**2.\nAnswer: -8331*h**2 - 197*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyyh when four letters picked without replacement from hyyhyyyyyyyyyhhyyyh.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -907 divided by 27624\nAnswer: -907\/27624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(704) - ((sqrt(11) + -1)*1 + sqrt(11))) + (-1*3*sqrt(121) + sqrt(121))\/sqrt(11))**2.\nAnswer: -24*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -5.9 greater than 0.134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 9 + 7 + x - 3. Suppose 0*v = 4*v. List the prime factors of p(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.8358 + 2.98463. Round c to three dps.\nAnswer: 0.149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1411514 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**0)**29\/((d\/(d*d\/d**(-6)))\/d**(-1)) assuming d is positive.\nAnswer: d**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40\/(-10) - (-145)\/40.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o**(1\/12)*o*o)*o)\/o*o*o**(-2)*o*(o\/((o\/((o*o**1)\/o))\/o)*o)\/o**(2\/11) assuming o is positive.\nAnswer: o**(97\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/(-4))\/(3\/(-4)). Suppose -3*d = -j + 11, 3*d - 6*d + 1 = -4*j. Which is smaller: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 28043 - -25?\nAnswer: 28068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {o: 1, n: 2, u: 1, g: 2, m: 1, h: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 215338111.\nAnswer: 109, 113, 17483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2057) + 2 + 2 + sqrt(2057) + sqrt(2057).\nAnswer: 4 + 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 19 = 7*w. Suppose 0*y = w*y - 333. Suppose 11 = -5*z + y. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 570349105 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = 2*r + 16, 0 = t + t + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 42856965 to the nearest integer?\nAnswer: 6547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, 4, -0.088, 8, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l + l + 2*l**3 - l**3 + (73 - 8*l**2 - 73)*(-1 - 2*l + 1).\nAnswer: 17*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 106 = -3*h, 3*h + 78 = 4*p + 4*h. Let k be -3*(-4)\/p + 36\/(-10). Sort 2, k, 3, -5 in ascending order.\nAnswer: -5, k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1162987 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - 23?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 90641 - 5041 = 0. Round n to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2*j**2 + 71*j - 40. Calculate n(-23).\nAnswer: -615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1031013113211 - 11?\nAnswer: -1031013113222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -60 by 2307.\nAnswer: -20\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -15\/2  (b) 5  (c) -2\/23  (d) -0.3  (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q**3 - 141*q**2 - 75*q + 291. Determine p(71).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -904*j - f = -903*j + 2, 24*f - 42 = -6*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 0, 0.5, 1\/6, 20.3, 0.4 in decreasing order.\nAnswer: 20.3, 11, 0.5, 0.4, 1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 90461.57 milligrams to tonnes.\nAnswer: 0.00009046157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 26240069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1363\/1162 - 5\/166. Let t = j - 38\/21. Which is the closest to -0.1?  (a) 1\/6  (b) 1  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 + 4 - 1)*(2 + 2 - 6) - 1 - 3 + 2)*(-105*v + 111*v + 65*v) as i + s*v and give s.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 138\/17, -6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, -0.1716, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -246 - 0.056506.\nAnswer: -246.056506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(637) - (sqrt(637)*1 + -1 - sqrt(637)))**2*1)*6*-6.\nAnswer: -22860 - 504*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 = 21*m + 283 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -431*u + 11. Let j(w) = 3*w**2. Determine j(b(m)).\nAnswer: 557283*m**2 - 28446*m + 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, 13.62, 0.033 in decreasing order.\nAnswer: 13.62, 1, 0.033, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 321616.2mg in nanograms?\nAnswer: 321616200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*i + 52*i + 0 + 0 - 114*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l + 12. Let c be k(-5). Is (0 - c)\/((-1)\/37) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of -2*g**5\/75 - g**4\/2 - 18*g**3\/5 - 37*g**2\/3 - 20*g - 152. Determine o so that t(o) = 0.\nAnswer: -5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2, 5\/6, 0, 3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.6 + 0.995849.\nAnswer: 0.395849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 251727253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 6 = 4*y, -2*y - 2 = 4*c - 32. Solve -14 + c = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13605 is divided by 32?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 0) + -13 - (7 - (4 - -2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k**2 - 8920*k + 3978320 = 0. Calculate k.\nAnswer: 892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -223*n**3*x**2 + 71*n**3 + 230*x**3 - 4780 wrt x?\nAnswer: -446*n**3*x + 690*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - 1235?\nAnswer: -1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 653?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -7*r**6 - 6*r**4 + 6*r**2 - 6*r - 6. Let m(j) = -j**6 - j**4 - j - 1. Let c(f) = 6*m(f) - o(f). What is the third derivative of c(n) wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 344*d**4 + 213735*d**3 + 108*d**2 - 2533*d + 6 wrt d?\nAnswer: 8256*d + 1282410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/3))**48\/(d**(-3\/5)*d\/(d*d*d*d**5))*((d*d**(1\/2))\/d*d)**(-25)\/((d\/(d**(-5)\/d))\/(d**(1\/5)\/d)) assuming d is positive.\nAnswer: d**(-537\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -3*4*(2*sqrt(176) + 0 + -1 + -1*sqrt(176)))**2.\nAnswer: -1440*sqrt(11) + 25569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*t + t + 4*t + (0 - 1 + 2)*(t - t - t) + 6*t - 2*t + 6*t.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 324 and 16.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (110 - 28254\/255)*(-1855)\/14?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*4580.1\nAnswer: 1832.04","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is 12 + -1 - (-2 - (11 + -20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -q + 16. What is the lowest common multiple of q and 210?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 260.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -193*r + 188*r - 42 = p, -p + r = 0. Let i(b) = -2*b**3 + 3*b**2. Let m(c) = 3*c**3 - 5*c**2. Calculate p*i(s) - 5*m(s).\nAnswer: -s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -8 + (-2 - -2) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001 - 100101111111100110011?\nAnswer: -100101111111100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h. Let t = -165 + 167. Let x(n) = 4 + t + 6 + n. What is c(x(y))?\nAnswer: y + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 59 + -56. Suppose -2*u + 20 = h - 6*u, -28 = -b*h + 4*u. Suppose -4*v - 6556 = -h*c, -2*c + v = -5*c + 4917. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-15)*(-3)\/(-2)*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00242809 to five decimal places.\nAnswer: -0.00243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 134600 and 119304056?\nAnswer: 5384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 144474 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 869 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 5, -3, -5, 4722, 1 in ascending order.\nAnswer: -5, -3, 0, 1, 5, 4722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 334*(2 - (-34)\/(-16)). Let n = b + 42. Determine z so that -n + 0*z + 1\/4*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4086 + 1743981.\nAnswer: 1748067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 + -1)\/(1\/5). Which is the nearest to -1\/3?  (a) d  (b) -0.5  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-3)\/20)*(-20)\/(-80).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**4\/7 - 18*i**3\/7 - 33*i**2\/7 - 18*i\/7.\nAnswer: -3*i*(i + 1)*(i + 2)*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -16, -3, -0.044919?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -67*l**2 - 2*l - 2. Let j be z(-1). Let i = -49 - j. Calculate the remainder when (i\/(-9) - 56\/(-6))*12 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -3*f**2. Let g(k) be the second derivative of k**3 + 14*k. Determine x(g(o)).\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1281 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 AM and 4:39 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qhqtsstoaossqhqqshtq. What is prob of sequence qqh?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 48*w + 3. Let l be u(2). Calculate the highest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -685862600 by 553115.\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3739 or -901444\/241?\nAnswer: -3739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 295*v**2 - 29*v - 68. Is c(-2) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * -2439.\nAnswer: 7317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1029 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(108) + -1 + 5 + (-1*-2*sqrt(108) - sqrt(108)))**2 - ((sqrt(108)\/sqrt(9) + sqrt(108) + 0 + sqrt(108) + -1)**2 + 4).\nAnswer: -160 + 52*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + -13. Let m(u) = -4*u**2 - u - 1. Calculate m(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47225 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -957.83957 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3701 = 5*i - 296*x - 4960, -5*i + 18 = -3*i + 3*x for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the third derivative of j**7\/2520 - 19*j**5\/60 + 20*j**2. Let a(o) be the third derivative of b(o). Let f(n) = -35*n**2. Calculate a(f(p)).\nAnswer: -70*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/(-6))\/(-6 + 175\/30). Solve -a + 3 - 6 = r, a - h*r = 13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1877.7 - -1878.1. Let v = 0.5 - 1. Which is the third biggest value?  (a) v  (b) l  (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-44)\/(-12) - (-2)\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 78*q + 439. Let f(o) = 81*o + 438. Let n(m) = 5*f(m) - 6*h(m). Let p be n(-7). Which is greater: 149 or p?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8477 and 3395.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 37861 (base 11) in base 10?\nAnswer: 54275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6335684*a**2 - 66705309*a wrt a?\nAnswer: -12671368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 752 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 9:24 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g - 34 = 8 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -422 - 519 = 33*n + 247 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**3 - 30*z**2 - 29*z - 1. What is c(-29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1958 + 142*p - 1956 + 7818 - 1956 - 1949.\nAnswer: 142*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/((-49)\/2058*28*1\/6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 9415*j - 1 + 4.\nAnswer: -9415*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 6, -80 = -5*s - u + 52. Suppose 4*d - 4*b = s + 1, -3*d = -5*b - 25. Calculate the smallest common multiple of 2 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 2*g = 23, -2*r + 14 = r + g. Let v = -2 + r. Let d = 0.5 + -5.5. Sort d, v, 2.\nAnswer: d, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 288993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6219\/1192 - 4\/447. Let z be 7968242\/(-4)*40\/(-1380). Let m = z + -57742. What is the common denominator of m and n?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*q + 2*s = -28*q + 9, 4*s = -3*q - 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1650)\/2640)\/((-5)\/(-520)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5.1 + 5. Suppose -35 = 41*t - 36*t + 5*r, t - 2*r + 1 = 0. Which is the nearest to l?  (a) t  (b) -0.2  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82*s = -243*s + 86296. Calculate the remainder when s is divided by 138.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -92 + 20. Let n be (6\/(-8))\/(27\/l) - -1. Find the second derivative of 6*d + 11*d**3 - 3*d**n + 4*d - 22*d**3 wrt d.\nAnswer: -84*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.91 + 3.41. What is the second smallest value in 0.01, s, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*o**3 + o**3 + 6*o**3 + 3*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 8*b**2 + 298*b + 19. What is w(-36)?\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 4*v - 49 = 5*r, -108 = -2*r + 3*v. Let f be (-9)\/(-54)*-4*(-2166)\/4. What is the highest common divisor of f and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n**2 - 2*n**2 + n**2 + 6*n**2 - 9*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 464 + 414*b**4 + 4*b**3 - 462 - b**2 - 6*b**3 to the form n*b + l + k*b**3 + p*b**4 + j*b**2 and give p.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2466.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 1406.13ml?\nAnswer: 1.40613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 1)*(-15*j**5 - 15*j**5 - 6*j**5) + (-4*j**2 + 10 - 10)*(8*j**3 - 8*j**2 + 8*j**2).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -99*g**2 + 2 - 7*g - 109*g**2 - 55*g**2 - 36*g**2 + 141*g**2 to the form a + l*g + b*g**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 372, 793, 1214, 1635?\nAnswer: 2056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1cbb8 (base 16) to base 4.\nAnswer: -130232320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -20101222112 (base 4) in base 7?\nAnswer: -24304025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 464039 and 651?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*y + 20*y - l - 5366 = 0, -5*y = 4*l - 6718. Calculate the highest common divisor of 244 and y.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3988618410 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*k = 23*k - 240. Suppose k*s + 474 = 82*s. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 18*a + 34 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -125011696, -250023397, -375035098, -500046799, -625058500, -750070201?\nAnswer: -875081902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 114*q**4 - 4023*q**3 + 31182*q**2 + 23787*q + 3588 = 0. Calculate q.\nAnswer: -1\/2, -4\/19, 13, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 + -297?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -7 - 5*c + 15*c - 19*c**2 + 32*c**2 - 14*c**2. Let s be o(13). Let d = s - -61. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -16*v**5\/3 - 692*v**4\/3 - 256*v**3 + 996*v**2 - 504*v = 0. Calculate v.\nAnswer: -42, -3, 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 545, 1225, 1919, 2627?\n\"Answer: 7*p**2 + 659*p - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 650 divide 509621997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -154*o + 155*o - 25. Factor -164*h + 310*h - 15*h**3 + o*h**2 - 156*h.\nAnswer: -5*h*(h - 1)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -26 - -29. Let g be 288\/384 + 2\/8. Put a, g, 2, -1 in increasing order.\nAnswer: -1, g, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1747 - -1768. Suppose 0*c + 32 = 4*c. What is the remainder when m is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 88 + -4. Suppose 2*a - p = -5*a. Let r be ((-40)\/a)\/(-2)*3. Which is greater: 8 or r?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*k**2 - 9*k + 14*k - 19*k**2 - 24*k**2.\nAnswer: 4*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o - 1. Let p be -9*2\/(-30) + 2\/5. Let r be -1 + p\/4 + 6\/8. Suppose -32*z + 34*z = r. Give a(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -161 - -166. Let k(v) = -v**2 + 9*v - 20. Let c be k(s). Which is greater: 124 or c?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4191426.2328 - -2252\nAnswer: 4193678.2328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -265.7?  (a) -0.3  (b) 2  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 3*o**2 + 4*o - 9. List the prime factors of z(-9).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 43304787?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 21547\/58 - (1 - (-6)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14535508 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*b + 27*b - 6. Solve 3*v - 4*z + b = -2, z = -3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*u = 37*u + 5*g - 159, -4*g + 1164 = 8*u. Solve 104 = -10*f + u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/74 and 30?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1448 is divided by 464.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -2475  (c) -1\/846\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d. Let y(k) = -4*k - 2. Let s(c) = -7425*c - 3630. Let p(z) = -3*s(z) + 5445*y(z). Calculate p(r(o)).\nAnswer: -990*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -236\/329?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-206)\/(-6)*1 + 20\/12. Let t be ((-1)\/2)\/((-30)\/x). Find y, given that t*y**2 + 18\/5*y + 27\/5 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 615776 a multiple of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 103 + -18. Let p = 85 - h. Solve 2*o - 3*a = -2, 0*o + o + a - 4 = p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115*q = 5*l + 110*q, 0 = -5*l + 2*q + 6. Solve l*o - 16*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of -d**4\/20 - 4*d**3\/15 - 2*d**2\/5 + 4. Determine y, given that m(y) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w - 6 = -10*w. Suppose -5*z + 26 = w*t, t + 2*t + 37 = 4*z. Let m = z - 6. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i**2 + 3347*i. Let v(l) = 2*l**2 + 13*l. Calculate t(j) - 2*v(j).\nAnswer: -2*j**2 + 3321*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -4*y**2 + 57249*y - 572059. Calculate n(10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 (base 2) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*(3 + 0) - -2. Suppose x*t - 4 = 6. Solve t*m = -m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*n = -16*n + 5*s - 7, 10*s = -35*n + 5*s + 245 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of 0*v**3 + v**2 + 0*v**4 - 1\/10*v**5 + 0 + v. What is the derivative of u(j) wrt j?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in y**3 - 93972*y**2 - 187947*y - 93974 = 0?\nAnswer: -1, 93974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 21 = 5*u, -2*q = -3*u - 6 + 3. Let j be (9\/6)\/((-1)\/(-2)). Suppose j*b = -b. Solve b = -q*w + 3*w + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -9*z**2 + 8948*z + 2. Let p(h) = -10*h**2 + 7*h + 1. What is -p(r) + u(r)?\nAnswer: r**2 + 8941*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 + 0)\/(2*5\/(-10)). Suppose 201 = 2*d + 3*o, 4*d + 2*o - 367 = a*o. Is d + -3 - ((-6)\/3 - -2) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*t - 5*t + 17*t)*(12*t - t + 2*t).\nAnswer: 286*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 71870879 to the nearest integer?\nAnswer: 8478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10262889363*s**2\/5 + 1052802*s\/5 - 27\/5.\nAnswer: -3*(58489*s - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 1622 = 3*o + 4*b, -4*o = -3*b - 3233. List the prime factors of o.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 637580369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-5 + sqrt(11))*5.\nAnswer: -15*sqrt(11) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9050795 minutes to nanoseconds.\nAnswer: 54304770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9767.1 + -7516. Let v = f - 2106. Let r = -118 + v. What is r rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 170.66 take away 5?\nAnswer: 165.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*x + 39*x = 4080. What is the greatest common factor of 70 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -333.91 take away 682.0018?\nAnswer: -1015.9118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1340 - -1330 - (-3 - 19).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -38*v**2. Let c(z) = 156*z**2 + 2*z. Calculate c(s(x)).\nAnswer: 225264*x**4 - 76*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 55 = -4*m. Is -11 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27150?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(209)*-1*4*5*-5*4)\/((sqrt(99) - (5*(sqrt(99) + sqrt(99) + -3*sqrt(99)) - sqrt(99)))\/(sqrt(99)\/(sqrt(22)\/sqrt(2)))))**2.\nAnswer: 3040000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-w + 1 - 1)*(-1 - 2 + 1) + 2*w - w + w + 2*w - 3*w + 2*w + 0 + 0 - 2*w)*(1 - 3 + 4) in the form x*w + d and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-12))\/((-55)\/44*(-32)\/24)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b**2 - 11*b - 11. Let d(k) = k**2 + 6*k + 6. Suppose z - 24 = -0*u - 4*u, -3*u = 5*z - 18. Let a = -34 - -45. Give a*d(f) + u*s(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 225, 1651, 5503, 12993, 25333, 43735, 69411?\nAnswer: 103573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.052 + -5.052. Let q = -0.5 - 2.5. Put 7\/15, q, m in decreasing order.\nAnswer: 7\/15, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mwfpysssmpffsff. Give prob of sequence mmy.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 21, -635, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 11, 1, -12 in descending order.\nAnswer: 11, 1, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 - 10. Suppose -y - k + 13 = v, 0 = -5*y - 2*v + 25. Solve -12 - y = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -108311\/30 + 3611. Suppose -6*v + 14 - 2 = 0. Which is bigger: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 h, and 1 w when three letters picked without replacement from {w: 1, h: 4, x: 2, i: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 946339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/577519 and 11\/32.\nAnswer: 18480608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -7*s - 2. Let y be j(-1). Solve x - 5*i = 20, -y*x + 30 = -2*x - 5*i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -13*s - 1. Let n = 3 + -5. List the prime factors of m(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 6 = 4. Let s be b\/3 + (-110)\/(-15). Solve -4*i + 5*f = i - 20, -3*f - s = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 75 - 59*j - 75 in the form p + g*j and give g.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 15 + 34 = -3*s, 3*g - 15 = 0. Suppose -2*y + 2*u = -18, -y + 2*y + 3*u + 11 = 0. Sort s, y, 6.\nAnswer: s, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u and 1 f when four letters picked without replacement from uuuyuiyyfy.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2\/9 + 238*r\/9 - 236\/9.\nAnswer: -2*(r - 118)*(r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 116.726049 milliseconds?\nAnswer: 0.0000013509959375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 + (-8944)\/640)*12.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -18.2 + 5.3\nAnswer: -12.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*x - 23*x = -3*v - 7, x = -5*v - 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -717 divided by 189847\nAnswer: -717\/189847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -185*x - 19 + 41 - 22 - 673*x to the form o + u*x and give u.\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -9*n - 83. Let m be u(-8). Let y(x) = -10*x**3 - 11*x - 4 + 3 - 12*x**2 + 9*x**3. What is y(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6930 - -6960. Calculate the remainder when 3659 is divided by c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 - 5*i + 7. Let m be v(-5). What is the greatest common divisor of 28 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5047674 or -5047660?\nAnswer: -5047660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 671 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 32 = -4*v, -k - 4*v + 26 = 10. Suppose -2*c = -2 - k. Suppose -5*o = -15, 4*o - c - 5 = r. Put -2, r, 4 in increasing order.\nAnswer: -2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -782 + 80549\/103. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 21897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 379106891 to the nearest one hundred thousand.\nAnswer: 379100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1649 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 t(d) = 199*d**2 - 98*d + 212. What are the prime factors of t(11)?\nAnswer: 139, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4048.5 - -4048. Let r = 427\/5 - 85. Which is the second smallest value?  (a) r  (b) x  (c) 3\/8  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 663\/(-2)*(32\/16 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5583074 and 28728?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.468 and 14.5774?\nAnswer: 14.1094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -2*u**3\/5 + 37026*u**2\/5 + 2*u\/5 - 37026\/5 = 0?\nAnswer: -1, 1, 18513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 PM and 11:15 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -j - z - 20986 + 20989, 4*z - 21 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2217*t**3*w**3*y**2 - 1546*t**3*w**2*y**2 - 2*t**3*w**2 - 2*t*w**3*y**2 wrt w?\nAnswer: 13302*t**3*y**2 - 12*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (8 - (-8 - (4 - (-16 - -25))))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -984 by 6.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 1 = t, 3*t - g + 23745 - 23734 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n*n**(3\/17))\/(n*n**(1\/12)) assuming n is positive.\nAnswer: n**(427\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*n**2 + 2*n**4 - 2*n + 2*n + 2 - 4*n**2 in the form r*n**3 + x*n**2 + m + g*n + h*n**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -0.5, -1\/8, 17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 150 - (-3)\/9*-9. Suppose 5*u - y - 133 = 288, -5*u = -2*y - 422. What is the highest common factor of u and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnt when three letters picked without replacement from {g: 1, t: 1, a: 2, n: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 120 a factor of 38767773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.0233881 to two dps.\nAnswer: 4.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 2*u**2 + 18144*u - 28045256 = 0.\nAnswer: -10418, 1346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/3 in 5, -2\/9, 2\/33, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110111001100000001 - 111?\nAnswer: 110111001011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 8:25 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -484*k**4 + 46068*k**3 + 284940*k**2 - 52948*k + 2424 = 0 for k.\nAnswer: -6, 1\/11, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 638609718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + (-1 + 0 + sqrt(1584))*3)*3)**2 + -4.\nAnswer: 128300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*f**2 - 4*f - 3 + 456*f**3 + 2*f - 456*f**3 + 26*f**4 to q*f**4 + y + m*f**2 + n*f + s*f**3 and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*q**4 + 7*q**2 + 13 - 7*q**2 + 6*q**4 wrt q?\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6691*-1.\nAnswer: -6691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 3*a - 15, -4*h - a - 2*a + 6 = 0. Suppose -5*y + h*u - 6167905 = 1832092, -3*u + 6399997 = -4*y. What is y rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 320561 (base 7) to base 11\nAnswer: 38785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + -1 + 0)*78\/182.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 32, -3, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.216811 micrograms to nanograms.\nAnswer: 1216.811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -44.5 + 44. Let q be (-25)\/(-7) + 57 + -61. Which is the smallest value?  (a) q  (b) -3  (c) 5  (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16 + 17*o - 28 + 11 + 4 - 4 + 2*o - 1 + 1 - o + (2 + 3 - 3)*(3 + 2*o - 3) - 4*o + 3*o + 2*o + 94 - 90 + 10*o + 2*o.\nAnswer: 35*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10541787379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 42729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**6\/(v**(-1\/6)\/v*v))\/(v**(2\/7)*v)**(-19\/5))**(22\/5) assuming v is positive.\nAnswer: v**(25531\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.3 - 0. Let f = -0.5 - b. Which is smaller: 3\/5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/((h*h\/((h\/h**(-4\/5))\/h))\/h))\/h)\/h*h)\/h*h*h**(-1\/5)*h assuming h is positive.\nAnswer: h**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c\/c**(-5\/2)))\/c)\/(c*c**(-3\/4)))\/((c*c**(-6))\/c**(-26)) assuming c is positive.\nAnswer: c**(-99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 53694 and 53694.\nAnswer: 53694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1313201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**2 - 1341*o + 78. Determine c(0).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2585, -11084, -25259, -45116, -70661, -101900, -138839, -181484?\nAnswer: -229841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -630*d*j**2*n**2 + 7*d*j**2 + d*j*n**2 - 25*j**2*n + 8*j**2 wrt n.\nAnswer: -1260*d*j**2 + 2*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 592 is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**2 - u + 3*u - 4*u.\nAnswer: u*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (66\/44)\/((-3)\/(-8)). Let a(m) = -4*m + 1. Let i be a(-1). Solve c*l - 2 = -2*n - 4, -5*n - i*l = -5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 9*z**3 + 63*z**2 - 17*z - 11. Let d(s) = -2*s**3 - s**2 + 4*s + 1. Let n(w) = b(w) + 6*d(w). Find the second derivative of n(l) wrt l.\nAnswer: -18*l + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 9:21 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and 5.01929.\nAnswer: -15.05787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 3, m: 2}. What is prob of picking 3 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17906 by -4.\nAnswer: -8953\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 24 (base 8) to base 10\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of 16 - 13\/2*n**4 - 2*n**2 + 0*n**3 + 13*n + 0*n**5 + 1\/2*n**6. Find the second derivative of b(h) wrt h.\nAnswer: 60*h**3 - 156*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/3*(-12)\/(-8). What is the units digit of ((-21)\/(-1)*g)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -130, -635, -1474, -2647, -4154, -5995?\n\"Answer: -167*i**2 - 4*i + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/7*z**4 + 8\/7*z**3 + 0*z + 0 - 4\/7*z**2.\nAnswer: -4*z**2*(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 465081120 to the nearest one million.\nAnswer: 465000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-208))\/(206\/3296).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1916 plus 0.20254266?\nAnswer: 0.01094266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 88896229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 156572 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -60 in -0.01, 3, -3\/4, 6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 20 = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-3 + (4 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 4*u - 441, -5*t + 3*u - 2154 = -0*u. Let p = 437 + t. Solve -p = 4*z - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the third derivative of -i**4\/12 + i**3\/3 + i**2. What is the tens digit of s(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 37 - (-51 + 43) - 43\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -3*j**2 + 5*j + 3. Let i(r) = 12*r**2 - 21*r - 12. Let f = 172 - 170. Let t(m) = f*i(m) + 9*d(m). Give t(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - -221300?\nAnswer: 221300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3630 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -40.5 times -36\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/(-3))\/(9\/27). Sort -73, -4, 2, v.\nAnswer: -73, -4, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + k - 131 = -0*k, 5*u = 3*k + 223. What is the lowest common multiple of 99 and u?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 2*n + 7. Let q = -14 + 9. Let f be a(q). Let i be 3 + 3*(f + 2). Solve -p + 0*p - 2 = i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 60 = -24*g + 29*g, -3*h = 5*g - 52. Solve -g + 29 = 6*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 110 = -0. Suppose -5*w - l = -4*u, -2*u + 0*u = 3*w - 22. Calculate the remainder when 23 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -1 + 37. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16114892 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xradxrdg. What is prob of sequence dxx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/4*(-5)\/((-45)\/12). Let i be -1861 - (b + -3) - -5. What is i rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 0.2, -4\/1787, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*s**2 - 38*s**2 - 43*s**2 + (6 + 10*s**2 - 6)*(3 - 1 + 0) to a*s + y*s**2 + p and give y.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of 5*c**4\/2 + c**2 - c - 56. Let l(g) = -g**3 - 2*g**2 - g - 1. Let i be l(-2). Calculate a(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 0*b - 54 = -3*b, -3*b + 18 = w. Let j(o) = 4*o - 1. Let c be j(w). Suppose -c = -6*t + t. What is the remainder when 32 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1054418 (base 9) to base 7.\nAnswer: -4552346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -61 + (-61 - (-77 - (-7 + -25)))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 52694 and 9.\nAnswer: 474246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 8. Let p = j - -5. Let o(t) = 0*t + p - 2 - t + 0. Let r(k) = -k - 2. Determine 2*o(a) - r(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, 1, 18 in descending order.\nAnswer: 18, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*s + 4*s + s)*(6020 - 5881 + 4353) to the form x*s + v and give x.\nAnswer: 13476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.1026854 litres?\nAnswer: 102.6854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 30307 + -14643. What are the prime factors of y?\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3, 7, 15, 27, 43?\n\"Answer: 2*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 + 26*a - 114. Let g be o(4). Let m(w) = 6*w + 3*w + 0*w - 11*w + g*w. Let x(c) be the third derivative of -c**5\/60 - c**2. What is m(x(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 897 and 9096?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -59 - -87. Let s = p + -10. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 4*y + 3. Let z(v) = -21*v - 15. Let g(h) = -11*x(h) - 2*z(h). Let b be g(-2). Let d(p) = 6*p**2 + p. Is d(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of -16*x + 1\/6*x**4 + 0 + 0*x**3 + 0*x**2. Let q(f) = 0. What is f?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-29))\/(4024\/2012)?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 101 divide 289198956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 132971?\nAnswer: 132971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22.34634 kilograms to grams.\nAnswer: 22346.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -27*l**2. Let z(m) = -3*m. Let j(g) = g. Let t(c) = 17*j(c) + 6*z(c). What is s(t(b))?\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**2. Let w be (-4 + (-895)\/(-225))\/(6\/(-9)). Let j(v) be the third derivative of 0 + 0*v**4 + 0*v + 0*v**3 - w*v**5 + 7*v**2. Determine j(y(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40286310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19405, -38812, -58219, -77626, -97033?\nAnswer: -116440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-42)\/45 + (-1 - -2). Put 1, z, -0.3 in increasing order.\nAnswer: -0.3, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -163 - -161. Sort o, 2\/7, -3 in descending order.\nAnswer: 2\/7, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 4 + 5)*(-2*s - 2 + 2) + (-3 - 3 + 3)*(-9 - 3 + 10)*(3*s + 2*s - 3*s)*(2 - 4 + 3) in the form u + x*s and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1010002022021 - 11?\nAnswer: 1010002022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26946, 26878, 26672, 26256, 25558, 24506, 23028, 21052?\nAnswer: 18506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of 2*y**3\/3 - 9*y**2 - 49*y + 1864. Calculate i(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -149.11 - 2.89. Let a = s - -23.1. Round a to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/180 and -167\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of 1\/2*l**4 + 0*l**2 - 1\/3*l**3 - 2*l + 1\/10*l**5 + 0 - 1\/5*l**6. Find r such that g(r) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + 12 = 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -71 + (41 - 179) + 84?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 17 + -7 - (1 - 1). Solve 2*b - 7*b = -d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -75894  (b) -2  (c) 0  (d) 2\/9  (e) -10  (f) 0.1  (g) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/52 and 61\/754?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2974778 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -16761 (base 8) in base 11?\nAnswer: -5839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28 - 33. Which is the closest to -2?  (a) o  (b) 0  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from {m: 2, z: 7, h: 3, y: 4, p: 3}.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 + 9*s - 6. Let r be z(8). Is (r\/4)\/(3\/2190) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 5, g: 6, h: 2}. What is prob of sequence qg?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 47\/8 - 173\/24. What is the second biggest value in 2, 18, -0.9, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1142320 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*t*z**4 + 4437*t*z**2 + 149*t*z - 25*z**2 - 3876*z wrt z.\nAnswer: 36*t*z**2 + 8874*t - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.223422 * 0.003\nAnswer: 0.000670266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(51)\/(sqrt(3)*-2*-4 + sqrt(3))*-4 + -1)**2.\nAnswer: 8*sqrt(17)\/9 + 353\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -335 divided by 67?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 955.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10834 is divided by 2110?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - 19 + 24. 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 decades are there in 472.1443 years?\nAnswer: 47.21443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11857 is divided by 119.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 326458595.\nAnswer: 5, 4451, 14669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -588 = 2*g - 14*g. Let f(c) = c + 7. Let b be f(-5). Let t = b + 5. What is the highest common divisor of g and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2 + 53 + l - l**2 + l**2 - 4*l. Is d(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 685 = 5*z + 715. Let y(d) = d + 2*d + d + d**2 + 7. Calculate the remainder when y(z) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the first derivative of -1 - 2\/3*o**3 - 3*o + 0*o**2. What is the derivative of j(k) wrt k?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from feeggdwgff.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -20, 23, 102, 223, 392, 615, 898, 1247?\n\"Answer: q**3 + 12*q**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 - i**2 - 5. Let u = -23 - -23. Let z be u*1*3\/6. What is w(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 7.74?\nAnswer: -9.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -6*x + 4*x + x**2 - 4*x. Suppose -g + 13 + 9 = 0. Suppose g*d = 27*d - 30. Give i(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 284737961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.72?  (a) 0.3  (b) 0.5  (c) -3  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 23 - (58 + -33 - -9)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 2*x**3 + x**2 - 11*x - 5. Let t(s) = -s. Let f(p) = 4*t(p) - y(p). Is f(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 65084 - 325418\/5. Let z = 0.3 + 0.7. Which is the closest to -1?  (a) y  (b) -1\/15  (c) z  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 - 3*v**2 + 2*v + 9. Calculate w(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (21\/(-6))\/(3\/(-6)). Suppose -3*w - n - 12 = -k*w, 12 = 4*w - 5*n. Calculate the least common multiple of w and 37.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 171873449?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(450) + sqrt(450)*2)\/sqrt(9) + sqrt(400)\/(-2*sqrt(8)))\/(2*sqrt(10)*3 + (sqrt(10) - (sqrt(10) - (sqrt(10) - 1*sqrt(1210))))) + 1)*3.\nAnswer: -15*sqrt(5)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -23014 (base 5) in base 6?\nAnswer: -11322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 27?  (a) -0.2  (b) -3\/2  (c) -1012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3532 and 10596?\nAnswer: 10596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -206 or -212?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 - 4. Let z = u + -5. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) -0.5  (b) -4  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*u = -2*j + 64*u - 19, 0 = -4*u + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (42\/(-45))\/((-6)\/20) and ((-450)\/108)\/((-58)\/6).\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -3*h**3 + 3*h**2 + 90*h - 216 = 0.\nAnswer: -6, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of -1169*m**4\/4 + 2*m**3 - 43*m + 617. Find the third derivative of x(z) wrt z.\nAnswer: -7014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4735000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(180)*1)\/sqrt(9))**2.\nAnswer: -16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2256 - 2232. Let w(v) = -4*v - 3. Let h(d) = d. Let s be h(-2). What is the remainder when p is divided by w(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 - 8. Let l(h) = 11*h**3 + 17*h + 4. Let q(g) = 5*g**3 + 8*g + 2. Let k(b) = -6*l(b) + 13*q(b). Let u(j) = -j**3 + j + 1. What is t*k(y) - 6*u(y)?\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 286304 and -0.4?\nAnswer: -114521.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 24  (b) -40  (c) 31  (d) 1\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2220221 (base 3) to base 14.\nAnswer: ac3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2894137*f**3*v**3 - 20*f**3*v**2 + 9*f**3 + 50*f*v**2 + 5*f*v + 2*v**2 wrt v?\nAnswer: -17364822*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 124 = -5*j - b, -4*j - b = -108. Let h be 1\/(-3) - j\/(-30). Is h at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(19) + -2)*-5.\nAnswer: -25*sqrt(19) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -245 + 246. Let y = -37 + 36.6. What is the second biggest value in c, y, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -496, 0.4, -336, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 61939837398.000000163 + -61939837456. Let j = o - -58. Round j to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 179 by 1189.\nAnswer: 179\/1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the third derivative of -k**5\/60 - 47*k**4\/4 - 6627*k**3\/2 - 4156*k**2. Suppose h(n) = 0. What is n?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-4)\/(k*k**2)*(k\/(k*(k*k**0)\/k))**13 assuming k is positive.\nAnswer: k**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 287204 and 154964.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 58*l*s**3 - 2232794*l*s + 134008783*l wrt s.\nAnswer: 174*l*s**2 - 2232794*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8136 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11084 and 40.\nAnswer: 110840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 0 + sqrt(3) + 1 + sqrt(3) + 3 - (sqrt(75) - (-4 + sqrt(75) + sqrt(75)*-1 + sqrt(75))))**2*-3.\nAnswer: -63 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 10) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 29 + 153. Calculate the highest common factor of 234 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46, -60, -44, 14, 126?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7\/5 - 3*z - 9\/5*z**2 - 1\/5*z**3.\nAnswer: -(z + 1)**2*(z + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -41 + 43 - 5*q + 16*q to o + r*q and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 16*y = 3*q + q + 15*y, -5*y + 1 = -9*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 26 and 19058.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/(-2) - (-3)\/(81\/102). Sort -4, 1, t, -1\/5 in descending order.\nAnswer: 1, -1\/5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -69331242, -69331252, -69331278, -69331326, -69331402, -69331512?\nAnswer: -69331662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -43 + 46.1. Let v = 3 - f. What is the second smallest value in v, 3, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2 - r + 1. Suppose -i + 1 = 2. Let n(q) = -2*q + 34*q**2 + 6 - 4*q - 24*q**2. Let u(o) = i*n(o) + 6*p(o). Let c(z) = 2*z**2. What is u(c(d))?\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5569485863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*-2*(-1)\/(-2) - (-450)\/(-90).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5143082 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 269*z + 5884. Give w(-22).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000040796962 to seven decimal places.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 31*x - 34*x + 21363. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 97*w - 2 - 19*w**2 + 96*w - 194*w + 1 - 1 + 4*w**2 + (0 + w + 0)*(-2*w + 3 - 3) as l + x*w**2 + j*w and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m**4\/7 - 46*m**3\/7 + 218*m**2\/7 + 46*m\/7 - 216\/7 = 0.\nAnswer: -27, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 66144 and 144?\nAnswer: 198432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 60 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1513433923?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 68*j**2 + 79*j**2 + 74*j**2 - 225*j**2. Let z(c) = 2*c**2 + 7*c. Give z(r(p)).\nAnswer: 32*p**4 - 28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -4  (b) 2\/5  (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11777 - 6049. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 * -7.845\nAnswer: 70.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = 4 + 21. Find the common denominator of 3\/36*c*129\/(-10) and -65\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-9 - (-5 - -3))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 - 17. Let r = 142.7 - 143. Which is the closest to -0.2?  (a) -5  (b) z  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = 6, 0 = -2*k + d - 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.01 and -0.57?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of g**3\/6 + g**2\/2 - 11*g - 2. Let q = -80 - -81. Let i(k) = -k - 4. What is q*i(f) + 3*m(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 23.5, 0.07, 0.1, 1\/3, 2\/3, -2\/3, 3\/8?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1033*c*v**3 - 2*c*v**2 + v**3 + 30*v**2 + 32*v wrt v?\nAnswer: 6198*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/17, -4\/11, 0.1888 in increasing order.\nAnswer: -4\/11, -6\/17, 0.1888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -1394*r + 15263. Give n(11).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4267.\nAnswer: 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 9:34 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 35845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 166826 and 8019.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/7 - ((-22490)\/(-91))\/(-10)*1. Let o(s) = -s**2 + 22*s + 47. Determine o(n).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 2156 = -0*d. Is 52 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 435 + d - 435. Let o(t) = -3*t + t + t + 7*t. What is o(g(f))?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 12*n = -30, -4*u + n + 278 = 256 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1\/115, -0.5, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**2)**(-34)*((((x\/(x**(2\/7)\/x))\/x)\/x)\/x)\/(x*x**(-2)*x) assuming x is positive.\nAnswer: x**(-723\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*c**4*m - 13769*c**3*m**3 - 2*c**3 + 2899*c**2*m**2 - 2*m**3 wrt c.\nAnswer: -48*c*m - 82614*m**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16120102 (base 7) to base 10.\nAnswer: -1551097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(13))**2 + 0 - (-5 + sqrt(117)).\nAnswer: -3*sqrt(13) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of 14\/(14\/(-28)*2\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 3*u**2 + 73*u + 66. What is i(-25)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 429 - 428.836. What is the third biggest value in -1\/5, u, 2\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the first derivative of -t**3\/3 - 1. Let f(y) be the first derivative of 3*y**2\/2 - 18*y + 16368. Give f(o(a)).\nAnswer: -3*a**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7685 is divided by 140.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -11*b + 352. Let k be x(36). Let m be 22\/k*(-80)\/14. Determine v so that -16\/7*v**4 - 24\/7*v + m + 96\/7*v**3 - 76\/7*v**2 = 0.\nAnswer: -1\/2, 1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-384)\/66 + -1 + 9\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-1 + 3*sqrt(275) - (-3 + -3*sqrt(275) + sqrt(275)))*6*-4)**2*6.\nAnswer: 345600*sqrt(11) + 23773824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the first derivative of -l**2\/2 - 1. Let f(t) = 8*t**2 + 7*t. Let p(d) = -3*d**2 - 3*d. Let h(q) = 3*f(q) + 7*p(q). Calculate k(h(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 6 + 0 + -12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 144 + 0*s**4 + 33*s - 144 + 22*s**4 wrt s.\nAnswer: 264*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/3 in -4, -1267, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c\/c**(-1\/6))\/(c**(-1\/3)*c))\/(c\/(c**(-3\/5)\/c)*c)**38)**(3\/16))**(-4\/11) assuming c is positive.\nAnswer: c**(4089\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-56)\/980)\/((-2)\/20)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -7201 rounded to the nearest 100?\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/(h*(h*h*h\/((h\/h**(3\/5))\/h)*h*h)\/h)*h*h**(-2)*(((h\/h**4)\/h*h)\/h)\/(h*h**9)*(h\/(h*h**(-2)\/h)*h**(-4))**(1\/22) assuming h is positive.\nAnswer: h**(-2161\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -2*v**3 - 5*v + 2. Suppose 30 = 2*h + 42. What are the prime factors of r(h)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8808934 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 + h + 2. Let m(j) = 6*j**3 - 5*j**2 - 2*j - 7. Determine -m(v) - 4*r(v).\nAnswer: -2*v**3 + 5*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/(3 + 0) + 9. Let t = k - 5. What is the least common multiple of t and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -97 and -732.3?\nAnswer: 635.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3 and -10006.8257835.\nAnswer: -10009.8257835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 6 = 5*s - 1, 4*c - 12 = -4*s. Let t(q) = -q. Let a(j) = -2*j - 3. Calculate s*a(x) + t(x).\nAnswer: -3*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 71461037497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v + 9 + 13. What is the greatest common divisor of 22 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 10 = -5*y + 30, 3*y = -4*g + 32. Solve 5*s - 7 = 3*h + 10*s, 4*s + g = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-4*2)*24\/(-15)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 4 = -2011. Let o = x - 2011\/3. What is the smallest value in 0.5, 0.31, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 divided by -7?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (1\/((-6)\/15))\/(235\/(-564))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 5*h - 25 = 0. Solve h*s - 10 + 0 = 0, 5*k = -4*s + 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 * -378326\nAnswer: 756652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -239\/13 + 971\/91. Calculate the common denominator of -48\/11 and d.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 4*w**3 - 7*w**2 + 13*w - 57. Let m be c(5). Suppose m = 2*f + 197. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/(-3))\/((-2)\/6). Let t(s) = 3*s**3 + 7*s**2 + 5. Let m be 1*5 - (-13 + 13). Let o(r) = r**3 + 3*r**2 + 2. Give m*o(j) + p*t(j).\nAnswer: -j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 77 = 68. Suppose 4*g + t = 101, -4*t = 5*g - 4*g - c. Is 26 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4564 divided by 652.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 18831920 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - 1. Suppose -x - 4 + 6 = 0. Suppose -x*z + 25 + 19 = l. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 - (-29)\/9) + -2. Let -2\/9 + 2\/9*r + 2\/9*r**2 - z*r**3 = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 61670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 20 = u. Suppose -u*g = -g. Suppose 3*n + 1 - 16 = g. Solve n*h - 4*l - 17 = 0, -3*h + 5*l + 20 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 952489.\nAnswer: 19, 50131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(49) - -2*sqrt(1764))\/sqrt(7).\nAnswer: -5 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -118*d**2 - 53530*d - 140712 = 0. What is d?\nAnswer: -451, -156\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3323488.20000035 + 3323489. Let g = t + -0.8. Round g to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10809?\nAnswer: 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29 + -1 - (234 + -173) - (4 - (-2 - -1)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -22642\/9 or -2517?\nAnswer: -22642\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + k = -12, 0 = -2*b - 2*k - 87 + 103 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*g - 5*g = 63. Suppose g = 2*w + 1. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 109*a**4 + 2*a**3 - 1622*a**2 - a + 27784413 wrt a?\nAnswer: 436*a**3 + 6*a**2 - 3244*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4a740 (base 11) to base 15.\nAnswer: 16860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 + (-9 - (2 + -52)) - 4 - 55.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -10\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-12)*(-43 - -31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7581664 - 56764.5.\nAnswer: -7638428.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 51\/32  (b) -0.3  (c) -9  (d) -6  (e) -1  (f) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 12:42 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -51*x - 2 + 40*x + 2. Let v(g) = -2*g**2. Give v(b(d)).\nAnswer: -242*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = b - 3*z - 16, b + 2*z = 0. Suppose 2*h + b = 5*o + h, -5 = -3*o + 2*h. Differentiate o + 0 - 2*i**2 + 1 wrt i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2374 or -2\/2929?\nAnswer: 2374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 - -2. Let a(h) = 5*h**2 + 2*h - 15. Let w(x) = 14*x**2 + 7*x - 44. Let m(b) = -17*a(b) + 6*w(b). Calculate the least common multiple of m(v) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*p**2 + 3*p**2 + 10 - 10 - 4*p**3 to the form j + s*p**2 + v*p**3 + w*p and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2*p + 36. Let r be o(-8). Let v = -18 - -18. Let j = v - -8. What is the greatest common divisor of j and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8\/129 - 202\/903. Let q = 7 - 11. What is the nearest to -0.03 in w, q, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000007119111 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 PM and 10:30 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 AM and 9:10 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -5*y - 8. Let j be x(-3). Let p(f) = 5*f - 4*f**3 - 11*f + j*f. Let k be p(-1). Solve -14 = k*r + 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*r**2 + 3 - 3 + (r + r + 0*r)*(-6*r + 2*r - 2*r).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*d + 4*d + d - 6*d + 7*d + 7*d + (-1 + 1 - d)*(2 + 4 - 4)*(-2 + 0 + 3) to the form t*d + m and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 20*p + 491. Is r(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -69 + 73.504. Let c = n + -0.264. Round c to 1 dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*t**3 - 1351*t + 1351*t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3229  (b) 15.2  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3\/2 + 3*p**2\/2.\nAnswer: -p**2*(p - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3228 divided by 261.\nAnswer: 1076\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 106 - -53. Which is smaller: k or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 36026 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) -4  (c) 0.10591  (d) -0.129  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -167*l**6 - 199*l**3 - 5*l**2 + 23*l + 33 wrt l.\nAnswer: -20040*l**3 - 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2728, -2737, -2700, -2605, -2440, -2193?\nAnswer: -1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1028694355, 1028694354, 1028694353, 1028694352, 1028694351?\n\"Answer: -m + 1028694356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5dbd (base 16) to base 11.\nAnswer: -17036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4222390 by -12.\nAnswer: -2111195\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-2) + (-19)\/(-19). Suppose 4*y + y = -4*g - 6, k = 4*g - 5*y - 14. Solve w + 2 = g, -29 = 5*l + 4*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 445.6219km in nanometers?\nAnswer: 445621900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1819*b*y**3 - y**3 + 31*y**2 - 107 wrt b.\nAnswer: -1819*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-one fifths of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -2*p - 1 + 8, -3*q - 5*p - 5 = 0. What is v in 3\/5*v + 1\/5 - 1\/5*v**q + 2\/5*v**2 - 3\/5*v**4 - 2\/5*v**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**2 - 70*y - 1198. Give t(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -4*r + 6. What is the third derivative of g**r + 8*g**6 + 0*g**2 - 7*g**6 wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.4 - -1.7. Let l be (-99)\/121 + 4\/(-22). Sort l, -2\/9, f in ascending order.\nAnswer: l, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 1:05 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 182 + -182.99. Let d = s + 1. Let g = d + 3.99. What is the second smallest value in g, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -10*k + 38. Let f(s) = -11 + k + 0. Let y(a) = -a - 3. Determine -3*f(x) + 4*y(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000003526 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94*d + 25 + 74 = -371 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-2))\/((-60)\/(-72)*-1*108\/6840)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 47881247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/3, -9\/19, -3\/8, -2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 39 divided by 88942\nAnswer: 39\/88942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/(-18) - (-141)\/27 - 1. Suppose 0 = 2*w - 2*k - 56, -w + k + 16 = 3*k. Factor -2*d**3 + 2*d + 6*d**2 + n + 14*d**2 - w*d**2.\nAnswer: -2*(d - 1)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 4 = -0*i + c, 4*c - 8 = 0. Calculate the smallest common multiple of i and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.5 times 242.45?\nAnswer: -606.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 154 = 185. Suppose 2*r = 3*x - 81 + 26, 5*x - v = -2*r. Is 21 a factor of (-6*x\/(-6))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, q: 2, v: 2, t: 1}. What is prob of sequence qqhv?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 16*c + 14. Suppose c = 7*p + 28 - 42. Solve -q - p = -0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z. Let v(i) = -11 - 24*i - 28*i - 50*i + 114*i + 344. Determine d(v(y)).\nAnswer: 12*y + 333","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -3*p**2 - 2. Let j(t) = 3*t**2. Give j(x(g)).\nAnswer: 27*g**4 + 36*g**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19749?\nAnswer: 3, 29, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 + -24. Let t(g) = 26*g**2 - g. Find the common denominator of (h\/(-98))\/((-2)\/14) and t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (8\/(-14))\/((-14)\/196). Suppose 2*y = l + 12. Suppose p = -3*t + y, -10 = 3*t - 2*t - 3*p. What is the second biggest value in -2\/15, t, -7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40035.7188 rounded to the nearest ten?\nAnswer: 40040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w + 3*m + 22 - 425, 419 = 5*w - m. Let o = w - 82. Sort o, 5, 35 in increasing order.\nAnswer: o, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1573 + 784 + 789 - 1808*p as t*p + f and give t.\nAnswer: -1808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:53 AM and 5:43 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of 1207*n**4\/4 + 760*n**3\/3 + 377. Find the third derivative of g(u) wrt u.\nAnswer: 7242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 553 and 21?\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 3*z = -2*z. Let y = 7 + z. Factor -16 + y*n - 19*n + 24 + 4*n**2.\nAnswer: 4*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8 or -1\/9954204?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 51 + 1.16.\nAnswer: 52.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 + 10*j**2 - 4*j - 40. What is y(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -10*l - 4. List the prime factors of w(-5).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w. Let k(j) = 54*j**2. Determine r(k(z)).\nAnswer: 54*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 187, 187, 185, 181?\n\"Answer: -s**2 + 3*s + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, -10, -1\/2, -3, 5 in decreasing order.\nAnswer: 5, -1\/2, -3\/4, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1366256 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = 25872*p - 25867*p - s, -3*p + 4*s = -20 - 6 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 11:15 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 63439973 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*o - 10*o. Let w be 0 + 0 - -2 - (-2 + o). What is the highest common factor of w and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - 7010273?\nAnswer: -7010277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let z = 140.2 - 131. Put z, 1\/3, 0 in decreasing order.\nAnswer: z, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 196541 is divided by 397.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 409420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (25\/(-10))\/(14490\/(-756)).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 124099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 13*b - 1. Let h(a) = 2 + 5*a + 3*a**2 - 2*a**2 + a + 4. Let t be h(-6). Suppose 6*u = -0*u - t. Calculate z(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1666 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-448)\/(-12) - 5) + 772\/(-579)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9068*h - 72250 + 267333 + 224173 = 65604 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 27\/54*(11 - (-1 - -2)). Suppose -k = -j*k + 104. What is the second derivative of k*d**4 - 298*d - 7*d**4 + 280*d wrt d?\nAnswer: 228*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 AM and 9:12 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 - 2*o**2 + 3*o - 2. Let l be a(2). Suppose q - 5 = -l. What is the highest common factor of q and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 729 is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*v**4 - 182*v**3 - 4044*v**2 + 4600*v + 8464 = 0. What is v?\nAnswer: -46, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 41 + -43. Let l be 1106 + -2*(3\/h - -2). Suppose 2*g = 4*p - 2762, 5*g = 5*p + l - 4555. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - -10301?\nAnswer: 10311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, z: 8, d: 3, k: 4, f: 2}. Give prob of picking 1 p, 1 z, and 1 k.\nAnswer: 64\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 20 + -14. Suppose -w - 2 = v, -v + 0*v = -3*w + n. Calculate the highest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24716870 rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(5) + -2)*2.\nAnswer: -2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -8  (b) -2\/17  (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*k = -8*k + 23*k + 78 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2585887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*h + 29*h - 35 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 less than -5.77371?\nAnswer: -3.77371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 738927 is divided by 4452.\nAnswer: 4347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 - 15. Let l = n - -1. Sort -2\/9, l, 3\/7, -5 in increasing order.\nAnswer: -5, -2\/9, 3\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 2*f - 11. Let q be d(7). Let w(j) = -26*j**2 + 6*j. Let a(c) = 3*c**2 + 6*c**2 - c - c. Let u(k) = q*w(k) + 8*a(k). Factor u(g).\nAnswer: -2*g*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -36) + (82830\/(-21))\/110?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 1. Let m = -345587 - -345599. What is the nearest to 1 in j, m, -1\/3, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*m + 70 - 69 = -367 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -2*d + f + 1037, d - 4*f - 521 = 0. List the prime factors of d.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20180 is divided by 3862.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 4*t - 94, t - 36 + 0 = -2*h. Let z = t - 20. What is the remainder when 27 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p - 2. Let z be (10\/6)\/((-2)\/12). Calculate the remainder when 22 is divided by k(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -63 + 68. Suppose -2 = -o*b + 38. Suppose -4*s = -3*t + t - 48, 0 = -2*s + 3*t + 24. What is the lowest common multiple of b and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 12 = 0, c - 5*f - 304 = -73. Calculate the remainder when 1091 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -0.4, 2\/5, -3, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in twenty-seven quarters of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 + 14*h**2 + 31*h - 24. Give m(16).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9136 divided by 16?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 3*d = -6. Suppose 3*h + d = 11. Factor 9*c + 2*c**3 + 1 + 3*c**3 - h - 12*c**2.\nAnswer: (c - 1)**2*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181c210 (base 13) in base 3?\nAnswer: 112202221111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*6*(4*(-4*(sqrt(45) + -1) - sqrt(45))*-4 + -2).\nAnswer: -1584 + 5760*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 7, 10, 3, -20, -65, -138, -245, -392?\n\"Answer: -x**3 + x**2 + 7*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18353*w + 46736*w + 24083*w.\nAnswer: 89172*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -26 + 32. Suppose 23 = 5*b - 12. Suppose 4 = -5*r + b*r. Sort r, c, 5.\nAnswer: r, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 - 6*g**2 - 6*g - 7. Let y be i(7). Suppose -28 = 5*b + 4*v, 2*b + y*b + 4 = 2*v. Does 14 divide (0 - 5)\/(1\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -179896 divided by -22487?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -716, -5571, -18718, -44303, -86472, -149371, -237146?\nAnswer: -353943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 - 2*b**2 - 3 - 3 - 32*b**3 - 2*b**3 + b to i*b**3 + n + t*b + q*b**2 and give i.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -203\/5 + 41. Let g = 0 - -1. Let n = 2 + g. Is s less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - -126?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t - 9*d + 4*d + 2 = -3, -5*t - 67*d + 70*d = 34 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 605288 to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 407*h**3 - 303 - 285 - 3*h**4 + 874 - 285 as l*h + c*h**3 + k*h**2 + f + b*h**4 and give c.\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 - 19*v**2 - 29*v + 82. Determine a(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tdk when three letters picked without replacement from datofdookktd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w**2 + w**2 - w**2 + (-1 + 1 - w)*(2 + w + w - 10) in the form m + p*w**2 + t*w and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 300044541 - 5?\nAnswer: 300044533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + -13311111?\nAnswer: -13311111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 7*j**2 - 1949*j + 92199. Give c(218).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -23909*t*x**3 - 268*t - 41 wrt x?\nAnswer: -71727*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 65, -66886, 3, 4 in decreasing order.\nAnswer: 65, 4, 3, -66886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/6*1*0\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-6*2*sqrt(228) - sqrt(228) - sqrt(228)) + (sqrt(228) - sqrt(228)*1)*-1)\/(-5*(1*sqrt(432) + sqrt(432))))**2.\nAnswer: 931\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**4\/3 + 4*q**3\/9 + 74*q**2\/9 + 8*q\/3 = 0. Calculate q.\nAnswer: -3, -1\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2383536181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 920 divide 119291800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 3*z + 28. Let v(w) = 13*w + 110. Determine -9*l(p) + 2*v(p).\nAnswer: -p - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 + -77 + 33 + -28 + 9.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 703, 695, 689, 685, 683?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i + 3 - 3 = 7*i. Find y such that i*y - 1\/4*y**2 + 0 + 1\/8*y**5 - 3\/8*y**3 + 0*y**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 453 and 24.\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3 - -10) + (-1 - -1). Let j = 121 + -86. What is the highest common factor of c and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 5*a = 6, -4*h - 48 = 2*a - 66 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 63086211 rounded to the nearest one hundred thousand?\nAnswer: 63100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of -679*d**4\/12 + 253*d**2\/2 + 2*d - 131. Differentiate p(j) with respect to j.\nAnswer: -1358*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 + -12. What is the third derivative of -2*v**4 + v**4 - m*v**4 - 4*v**2 - v**2 wrt v?\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**15*h**8*(h**(-2\/9)\/h)\/(h\/(h**21*h)) assuming h is positive.\nAnswer: h**(385\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -13*h - 760. What is f(-59)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**3*m*m)\/(m\/m**(1\/27)) assuming m is positive.\nAnswer: m**(109\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + -5. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.09102 + -0.081. Let g = -0.01 + u. What is g rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-44 - -41) + 24\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.9 - -0.9. What is the nearest to -0.1 in q, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7893 is divided by 239.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 169\/30 and 29\/8394?\nAnswer: 41970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1\/2  (b) -2\/7  (c) 1823.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(-5)*b)**(1\/7)*(b**(2\/3))**(8\/7) assuming b is positive.\nAnswer: b**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -3.75?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 2*m - m = 11, -4*h + 3*m + 8 = 0. Let l(p) = -9*p - 16. Let z be l(-3). Suppose -8*y = -z*y - 51. Put -4, y, -2, h in decreasing order.\nAnswer: h, -2, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnnnrrnrrn. Give prob of picking 3 r.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a + 9. Give c(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 16b3 - 17?\nAnswer: 169c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 335, 332, 329?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 16608 (base 10) in base 8?\nAnswer: 40340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 148491693 and 4662.\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2  (b) -285.61  (c) -2\/3  (d) 3\/2  (e) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 2*u + 3 - 7 + 6 to j + k*u and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.03 + 0.33. Sort g, 0.2, 13\/2.\nAnswer: 0.2, g, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2668 and 107192236?\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3*(3\/8)\/((-54)\/12)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136*x = -124*x - 24. Let y = -11 + 12. Sort 4\/9, x, y in ascending order.\nAnswer: 4\/9, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1750 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2004 (base 7) to base 9.\nAnswer: -846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 2*a - 3*i + 15, i - 5 = a. Suppose a*h + 7*h + 700 = 0. Round h to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - z = -21, 5*f - z - 30 = -6*z. Let v(s) = f*s**2 - 2*s + 1 + 0 + s. Is v(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwdudbtb. Give prob of sequence dubw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the second derivative of x**6\/540 + x**5\/270 - x**4\/108 - x**3\/27 - 5*x**2\/2 + 9*x. Let m(w) be the first derivative of a(w). Factor m(v).\nAnswer: 2*(v - 1)*(v + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-40)\/54*(-8)\/(-48)*(-60)\/100.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -y**4\/2 + 313*y**3 + 3783*y**2\/2 + 2842*y + 1264 = 0.\nAnswer: -4, -1, 632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 374 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/10*1)\/((-176)\/(-220))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -87101 divided by -184.\nAnswer: 3787\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 9:12 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -j - 1, -4*j + z + 2*z = -15. Suppose -2*n + 223 = 5*y, -5*n - j*y + 4*y = -544. Find the second derivative of m + 6*m**3 + 109 - n wrt m.\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/8 + 8\/32.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7926352573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -111033 (base 4) in base 15?\nAnswer: -609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 4)*(3 + 3 - 4)*(207*a**3 + 41162 - 2*a**2 - 41162).\nAnswer: 414*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 167*g + 2. Let c be u(-6). Let h be c*(1 + 11002\/(-2)). Round h to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (0 + 2)) + (-40 - (59 - 80)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -0 + 2. Let t be g - (0 - 1) - -4. What are the prime factors of 50\/t - (-3)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 6*n**3 + 5*n**2 - 9*n - 56. Calculate p(-4).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.007, 17, 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1073 + 14804. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6962 - 162. Suppose -11651 = -5*t + 2*s + m, -5*t + 3*s + 18449 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of -11*h**7\/210 - h**5\/60 + 11*h**2. What is the third derivative of b(q) wrt q?\nAnswer: -264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 8*i - 4. Suppose 0 = b - 6 + 3. Let o be f(b). Let m = o + 12. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/11  (b) 0.5  (c) -2\/3  (d) -16  (e) 807\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2*m - 2. Let x be j(-2). Let r be ((-96)\/12)\/(2\/x). Calculate the common denominator of 2\/r + (-329)\/56 and 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -105*h + 83. Let v(z) = 27*z. What is n(x) + 4*v(x)?\nAnswer: 3*x + 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 - -1. Let k = -3.0000007 + c. What is k rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.642164 and -0.05.\nAnswer: -0.0821082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*y + 4 - 4)*(-6 + 0 + 4)*(-3 + 2 + 3 + (-11 - 6 - 11)*(-2 + 5 - 1)).\nAnswer: 540*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from ssheirislssslil?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 39.3 + 4.7. Let y = 0.34 + 26.06. Let b = x - y. What is b rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*g**2 - 195*g**2 - 56*g**2.\nAnswer: -290*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3036 - -1b638?\nAnswer: 18602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 24\/175 and 11\/106010.\nAnswer: 3710350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 183855 and 5253.\nAnswer: 183855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 63.00392558363 + -3?\nAnswer: 60.00392558363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(1\/2)*j*j)**(2\/67)*(j\/((j**(2\/3)*j)\/j*j*j))**(-3) assuming j is positive.\nAnswer: j**(342\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 98548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 76\/6 - (-6)\/(-9). Solve 0 = g - 4*g + p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -59 - -48. Calculate the common denominator of 125\/6 and (b + 10)\/((-16)\/93).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 - (-1 - 2\/(-1)). Let f = 1.77 - 2.07. Sort -0.5, y, f, 3\/2 in ascending order.\nAnswer: y, -0.5, f, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -695*j**5*n + 10*j**4*n**3 + 245*j**2*n + 21*n**3 wrt j?\nAnswer: -41700*j**2*n + 240*j*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t - 3. Let f be k(6). Suppose 0 = 5*l - 2*l - 36. Solve -4*w = f*s + l, -2*s + 12 = 3*w - 5*s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1731019, -5, -1.4.\nAnswer: -1731019, -5, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -33 + 31. Let q = -0.1 + 0.2. Which is the nearest to q?  (a) 1\/6  (b) k  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -15\/89 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2111 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n - 7*n + 2*n)*(-2*n + 2 - 2)*(5*n + 5*n + 1 - 8*n).\nAnswer: 32*n**3 + 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 31 - 7. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 + 8*u**2 + 16*u + 6. Let q be j(-5). Solve 0 = -3*z - 13 + q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 47, -1, 1 in ascending order.\nAnswer: -1, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 97709621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2*t**2 + 14*t - 8. Let a be v(6). Differentiate -5*x + a*x - 11 + 11*x wrt x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zo when two letters picked without replacement from zsssrro?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -139\/511 + -1\/73. Which is the closest to 1?  (a) -5  (b) -0.1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*v + 18*v + 580. What is the remainder when (1 - 3 - v\/(-16))*20 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -28 + 8. Suppose -k*m + 15 = -3*c - 194, 182 = 4*m + 5*c. What is the remainder when m is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.19782902 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -81919025 divided by -8?\nAnswer: 81919025\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 2*m + 15694 = 15692, -1 = 3*a - 2*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4026394?\nAnswer: 2, 2013197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 373942493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 + 8. Let a = p - -0.00000022. What is a rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5724772.2 minutes to weeks.\nAnswer: 567.93375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -38, -56, -74, -86, -86, -68, -26, 46?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -344, -294, -210, -92, 60, 246?\n\"Answer: 17*s**2 - s - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-98)\/(-35)*(-8)\/(-28)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4127*s**3 + 2483*s**3 + 10330*s**3)*(4*s - 7*s + 4*s) to f*s**2 + x*s**4 + q*s**3 + p*s + h and give x.\nAnswer: 8686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1229536 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13858 is divided by -56*(19\/114)\/((-4)\/9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -240.866 + 241. Let n = 0.202 - h. Round n to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1156788*f**2 + 25775255*f.\nAnswer: -2313576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w - 3 = 8*w. Calculate the highest common factor of w and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -126144022 (base 7) in base 14?\nAnswer: -1120712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, -3, -9412 in increasing order.\nAnswer: -9412, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3493902?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1250 is divided by 403?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 0 - (-2 + (4 - 1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 59  (b) 0.2  (c) -2\/3  (d) -6890  (e) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/o**(-2\/7)*o)**(-30\/13))**14*(((o*o\/o**3)\/o*o)\/o**(3\/7))**(-11\/7) assuming o is positive.\nAnswer: o**(-66190\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 603114624.\nAnswer: 2, 3, 7, 29, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/6*(-8 - (-9 + 3)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*q - q - 14 + 14.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 80387996*d*q**3 + 95355*d*q - 2495*q**2 wrt q.\nAnswer: 482327976*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -7 - (7 + (-284)\/20). Which is the closest to -1\/4?  (a) 22  (b) -5  (c) 4  (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 - -1 - -1 - -1)\/2. Suppose q = -7*d + 20*d - 1092. Does 42 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/555?  (a) 0.4  (b) -0.5  (c) 1\/4  (d) 789\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -0.3, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 3\/7372 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3.540188 + -5\nAnswer: -1.459812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -707  (b) -17  (c) 36\/11  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -31132000 + -10?\nAnswer: -31132010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 - 1*(-1 - 7). Suppose -1 = 2*l - d. Solve -k - 3*w - 14 + 5 = 0, -2*k = -w - l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 882845.\nAnswer: 5, 317, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/421101726 and 11\/210550863.\nAnswer: 421101726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -5*m**3 + 5*m**2 + 2*m + 1. Give z(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(1\/(-7)))\/(38\/5472*-36).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/76209 and 2\/195775.\nAnswer: 78114225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 21\/105 - 2\/10. Solve u*r = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*s - 10*s = -4*m + 838, -2*m + 1676 = 4*s. What is the remainder when s is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9692591 and 12213?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/10*8)\/((-14)\/(-35)). Let k(j) = 38*j**2 + 5*j - 12. What are the prime factors of k(p)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -2*c - 12. Let g be k(-5). Find the common denominator of 0 + 5\/((-210)\/(-68)) + g and 5\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -458, -2567, -7322, -15713, -28730, -47363, -72602, -105437?\nAnswer: -146858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v**(2\/5)\/v)\/v*v*v)**(-3)*(v**(-1)*v*v)\/(v*(v*v**(4\/9)\/v)\/v*v*v*v*v))**(-1\/9))**(-3\/4) assuming v is positive.\nAnswer: v**(-209\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 731*m - 5 = 736*m, 4*m - 2 = 10*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in 0.08, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -924 - -1a6?\nAnswer: -77e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 403 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.588631 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 + i**2 + (-3 - 1 + 5)*(-3 + 3 - 2*i**2) - 2 + 2 - 2*i**2 + (-i**2 - 2 + 2)*(-4 + 5 - 2).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(117) + 1 + sqrt(117)\/(sqrt(27)\/sqrt(3)))**2 + ((sqrt(13) + -1)*-4 - (3 + sqrt(13)*1))*-2.\nAnswer: -629 - 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of 0*k - 1\/5*k**5 + 1 + 3\/2*k**2 + 0*k**3 + 0*k**4. Find the second derivative of a(j) wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 4, -4*l - r + 0*r + 18 = 0. Let g(s) = -5*s**2 + 3*s - 2. Let t be g(1). Let v be (l - 6)*2\/t. Solve m - v = 5*d, 2*m + 5 = 7*m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5455, -20972, -46545, -82168, -127835, -183540, -249277?\n\"Answer: j**3 - 5034*j**2 - 422*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:41 PM and 9:04 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in -2, -4\/9, 0.8, 12, 2\/7?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 642 divide 15637194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34 - -3 - (54 - 66).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 PM and 4:42 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 315871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 120*n - 115*n - 40330, 2*n + 16116 = 2*h. What are the prime factors of h?\nAnswer: 2, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9833\/3 + 3278. What is the biggest value in 13\/5, r, -0.3, -1?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express c + 3471*c**2 - 963*c**2 - 2*c + 232*c**2 + 0*c as l*c**2 + f*c + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 624956 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36 + (-14 - -13) + 34.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -84 - -32751?\nAnswer: 32656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23220 + 24405 = 79*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-5 + 5*(-1 + 1 + sqrt(304) + 3*(sqrt(304) - sqrt(304)*-1) + sqrt(304)) + -4)*-5)**2.\nAnswer: -1800000*sqrt(19) + 304050625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + y = 2*m - 35, -4*m + 25 = 3*y. Let w = y - -14. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13892600?\nAnswer: 2, 5, 69463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nooonenaoonenevnann. Give prob of sequence vnen.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 12) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.18463 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 25 - 8*z**2 + 32 + 21 - 119 + 9*z**2.\nAnswer: z**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2937071, 2936944, 2936817, 2936690, 2936563, 2936436?\n\"Answer: -127*w + 2937198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/18)\/(215\/(-129))*-3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 60\/1320*22\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (3 - -2) - (82 + -81).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (2 + -2)\/((-24)\/6 + 1) and -91\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4933439?\nAnswer: 7, 704777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.55  (b) -8  (c) -2\/69  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 35551402 divided by 17775701?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:05 AM and 7:28 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -28 - ((15 - 14) + 26 + -69)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-25))\/((-91)\/455)*((-1710)\/(-12))\/(-5)\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2210387*w - 860795.\nAnswer: -2210387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(504)*4)\/(4*sqrt(200)).\nAnswer: 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2261*x - 1116*x - 1146*x + 7 + 570*x**2 + (-x - 1 + 1)*(-3*x + 3*x + x) + 0*x**2 - 2*x**2 + 4*x**2.\nAnswer: 571*x**2 - x + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - (18 - (-6 + (-18 - (15 - 67)))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 388690749.9117044419 - -0.0882955581. Let d = j - 388690759.00000004. Let p = d - -9. Round p to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11270 smaller than -146506\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Is 2105175091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 29 - 14\/(-49)*-35. Solve 0 = b*r - 8*r + 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 2 = h - 1, 4*h - 5*q = 21. Find the third derivative of h*l**2 - 2*l**5 - 11*l**3 + 11*l**3 wrt l.\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5976\/29 or 0.2?\nAnswer: 5976\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24 and 2705199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -164.17 - -165. Let m = o - 3.83. Which is the second biggest value?  (a) -2  (b) 3\/8  (c) m  (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 - 11111111111010001001101?\nAnswer: -11111111111010001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -822 - -69872\/85. Are 0 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 156481.\nAnswer: 13, 12037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 24*p + 4. Let t(v) = 26*v + 4. Determine -2*n(x) + 3*t(x).\nAnswer: 30*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 622 = 5*r + 845, 0 = -3*r - m - 877. Let x = -172 - r. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of -25*a**6\/63 + 12*a**5\/7 + 83*a**4\/14 - 428*a**3\/63 - 236*a**2\/7 - 240*a\/7 - 1308. Determine t, given that h(t) = 0.\nAnswer: -6\/5, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(171)*-5 - ((sqrt(171)*1 - sqrt(171)) + -5)) + 5 + -6*(-1 + sqrt(171)))*6*-5)**2 + -1 + 3.\nAnswer: -86400*sqrt(19) + 384302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u - 1. Let r be k(-5). Suppose 3*n = r*h - 15, 3*h + 0*n + 10 = -2*n. Let b(p) = p**2 + p - 7. Calculate b(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/(-216)*6)\/(-4)*(-1376)\/(-4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 166576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the first derivative of j**4\/24 + 2*j**3 - j**2 - 1. Let r(q) be the second derivative of a(q). What is the tens digit of r(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the second derivative of s**3\/3 - 9*s. Let v(r) = 37*r + 34*r + 10*r. Let a(k) = 5*k. Let p(c) = -99*a(c) + 6*v(c). Calculate w(p(b)).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-64)\/432*9\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 27*s**3 + 56*s**2 - 11*s + 5. Let f(i) = 13*i**3 + 28*i**2 - 5*i + 3. Let k(c) = -5*f(c) + 3*p(c). What is x in k(x) = 0?\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y = 0, c - y + 3 = -0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j + 2 - 2)*(2*j + 2 - 2)*(105*j**2 + 200*j**2 - 444*j**2).\nAnswer: -556*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 - 4*l**2 - 3*l - 5. Suppose 0 = -4*d - 22 + 6. What is the remainder when c(d) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -1\/509?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -51.9 + 7.7. Let z = l + 40. Let h = z - -4. What is the closest to h in 5, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2995?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 16*a**3 + 5*a**2. Let v(c) = -16*c**3 - 4*c**2. Let i be -30*(-3)\/(-45)*5 + 5. What is i*v(u) - 4*q(u)?\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -30181 less than -569?\nAnswer: 29612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22045 is divided by 3130.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 16\/28 + (-72)\/(-21). Suppose 4*q - 5*k = 202, 0 = -2*q - k - a*k + 116. Is 49 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -197, 1, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 420 - -32. Let t = -302 + l. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, j: 4, q: 2, d: 10}. What is prob of sequence qjk?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 41340467 + -12140467. What is c rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (24\/(-30))\/((-6)\/(-25)). Let b = m - -8\/3. Let g = -0.00697 - -0.10697. Is b at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of 2*z**3\/15 + 106*z**2\/5 - 432*z\/5 + 3268. Find x, given that w(x) = 0.\nAnswer: -108, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c + 0*c - 3 + 2*c - 2*c. Let l be a(8). Suppose -2*u - u = -4*p + 16, -3*p + 12 = -3*u. Solve u = n + l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10 and -2950.429.\nAnswer: -29504.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.35 - 1.45. Let b = s + -8.9. Let j = b + 14. Which is greater: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 33234?\nAnswer: 2\/16617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 3*y - 462 = 0, -5*c - 3*y + 240 = -3*c. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 - 6*a**2 + 8*a. Suppose -14 - 21 = 5*o. Let l be j(o). What is the units digit of (-2)\/7 - 51\/l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c and 1 x when four letters picked without replacement from ccccxcccccccccccccx.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 94145.49 millennia?\nAnswer: 94145490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y = y - 5, -2*c = y - 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3080 = -5*b + 405. Calculate the greatest common factor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of -1612*k**6\/15 + 749*k**2 + 2498*k + 2. What is the first derivative of a(i) wrt i?\nAnswer: -12896*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rl when two letters picked without replacement from {z: 2, r: 1, l: 3, k: 1, x: 2, i: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ckfk when four letters picked without replacement from {c: 3, x: 4, k: 10, f: 2}.\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1160561, -1160548, -1160533, -1160516, -1160497?\n\"Answer: w**2 + 10*w - 1160572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s = -7*l + 137 - 15, -5*l + 122*s - 150 = -6*l + 127*s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11211 + -100901\/9. What is the nearest to 3 in 2\/3, 1\/4, 2\/7, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10870818 to the power of 1\/2, to the nearest integer?\nAnswer: 3297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -7*r - 369. Determine h(-54).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4179 = -4*q + 5*g, -2*q + 3*g + 5214 = 3*q. Suppose 0 = 3*t - q - 720. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/2*(137\/(-1233))\/(11\/9)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -4)*1014\/(-44109)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156 + 4 = -19*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 18*f + 13. List the prime factors of r(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 181*l - 271*l - 185*l + 125.\nAnswer: -275*l + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 10, c: 10}. What is prob of picking 3 c?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*3.14\nAnswer: 1.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (19 + -1 - (10 + -15 + -1))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2243883 - 2243590 + 298*c**4 + 317*c**4 wrt c.\nAnswer: 2460*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-18680003)\/2*-6*(-16)\/(-24). Suppose -3*z = 2*a - f, a - 4*z + 56040008 = 4*a. What is a rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 69*(-3)\/(-9)*-1. Let f = m + 48. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:42 PM and 1:30 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/63 in -4, -2\/11, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -63216 (base 12) in base 4?\nAnswer: -133231302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 17 = -r, 0*r = -5*r - 3*k + 34. Suppose -4*j = 3*f - 2 + 1, 5*f + 45 = r*j. Suppose v = j*v - 7*v. Solve v = -5*u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6 - 7)*7*1. Let b(t) = -5*t**2 + 20*t - 18. Let q(g) = -3*g**2 + 10*g - 9. Let d(z) = l*q(z) + 4*b(z). What is the units digit of d(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3841.469 seconds?\nAnswer: 3841469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c + 4*w = 1, 4*c - 143 = 4*w - 135 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 3*w + 14 = w, -5*l = 5*w - 25. Suppose 4*f - 40 = 3*t, 5*f - 3*t + 2*t - 50 = 0. Suppose -2*o - 3*o = f. Put 3, o, l, 4\/7 in ascending order.\nAnswer: o, 4\/7, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {m: 3, y: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from {v: 1, m: 1, i: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = -10*u - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -467667 (base 8) to base 9\nAnswer: -263022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*o**2 + 33*o**2 + 144*o**2.\nAnswer: 173*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 139 times -1.98\nAnswer: -275.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 3 + 0 + ((-2464)\/(-35))\/32.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 294*g**3 - 3*g**2 + 15. Let w(z) = 442*z**3 - 4*z**2 + 21. What is -7*p(o) + 5*w(o)?\nAnswer: 152*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*x - 142 = -34*x. Let u = 89 + x. Suppose -4*a + u*a**2 + 2 + a**3 - 6*a**2 + 3*a**3 - 14 = 0. Calculate a.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.04163 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -1 + 13. Suppose 0 = 6*r - 3*r - p. Suppose 14 = r*y - 2. Solve -3*w = -4*w + y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -17 at least 882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6842 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: In base 13, what is 4 - 189?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 2 = 2*w, 5 = -2*w - 3. What is the remainder when 3 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ctcttctttttt?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -103*d + 137. Let g(z) = 105*z - 136. Let b(o) = 2*a(o) + 3*g(o). What is the first derivative of b(l) wrt l?\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -0.102089?\nAnswer: 0.0102089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145*f + 1819108 = 11019938. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -7*g - 1. Let q be r(3). Let n = q + 25. Suppose n*s + 0*s - 93 = 0. Is s 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 14105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00055651798 rounded to 7 dps?\nAnswer: -0.0005565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 17 = 4*n, -5*n + 0*v - 13 = v. Let a(l) = -l**2. Let u(i) = -2*i**2. Let y(z) = n*u(z) + 5*a(z). Let x(h) = h**2 + 21*h. Determine y(x(r)).\nAnswer: -r**4 - 42*r**3 - 441*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the first derivative of 333\/4*d**4 + 44 + 0*d**2 - 2*d - 37\/3*d**3. Find the third derivative of r(m) wrt m.\nAnswer: 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2769, -5500, -8219, -10920, -13597?\n\"Answer: k**3 - 2738*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/3 and 119\/1028010.\nAnswer: 1028010","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 116*c - 51. Let w(n) = -59*n. Determine w(d(f)).\nAnswer: -6844*f + 3009","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 - 539*h - 13 - 809*h + 6 as p + g*h and give g.\nAnswer: -1348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -108 + 44 + 52 + 5*v**2 + 2*v. Let i be o(-5). Let c = 110 - i. What is the remainder when 31 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 + (352\/20)\/4 + -4. Let r be -4 - (-5)\/((-25)\/(-24)). Solve 2\/5*i**3 + x*i + r*i**2 + 0 = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*u**5 - 3*u + 0*u + 20*u**4 - 20*u**4 wrt u?\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/19 in 85, -5, -49, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -375 = 8*k - 1183. 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 square root of 65415747 to the nearest integer?\nAnswer: 8088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 - 3*t**2 - 5*t. Let h be n(-2). Solve -2*b = b + h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x + 5. Let h be z(-5). Let y be 5\/(5\/(-6)) + 0. Let b = h - y. Solve -a - b = -3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12 and 576.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (1 - -2 - 13 - (1 + -10))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 + 8*j**2 + 3. Let r be y(-8). Solve r*s - 8*s = 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 7 = -r - 0*a, -3*r + 2*a = -35. Let s = -10 + r. Let f be s + 3 - (-3 + -19). Calculate the highest common divisor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -25096, -50194, -75292, -100390, -125488, -150586?\n\"Answer: -25098*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 267 a factor of 2890542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-161)\/92)\/((-4)\/(4800\/175))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*i**3\/11 + 38*i**2\/11 - 10*i\/11.\nAnswer: 2*i*(i + 5)*(4*i - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 - 20*m**2 - 6*m + 11. Let a(s) = s**3 + 19*s**2 + 6*s - 11. Let v(o) = -7*a(o) - 6*d(o). Is v(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -74*p - 6487. Let x be n(-66). Which is smaller: -1606 or x?\nAnswer: -1606","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -128.0000154 + 128. What is x rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*f**2 + 5 - 8*f**4 - 10*f + 2 + 11*f**2 - 11 + 4*f**4 in the form a*f**4 + u*f**2 + l + n*f**3 + i*f and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -6*h - 66. Let s be f(-12). Let j be 42\/21 - (1 - s). Is 15 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/1 + (-3 - (-524979)\/13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*b*s**4 + 2*b*s**3 - 4*b*s**2 - 3711792*b*s - 3*b - 4*s**4 - 117981*s**3 + s**2 wrt s?\nAnswer: 48*b*s + 12*b - 96*s - 707886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16274906 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.82533 millilitres to litres.\nAnswer: 0.00982533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 11, -1, 20, 1935 in increasing order.\nAnswer: -1, -0.5, 11, 20, 1935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -89*b**2*n**2*x - 14*b**2*n*x**2 - 3*b*x - 3*n**2*x**2 + 72*n**2 + 901*n*x**2 wrt x?\nAnswer: -28*b**2*n - 6*n**2 + 1802*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 2) + (-1 - (4 - 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 3*g + 2*i = 2, -5*g = -i - 25. Suppose 3*d - 6*q = -g*q + 36, -3*q = 9. Suppose 2*w + 3*r - 6 = -0*r, -5*w + d = 5*r. Are 0 and w nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2514914 and 0.4.\nAnswer: -1005965.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -3*l**3 - 9*l**2 - 11*l. Let v(g) = -2*g**3 - 8*g**2 - 10*g. Let o(p) = -3*p**2 + 27*p - 17. Let w be o(8). What is w*v(a) - 6*s(a)?\nAnswer: 4*a**3 - 2*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 4*f - 21. Let p be k(7). Let i(u) = u**3 - 5*u**2 - 12*u - 16. Let q be i(p). Which is greater: q or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 4*((sqrt(1539) + 2*sqrt(1539))**2 + sqrt(1539)).\nAnswer: 36*sqrt(19) + 55402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 5 = 2*h + 2*h, -h + 5*u = -5. Suppose 0 = -n - h*n + 120. Suppose 3*x - x - n = 3*b, -3*b + 165 = 3*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 294 and 13307154?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 36384 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3762 - 37743\/10. Suppose l = 6*l + 60. Calculate the common denominator of k and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 198*b - 176. Calculate the least common multiple of n(1) and 68.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 4) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 48598.71\nAnswer: 4859.871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 103808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5722 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -173065, -173077, -173089, -173101, -173113?\nAnswer: -173125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2*c**2 + 405*c - 994087. Determine l(611).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 20*v - 11. Let j be b(1). Let k(q) = -2 + 13*q + j - 7. Let z(d) = 7*d**2. Calculate k(z(p)).\nAnswer: 91*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-460)\/(-10) - (1 - -1). Let c = -25 + h. Calculate the remainder when c is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 + 603\/63)\/(-2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w - 3*w + 0*w)*(-152*w**2 + 152*w**2 - 28*w**4 + w**3) + 16*w**5 - 7*w**5 + 2*w**5.\nAnswer: 39*w**5 - w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d**3 - 270*d**2 - 19481*d - 196620 = 0. Calculate d.\nAnswer: -145, -113, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 + -3312444?\nAnswer: -3312443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 26485363.8 nanoseconds?\nAnswer: 0.0000000437919375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 56654, 113309, 169966, 226625, 283286, 339949?\n\"Answer: w**2 + 56652*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 154 is divided by 54.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve v**2\/4 + 14359*v\/4 + 10767 = 0 for v.\nAnswer: -14356, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - 5215352?\nAnswer: -5215352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -4*o**2 - 5. Let j be p(2). Round j to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 65?  (a) -141514  (b) 5  (c) 3\/2  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = -3*j + 5*z, -6*j + 2*z - 18 = -2*j. Let r = -176 + 177. Sort r, 3, j in increasing order.\nAnswer: j, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes after 3:11 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 2, 749, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 136 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 5*p**2 + 0*p**2 - 3*p**2. Let t(r) be the second derivative of 0*r**2 + 2*r + 1\/3*r**3 + 0. Calculate t(b(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.19 times -192429?\nAnswer: 36561.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2652\/51 - 49)*(-42)\/(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 123\/10 and ((-10)\/21)\/(24\/14).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 154 divide 269991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39, 42, 47, 54, 63, 74?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 + -3305.9590014.\nAnswer: -3306.3590014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 85, 456, 1119, 2086, 3369, 4980?\nAnswer: 6931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-2 + (sqrt(5) - sqrt(20)) - 2*sqrt(45))**2 + (sqrt(5) + -5 + sqrt(125) + -4)*1.\nAnswer: 34*sqrt(5) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -58157792 divided by -2?\nAnswer: 29078896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20)\/8*(-61)\/(2135\/(-84)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1530)\/(-88) - 1463\/836 - 16?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 43, 65, 89, 115, 143?\n\"Answer: k**2 + 19*k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 33 and 9310641?\nAnswer: 102417051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 37\/5 of a day?\nAnswer: 10656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20 + 44. Suppose -4 = 10*g - y. Which is smaller: g or 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-96))\/((-3091)\/(-220) + -14)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4314 (base 5) in base 6?\nAnswer: -2412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87 - y + 0*y + 6*y.\nAnswer: 5*y - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b - b + 12. Suppose 3*j - j = -48. Let o = 34 + j. What is the remainder when o is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19\/((-6080)\/(-220))*16?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that v**2\/5 + 105067*v\/5 + 105066\/5 = 0.\nAnswer: -105066, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*b - 6*b + 2*b - b.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 AM and 6:50 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10*o**6*p**2 + 257*o**3 - 2*o**2*p**2 - 1370*o**2 + 2*o*p**2 + 2*p**2 wrt o?\nAnswer: -1200*o**3*p**2 + 1542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -10?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 5*b - 12 - 1 = 0, 2*p + 5*b = -11. Solve 5*c - r - 30 = 0, -p*c + 5*r = -6*c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101100010101 (base 2) in base 13?\nAnswer: -13a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, -10, -43, -100, -187, -310, -475?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 10*p**2 + 364*p + 36. Let d(j) = 2*j**2 + 65*j + 7. Let i(l) = -11*d(l) + 2*k(l). Let h(v) = -4*v**2 + 26*v - 11. Give -3*h(s) + 7*i(s).\nAnswer: -2*s**2 + 13*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 952.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2329, -2166, -1939, -1684, -1437, -1234?\nAnswer: -1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/440*-11)\/1.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 5  (b) -2  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 214513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1285492 and 85904.\nAnswer: 3068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 0. What is the units digit of (1*-3 - h)*-4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 82 - 37. Let y = m - 46.97. Let s = y - 0.03. Which is smaller: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 4 = -3*s. Suppose 152 = 4*n - 4*t, -s*n + 70 = -2*n + 4*t. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 3, s: 4, y: 1, v: 1, r: 7, m: 2}. What is prob of picking 1 y, 2 m, and 1 v?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15371 + 15391. What is the remainder when 3212 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -2*s**2 - 48*s + 48. Give w(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -978.60482 to the nearest ten.\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 19*a - 15. Suppose -32*p + 33*p = 5. Let z(b) = -18*b + 14. Let q(v) = p*z(v) + 4*f(v). Find the first derivative of q(n) wrt n.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3368 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 731895.6l?\nAnswer: 731895600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -24553.49 - -24408. What is k rounded to 0 dps?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-1) - (39 - 40). Suppose k + 2*g - 282 = 0, 3*k + p*g + 2*g - 856 = 0. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -5*p - 3*t, -5*t = -0*t - 2*t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 6 from 3697.\nAnswer: 3691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6.520533 + -6.52. What is l rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 738908 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together -183830.43 and 0.2.\nAnswer: -183830.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 11*i - 28*i + 8*i + 6*i. Let j(h) = -13*h**2. What is r(j(s))?\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 22 + 6)*(-k + 0*k - k)*(-3*k**2 - k**3 + 3*k**2) in the form p*k**4 + m + h*k**3 + j*k**2 + r*k and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16 - 3. Is a at least 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 9) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*q**2 - 4*q + 24*q + 6*q**4 - q**5 - 6*q**2 - 135*q**3 + 120*q**3 + 2*q**4 = 0. Calculate q.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28.619 - 28.819. Let j(s) = s - 6. Let m be j(7). Let n = 3\/2 - m. Which is the closest to 1?  (a) n  (b) 1  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -239 - -240. Which is the third biggest value?  (a) 3\/4  (b) h  (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6*(0 - (4 - 894)).\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -603067 + 606705 = -214*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29.95292 micrometers to centimeters.\nAnswer: 0.002995292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 76 - -15*(51 + -50)*(-4)\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 - 2*n**2 - n - 2. Let m(b) = 31*b**3 - 10*b**2 - 6*b - 10. Calculate 2*m(q) - 10*t(q).\nAnswer: 52*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 7543153 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, c: 5, y: 1, q: 2, x: 3}. Give prob of sequence yxnx.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8377 + 50261\/6. What is the nearest to -0.2 in -2, 0.09, g, 19\/10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*w - 3470 = 7*q - 3332, -w = -2*q - 38 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(125) + -2 + -3)**2 - (4 + sqrt(125) + -2 + sqrt(125)))*-3 + 4.\nAnswer: -440 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 2*f**2 + 49*f - 3645. Give a(-56).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*f - 3*f. Suppose -4*g + f = 16, 3*z + g - 456 = 0. Let h be 4\/18 - (-731)\/z. Solve 37 = -h*y - 4*a, 0 = -2*y - 0*a + 5*a + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 3*p - 142. Give q(28).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -234 - -242. Suppose -2*u - 3*s = -39848, -6*u + t*u + 4*s - 39850 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1181896 divided by -1882.\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101011100 - 0?\nAnswer: -101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*y**2 + 149*y\/5 + 1\/5 = 0 for y.\nAnswer: -1\/150, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 122380 and 219211.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 48\/73  (b) -0.5  (c) 14  (d) 105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97 is divided by (-3)\/((-3)\/(-11))*-3?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 106, 242, 378, 514, 650?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 1650 divide 1693335967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**3\/3 + 791*w**2\/3 - 17765*w\/3 + 32791.\nAnswer: (w - 11)**2*(w + 813)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9.5 + 9.2. Which is the second biggest value?  (a) 0.4  (b) g  (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 530*u + 5*a = 543*u - 38, -4*u - 15*a - 71 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 222 or 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-1\/2))**(-2\/49)*z**(-1\/2)*z**(3\/8)\/z*(z**(7\/5)*z*z**(-2\/3))\/((z*z**(1\/2)\/z)\/z)**(-30) assuming z is positive.\nAnswer: z**(-84983\/5880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 464?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-34)\/(-1) + (-3572)\/76?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 5 = 3. Suppose 3*q = -3 + 18. Let a = x + q. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand p**3 - p**3 + p**5 - p**5 + 2*p**5 + 0*p**5 + (p - p + 2*p**3)*(0*p + 0*p + 2*p**2) + p**5 - 2*p**5 + 3*p**5 + 133*p**5 - 8735*p**4 + 8735*p**4.\nAnswer: 141*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.021 times 211\nAnswer: -4.431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100*z**3 + 2959*z + z**2 - 2959*z.\nAnswer: -100*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(121)*3)\/(sqrt(880)\/sqrt(5)))**2.\nAnswer: 891\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (4 + -2)\/(-2 + 55208\/27600)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 53 + -10. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 164436 and 24140?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.14 and -677921.\nAnswer: -94908.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + -105b399?\nAnswer: -105b3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 13*y. Let k be x(1). Let g = k - 6. Suppose -3*w + g*w = 52. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1422*f**3*m**3*n**3 + 36*f**3*m**3*n - 116*f**3*m**2*n**2 + 2*f**3*n**2 - 2*f**2*m*n**3 - 7*f*m**2*n + 8*m wrt m.\nAnswer: -8532*f**3*n**3 + 216*f**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -373127.28812549981 - 42.61288990019. Let b = n - -373170. Let h = b - 0.099. Round h to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 6*f = 84. Solve 20*t**2 - 64 + f*t**2 - 16*t - 49*t**2 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**3 + a + 4. What is the lowest common multiple of k(0) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 37.5 - 26. Let y = -90.5 + s. Let c = y - -77. Put 4\/9, c, 1, 4 in increasing order.\nAnswer: c, 4\/9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*h + 7*p - 10828 = -2*p - 10759, 3*h - 3*p = -24 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*c + 21057 - 49893 - 58472 = 0. Calculate the greatest common divisor of c and 460.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggppgppgppptpp. Give prob of sequence ppgt.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5239 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.2 and -15.1473.\nAnswer: -15.3473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 113*s - 117. Calculate j(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*v + 1901 - 138 = 0. Suppose v*i + 28 = 110. Factor 2\/7*w**4 + 2\/7*w**3 + 0 - 2\/7*w - 2\/7*w**i.\nAnswer: 2*w*(w - 1)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1928554*t + 9*t**2 + 1928555*t - 12*t**2 + 2848*t**3 + 3*t**2.\nAnswer: 2848*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 543 = 5*b - 4*u, 4*b - 2*b - u - 216 = 0. Suppose -115*p = -b*p - 32. Calculate the greatest common divisor of p and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12363 is divided by 12348.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*f**4 + f**3 - f - 2 + 3*f**3 - 8*f**2 - 2*f**2 + 20*f**4 to the form u*f**4 + x*f**2 + g*f**3 + h*f + c and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -2*d + 1. Let k be i(-1). Suppose -k*t = -o - 20, 1 = -3*t - 4*o - 4. What is the third derivative of -2*v**2 + v**5 + v**5 - v**t wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 18.49527 microseconds?\nAnswer: 0.000000000214065625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 3*i**2 - 123*i - 46. Give b(41).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the second derivative of 3*b**5\/5 - 7*b**4\/6 - 8*b. What is the third derivative of k(p) wrt p?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9362 - -9361.9999994463. What is x rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1861178993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -36162*a**3*v - 5943*a**3 + v with respect to v.\nAnswer: -36162*a**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 259983037?\nAnswer: 61, 271, 15727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 70377375 a multiple of 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/19, -2.6, -0.3, -0.5?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of h**7\/315 - h**6\/54 + 2*h**5\/45 - h**4\/18 + h**3\/27 - 3*h**2\/2 + 2*h. Let m(n) be the first derivative of w(n). Factor m(d).\nAnswer: 2*(d - 1)**3*(3*d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/3)\/w)**(2\/77) assuming w is positive.\nAnswer: w**(-8\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q + 8. Let r be s(-12). Let u be ((-105)\/9)\/(-7) - 52\/(-156). Put r, u, -1, 8 in descending order.\nAnswer: 8, u, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-eight fifths of a litre in millilitres?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0982617 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 + (-2 - (1 + -20)). Suppose w = -6*x + x. Let h = 94.3 + -94. Sort x, h, -1\/8 in ascending order.\nAnswer: x, -1\/8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -509300 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1020202 - -1561923. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 700499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of 3*r**5\/80 + 583*r**4\/24 + 28421*r**3\/6 + 9409*r**2 - 1088*r. Suppose v(c) = 0. Calculate c.\nAnswer: -194, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1593284?\nAnswer: 2, 7, 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 0, 4, 10, 18, 28, 40, 54?\n\"Answer: y**2 + y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the second derivative of -k**7\/168 - k**6\/30 + 3*k**5\/16 + 7*k**4\/24 - 7*k**3\/6 - 3*k**2 + 247*k. Suppose l(m) = 0. What is m?\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from {n: 2, o: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 343 - a - 109 - 127 - 107. Suppose -3*u = w + 7, 3*u - w = -3 - 2. Let b = u + 6. Give i(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**2 + 18*a - 142. Suppose -4*i = -x - 25, -3*i + x = 2*x - 17. Let m be u(i). Solve n - m*n = 0, 20 = 5*k - 3*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 223717152.9 to the nearest ten thousand.\nAnswer: 223720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by -6724464?\nAnswer: -1\/840558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-3)\/6*52*-1)*-12?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1224 divided by 6.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5 and 1960536.\nAnswer: 9802680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -5*b**2. Let j(h) = -499*h + 1. Determine j(r(z)).\nAnswer: 2495*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23412322?\nAnswer: 2, 11706161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-18.07.\nAnswer: -18.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of 227173807 and -0.2.\nAnswer: 227173806.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 - 4*b**2 - 6*b - 6. Give g(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sum -74 and 2.1.\nAnswer: -71.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 25*t + 29*t = -40 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 5*s**2 - 3*s + 2. Let k(z) = 7*z**3 - 2*z**2 + 2*z. Let t be k(1). Suppose 2*y + 6*u - 4 = 0, 5*u + 5 = -y + t. What is m(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 4 + 4 + (sqrt(363) + -2)**2 + -5*sqrt(363) + 4 + 3.\nAnswer: -99*sqrt(3) + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-3*sqrt(2057) + (sqrt(2057) - (sqrt(2057) + 0 - sqrt(2057))) + -3)*3.\nAnswer: -9 + 330*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/6927792 and -61\/76?\nAnswer: 131628048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - a = -25. Suppose a*m - 100 = -9*o + 4*o, 0 = 5*o + 3*m - 100. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (22\/(-88))\/((-1)\/48)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 226 is divided by 73.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(40)*-1)\/sqrt(72) + 3)**2.\nAnswer: -2*sqrt(5) + 86\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z**5 - 24*z**4 + 108*z**3 - 224*z**2 + 210*z - 72 = 0 for z.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 249 is divided by 137.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/(-19 + 61) + 296\/(-672))*-4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 7*f - 2*f + 5, -3*c = 4*f + 5. What is the third smallest value in 2, 2\/7, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(9) + (sqrt(9) - sqrt(108)\/(sqrt(12) + sqrt(96)\/sqrt(8) + sqrt(12))))\/(sqrt(36)\/(sqrt(12) - -3*sqrt(12) - sqrt(12))) + -2.\nAnswer: -5 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 650 divided by 130\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 403832 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -2*k - 5*k - 1 - 3*k**2 - 8 + 2*k**2. Let z be f(-4). Put 1\/4, -8, z, 4\/7 in decreasing order.\nAnswer: z, 4\/7, 1\/4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 2*m**3 - 18*m**2 - 19*m + 3. Let h be x(10). Suppose h*p - 7033 = 3185. Does 57 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -199, -5, 38, -13, -3.\nAnswer: -199, -13, -5, -3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from auuassssas. What is prob of sequence aa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o\/(o\/(o*o**(-2)))))**40\/(o\/(o\/((((o**(-4\/7)\/o)\/o)\/o*o*o)\/o))*o\/(o\/(o*o**(3\/16)))))**(1\/29) assuming o is positive.\nAnswer: o**(4635\/3248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 5937*b - 7. Let c(q) = 13*q. Determine u(c(f)).\nAnswer: 77181*f - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -3*v**2 + 43*v + 138. Let s be m(-3). Suppose 2*j - 21 - 43 = 0. What is the remainder when ((-1752)\/16 - -7)*s\/15 is divided by j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 19*o**2 - 13 - 2*o**2.\nAnswer: 17*o**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27 - 27.1. Which is the second smallest value?  (a) -4  (b) 0.1  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6772 is divided by 2256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7.7 - 248119679.\nAnswer: -248119686.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 76 and 41239728?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.002 or 69392?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 + 556.905.\nAnswer: 558.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 47467279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74*s = -70*s + 36. Let w(j) = -7*j - 47. What is the remainder when 61 is divided by w(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 157 - 510\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/9796 and 97\/172536.\nAnswer: 5348616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -72 - -120. Let j be (-7)\/(28\/d) - -3. Let u(s) = 15*s**3 - 9*s**2 - 9*s. Let h(z) = 8*z**3 - 5*z**2 - 5*z. What is j*h(o) + 5*u(o)?\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 113 = 148 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -0 + 8. Suppose q = -v, 3*p - v - 10 - 160 = 0. Let f = 19 + 0. What is the remainder when p is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 4365, 4362, 4357, 4350, 4341, 4330?\n\"Answer: -i**2 + 4366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the second derivative of -589*z**3 - 2239*z**2 - 325*z - 5. What is the derivative of r(o) wrt o?\nAnswer: -3534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-10))\/((-312)\/(-240))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 21.07\nAnswer: -42.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) -1\/39  (c) 4  (d) 137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 404 divided by -101\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -r - 1, s - 6*s = 5*r - 45. Let z(c) be the second derivative of -c**5\/20 - c**4\/3 - 6*c. Let v be z(-4). Sort r, v, -1 in descending order.\nAnswer: r, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 1, p: 1, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1709 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 198184?\nAnswer: 2, 7, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(252) + -5*(sqrt(252) - (sqrt(252) + -1)) + 0 + sqrt(252) + sqrt(252) + 3)**2 + -1)*-6*6*3.\nAnswer: -981396 + 31104*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -252688, -252697, -252706?\n\"Answer: -9*h - 252679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1290*c**4 + c**2 - 4*c - 138212 wrt c.\nAnswer: 5160*c**3 + 2*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -6\/85 and 63\/145?\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**2 + 6306470 - 6306470.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - 2 - 2. Let y be (a + -14)*1\/(-3). Suppose s + 16 = y*s. Solve -s - 1 = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -4  (b) 0.4  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (2628\/648)\/(3\/2 - 2) and ((-21)\/(-2))\/((-11)\/4).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, r: 5, x: 2}. Give prob of picking 3 r and 1 x.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.397294 centuries to millennia.\nAnswer: 0.6397294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 + 0 + 0 + 4 + 4*g.\nAnswer: 4*g + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of 0*f**2 - 1\/720*f**6 + f + 1\/6*f**4 - 1\/30*f**5 + 0 + 0*f**3. Let r(i) be the third derivative of g(i). What is r(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 104 and 46748?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -4, 0, 2, -5, 59, 37 in descending order.\nAnswer: 59, 37, 2, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from vvvvvccvvccvc.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -171.5 or -14\/15?\nAnswer: -171.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - -70. Suppose 0 = -4*z + 18 + c. Let r = 44 - z. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-154)\/(-11)*(-3)\/((-6)\/23)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 63022386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 16*n**2. Let f(x) = -13 - 12 + 17 + 12 - 10*x. Calculate f(b(v)).\nAnswer: -160*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 6*g + 16. Let t be x(-2). Suppose -t*j - 6*j = -150. Solve q + j = 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**15\/((w*w\/(w*w**(-18))*w)\/w))\/(w**23\/(w*w*w**(-22\/3))) assuming w is positive.\nAnswer: w**(-97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 0*o + 5*y + 28 = 0, 0 = 2*o - 3*y - 21. Let p(u) = 25*u**2 - u - 2. Let i be p(o). Round i to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -60 + 90. Suppose 3*z = -k + 4, -4*z = -k + 4*k - 22. Suppose -k = -2*h - 5*x, 6*h - 2*h - 4*x = 48. What is the greatest common factor of b and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208) - (sqrt(208) + 0 + (sqrt(208) - (1 + sqrt(208)))))*1 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1019, -4099, -9237, -16433?\nAnswer: -25687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 679.9518ug to tonnes.\nAnswer: 0.0000000006799518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -20 and -76.\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 90 and 111096.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.474681 litres?\nAnswer: 474.681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8833\/290 - -6\/145. Let m be -1 + (-11 - -2)\/(-3). Calculate the common denominator of 2\/((-32)\/(-59)) + m and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-280)\/308*1287\/1989\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l - 1 + 1)*(4*l - 4*l + l + (-1 - 3 + 6)*(-4*l + 3*l + 2*l) + 274*l - 29811 + 29811 - 3 + 3 + l + (l + l - 4*l)*(-2 + 0 + 3) + l - 3*l + 0*l).\nAnswer: -548*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 191237088.2 rounded to the nearest one million?\nAnswer: 191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooy when three letters picked without replacement from {a: 3, h: 4, y: 5, o: 5, n: 1}.\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 494987?\nAnswer: 494987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*a + a + 51*a**2 - 63*a**2 + (-2*a**2 - a**2 + 2*a**2)*(2 + 2 - 6) + a**2 + a**2 + a**2 + 2*a**2 + 3 - 3.\nAnswer: -5*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1862\/4601 - 17\/43. Let g = 325\/428 - j. Let p be 4\/10*(7 - 2). Which is the nearest to 1?  (a) g  (b) -0.2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 60 = 2*q, 3*q - f = 2*f + 90. Let p be ((-12)\/(-5))\/(9\/q). Let i = 4 - p. Put 1, 0.4, i in decreasing order.\nAnswer: 1, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q. Let x(r) = 714*r. Give x(i(a)).\nAnswer: 714*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-5911)\/1542)\/((-4)\/(-12)))\/(3\/(-18)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z**3 - 2*z**2 - 4. Let p(c) = -19*c + 6. Let j be p(9). Let v be (-4)\/(-30) - (-517)\/j. What are the prime factors of q(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 68.6 - 77. Let y = l + 8. Let i be -6 - (9 - (-500)\/(-30)). Which is the closest to -1?  (a) 1\/4  (b) i  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 - 4*o. Let r be b(-4). Let y(u) = u - 7. Let h be y(8). Let x = h - 0. Are x and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 + 2*r**2 + 6*r**2 - 2*r + 4*r - 3. Let n be q(-3). Suppose n = 2*v + v. What is the remainder when v is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (288\/(-108)*(-6)\/8)\/((-64)\/(-12))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**3 + 4*o + 2. Let m = -44 + 44. Let f be p(m). Solve f + 0 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 621 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 18.744 times -0.22\nAnswer: -4.12368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -253  (b) 0.07  (c) 10  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 - 6*h**2 + 2*h + 15. Let v be l(-6). Suppose 0 = 4*a - v*n - 2, -8 = 4*a + 2*n - 20. Solve a*r + 6 = 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -496 (base 11) in base 15?\nAnswer: -294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**3\/n)**24)**(2\/5) assuming n is positive.\nAnswer: n**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -7, 0.6, -6, 9, -5.36?\nAnswer: -5.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:34 PM and 8:37 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 - 7. Let j be 752\/(-18) + 5*g\/315. Let k = j + 60. What is the remainder when k is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*b + b - 3*b)*(-9 + 4 + 7)*(1 + 2 + 1) to c + t*b and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k**18*k)*k**(-26)*k**(-29)\/(k\/(k\/(k\/k**(2\/29)*k))*k))**(-2\/13) assuming k is positive.\nAnswer: k**(4404\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-33)\/11*12\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, i: 2, h: 1, f: 1, d: 1, z: 3}. Give prob of sequence ihqd.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - 10032?\nAnswer: -10030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2 - (1 - 92\/32))*-1. Put 3, 6, 0.5, b in descending order.\nAnswer: 6, 3, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:11 AM and 9:33 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1375635101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, s: 4, o: 4}. What is prob of sequence vss?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1163825471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2375 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 100820143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 14*i**4 - 5901*i**3 - 3*i + 2038946 wrt i?\nAnswer: 56*i**3 - 17703*i**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - 188?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -2*x**3 - 12. Let z(g) = 2*g**3 - 141*g**2 + 5859. Let w(a) = -4*s(a) + z(a). Differentiate w(c) wrt c.\nAnswer: 30*c**2 - 282*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -417273 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-5 - (5 - 5))*(-1 - 0). Let b(j) = 8*j**2 - 4*j - 4. Let s(i) = 9*i**2 - 5*i - 5. Let n(w) = p*b(w) - 4*s(w). Let t(u) = -3*u. Give n(t(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -45085, -45290, -45493, -45694, -45893, -46090?\n\"Answer: v**2 - 208*v - 44878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**3 - 2*d**2 + 2. Suppose 0 = -y - 3*y + 12. Let m be u(y). Factor m*q + 4*q - 10 - 12*q**2 + 3*q**3 + 4.\nAnswer: 3*(q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = -103*j + 99*j - 92, 2*c = 36*j - 112 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -672, -633, -558, -441, -276?\n\"Answer: w**3 + 12*w**2 - 4*w - 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 868 = s - 853, 20 = -2*s + 5*m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w - 5. Let u be x(7). Suppose 0 = -2*d - d + u*f + 73, 2*f - 77 = -3*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 + -5. Suppose 3*x = d*x. Let y(i) = -i**3 - i + 10. What is the units digit of y(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 1 + 4 - 5 - 15*o + 12. Calculate the remainder when u(-3) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 - 12. Solve 0 = z*n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 378 and 105.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j + 23. Let z be b(7). What is the highest common divisor of 24 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 3*x - 20824 = 2004, 0 = 2*v - 4*x - 22824. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8 + 5*a**3 - 8 - 2*a + 2*a - 2*a**3 + (-3*a**3 + 2*a**3 + 2*a**3)*(3 - 3 + 1).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -101000111110 (base 2) to base 9\nAnswer: -3533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -385170 + 24?\nAnswer: -385146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 1 + 4 + j + 2*j - 8. Let m be q(1). Find the common denominator of 23\/10 and -1 - (m + (-14)\/16).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 5*a - 5 = -33, a = 4. Suppose g + 4 = -3*r, -m*r - 15 = -3*r. Suppose 0 = -g*h - 8000 + 21535. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 18524.\nAnswer: 18524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -213008 times 154.1\nAnswer: -32824532.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, 0.4, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(2\/13)*o)\/(o**4\/o*o))\/((o\/o**46)\/((o*o**(32\/7))\/o)) assuming o is positive.\nAnswer: o**(4252\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 3*d**2. Let h(j) be the second derivative of 0*j**2 + 0*j**3 + 11*j + 0 + 2\/3*j**4. Determine i(h(z)).\nAnswer: 192*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 2*g**2 - 4*g**2 - 1 - g**2 - g**3 - 4*g**2 - 8*g. What is the tens digit of o(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {q: 1, h: 4, x: 4, j: 4, m: 4, l: 3}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w. Let g(i) be the first derivative of 4*i**2 + 2*i - 15. Give v(g(h)).\nAnswer: 8*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1351 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 3*c + 24, 15*c + 25 = 10*c. Differentiate 14*s**3 + 51 + 8*s**l + s**2 - 2*s**3 wrt s.\nAnswer: 60*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -7\/2, -25\/6, -0.037, 0, -89?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -c + 19, -2*q + 27 + 10 = -5*c. Let v = -2 + q. What is the third derivative of 0*i**5 + v*i**2 - 8*i**2 - 3*i**5 wrt i?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 - w. Let x be 7 + (-10)\/((-70)\/(-21)). Let f(a) = -24*a + 18. Let t(u) = -11*u + 8. Let y(o) = x*f(o) - 9*t(o). Calculate k(y(p)).\nAnswer: -9*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 143267097.\nAnswer: 3, 47755699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 145.06 * -0.14\nAnswer: -20.3084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4*k = 0. Solve 4*v = -4 - k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -499?  (a) -0.1  (b) 4  (c) 0.5  (d) -71\/4  (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*b + s + 16409 - 16407, -4*b + 63 - 11 = -2*s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -1, 16256816 in descending order.\nAnswer: 16256816, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 23984 (base 11) to base 8\nAnswer: 103230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28954810 is divided by 51705.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-21) + (-30)\/(-105)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**3 + 2*w - 2*w)*(-2*w - 2*w + w) + (4*w - 4*w + 2*w)*(-w**3 + 4*w**3 - 4*w**3)*(1 + 1 + 0).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.937377 centuries in millennia?\nAnswer: 0.5937377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 5, 4\/9, 1\/4 in decreasing order.\nAnswer: 5, 4\/9, 1\/4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 952302941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17 and 14569.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m - 1. Let p be y(-3). Let a be -2 - (-1 + 0) - p. What is the units digit of 0 + -10*(-3)\/a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*(-5)\/((-25375)\/(-140)).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/236 in 27, 0.3, -3\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*j**4 + 12 - 12)*(-13 + 13 + 5*j) + 2*j**5 - 3*j**5 - 5*j**5.\nAnswer: 94*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 - 107*h + 104*h - 22*h**2 + 5 in the form b*h**2 + i + l*h and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 + -10)*(-6 + 5). Let q(v) = v**3 - 3*v**2 - 3*v + 12. Is q(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -807290 minus 151322593?\nAnswer: -152129883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 97390*b + 3116483. Determine y(-32).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -112100100 (base 3) to base 5\nAnswer: -313313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(4*3*5*(sqrt(605) + 0)*5)**2 + 5.\nAnswer: -217799995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 400902 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16 + 9. Let s = 64\/9 + v. Which is the closest to 2\/7?  (a) -1\/10  (b) s  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 153*l - 193 - 153*l + 2818*l**2 + 195 as o*l + f*l**2 + c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zj when two letters picked without replacement from zjzy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 38*w**3 + 19*w**2 - 38*w + 35. Let r(t) = -12*t**3 - 6*t**2 + 12*t - 11. Give 4*o(b) + 13*r(b).\nAnswer: -4*b**3 - 2*b**2 + 4*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - x = 4*m + 56, -3*m + 5*x = 42. What is the remainder when 231\/m*-4 + 1*-3 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17)\/(136\/(-32))*1\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 15 = -l - 2*l, -4*h - 15 = -3*l. Suppose h = 8*i - 10*i + 68. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 2*s + 10491 = 10482, 4*s - 10 = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 21  (b) -655\/4  (c) 3  (d) 2\/13  (e) -3  (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1083275129*x - 1082592245.\nAnswer: 1083275129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, -29, -40, -45, -38?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes after 8:42 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 16 = -2*g, w = 63*g - 68*g + 47. Suppose -2*d + 5*y + 1 = 0, 4*d - 61*y = -58*y + g. Factor -3\/2*n**d + 7\/2*n**2 + 0 - 2*n.\nAnswer: -n*(n - 1)*(3*n - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 180 - 174. Sort k, 0.5, 0.4 in increasing order.\nAnswer: 0.4, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7 + 5*n**2 - 7 + 12 + (1 - 1 + n)*(8*n + 5*n - 5*n).\nAnswer: 13*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 - 6*j + 7. Let v be n(6). Let r(f) = -2 + 1 - 5 + 2*f. Calculate the smallest common multiple of 22 and r(v).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.19 in 22, -2\/5, -8\/13, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/8)\/(99\/(-72))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 32\/5  (b) 4\/7  (c) 3  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 26*m**2 + 38*m + 5. Let i = -244 - -252. Is p(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10.3 + -10. Let i = -12.5 - -5.2. Let o = i + 2.3. What is the nearest to 2 in o, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.11?  (a) 2\/9  (b) 0.5  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, l: 9}. Give prob of picking 1 l and 1 f.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*s**4 + s**4 - 5 - 9*s**4)*(-5 - 3 + 2) + 2*s**4 - 2 + 2.\nAnswer: 14*s**4 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - 0. Let h be p*-2*2\/4. Suppose -g - h = -8. Solve 4*j - 5*z - 8 = 8, 22 = -2*j - g*z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1340, 13973, 35038, 64541, 102488, 148885?\n\"Answer: y**3 + 4210*y**2 - 4*y - 2867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of -s**4\/24 + 2*s**3\/3 + 2*s**2 + 5. Let a(h) = -h**3 + 4*h**2 + 5*h + 3. Let r be a(6). Let f = 39 + r. Give z(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/336*-21)\/(6\/(-8)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*d = 15*d - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1824911\/6125376 - 500\/1569. What is the common denominator of d and -125\/48?\nAnswer: 11712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than -468\/1903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.02 and -2720994.\nAnswer: -54419.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of -69*v**7\/7 + 29*v**3\/3 + v + 35. What is the third derivative of p(r) wrt r?\nAnswer: -8280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 5, 0.3, 1.8, 17\/6, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02378 to 3 dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -30775 - -31771. Calculate the greatest common divisor of z and 2241.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1031100 (base 4) to base 8.\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 41764557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (150\/(-10))\/15*(-1)\/2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -476, -5 in decreasing order.\nAnswer: -2, -5, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/21 - (-2 + (-15)\/7). What is the closest to -1 in 1\/4, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 120 - 112 - (0 + -4) - 31.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 125*208*(-2 - -802). Suppose -i - 3*i = p. Round i to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3*(-12)\/(-6) - -639. List the prime factors of 80\/(-20) - y\/(-1).\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4695 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -132587505 - 5\nAnswer: -132587510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 3, g: 1, w: 5, j: 8, n: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -184*u**2 + 112*u - 113. Determine a(1).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 621.6201ng to kilograms.\nAnswer: 0.0000000006216201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 165 and 87987185?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + 7. Let r be 12\/w*98\/189. Let k(c) = c**2 + 4*c - 5. Let a be k(-5). Is a bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s. Let q be z(-3). Let x(h) = 25*h**q - 6*h**2 - 32*h**3 + 5*h**2 - 36*h**3. Let f be x(-1). Calculate the highest common factor of f and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-9))\/((-4)\/(-12))*(-84)\/(-63).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*p**3 - 74*p**3 - 5*p**2 - 6*p**2 + 180*p**3.\nAnswer: 34*p**3 - 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from cpcccpaaccpccicapiia?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 AM and 2:50 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 61*a - 56*a - 225. Solve 204 = -a*l + 11*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-470)\/320)\/((-356)\/11392)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 - 4*c**2 + 6*c + 7. Let y be u(-5). Let g(z) = 0 + 3*z**y + 0 + 0*z**2. Let h(t) = 3*t**2 + 2*t**2 - 4*t**2. Determine h(g(l)).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 795227?\nAnswer: 311, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -1  (b) 26962  (c) 0.5  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times 0.037?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000359991 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2848, -32, 5 in descending order.\nAnswer: 5, 1, -32, -2848","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 3609 divided by -1203.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.1 - -2.4. Put y, -1, 7\/6 in descending order.\nAnswer: 7\/6, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -23*p + 2*c + 1278, -6*p + 2*c + 13 = c - 318 for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/7?  (a) -1\/2  (b) 0.4  (c) 1\/5  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 2 n when four letters picked without replacement from xxxxxxnnxxx?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.4  (b) -1  (c) -0.7  (d) 68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.28 less than -0.063002?\nAnswer: -7.343002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u + 4*u - u)*(-u**2 + 6*u**2 - 3*u**2) + (-5*u**2 + 0*u**2 + 4*u**2)*(2*u + 2 - 2 + (3 - 3 + 2)*(4*u + u - 4*u) + 20 - 10*u - 20)*(6 + 0 + 5).\nAnswer: 68*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4 + 1 - ((-4939)\/990 + 2). Which is the biggest value?  (a) k  (b) -0.2  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 85062014868404 and -0.2.\nAnswer: 85062014868403.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 11*r**2 - 1. Calculate d(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/24 and 41\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2904622051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from wfqwwqafkwkwqwa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -7*g + 2*g - 15, -3*p = 0. Suppose 7*y = 2*y. Let s = -4 - y. Which is smaller: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of -7*c**6\/10 + c**4\/6 - 12*c. What is the third derivative of i(d) wrt d?\nAnswer: -504*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2*p**2 - p. Let x be o(1). Let n = x - -9. Let j(i) = -6*i - 9. Let s(l) = -5*l - 8. Calculate n*j(h) - 7*s(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*m + 16. Let t be 1\/(-5)*3*-5. Let p be (1\/t)\/(1\/5). What is the second biggest value in 4, m, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-18096)\/351)\/(-116) + (-10)\/63. Let j = -430\/63 - -64\/9. What is the closest to j in 0.1, -5, w, 0.08?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the first derivative of j**2\/2 - j - 3. Let t be o(5). Let s(i) = -4*i + 6*i**2 + t*i. Let f(g) = g**2. Give s(f(q)).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 5*z - 33 + 103 = 0, z - 54 = -5*w. Solve -2*i = 3*i - w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-141)\/(-9) - 3\/(-9). Solve 2*x = -d - 2, -4*x + 3*d - k = 2*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/5)\/((-36)\/(-180))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 36\/120 + (-6)\/20 + (-112)\/180 and 43\/12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r**2 + 4*r**2 + r**2)*(5*r**2 - 3*r**2 + 0*r**2) + r**4 + 3*r**4 - 5*r**4 + (-r - 2*r + 2*r)*(-r**3 + 0*r**3 - 2*r**3).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 - 16. Differentiate -6*i**2 - 3*i**2 - 13 - 5*i**2 + 3*i**r wrt i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14733670 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -40.2 - 84.2. Let q = n - -124.4001003. What is q rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 6*a**2. Let s(r) = -1440*r - 9. Give s(j(q)).\nAnswer: -8640*q**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -1745.7 to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2120528899 to the nearest integer?\nAnswer: 46049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*((-75)\/(-10))\/5*16\/(-3). Which is smaller: -28\/3 or j?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/4*(-4)\/(-2). Suppose 6*j - 4 = 5*j. Suppose 15 = j*c + i, -3*i = 5*c + 2*i - 15. Sort -2, c, b.\nAnswer: b, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 78 = -2. Suppose -184 = m - 9*m. Suppose 3*a + i + m = z, -4*z + 146 = a. What is the remainder when 108 is divided by z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/8*(2 + 2). Let s = 1 - g. Solve 2*c = 6*b - 2*b - 28, -c + 6 = s*b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the second derivative of 3*a**5\/10 + 5*a**4\/4 + 2*a**3 + 3*a**2\/2 - 11*a. What is x in g(x) = 0?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1178746903.\nAnswer: 1178746903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1672 and -68.\nAnswer: -113696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15 - 0. Let c be 9\/(-12) + w\/4. What is the greatest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 11:33 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fgf when three letters picked without replacement from gfgf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 214\/352 - (-84)\/1694*-11\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(102)\/(sqrt(726) - -2*sqrt(726) - sqrt(6)).\nAnswer: sqrt(17)\/32 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.49 + -0.01. Let x = g - -0.7. Let p = 0.22 - x. Round p to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5123 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3386 = -156*r + 2230 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1\/3442444?\nAnswer: 1\/3442444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(300) + 5)*-2*3 - (sqrt(300)*-3*3 + -6*(sqrt(300) - (-1 + sqrt(300)))))**2*6.\nAnswer: -60480*sqrt(3) + 797256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -89 or -0.34?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 279155 - 616845. Round h to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 735 divided by -7.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1437695?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.033534 rounded to four decimal places?\nAnswer: 0.0335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (188\/(-24))\/((-3)\/(-24)*-4*3\/9)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -19331, -38674, -58017, -77360, -96703, -116046?\n\"Answer: -19343*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28790, 57571, 86352, 115133?\nAnswer: 143914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 240393828 a multiple of 668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -328217 or -328234?\nAnswer: -328234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 906218565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1333300 (base 6) to base 13.\nAnswer: -27c78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 165\/(-99) - 222\/(-9) and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (-2 - (4 - (1 - -4))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 893 a factor of 2000717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 6 times -4\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 52\/(-14) + 8\/(-28). Let b = l + 4. Let s(v) = -6 + b*v - 3*v + v**2 + 0*v. What is s(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 5*c = 3*k - 84, -63 = -3*k - 4*c. What is the greatest common divisor of 147 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -2*i**5\/5 + 4*i**4\/5 + 22*i**3\/5 - 16*i**2\/5 - 8*i + 32\/5 = 0?\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(8) + sqrt(2))*-3 - sqrt(162)*2)**2 + 3 + (sqrt(32)*5)**2 + (sqrt(2) + -2)*5.\nAnswer: 5*sqrt(2) + 2251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = 10*f - 9*f + 4*m, 3*f + 5*m + 159 = 0. Let v be 2 - ((-584)\/f + -5). Which is bigger: v or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -56 - 1\/(-1)*1. Let y be 4\/(-10) + 7953\/f. Let j = y + 322. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -10*t**3 + 5*t**2 + 2*t + 4. Let d(n) = -11*n**3 + 4*n**2 + 3*n + 5. Give 2*d(s) - 3*i(s).\nAnswer: 8*s**3 - 7*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s**(-1)*s)*s**(-1\/22))\/(s**(-1\/5)*s*s**(-2\/9)*s*s) assuming s is positive.\nAnswer: s**(-2597\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*y + 19*y = 7036. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6, -1\/48, 0.2, -1\/2, 9?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17846 is divided by 17780.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 4 + 0)*(-4*u**3 + u**3 + 2*u**3) + 0*u**3 + 0*u**3 - 2*u**3)*(1 - 1 + u**2).\nAnswer: -3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/(-4))\/(2\/8). Suppose -33 - 54 = -p*f. Suppose 21 = 5*d - f. What is the smallest common multiple of 20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a meter in millimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 - 3 + 1)*(r + 3*r - 6*r) + 4*r + 2*r + 2*r)*(2*r + 3 - 7 + 0) to g*r**2 + o + x*r and give x.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 47 = -4*l + 48, -3*l + 3*m = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 - (-40 - (-13 - -12)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31, 47, 59, 67, 71, 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b + 1 - 1 + 4*b - 3*b - 2*b + (2*b + 0*b - 3*b)*(-4 - 4 + 0).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.36 + 0. Let q = -0.04 + m. Let p = 0.38 - 0.38. Which is the nearest to p?  (a) q  (b) -5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1297 - 2719. What is the hundreds digit of (2 - n - 5) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2328617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + 9 + (-26)\/(-16)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 8 = 2*z, 45*y - 3*z + 8*z = 44*y - 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17563477 is divided by 2402.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13, 4, 33, 80, 151?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.1  (b) -3  (c) -2\/15  (d) 4  (e) -11.6  (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 159 - 155. Find the third derivative of -25*f**2 + 76*f**6 - 7846*f**4 + 7846*f**c wrt f.\nAnswer: 9120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000002818 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 27610 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 - 7*r - 7. Let a be 17\/(-4) - 24\/32. Let l be k(a). Suppose 12 = l*q + 3. Solve 0*c = q*x + c + 11, -3*x + 5*c + 19 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of 0*m**5 + 16*m**2 + 0*m - 4*m**4 + 0*m**3 + 43 + 1\/3*m**6. Factor x(k).\nAnswer: 2*k*(k - 2)**2*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -265959*p**2 + 598095 wrt p?\nAnswer: -531918*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o + 213 + 2. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:50 AM and 11:12 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-261*g + 23731 + 23736 - 47468)*(-4 + 1 + 1)*(3*g + g - 3*g).\nAnswer: 522*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00004367376 rounded to 6 decimal places?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 353193468?\nAnswer: 2, 3, 29432789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (14\/10 + (-3 - -2))*5. Let x(w) = -7 + w + 10 - 3 + i*w**2. Suppose -11 = -3*u + 1, -2*g = 2*u - 12. What is x(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - 4)\/(-1) - 5. Let u(v) = -11*v - 2. Let m be u(k). Suppose m = 5*c - 75. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 5. Calculate the smallest common multiple of (36\/10)\/((-5)\/(-25)) and 23 + -3*t\/12.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -6*a + a + 16, -a - 4*g + 20 = 0. Suppose z = 5*z + a. Let w be (1*-14 + z)*-1. Solve w - 5 = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 207741242?\nAnswer: 2, 59, 787, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-92*g + 47*g + 0*g)*(-g**4 - g**2 + g**2 + 2*g**3 - 1).\nAnswer: 45*g**5 - 90*g**4 + 45*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -14 + -2a?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3228361000 to the nearest integer?\nAnswer: 56819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 99, 90, 81?\n\"Answer: -9*m + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the second derivative of -40*i + 0 + 0*i**4 + 9\/10*i**5 - 53\/2*i**2 + 1\/6*i**3. What is the first derivative of u(s) wrt s?\nAnswer: 54*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*z - 2*z + z)*((6*z - 4*z + 0*z)*(5*z**2 + 5*z**2 - 2*z**2) - z**3 - 3*z**3 + 3*z**3) in the form c*z**4 + h*z**3 + t*z**2 + p*z + a and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.07, -1\/14, 7, 0.04?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1606158 is divided by 142?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5969633 is divided by 937.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 11:25 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 23 - 11 = 0. Suppose -10*r - v = -6. Solve r = g - 3 + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -111*f = -14*f - 28*f + 552 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(9\/(-36)*16\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 153642, 307358, 461074, 614790, 768506?\n\"Answer: 153716*s - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least -611\/3113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of 0*q + q**2 + 8 - 2\/3*q**3. Factor l(z).\nAnswer: -2*z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -8, 11, 58, 145, 284?\n\"Answer: 2*o**3 + 2*o**2 - o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 628742\/801255 + -1\/12327. Let t = d - 5\/13. Let y be (3\/6)\/(1\/(-2)). Which is smaller: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 514971?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 6  (b) -2\/9495  (c) -0.01  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7.4 - -2.4. Suppose 2*n - 6 = 3*f + 7, -2*n = 4*f + 8. What is the third smallest value in -0.3, f, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 36 = -4*q. Suppose 0 = -3*z + 3*x + 30, 2*z = -3*z + 2*x + 47. Let v = q - z. Solve w = 2*w - v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1141 or -1089?\nAnswer: -1141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 49*q - 24*q - 200*q to c + t*q and give t.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63626 = 144*d - 5062. Suppose 2*u + 12 = 4*r, -u + 6*r - 15 = r. Suppose -3*t = -4*x - 305 - 196, -3*t - 4*x + d = u. List the prime factors of t.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 7158*r - 7156*r = 6, 0 = -4*k - 4*r + 48 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**3 - 6*z**2 - 7*z + 3. Let r be k(7). Let d(n) be the second derivative of 1\/4*n**4 + 5*n + 0 + 1\/6*n**r + 0*n**2. Suppose d(y) = 0. What is y?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bn when two letters picked without replacement from {r: 5, o: 2, n: 1, b: 2, e: 1, k: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11880 + 11879.91. Which is the biggest value?  (a) 110  (b) n  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -400101312 (base 5) in base 10?\nAnswer: -1565832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -28.052 and 73.7647259?\nAnswer: 101.8167259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -58?  (a) 2  (b) -4  (c) 4  (d) 429  (e) 2\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.14 and -5804.83?\nAnswer: 812.6762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 226.30941 to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.016151 to three decimal places.\nAnswer: 8.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - 101311202331?\nAnswer: -101311202324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -13496, -13879, -14262, -14645, -15028, -15411?\n\"Answer: -383*b - 13113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 467099 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 2*b + 0*b + k + 2159 = 2202, 0 = -5*b + k - 45 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 5 = -7. Let p = -1 - q. What is the remainder when 3 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 - 12*w + 6. Calculate o(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*l = -1337 - 1012. What is the highest common factor of l and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + 4 - -1) + (-111 - -111)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 + 14*d**2 + 2. Let j be u(14). Solve -3*g - 4*n - 17 = 0, 5*g + 11 = -0*n + j*n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77299 to the power of 1\/2, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 56\/3 - 6\/9. Let p = b - 10. Solve 0*o = -4*o - p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 3*f = 9. Calculate the highest common factor of f and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -163 + 171. What is the nearest to -1 in h, 4\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 90 and 245?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u - 1. Let f be w(-3). Suppose 4*k + f = 2*k. Let m be (15\/3)\/(0 - k). Solve 4*c + 5*i = -6, 2*c = c + m*i + 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -68 + 68. Let o(u) be the second derivative of 2*u + 2\/5*u**5 + g + 1\/2*u**2 - 1\/4*u**4 - 2\/15*u**6 - 1\/3*u**3. Let o(k) = 0. What is k?\nAnswer: -1\/2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2001210202122 - -1202?\nAnswer: -2001210200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 138399 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6*1*361407\/477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63.917 rounded to 1 dp?\nAnswer: 63.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 2 = 4*s, v = -4*s - 2 - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/30080 and -13\/20.\nAnswer: 30080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 4111 divide 141023431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 6*x - 3*h - 488, -2*h + 508 = 4*x. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14954378371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 3 = -6. Suppose r*a + 19 = 34. Solve 0 = -j + 2 - a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6516 is divided by 309.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 72\/(-9) + 4 - -13 - -1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**2 - 31*n - 27. Let w be a(-30). Solve w*h - 3 = -0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 624 - -59. Is 29 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(2*(-5*sqrt(77)*-2 + sqrt(77) + sqrt(77))*-6)\/(((sqrt(1331) - (sqrt(1331) - sqrt(1331)*-1 - sqrt(1331) - sqrt(1331)))*1 + sqrt(1331))*-6).\nAnswer: 48*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 5, f: 7, y: 4, p: 2}. What is prob of picking 1 y and 1 b?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 645 + -268.6384\nAnswer: 376.3616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1452736793 - 1452736793 - 5*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 4*h**2 + 2*h - 2. Let j be p(-2). Let a = -682897\/27044 + 9\/6761. Find the common denominator of a and 4\/(-10) + j\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/8*2*4. Let g be y - 25*2\/(-18). Is g at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 287.4, -5, -582 in decreasing order.\nAnswer: 287.4, -5, -582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4 - 0)\/((-1)\/(-1)). Let i(n) be the second derivative of -n**5\/20 + n**4\/4 + n**3\/3 + 3*n**2\/2 + 976*n - 1. What is i(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.34 - -0.0129?\nAnswer: -2.3271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**2 - 5*d - 3. Give r(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 12 = 5*v, 2*v = -3*v - d - 4. Suppose -60 = -v*n - 3*n. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*x**4\/7 + 234*x**3\/7 + 864*x**2\/7 - 384*x\/7 = 0 for x.\nAnswer: -8, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.27 times 191?\nAnswer: -51.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7794843 to the power of 1\/2, to the nearest integer?\nAnswer: 2792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n. Let s(t) be the second derivative of 14*t**4\/3 + 18*t. What is s(g(w))?\nAnswer: 56*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 != -639\/263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 13 = 15, -1 = 2*x - 5*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k - 9. Let y be (-4)\/(3 - (-39)\/(-12)). Suppose w - 4 + 24 = 4*p, w = -5*p + y. Determine m(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 + 85776*r**2 - r - 84999*r**2 + 2*r in the form w*r + n + m*r**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 20?  (a) 144  (b) 0.3  (c) 0.5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f = -10*f + 284. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.10675574 + -22.10674274. Let j = 22.42 + -0.42. Let r = u + j. What is r rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 688 is divided by 651.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 5*h + 19. Let z be n(-11). Is -35 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 - 3*l**2 + 3. Let s(g) = -g**3 + g**2 - 1. Calculate -d(c) - 3*s(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2106 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the first derivative of 34*j**3\/3 - 5*j**2 - 75*j + 156. Is a(-4) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -116863*i**3 - 9*i**2 - 358223*i wrt i?\nAnswer: -701178*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 plus -0.541?\nAnswer: 15.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 7846 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/8 + (-95)\/20. Let v = 4.2 - 2.3. Let x = v - 1.9. What is the nearest to 3\/5 in z, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-m**2 - 4*m**2 + 3*m**2)*(-2 - 5 - 2) - 5*m**2 + 12*m - 12*m in the form z*m**2 + s*m + i and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/1666 >= 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*r - 2*t, 2*t + t = -4*r - 12. Suppose 4*g = -r*g + 12. Determine h so that 0*h + 0*h**2 + 0 - 2\/7*h**5 - 2\/7*h**g + 4\/7*h**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -229537*h**4 + 459067*h**4 + 2*h**2 + 3*h**3 - 229528*h**4 - 5*h + 40 to the form f*h**2 + p + g*h**4 + l*h + n*h**3 and give p.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 4, 304, 0.01, -1\/2, 201?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (54 - 49) + (-2 - ((-1 - 3) + -2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 5*n = -53, -z + 125 = -3*n + 84. What is the remainder when -15*(-160)\/72*(-3)\/(-2) is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + r = 2, -r + 0*r + 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -138458 - -28.1.\nAnswer: -138429.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -31 - -50. Does 9 divide w\/2 + (-12)\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -37 + 37. Suppose -3*d = 5*n - 21 - 78, p = -d - 2. What are the prime factors of (-72)\/n + 3 + (-902)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u be (12\/(-9))\/((-2)\/24). Suppose 3*c - 4 = -2*l - 0, 4*l = -2*c + u. Are c and -2 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-60)\/(-9) - (-1)\/3. Suppose 0 = o*r - r + r. Solve a + 2*x + 2 = r, 3*a - a - 3*x = 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -18*f + 47. Let r = -134 + 115. What are the prime factors of p(r)?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + 17 - 89. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8\/213 - -3677\/1491. Let k = -411\/175 + h. Let t be 0*(-1)\/(-6) - 1. Which is smaller: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*b + 32 - 107. Suppose -73 = -b*c - 28. Calculate the greatest common divisor of 441 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4312077, 4312072, 4312065, 4312056?\nAnswer: 4312045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 306608188 to the nearest integer?\nAnswer: 17510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes before 1:38 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 0, 1, 20, 5\/7, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r and 1 o when four letters picked without replacement from rizzrrbzrkzbozz.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-10)\/3*(-6)\/4. Suppose x*i - 131 = -21. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence giw when three letters picked without replacement from {z: 10, i: 3, w: 4, g: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -47*f + 44*f - 6*l, -6*f + 76 = 15*f - l - 116 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2b55 - -21296?\nAnswer: 1a341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 841111 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 831090*f**6 - 9241316*f**2 wrt f.\nAnswer: 99730800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Round -23937.58 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 3 - 31*k + 0.\nAnswer: -31*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 335\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -54*w**3 - 12*w + 29*w**3 + 28*w**3 - 1 as r + p*w**3 + h*w + a*w**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -218 = 2*n + 4*f - 1898, -3*f - 1680 = -2*n. Is 60 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z + 6. Let b(k) be the first derivative of k**3\/3 + 13*k**2\/2 - 9*k - 12. Let d(w) be the first derivative of b(w). Determine -6*d(n) + 13*i(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**4\/11 - 61*c**3\/11 + 260*c**2\/11.\nAnswer: -c**2*(c - 4)*(c + 65)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*x**3 + 8*x**3 - 11*x**3)*((-5*x - x + 5*x)*(-8 + 8 + 2*x) + 6*x - 6*x - 13*x**2).\nAnswer: -60*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (-6 - 2)) + (345 - 384).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -327753 less than 1720.5?\nAnswer: 329473.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17.092 - -17. Let p = o + 0.063. Let n = 0.02899972 + p. What is n rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5494.\nAnswer: 2, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 362*f - 112 = 334*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 130 and 95?\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:12 AM and 9:19 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11288 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 2*h + 5*j, 3*j + 5 = 3*h - 16. Calculate the least common multiple of h and (16\/6)\/(((-4)\/3)\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 - 163*i - 1095. What is h(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.771749 rounded to 2 decimal places?\nAnswer: 2.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 45157841\/350 + -129022. Calculate the common denominator of p and 59\/35.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 - 2)*(7*l - 8*l + 12*l) - 14*l + 23*l + 10*l + 34*l to the form v*l + h and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -25*j**2 - 4*j - 17. Let w(u) = 150*u**2 + 25*u + 110. Give 13*q(c) + 2*w(c).\nAnswer: -25*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -3 - 0, 3*c + 82 = -5*i. Let q = 35 + c. Let w(a) = -a**2 + 5*a + 2. Calculate w(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -18, -2, 1, 28, -1, 2060 in ascending order.\nAnswer: -18, -2, -1, 1, 5, 28, 2060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4 and 6.14763.\nAnswer: 10.14763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -28*v**4 - v**3 - 824*v**2 wrt v?\nAnswer: -672*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2 - 149*x + 307. Let r be h(2). Solve 4*j - 20 = r*i, -i - 12*j - 4 = -8*j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 16406 + 26a?\nAnswer: 16675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-12)\/(-9))\/((-14420)\/(-7203) + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109*m - 530 = 233 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k**3 - 5 + 5 + (3*k**2 - 1 + 1)*(-201 - 81*k + 201).\nAnswer: -244*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/(-20))\/((-238)\/(-136))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -5*t + 25, -3*d + 5*t - 2*t = 135. Let z = -87 - -46. Let l = z - d. What is the remainder when l is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 + -11. Suppose 0 = b - 5. What is the third derivative of 3*r**5 - 5*r**b + r**5 - 4*r**x wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5101 is divided by 74?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand i - i + i + (1 - 1 + 2*i)*(6 + 5 + 38) + i - 2*i + 3*i.\nAnswer: 101*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1360.7 - 1360.4. Which is the third smallest value?  (a) -5  (b) -10\/7  (c) 4  (d) -2\/13  (e) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (5 - (0 - -2)) + -4 + 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*y**4 + 4*y**4 + 238 - 238 + (-1 + 3*y + 1)*(2*y**3 + y**3 - 4*y**3) to n*y + j + a*y**4 + o*y**3 + l*y**2 and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46224680.\nAnswer: 2, 5, 1155617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 - 10*i + 4. Let b be d(-10). Let x be (18\/12)\/(2\/b). Factor -2\/9*n**4 - 2\/9 - 8\/9*n**x - 4\/3*n**2 - 8\/9*n.\nAnswer: -2*(n + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 105*u**2 + 283*u**2 + 13*u**2 in the form y + k*u + t*u**2 and give t.\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 38 - 33. Let v be 1\/(1 - (-12)\/(-9)). Let i = v - -5. Solve d = -i + s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oaj when three letters picked without replacement from jwoai?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 12098*j**2 - 354*j - 13. Is f(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 362 and 326532?\nAnswer: 59102292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 847047562?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 8*o + 68 = 0, -4*o + 2071 - 1092 = -c + 1010 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2218197 rounded to the nearest 1000?\nAnswer: 2218000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 13756 + 5538 = 4*q, 4*q - 3*f - 19299 = 0. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 37 + -60. Let c = -22 - w. Is c bigger than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 76 + 86. Suppose 0 = 5*q - 168 - t. Suppose -v + 323 = 4*l + 47, -l - v + q = 0. Is 35 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 4*f**2 + 41*f + 117. What is o(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-10) + (-1092)\/(-30). Let x be 70\/(-4)*w\/21. Does 5 divide 7\/((-21)\/x) - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - 13414221?\nAnswer: -13414221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 481477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j + 2. Let l(w) = 4*w - 1199. Give l(g) - 2*x(g).\nAnswer: 2*g - 1203","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -890 divided by 120875\nAnswer: -178\/24175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 42\/(-11) + -1 - 70\/(-14). Let y = 15.4 - 15.9. Let h = 12 + -8. What is the nearest to 5 in y, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + -7. Let l(n) = n**2 + 6*n + 1. Let v be l(f). Let t(i) be the third derivative of i**5\/60 + i**4\/8 + i**3\/3 - 5*i**2. Calculate t(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -2*o + 5*o + 0 - 7. Let z = 1 - -4. Determine i(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1634?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 8\/28*(-1421)\/348\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 320999 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h - 1. Suppose -9 = -4*p + 11. Let y be w(p). Solve y*b - 14 + 2 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.166?  (a) -0.5  (b) -4  (c) -36791\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 31161081 to the nearest integer?\nAnswer: 5582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1100) - (sqrt(1100)*1 - sqrt(1100))*-5 - sqrt(1100)) + 0 + sqrt(1100) + -4)**2*-2.\nAnswer: -2232 + 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1680, 1046, 408, -234, -880, -1530?\n\"Answer: -2*p**2 - 628*p + 2310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -17 (base 10) to base 9\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 AM and 8:01 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from {n: 6, o: 6, u: 4, t: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -9783, -10447, -11555, -13107, -15103, -17543, -20427?\n\"Answer: -222*z**2 + 2*z - 9563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 - 15. List the prime factors of (-64 + g)*(-2)\/4.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 5*v + 255, -v + 108 = 2*a + 3*v. Suppose -a = -4*r + 68. Let w(i) = -2*i - 102. What is the smallest common multiple of w(-52) and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 170954 is divided by 139?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -50579, -101163, -151751, -202343, -252939?\nAnswer: -303539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 less than -0.59?\nAnswer: -35.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.43706895 - 0.2770679. Let u = 37 - 37.16. Let x = u + d. Round x to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 - 7*a**2 - 2*a - 11. Let c be w(-7). Solve c*f + 0*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02897416 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -542, -2335, -5516, -10247, -16690?\nAnswer: -25007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 115, 116, 119, 124, 131, 140?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.907 + 0.007. Let i = x + 4.4. Let r = 3.9 - i. What is the second smallest value in -1\/4, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -6*y + 49. Let l = -16 + 21. Let w(p) = 4*p - 33. Let x(t) = l*v(t) + 8*w(t). What is the derivative of x(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 - (22 - 0\/1). Let y(t) = -t**3 + t**2 - 3*t - 1. Let d be y(3). Calculate the common denominator of s*((-10)\/d + 0) and 65\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 16726 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -2*b**2. Let p(n) = -19*n - 95*n**2 + 5*n - 76 + 14*n + 92*n**2. Give h(p(d)).\nAnswer: -18*d**4 - 912*d**2 - 11552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + 3504?\nAnswer: 3506","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) -1\/3  (c) -2\/19  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3c8a + -1?\nAnswer: 3c89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -118a710 (base 12) to base 13.\nAnswer: -9292a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -530574 divided by -8039.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00015433 to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -2, 4, -1 in decreasing order.\nAnswer: 7, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25705 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1\/5, -2, -5, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w = 2*y - 4*w - 160, -y - 5*w + 80 = 0. Suppose 3*i - y = -5*i. What is the remainder when 18 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 9*z**3 + 4*z**2 - 9*z - 18. What is d(-2)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 - -2. Let i be u\/(1 - -1) + -1. Solve i*z = -3*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24\/11*w**2 - 160\/11*w - 2\/11*w**4 + 0 + 24\/11*w**3 = 0. Calculate w.\nAnswer: -2, 0, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/87519 and 11\/23017497.\nAnswer: 23017497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15323 + -10407. Is 4916 equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (995 - 41821*r - 53539*r - 500 - 66664*r - 495)*(-4*r**2 - 2*r**2 + 5*r**2) in the form z*r + b*r**2 + w + m*r**3 and give m.\nAnswer: 162024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11231060 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -4*f + 32. Let w be 3\/2*(f - 0). Solve 2*q = s - 3*s - 2, 3*s - w = 3*q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 85*f - 165*f + 74*f + f - 4*f + 5*f + 2*f + 0 + 0 + (-5*f + 0*f + 3*f)*(-3 - 1 + 3) - 2*f + 1 - 1.\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at most 2464\/755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -11*2\/6*3. Let p be (-8682)\/(-15)*(-65)\/b. Let h = p - 3425. Calculate the common denominator of h and 7\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 100 smaller than 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.04 or 2\/3065?\nAnswer: 2\/3065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 89122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 + 7*v - 12. Is 2 a factor of z(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -524*n**2 + 71*n + 1 wrt n?\nAnswer: -1048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f + 0 + 0)*(-12 + 29 + 11 + (-1 + 3 + 2)*(-2 + 3 + 0)).\nAnswer: 32*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 303.75, 0.7, 3?\nAnswer: 303.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1026 + 1032?\nAnswer: 2061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*x = 76*x + 104. Suppose 131 = -4*y - 4*d + 3*d, 0 = -d + 5. Let k be (x\/6)\/(y\/51). Sort 1, -5, k.\nAnswer: -5, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.06?  (a) 4  (b) -0.3  (c) -2\/345  (d) -0.5  (e) -3\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*p**3 - 29*p**3 + 92*p**3 - 30*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 7:43 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 8 + 19*n**3 - 9*n**3 + 14*n + 6*n**3 - 11.\nAnswer: 16*n**3 + 14*n - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21 - 4*j**2 - 6*j + 17*j - 6*j - 7*j to the form k*j**2 + h*j + g and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 + (-1)\/2)\/(82\/(-984)). Let m be ((-1)\/(-3))\/(10\/30). Let r be (-4 + m)\/v - (-23512)\/(-16). What is r rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/3, 202, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 41 by 110.\nAnswer: 41\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -19*s - 45. Let q(t) = 10*t + 22. Let i(w) = 3*d(w) + 7*q(w). Differentiate i(o) with respect to o.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7 and 825?\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122*u + 2561735 + 6511527 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -549674, -549671, -549668, -549665, -549662?\nAnswer: -549659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 24\/(-5)*(-10736)\/(-264) - 13. What is the biggest value in -0.6, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*x - 69 + 380 - 56 = 0 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96*x - 13 = 97*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (47\/2397)\/(1\/(-3)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -82*t**6 - 111619*t**4 + 8576*t**2 + 1597*t wrt t?\nAnswer: -9840*t**3 - 2678856*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -298 + 300. Suppose -j*g - 10887 = k - 6*k, k - 2175 = g. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 85?  (a) 4  (b) 0.188  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -20, -350, -1246, -2990, -5864?\n\"Answer: -47*o**3 - o**2 + 2*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15421446 = 5*o + 3108571. Let f = o + -29571047\/12. Let k = 1690 + f. What is the common denominator of k and -77\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1536 by -2.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -812180, -811832, -811484?\n\"Answer: 348*g - 812528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.008 + 0.392. Let t = -0.82 + 0.02. Let f = 3.8 + t. Which is the second smallest value?  (a) n  (b) f  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/10 - (-106)\/(-530)) + (336\/(-540))\/(-1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(39)\/sqrt(3) - (sqrt(13) + (sqrt(1300)*-1 + sqrt(1300))**2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.308 - -4.4. Let c = k - -0.908. Is c at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66835?\nAnswer: 5, 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 26112 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2045 - 6195. Round w to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5)\/(-3)*4*(-1512)\/16. Let y = 638 + a. Let u(h) = -h**2 + 9*h - 3. Give u(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.3, 3, 291, 3\/2, 14, -0.13?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -10001010 (base 2) in base 10?\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -650534697524 and 0.13.\nAnswer: -650534697523.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4965834?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 8 - 0. Let j be 4\/l*222\/3. Let t = j + -32. Solve -p - 20 = -t*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 5\/(1 - 348\/354)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2165\/253 or -8?\nAnswer: -2165\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, p: 12, r: 4, u: 1}. Give prob of sequence uii.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*u - 144*u**2 - 3*u + 3*u**2 + 12741*u**3 + 4*u - 12106*u**3 wrt u.\nAnswer: 3810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = o + 13. Let h be -8 - (-3)\/(-3)*o. Suppose -y - 3*t + 2*t = -3, 5*y = t + 15. Sort y, h, 4 in ascending order.\nAnswer: h, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 327385 by -205.\nAnswer: -1597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 8 - -14fea?\nAnswer: 14ff2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -5*w**2 - 11*w - 11. Let c(h) = 5*h**2 + 2 + 2*h - 22*h**2 + 8*h**2 + 10*h**2. Determine -11*c(t) - 2*r(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*y**4 + 7*y - 13*y**4 + 3*y - 3*y wrt y.\nAnswer: -192*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 8*u - 3*u - 546, 5*g - 4*u + 687 = 0. Let r = 110 + -440. Let p = g - r. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43099, -42744, -42143, -41290, -40179, -38804?\nAnswer: -37159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 4*j + 1 + 3 = 0, g = -5*j + 23. Suppose 2*l + g*n = -0*l, 0 = -5*n. Suppose l = 2*t + 3*t - 5615. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15*1\/(15\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000043213309 rounded to 7 dps?\nAnswer: -0.0000432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4915 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/2280 and 127\/1710?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2408 + -7.\nAnswer: 2401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 416033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -38 divided by 15758\nAnswer: -19\/7879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 10\/2*25 + 4. What is the greatest common divisor of 43 and v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -183 - 2127 - 1226 = 208*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 114173597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(325) + ((sqrt(13) + -5)*-4 - sqrt(13)))**2*3.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-132)\/8)*11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/9*(-81 + 26730\/275).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/3117 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**2 - 2*v + 1. Let l be x(3). Let a be l\/10 + (-534)\/(-15). Calculate the greatest common factor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) -3\/14  (c) -2\/11  (d) -20151  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2493*w = 975*w + 45540 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 170706 and 369978.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1222 (base 4) to base 6.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 + -6. Suppose f = -2, 5*v + 222*f - 221*f = 13. Solve 1 = v*u - d*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -16*c**3 + 5*c**2. Let o(t) = 24*t**3 - 8*t**2. What is -8*f(n) - 5*o(n)?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -w + 4*w. Suppose -2*y - w = -4*p - 1, 2*p = 3*y + 1. Solve 2*n + 2*k = -8, y = -0*n - n - 4*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 677293458?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 5*u, 0 = 3*v - 5*v - u. Let j(c) = v*c - 5 - c + 5. Let q(b) = -b**2. What is q(j(a))?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 675085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -584, -2390, -5400, -9614, -15032, -21654?\n\"Answer: -602*p**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**2 + 3*y - 15. Let g = -3 + -3. Let w be q(g). Suppose 128 = w*z + 4*l, 13 = 2*z - 2*l - 63. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91887163.\nAnswer: 349, 263287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 4*x = -4*l + 37, -4*x = -4*l + 28. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 671.5138 centuries to years.\nAnswer: 67151.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 8 = 2*u - 4, 0 = 3*u + 5*k + 4. What is the first derivative of -3 - m**u - 11*m**2 + 2*m**2 wrt m?\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34123 (base 6) to base 11.\nAnswer: -3677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/33 and 32\/2787?\nAnswer: 30657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, q: 4}. Give prob of sequence qqvv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.04  (b) -2.6  (c) 68.56  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 5*s**2 + 8*s - 3. Let g(z) = 11*z**2 + 17*z - 4. What is -6*g(x) + 13*y(x)?\nAnswer: -x**2 + 2*x - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*z + 3*z + 0*z**3 + 41*z**2 - 7*z**3 + 5*z**3 - 3 + 0*z**3 - z**4 as p*z + g*z**2 + n*z**3 + j + a*z**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28680.\nAnswer: 2, 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4986)\/135 + (-52)\/780?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = -2*u + 218 - 212, -3*z = 5*u - 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of 0*h**3 + 0*h**2 - 4\/3*h**6 + 0*h**4 - 2\/5*h**5 + 0*h - 11. Solve l(p) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r\/r**(-8)*r**(2\/29))**(4\/5))**(-20) assuming r is positive.\nAnswer: r**(-4672\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 2*h + 114 = 2*t, t - 5*h - 108 = 0. What are the prime factors of t?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -4*q - 2. Let g(d) = 35*d + 21. Give g(a) + 6*w(a).\nAnswer: 11*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 490*l**5 + 2355*l**2 + 1185*l**5 - 848*l**2 + 5*l**5 wrt l.\nAnswer: 100800*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 4246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.8982 + 0.0022. What is k rounded to 1 decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u - 1. Let f(r) = -r - 7. Determine 3*f(n) - 21*p(n).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**2 + l**2 - 1 - 6*l**2)*(l**2 - 2*l**2 + 2*l**2).\nAnswer: -2*l**4 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -535 + 550. Suppose -27 = -t*g + 18. What is the smallest common multiple of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 981 - 976. Let t(h) = -h**3 - 4*h**2 - 2*h - 5. Let g be t(-5). Suppose g - 10 = -c*u. Sort u, 4, -2 in ascending order.\nAnswer: u, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*r + 6*r + 5 + 6*r - 5*r.\nAnswer: 20*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o = 6*o + 30. Let f(c) = c**2 - 3*c - 5. Let t be f(o). What is the smallest value in 4, t, 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -1 - 6 - 6*z**2 + 9*z**2. Let m(h) = 5*h + 77. Let l be m(-16). What is the lowest common multiple of n(l) and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 70649, 564895, 1906343, 4518593, 8825245, 15249899?\n\"Answer: 70600*y**3 + y**2 + 43*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 - (3 - 1 - 1). Let i = 5 + f. Suppose 5*h - 4*t = -9*t + 770, -i = 3*t. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18 - -6. Is (a\/(-8))\/((-3)\/(-466)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (0 + -3 - (-18 + 24))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1\/9, -1, 0.3, -16, -133.\nAnswer: -133, -16, -1, 1\/9, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.33 + -4.67. Let l = 44 - 70. Let n = l - -25. What is the nearest to n in b, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 + 1 + (3 - 2) + 213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the first derivative of -q**4\/4 + 8*q**3\/3 - 7*q**2\/2 + 2*q + 1. Let y = -11 - -18. What are the prime factors of t(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00085767 rounded to 6 dps?\nAnswer: 0.000858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-20)*w*w**(-4) assuming w is positive.\nAnswer: w**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 + -11)*140\/(-8)*(-96)\/(-30). Calculate the highest common factor of 4664 and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 3 - 2)*(2 - 2 + 2*i) - i + 0 + 0 - 2*i + 4*i - i + 0 + 2*i + 0 + 1191*i + 38*i + 108*i to c + n*i and give n.\nAnswer: 1341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 4*d = -0*u + 408, 5*u = 2*d - 504. Round u to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 285, 573, 861, 1149?\n\"Answer: 288*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - 629e7?\nAnswer: -629e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/40*90\/48?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-65)*(-875)\/(-525).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52 + -2 + (-812 - -874).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01366118581 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 864 and 45778392?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g - 2*g + 3*g)*(-1 - 1 + 7).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*u - 26 = 11*u. Solve 4*z - 1 = -u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mvvbvvvbvbvbobbvvjvm. Give prob of sequence vmb.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -t**2 + 29312*t - 48775111 = 0.\nAnswer: 1771, 27541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.02142 + -0.12142. Let o be (-105)\/2 + 0 - 1. Let k = -52 - o. What is the nearest to w in -0.1, k, 2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -139\/126 and (((-286)\/(-297))\/(-26))\/(56\/(-660)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1682*u**2 + 3512*u**2 - 1652*u**2.\nAnswer: 178*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -5 - k**2 + 3 + 7*k**2 - 2*k**2. Does 14 divide b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 14 + 45 = 5*c, -4*c + 8 = -4*z. Suppose -z*d + 2*d = -4. Let a = 9 - -8. Solve -3 = -d*o + a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - 2*o - 3*o - 2*o + 6*o + (1 + 4 - 3)*(-o + 1 - 1) + o + 6 + 0*o - 3.\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -0*r + r. Let y be (-4)\/r - 18\/(-27). Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 36670.2745 - 36676. Round x to 2 decimal places.\nAnswer: -5.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32 (base 8) to base 7\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45365.\nAnswer: 5, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 20\/21?\nAnswer: 20\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2400)*1*-5 - sqrt(2400))*6)\/(-1*sqrt(8)*2 + (sqrt(72)\/sqrt(81) - sqrt(8))).\nAnswer: 135*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*-4*-4*2\/16. Suppose -z*t + 0*t = 24. Calculate the lowest common multiple of 15 and (t\/(-3))\/(2*1\/9).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the first derivative of 310*i**5 + 4722*i + 2770. Differentiate h(n) wrt n.\nAnswer: 6200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p. Let w(z) be the third derivative of -223*z**5\/30 - 5*z**4\/24 + 205*z**2 + 1. Give g(w(y)).\nAnswer: -446*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9501 - 9499.9. What is the fourth smallest value in 4, 3\/19, r, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 445411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1281 is divided by 117?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*d - 8 + 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28269?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*g + 15860 = 74*g. What are the prime factors of g?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.024 - 10626?\nAnswer: -10625.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79 + 1385 = 3*u. What is the smallest common multiple of 20 and u?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137372232 is divided by 27474443?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/((-1176)\/40)*27\/(-9).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-5)*h*h**(-5)*h*h)\/((h\/(h*h**6))\/h**3) assuming h is positive.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 422 - 12351.\nAnswer: -11929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from kkkkkkkkkkpk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3901692461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 983785 to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30135 by 5.\nAnswer: -6027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of 2*v**3\/3 + 94. Let k(u) be the first derivative of 1 + u - u**2 - u. Calculate k(a(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of -2761*n**4\/4 - 7767*n**2\/2 + 8666. Find the second derivative of p(k) wrt k.\nAnswer: -16566*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00138462 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the third derivative of u**7\/2520 + u**5\/30 + u**2. Let r(v) be the third derivative of l(v). Let s(k) = 16*k - 5*k - 33*k. Determine s(r(c)).\nAnswer: -44*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 + 2 + (-24)\/11. Let b = 0.3 + -0.2. What is the closest to b in -1\/2, 1\/5, g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 6*x**3 - 117*x**2 + 178*x - 2396. Determine r(19).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24, 16, -6, -48, -116, -216?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 9*a - 8 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1384 - -0.14130646.\nAnswer: -1383.85869354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -98.252 - -93.252. Suppose 8 = -5*o + o. What is the nearest to o in f, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (68 + -56 - (-1 + 13)) + 0 + 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 - 207\/(-66))\/((-252)\/(-462)). What is the nearest to g in -3, 20, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -144, -589, -1342, -2415, -3820?\n\"Answer: -2*x**3 - 142*x**2 - 5*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1074, 750, 426, 102, -222, -546?\n\"Answer: -324*u + 1398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a week in hours?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -79 and -59.\nAnswer: 4661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(114)*2)\/(sqrt(6) - (2*sqrt(864) + sqrt(864))))**2 + (-6*sqrt(19)*2*6)**2*-3 + -4.\nAnswer: -361974964\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9973*j**4 - 16146?\nAnswer: 39892*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1386)\/(-945)*(-20)\/3 - -10. Let i = 287 - 1137\/4. Let q = i - 25\/12. What is the biggest value in 2\/21, q, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -4156 less than or equal to -4156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/5121 and -26\/891?\nAnswer: 506979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 - 1010111?\nAnswer: -1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2472*l + 7662 = 16094 + 6400 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7 * 8.32.\nAnswer: -58.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - 75\/11 - (-5 + 582\/(-66))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(2 + (-3 + sqrt(637) + 3)**2)*-1.\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -160\/7  (b) -2  (c) -5  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 - 2*c + 2. Let v(w) = -5*w**2 + 9*w - 9. Let q(m) = 9*j(m) + 2*v(m). Let d(g) = -2*g. Give q(d(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 5*h - 1230 = 0, 2*q - 222 = q + 5*h. Suppose 0 = 2*i - 4*i + q. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 103106644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-33)\/55*5\/(-3). Let y be 2 + -1 - (h - -79 - 2). Let q = 114 + y. Calculate the greatest common divisor of 407 and q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -361.6 - 50.4. Let n = 753 + o. Let u = n - 341.249. What is u rounded to two decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 6914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -0*j - 336. Let i be 4\/(-14) - (-160)\/j. Let p = -1 + 6. What is the closest to -1\/2 in -0.5, i, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 + 13*k**2 + 24*k + 146. Let i be y(-12). Factor -4*c**3 + 3*c**4 + 32 + c**4 - 1912*c + 1928*c + 0*c**4 - 24*c**i.\nAnswer: 4*(c - 2)**2*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 220598 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -6*l - 24. Let u be (60\/(-25))\/(l\/20). Suppose u = y - 4. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 7 = 43. Suppose 15 = -5*p + j*p. Solve i = 2*b + b + 3, p*i = -5*b + 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -43*f**3 - f**2 - 4. Let t be o(-2). Suppose -c = -14 + 9. Suppose 3*k - 520 = -c*x, 3*x - 4*k = -k + t. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16 and 116?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 67893.19ml to litres.\nAnswer: 67.89319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1900324098 to the nearest integer?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -22 + -100321200221?\nAnswer: -100321200303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 117185 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4013*o = -4235*o + 2178 + 1316 - 386 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1122 + 73. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 106 = 2*v + 56, -345 = -2*c - 3*v. Let p(n) = -2*n**3 - 6*n**2 + 4*n - 3. Let t be p(-5). Let h = c - t. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2457 is divided by 134.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(210) - sqrt(210)*2)*4 + sqrt(210))\/sqrt(7))\/(sqrt(36)\/(-1*sqrt(18)\/sqrt(3) - sqrt(6))).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of m**3 + 3549*m**2 - 23310*m wrt m?\nAnswer: 6*m + 7098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 + 8. Suppose 4*n = -272 + 264. Put g, -3, n in ascending order.\nAnswer: g, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17999 by 6.\nAnswer: -17999\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (0 - 4 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 11) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -97753915.\nAnswer: -3\/97753915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 2 + 25*w**3 - 3165*w - w**2 - w**2 + 3166*w - 2 to the form u*w**2 + t*w + q*w**3 + d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -27 - -36. Suppose 20 + 8 = 7*x. Suppose -a = -3*m, m - 183 = -x*t - 4*m. What is the highest common factor of t and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/7 - (-7)\/(98\/76). Let a(f) = f**2 + 3*f + 2. Let n be a(-3). Suppose -5*d + 5*h - n = 4*h, 6 = 3*h. Put -8, l, d in decreasing order.\nAnswer: l, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9392 by 49.\nAnswer: 9392\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -3*u - 1. Let g be w(-1). Let b(r) = 2*r**2 + 2*r**2 - 2*r**2 - 3*r**g. Let d(z) = -z**2. Give d(b(t)).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12 - 7. Suppose 2*f = d - 1. Find the third derivative of 0*w**f + 3*w**3 + w**2 + w**3 - w**3 wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 101696581?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 17885780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) -5  (c) -3\/8  (d) -0.286\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 300619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (23*n + 7*n + 7*n)*(-2*n - 2 + 2) - 2 + 2 + n**2 + 5*n**2 - 4*n**2 - 3*n**2 to i + r*n + y*n**2 and give y.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22 + -10. Suppose v*p - 14*p = -16. Let k be 18\/11*((-156)\/(-9) - 10). Calculate the highest common factor of k and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -2) + 5 + -5 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 4\/5  (c) -6226779\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -9 + 5 + 1 - 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 4*o - 92 = 0, 4*k - 4*o = -k + 119. Suppose k = 4*b - 9. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1242916 is divided by 4972.\nAnswer: 4888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.3  (b) 0.6  (c) -5  (d) 1\/2  (e) -0.1283  (f) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3502833 - 5?\nAnswer: 3502827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, n: 3, s: 4, a: 7, e: 3}. Give prob of sequence saec.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-15)\/(r\/r**9))\/(r**19\/r**(-14)) assuming r is positive.\nAnswer: r**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -42 + 47. Solve -1 + 11 = -j*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r - 5. Let v be d(13). Suppose -v*x = -5*x + 42. Let w = -12 - x. Solve m - w*m - 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*(t*t**(-21)*t)\/t)\/(t**(2\/45)*t) assuming t is positive.\nAnswer: t**(-857\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j**3 + j**2 + 7088 - j**2 - 7088.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/5 of a tonne in kilograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 77 + -76.946. Let y = s + -1.054. Which is the nearest to 2\/7?  (a) y  (b) 5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -798.6759 + 867.66917. Let y = m - 65.4931. Let i = 3.5 - y. What is i rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wbw when three letters picked without replacement from {o: 12, b: 2, w: 3}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*t = -18*t + 16. What are the prime factors of (-9*t\/6 + 5)*-472?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2227 minus 1325162?\nAnswer: -1322935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*d**3*f**2 + d**3*f - 25*f**2 wrt d.\nAnswer: 15*d**2*f**2 + 3*d**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 6. Is 3 - (p\/1 - 118) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -5*(-4 + -1*sqrt(147)).\nAnswer: 24 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -27\/5 + 253\/45. What is the nearest to 1 in 0.2, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - (-8 + 20) - (-2 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 - 11*o**2 + 15*o - 29. Let u be a(-13). Suppose -r + u = -0*r. What are the prime factors of r?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -214 + 378. Let f = v + -92. Let t be (-4*4\/f)\/(2\/(-3)). What is the third smallest value in -0.4, 10, t?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55525.579 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.2395 - 0.2395. Which is the smallest value?  (a) -2  (b) n  (c) -0.3  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -92?  (a) 0.03  (b) -1\/2  (c) -76  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55275 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(0 + sqrt(6)\/sqrt(2)) + (sqrt(192) + sqrt(192) + -1 + sqrt(192) + sqrt(3) - (2 + (sqrt(3) - sqrt(48))**2 + sqrt(3))).\nAnswer: -30 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 565\/7 - 4\/(-14). Let s = 29 + c. Let k(g) = -9*g**3 + 1. Let v be k(-1). What is the greatest common divisor of s and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -7139, -7094, -7049, -7004?\n\"Answer: 45*r - 7184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-29)\/(((((j*j**1)\/j)\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of -11*m**5\/120 - m**4\/8 + m**3 - 15*m**2 + 13. Let o(n) be the third derivative of b(n). What is o(2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -12*10\/(-75) + (-6)\/10. Let y = 21 - 32. Let q = -6 - y. Solve q*i + 5*m + o - 16 = 0, -4*i + m = -12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t**(-3\/2))**38\/((t**(-4)*t)\/((t\/(t**(-4)\/t))\/t)) assuming t is positive.\nAnswer: t**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 + 10*a**2 + 8. Let d be u(10). Suppose -d*w - 23 = -4*w - 3*n, -17 = 3*w - 2*n. Let q(z) = z - 1. What is q(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4485810313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2*m**2 - m + 5. Let f be v(0). Suppose r = f*r - 48. Suppose 0*q = 3*q - r. Solve -5*y - q - 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -2*p**2 - 6*p - 5. Let f(x) = -x - 1. Suppose -k = -4, 2*k = -n + 2 + 18. Suppose n = u + 6. What is u*f(h) - g(h)?\nAnswer: 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**4 + 7176*o**3 + 2579050*o**2 + 3085968*o + 514089.\nAnswer: (o + 1)*(o + 717)**2*(5*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**2 + 51*h + 677. Determine l(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 120*j**6 + 11962*j**5 - 8*j**3 - 1052984*j**2 + 5*j + 15?\nAnswer: 14400*j**3 + 717720*j**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -2*y**4\/5 + 94*y**3 - 5296*y**2\/5 - 308408*y\/5 + 947232 = 0.\nAnswer: -26, 18, 23, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 57434 - 57441 = -s, -14*s + z - 76 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = 1502 - 1492, 5*s - 5*d = 15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let d = -5026 + 45230\/9. Sort 192, d, 2\/7, 1.\nAnswer: d, 2\/7, 1, 192","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -17 greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/84*-2*(-1)\/1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3024 and 37800?\nAnswer: 75600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 75\/4 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 48229, 96429, 144631, 192835?\n\"Answer: l**2 + 48197*l + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 PM and 7:32 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 8 = h, h - y + 56 = 6*h. Let s be (h\/20)\/(-1 - 14\/(-15)). Which is smaller: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31485195 by -14279.\nAnswer: -2205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.676 - -1.626. Put -4\/5, b, -2\/15, 3 in decreasing order.\nAnswer: 3, b, -2\/15, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 23 = -h, -2*w + 208 = 216 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2158, -3243, -5010, -7459, -10590, -14403?\n\"Answer: -341*y**2 - 62*y - 1755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -2*r + 24, -4*a + 3*r + 12 = 36. Is a*2\/8*(-31826)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(2\/7)*o**(2\/5))\/((o**(-11)*o)\/o**(-8)))**(-45) assuming o is positive.\nAnswer: o**(-846\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1, 10, -8 in decreasing order.\nAnswer: 10, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (33\/27 - 1)\/2 - 128152648\/(-234) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 934387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1201021 - 102431?\nAnswer: 1043040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.06671781 to three dps.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 27 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (92\/10)\/((-3)\/75). Find the common denominator of (-1)\/4 - x\/1640 and 31\/22.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1575 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 9:33 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n + 49. Let g be h(16). Let f(c) = -7 + c**2 + 2 + 37*c - g*c. Give f(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30621?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.03  (b) 3  (c) -1  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2779*u + 1662 = 2473*u - 786 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.11681 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 54 * 0.08026934\nAnswer: 4.33454436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -8153*i**3*v**2 + i**3*y - 2*v**3*y + 13*v**3 - 36106*y**4 wrt y?\nAnswer: i**3 - 2*v**3 - 144424*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -91828 or -91829?\nAnswer: -91828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 201 (base 4) to base 9\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 196 = -2*w, -2*c + 93 = 4*w - 295. What is the highest common factor of 864 and w?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + x - 5 = 2*x, -15 = -2*u + 3*x. Let m(w) = -3*w + 24. List the prime factors of m(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -24108618*q**4 - 534*q**2 - 28691?\nAnswer: -578606832*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/(-8))\/(5\/(-100)). What is the second derivative of 7*t**2 + 4 + 20*t + x - 9 wrt t?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 729 = 60*x + 9 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -110.488 and -3.\nAnswer: 331.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9646056?\nAnswer: 2, 3, 7, 19139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 4*n = 23, -6 = -5*a + 5*n + 44. Let g be ((-48)\/32)\/((-3)\/8). Suppose -a*j + 55 = -g*j. What is the remainder when 21 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**4 - 888*s**3 + 37476*s**2 + 1310688*s + 8714304.\nAnswer: 4*(s - 123)**2*(s + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1750893, 1751303, 1751711, 1752117, 1752521, 1752923, 1753323?\n\"Answer: -t**2 + 413*t + 1750481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 5459, 4299, 3141, 1985?\n\"Answer: m**2 - 1163*m + 6621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1505 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 134\/3 - 2284\/51. What is the second smallest value in 0.5, h, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r**4 - 83252*r**3 - 4484900*r**2 - 19844428*r + 24412584 = 0. Calculate r.\nAnswer: -20759, -49, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/1082 and -31\/4328.\nAnswer: 4328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9583 + -9568. What is the least common multiple of v and 1659?\nAnswer: 8295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = b + 18 + 6, -2*t - 96 = 5*b. What is the common denominator of 97\/8 and (-83)\/72 - (-4)\/b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 + 1. Let m(n) = -2*n**3 - 4. Suppose -4*j = r - 4 - 14, 0 = 3*r - 3*j - 24. Suppose 5*k - 2 - r = 4*o, 4*k - 3*o = 10. Give k*z(y) + m(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.6 in 0, 20, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 - 14 - h + h - 9*h. What are the prime factors of a(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w and 1 p when four letters picked without replacement from ppwwpplkwwppkppkpkwl?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 1 - 3)*(-4 + 616*o**3 - 619*o**3 + 0) as c*o**3 + y*o + t*o**2 + b and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 303 + -313 + -1 + 10 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -1492*v**2 - v + 5. Let w(d) = 2985*d**2 + 3*d - 11. Let c(s) = -5*a(s) - 2*w(s). Let y be c(7). What is y rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.97 plus 6?\nAnswer: 8.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 - 11. Let k(r) be the first derivative of -2*r**2 - 3*r + 4\/3*r**3 + 1\/4*r**4 + 2. What is k(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 - (-12 + 2 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, m: 1, k: 5, a: 2}. What is prob of picking 1 k and 2 a?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1319, 5504, 12555, 22478, 35279, 50964?\nAnswer: 69539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -331 - -338. Let b(k) = 6*k**3 + 16*k - 17. Is b(l) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = -5*w + 50. What is the remainder when 38 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*p**3 - 1227644*p - 1227696*p - 5*p**3 + 2455340*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -195 + 276. Let n = p - 49. What is the lowest common multiple of n and 6?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -8*a. Let q(f) = -143*f**2. What is w(q(p))?\nAnswer: 1144*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -15*(7 - 214\/30). Solve 59*f + 201 - 3*f**m - 167*f - 90*f = 0.\nAnswer: -67, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6036?\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 5 = -3. Let d(b) = -3*b**3 + 5*b**2 - 6*b + 1. Let m(a) = -4*a**3 + 7*a**2 + a - 5. Let k(i) = d(i) - m(i). Give k(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of l**5\/690 - 7*l**4\/69 + 57*l**3\/23 + 5*l**2 + 3*l. Factor r(k).\nAnswer: 2*(k - 19)*(k - 9)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5, h: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-25*k**2 + 25*k**2 - 9*k**4)*(554 - 802 - 681 - 967) - 2*k**4 - 4*k + 4*k to r*k**4 + p*k**3 + u*k + q*k**2 + i and give r.\nAnswer: 17062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21326.\nAnswer: 2, 10663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + -2 - (-536)\/(-1). Let r be z\/(-6) - (-4)\/(-12). Let s = r - 54. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1858*s**2 - 284*s**2 + 431*s**2 - 713*s**2.\nAnswer: -2424*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 21*o + 2. Determine z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20*w + 34*w - 14*w - 40 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/24 - (-602)\/336.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1627 minus -36?\nAnswer: -1591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.03, 2\/3, 2\/11, -0.6, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/y**(-1\/17)*y)*y)\/y*y**(-7\/4) assuming y is positive.\nAnswer: y**(-191\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add -2744394 and 0.1.\nAnswer: -2744393.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 12*a**5 + 96548*a**4 - 322124*a**3 - 1320196*a**2 - 1287888*a - 386352 = 0. What is a?\nAnswer: -8049, -1, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + -20020?\nAnswer: -20023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 309 + -24. Suppose -5*o + 408 = -5*a - 1077, -o = 5*a - b. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/2*1)\/(7\/(-1)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 6*m - 32 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1078, -1515, -1952?\nAnswer: -2389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -g, -2*o + 3008 = 18*g - 14*g. Round o to the nearest ten.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-79*o + 152*o + 66*o)*(o**2 + o**2 - o**2).\nAnswer: 139*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 225 a factor of 173700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in -5\/27, 1, 14, 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4496533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 642.397mm to micrometers.\nAnswer: 642397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of -f**3 - 9*f**2 - 29*f + 2. Determine h(6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*y - y + 40. Suppose 3*q = -2*m + 3*m, -y*q = 4*m + 16. What is the units digit of (-13)\/((-65)\/300) - (q + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) -3  (c) -1\/968831\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 391782 and 73146.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a8 - 19028?\nAnswer: -18c50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 7636573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 x when three letters picked without replacement from {j: 2, t: 1, x: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35516, 71030, 106540, 142046?\nAnswer: 177548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 4*k = 25, -102*z + 97*z + 40 = 3*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2909 - 2915. Let r(s) = -5 + 4 + 0 + s. Let b(x) = -1. Let o(t) = -t**2 - 11*t + 14. Let w(q) = 3*b(q) + o(q). Determine z*w(n) - 66*r(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of 16*n**3\/3 - 9*n**2 - 12. Let x(j) = 15*j**2 - 17*j. Let b(m) = 3*t(m) - 4*x(m). What is the second derivative of b(y) wrt y?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 6458, -1, 222?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**2 - 1 + 1)*(3 + 175*k**2 + 1 - 1395*k**2 + 151*k**2).\nAnswer: -1069*k**4 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1614*s**2 - 1359*s + 1613*s**2 + 1379*s.\nAnswer: -s**2 + 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -6 - 1 - (1 + (-3 - 2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -26, -45, -62, -77, -90, -101?\n\"Answer: t**2 - 22*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of -t**2 + 2. Let k(v) = 3*v + 1. Let j be k(-1). Determine p(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 28  (b) 4  (c) 274\/13  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/27 and 143\/84.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/5)*t\/((t**(2\/13)*t)\/t))\/(t**(1\/2)\/(t**(-1\/4)\/t))*t**(2\/25)*t**3\/(t*t**(-2\/3)*t) assuming t is positive.\nAnswer: t**(1727\/3900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Solve -380*f = -104*f + 47*f - 126725 + 102823 for f.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of -2*p**3 + 3*p**2 - 7*p + 1. Let f(u) = u**2 - u + 1. Let n = 2238 - 2236. Calculate n*j(m) + 14*f(m).\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 489025\/(-27125) + (-1)\/(-35)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 0, 3 in descending order.\nAnswer: 3, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104 - 49*g**2 + 49*g**2 - g**3.\nAnswer: -g**3 + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*x**3 + 114*x**3 - 9*x**3.\nAnswer: 97*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 + -2)*3*-1 - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 231304?\nAnswer: 231304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -186*k + 184*k = -310. Which is smaller: 157 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put 12, 5, -383, -1 in decreasing order.\nAnswer: 12, 5, -1, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 104\/28 + (-4)\/(-14). Solve -q + 6 - n = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1255 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -45 + 51. Let x(t) = 4*t**2 - 3*t + 1. Is x(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6261 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -8*h + 3*h + 68, 0 = -5*a - 3*h + 132. Let j be 4\/6*7*6. Let m = j - a. What is the remainder when 7 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in -1\/7, 4, -0.4, 42?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -671*a**2*s + 1924*a**2 wrt s.\nAnswer: -671*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3*4\/(-16))\/(46\/92000*-10))\/(-2)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 525968460 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.0153  (b) 2\/13  (c) 3  (d) -0.0435  (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 i when three letters picked without replacement from qoieoieiihioeeiiiiq.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 279300685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 64560*x**4 + x**2 - 493419*x + 4?\nAnswer: 774720*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of 0*o**4 + 0*o + 19\/3*o**3 + 2\/15*o**5 + 0 - 37*o**2. What is the first derivative of d(p) wrt p?\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1344, 1375, 1406, 1431, 1444, 1439?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 45 - 43. What is the smallest common multiple of 5 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 + 25*s**2 - 101*s - 117. Calculate z(19).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 91 - 91.1. Which is the second smallest value?  (a) g  (b) -0.5  (c) -2  (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36 divided by -4466\nAnswer: 18\/2233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -2*v**3 + 2*v**2 - v. Let s(l) = -l**2 - l. Let p be 27\/(-9) + 2*6\/3. Let b be (2\/(-2))\/(5\/55). Let u = -12 - b. Calculate p*s(k) + u*y(k).\nAnswer: 2*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 + 99*l - 1975. What is p(0)?\nAnswer: -1975","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/131, -0.9, 2\/5, 0.085, 1.8?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 389 + -383. Let z = -4727 - -7295. Suppose 0 = 6*m + s*m - z. What are the prime factors of m?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/7 and 105\/153956.\nAnswer: 1077692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003934 rounded to six dps?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123 = -3*s - 0*s. Let j = s - -29. Let z = 10 + j. What is the third smallest value in z, 2\/13, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + -3.5. What is the biggest value in w, 2, -0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 23956*f**6*t**2 + 4*f**3*t**2 + 14*f**2*t**2 - 733*f**2*t - 2*t wrt f.\nAnswer: 2874720*f**3*t**2 + 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1\/5, 5, -48, -0.126, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + l = -g + 597, 588 = -4*g + 4*l. What is the tens digit of (-9)\/21 - g\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 70, 392, 960, 1768, 2810, 4080, 5572?\n\"Answer: -p**3 + 129*p**2 - 58*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 988\/5807 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 141 + -347. Let y = 205.794 + p. Let w = y + 0.28. Round w to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/11 + 150\/22. Solve 0*c = -4*x + 2*c, q = -3*x + 5*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 27*o + 2. Let n be i(4). Suppose 4*j - 106 = 2*l, 0*l = 4*j + 2*l - n. Suppose -p = -4*p + j. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 705*o - 4491 = 15214 + 19564 - 4019 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108046?\nAnswer: 2, 89, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yihmmyhhih. What is prob of sequence hm?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -5*t**2 + 5*t + 4. Let a(r) = -10*r**2 + 10*r + 9. Let d(y) = 6*a(y) - 11*l(y). Determine n, given that d(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, -21, 5, 49, 2 in increasing order.\nAnswer: -21, -2, -1, 2, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 85*m. Let i be j(2). Suppose -v - v + 19 = x, 0 = -2*v - 4*x + 34. Suppose v*z - i = 2*z. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88950 is divided by 3865.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -2*a**2 - 28*a - 42. Let w(v) = v**2 + v + 1. Let z(g) = j(g) + w(g). Let c = -560 - -541. What are the prime factors of z(c)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 - 2*p**2 - 3*p - 7. Let q(g) = g**2 - 1. Let m(v) = h(v) - 3*q(v). Let r be 3 + 0 + 0 - 0. Suppose 0 = -5*d + r*d - 8. What is m(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bkbz when four letters picked without replacement from {k: 9, q: 1, b: 2, z: 2}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -60\/2191 or 1?\nAnswer: -60\/2191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + -1. Let f(x) = -x**2 - x**2 + x**v + 0*x**2. Let t(p) = 1. Let h(w) = -2*w - 3. Let i(q) = h(q) + 3*t(q). Calculate i(f(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of -m**4\/4 + m**3\/3 + 9*m + 12. Let f be x(0). Suppose -52 = -f*d + 5*d. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14286)\/(-1366694))\/((-9)\/(-246))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 + 1)*(-2*c + 2*c - 2*c**4) + 102 - 102 + 54*c**4.\nAnswer: 50*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 3) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2245 + -2244.999998453. What is d rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 3*w = 8*z - 563, z - 4*w - 116 = 0. Suppose -3*d - z = d. Is (-1068)\/(-14) - (-8)\/d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/2 - (3 - 1). Suppose -8 = -q + t*a + 18, -5*q + a = -102. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 1876 - 8*c**2 - 1872 - 2*c + 3*c**4 + c**4 - 2*c**5 + 4*c**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 2*n + 680330, 0 = 5*n + 5*l - 6*l + 1700880. Let w = 391825 - n. Round w to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -74 - -118. Let n be 6*4\/(32\/y). Let w = -68.1 - -68. Which is the second biggest value?  (a) w  (b) -3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -3\/35  (b) 0.3  (c) 2  (d) -2  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/2520 and 61\/48?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1025\/13 + -79. Let r = -0.21 - 1.79. Sort 4, w, r.\nAnswer: r, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -21*g + 5. Let d(f) = -22*f + 6. Calculate -5*d(b) + 6*l(b).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.82537 and 2673580.382.\nAnswer: 2673579.55663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -37*x**4*z + 11*x + 5009*z wrt x.\nAnswer: -148*x**3*z + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10.6 - -9.6. Let w be 1\/(-16)*(-86)\/(-5). Let g = -7\/8 - w. Put o, g, -1\/4 in ascending order.\nAnswer: o, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 44*v**2 - 2*v + 1. Let x = -55 - -274. What is the remainder when a(1) is divided by x\/15 + (-4)\/(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 110802 and 976568?\nAnswer: 916997352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -437.41 - -434. Let c = m - -4.3. Round c to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7987017.\nAnswer: 3, 2662339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of 2*g**2 - 20*g + 2. Let n be d(8). Suppose -m - m = -n. Solve -m*b = -2*b - j - 18, b - 2 = -j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 + -3 - -4) + -2 - 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b - 3*v + 8, -3*b - 3*v + 7 = -v. Suppose -f + 3 = -b. Suppose f*o - 6*o = 6. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(0 + sqrt(130)\/(sqrt(40)\/sqrt(4)) - sqrt(117)\/(sqrt(9) + (sqrt(63)\/sqrt(7) - sqrt(9)) + sqrt(9))*-1).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 106467 and -130?\nAnswer: 106597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 214673027.\nAnswer: 1097, 195691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/30111, 0.5, 4, 33, -0.4 in decreasing order.\nAnswer: 33, 4, 0.5, 2\/30111, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 - 9*i**2 + 10*i + 3. Let c be k(-10). Suppose 0 = -f + 5, 2*f + 147 = c*b + 40. 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 682 minutes before 2:45 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 2*q**2 - q + 1. Determine w(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 29 = t, 2*j - 14 = -5*t + 16. Let n = 35 + j. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 4*t - 8 = 0, 15*o + 2 = 11*o - t. Suppose a + 1320 = 5*b, 3*b + a + 2*a - 792 = o. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -761 + 1223. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23.87 - -23.87. Which is the fourth smallest value?  (a) -2.2  (b) x  (c) 4  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -124 - -24?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1107 and 1476?\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*c**5\/4 - 37*c**4\/4 + 17*c**3\/2 - 2*c**2 = 0 for c.\nAnswer: 0, 4\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 PM and 9:13 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-51060)\/(-7659))\/((-10)\/(-114))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5063\/30 + 337\/2. Which is the second smallest value?  (a) -2  (b) -0.1  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -556*u - 562*u + 1119*u. Let q(h) = h**2 + 3. Determine b(q(a)).\nAnswer: a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -619*z - 1 + 13 - 13 + 1.\nAnswer: -619*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1173942 and 365706.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate r**4 + 3 - 3*r**4 + r**4 wrt r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.157, 0.3, 2, -133\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19 - -31. What is the units digit of -2 + 1*t - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22 + 16. Suppose -3*b = v - 32, 18 = 3*b + 3*v - 18. Calculate the remainder when z is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3395, 13902, 31431, 55994, 87603, 126270?\n\"Answer: 2*o**3 + 3499*o**2 - 4*o - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 9*d + 31. Let b be u(-3). Let m(a) = 273 + a - 280 - b*a. Let l(q) = 3*q + 6. Determine 5*l(x) + 4*m(x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -2*p + 2. Let t = 34 - 26. Let n(h) = -t - 4 + 13. What is -d(i) + 2*n(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3720464261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -5*q**3 - 1. Let k be s(-1). Suppose -k*g + 0*m + 2 = m, -10 = 5*m. Is (-25172)\/(-35) - g\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21439 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11532 is divided by 1898.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of -j**3\/2 - 7*j**2\/2 - j. Let g = 15 - 22. What is the smallest common multiple of 14 and i(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 + 13. Let q = -0.179 + -298.821. Let i = -308 - q. Is b greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 2*u**4\/9 + 1526*u**3\/9 + 42964*u**2 + 32688832*u\/9 + 32303680\/9 = 0?\nAnswer: -290, -236, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-15)\/(-20) - (-38)\/(-8)) + 1. Let j(p) = 2*p + 5. Let w(z) = -z - 2. Determine c*j(f) - 8*w(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r + 8*r - 537. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (33\/(-66))\/(((-2)\/12)\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-324)\/(-45) - 9)\/((-3)\/(-10)). Let b(m) = 3 - 8*m - 5*m**2 - 1 + 10*m. Let o(i) = i**2 - i + 1. Let z(a) = -b(a) - 4*o(a). Determine z(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -52 + 21. Let q = h - -33. Suppose -n = q*o - 3*n - 8, -20 = -4*n. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -144551791 less than 0.019793?\nAnswer: 144551791.019793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from keqkxqqeeqkqqq. What is prob of picking 1 q and 1 x?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12122093?\nAnswer: 12122093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 199 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 32?  (a) 5  (b) -0.1  (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -178, -187, -200, -223, -262, -323?\n\"Answer: -b**3 + 4*b**2 - 14*b - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 10:25 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-27))\/(56 + (-10577)\/189)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 5, w: 3}. What is prob of picking 2 w and 1 v?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-17)\/((-100)\/24 - (-1 + -4)). Let g = -103\/5 - l. Put -0.1, g, 5 in increasing order.\nAnswer: g, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/66*((-9)\/(-36) - (-150)\/(-72)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes before 5:59 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y - 2*y + 0*y - 4*y**2)*(-4*y**2 - 1 + 2*y**2 + 2).\nAnswer: 8*y**4 - 4*y**3 - 4*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -13780*p. Let a(u) = -3*u**2 - 265*u. What is j(a(y))?\nAnswer: 41340*y**2 + 3651700*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.4, 16\/7, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - y)*(1 - 3 - 1) + (-1 + 1 - 1)*(y + 2*y - 2*y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 24\/(9 - 5)*(-15)\/(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 28 = 5*t, -3*n + 89*t + 25 = 90*t for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from qwcbj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (13 + -7) - 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 30.76 + -31. Let b = o - -0.34. Put -5, b, 3\/5 in increasing order.\nAnswer: -5, b, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 3*u + 2. Let i(x) = 2*x**2 + x + 1. Let g(f) = -i(f) - v(f). What is g(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 109313440*b**6 - 68*b**2 - 2*b - 66123 wrt b.\nAnswer: 13117612800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 greater than -575.69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 20 = -y. Let i be 4\/y + (-11)\/(-1). Let j be (6\/4 + -1)*0. Solve -5*u - 13 - 12 = j, -5*a + 2*u + i = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*h**2 - 169*h + 169*h)*(-2 + 2 - 2)*(h + 11 - 11)*(1 + 0*h - 4*h + 2*h) to w + y*h**2 + p*h**4 + q*h + d*h**3 and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 664524 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -7*k - 29, -5*k - 28 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(((sqrt(320) - (5 + sqrt(320)*2))**2 - (-3 + 0 + sqrt(320) - sqrt(320))) + (-2*(sqrt(320)*-1)**2 - 6*(0 + sqrt(320))**2)).\nAnswer: -13272 + 480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*j**5 - 1249*j**4 + 99*j**2 - 56?\nAnswer: 360*j**2 - 29976*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.794487 to three dps.\nAnswer: 0.794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 6*t = -3*t - 41, 5*y + 4*t = 85. What is the remainder when y is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 363, 743, 1121, 1497, 1871, 2243, 2613?\nAnswer: 2981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddde when four letters picked without replacement from mddddeoddddddxd.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14091, 56328, 126737, 225324, 352095?\nAnswer: 507056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(54\/(-13)) + 298\/(-1341)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1037 - -6223\/6. Let g(w) be the second derivative of 1\/2*w**2 - u*w**3 + 5*w + 0. Let l(p) = -7*p + 9. Calculate 18*g(t) - 2*l(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5040)\/(-18536))\/(-30)*4\/6 + 0.\nAnswer: -2\/331","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18 and 17044?\nAnswer: 153396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/21140 and -59\/22952.\nAnswer: 803320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 958877 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + 3*p + 108, p - 49 = -a - 3. Let d = -537 - -576. Which is smaller: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36 and 436.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 320 and 1620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-5 + -5 + -2 + 4*4*sqrt(1053)))**2 + -2.\nAnswer: -124416*sqrt(13) + 9709630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.5*0.68.\nAnswer: 3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1671488 and 1312.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1, -4, -241, -2 in descending order.\nAnswer: 5, 1, -2, -4, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -852, -9, 1 in decreasing order.\nAnswer: 1, -3, -9, -852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 8104.918ug in milligrams?\nAnswer: 8.104918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1037295 and 11340?\nAnswer: 37342620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3147654120?\nAnswer: 2, 3, 5, 13, 2017727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i - 41. Let u be w(18). What is the biggest value in 4, u, -3, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 7, x: 3}. Give prob of sequence xx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/108 and 139\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7938*d + 7888*d = 0. Solve d = 2*g + 118 - 112 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 941794 is divided by 55.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1.72*0.08\nAnswer: -0.1376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-17)\/(17\/(-8)))\/12*(-6)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z = -3*z - 6. Which is the closest to 0.4?  (a) -9  (b) z  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*k - 0*k. Suppose 0 = -5*p - h - 421, 5*p + 5*h = 2*p - 257. Let f = p + 86. Calculate the remainder when k is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -49*z + 62*z - 14084 - 8484. What is the lowest common multiple of z and 2480?\nAnswer: 17360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -122 + -2000010021011011?\nAnswer: -2000010021011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27563, 16233, 4903, -6427, -17757?\nAnswer: -29087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - (-43 + 32)) + 14 - 136.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28627 + 0 + (-1695)\/(-113) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -60d (base 16) to base 9\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1085 = 2585*m - 2550*m for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 6) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 3:38 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}