diff --git "a/data/dm_maths/full_data_1/1094_11255.jsonl" "b/data/dm_maths/full_data_1/1094_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1094_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let f = -31 + 34. Suppose 0*s + 94 = s - 2*r, -4*r - 292 = -f*s. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(436\/(-28) + (-28)\/(-49))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1533410*b*i**3*u**3 - b*i**3 + 2*b*i**2*u - b*i**2 + 71413*b*i*u**2 - 2*b*u**3 + i**3 - 16*i*u**3 wrt u.\nAnswer: -9200460*b*i**3 - 12*b - 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c + 2*c - 8*c - 5*c**3 + 6*c**2 wrt c?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 - b - 1 + (0 - 2 + 0)*(2*b + 0 + 0).\nAnswer: -5*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3\/2, -0.1, 8\/19, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -4 - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3633218 is divided by 4420.\nAnswer: 4398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 6*w = 2*u, 2*w + 12 = -u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -25.7125.\nAnswer: 102.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -16*f + 5. Let w be (-45)\/(-6) - (-75)\/(-30). Let k(b) = 8*b - 2. Calculate w*k(y) + 2*s(y).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + 6*sqrt(363)*-2 + ((sqrt(363) - (sqrt(363) + 0)) + 3 - (sqrt(363) + sqrt(363) + 1 + sqrt(363) + 3))))**2.\nAnswer: 1650*sqrt(3) + 81700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/7)*h\/(h\/h**(3\/2))*h)**(-7\/2)*(h**(-1))**(-8\/9)*(h*h\/h**(-1\/4))**(-25\/3) assuming h is positive.\nAnswer: h**(-280\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -29*d + 4. Suppose -5 = 2*j - h, j + 3*h = 2*j + 5. Is b(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2659 or 23924\/9?\nAnswer: 2659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 6*t**2 + 5*t + 2. Let p be z(-4). Suppose -16 = 4*j, -5*o - 11*j + p*j + 1627 = 0. Calculate the highest common factor of 51 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 23 = 3*y, 144*k + 5*y - 41 = 143*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60 - -42) + (2 - 0\/1). Calculate the common denominator of o + 21 + 262\/(-90) and -109\/12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**4 + 951786*t**3 + 52*t**2 - 9934*t wrt t.\nAnswer: -24*t + 5710716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2744 and 56?\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 7 - (10 - 2). Let q(x) be the third derivative of y*x + 5\/6*x**3 - 1\/12*x**4 + 0 - 8*x**2. What is q(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 1. Let j(t) = -t. Give -4*j(o) + l(o).\nAnswer: 7*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -31*z**2 - 3*z + 175. Let o(y) = -11*y**2 - y + 59. Determine -6*l(p) + 17*o(p).\nAnswer: -p**2 + p - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*d + 28 - 304 = 192 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y - 16*y + 2*y = 0. Which is smaller: y or -10\/139?\nAnswer: -10\/139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/2629773 and 55\/3114.\nAnswer: 5259546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 695*13.7138\nAnswer: 9531.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by 67.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 + -7 - -2) - (26 + (34 - -13))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240091941?\nAnswer: 3, 41, 1951967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4.21 * 0.05\nAnswer: -0.2105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2296*c - 4148*c - 4836*c + 2 - 2 + 869*c)*(11*c - 13*c - 14*c).\nAnswer: 93104*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((28\/(-35))\/((-1)\/30))\/2. Suppose g - 5*g = -h. Suppose g*f = -4*f + 56. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -121850 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 22\/3485?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 13*v**2\/2 + 1459*v - 265. Is x(0) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 961064658?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 9. Let s be w(3). Let t be 7\/(-9) + 4\/(-18). Let q = 6 + t. Solve -2*p = s - q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -9*q + 252. Suppose q*m + 4*j - 20 = 0, -2*j + j + 8 = 2*m. Solve 8 = b - 5*o, 0 = b - 0*o + m*o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = p + 36, 9*j - 14*j - 4*p + 45 = 0. Calculate the least common multiple of j and 43.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 + 1)*(23 - 25). Solve 12*t = o*t - 4*v, 0 = -t + 3*v + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208123 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -1, -3, 0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -24. Let l(c) = c**2 + 10*c. Let t be l(z). Suppose 0 = 2*f - 8, -2*a + 3*f + 3 = a. Solve t = -y - a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76655 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*d**2 - 131*d**2 + 40*d**2 + 41*d**2 + 61907.\nAnswer: -2*d**2 + 61907","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(3*k**2 + 5*k**2 - 5*k**2) + 0*k**2 - k**2 - 3*k**2 + (-2*k + 2*k + k)*(3*k - k - 5*k).\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6452*s - 6462*s - 60 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 7. Suppose -4*k - t + 0*t - 8 = 0, 0 = k - 5*t + 2. Which is the second smallest value? (a) j (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3073nm in millimeters?\nAnswer: 0.0000023073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 2 + 2 - 29*q**3 + (-q - q**2 + q)*(-171*q - 239*q + 96*q).\nAnswer: 285*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -432 - -413.7. Let p = 18.4 + u. What is the nearest to -0.1 in p, -0.6, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 336*o**4\/11 - 534*o**3\/11 - 24*o**2 - 24*o\/11 = 0.\nAnswer: -2\/7, -1\/8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1039367.05199938 - -1039367. Let s = -0.052 - z. Round s to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h + 10. Let y be m(5). Calculate the greatest common factor of 200 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttts when four letters picked without replacement from {t: 4, s: 14}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 58*p**2 - 65*p - 399. Calculate the remainder when h(-57) is divided by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/221 and 97\/26962?\nAnswer: 26962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -23*z - 17. Let k be m(-5). Let d = -88 + k. What is the least common multiple of d and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/3768580 and -43\/370680.\nAnswer: 22611480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, -0.4, -2\/131, 0.18.\nAnswer: -5\/6, -0.4, -2\/131, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:23 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153860595?\nAnswer: 3, 5, 7, 31, 47269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((20\/295)\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42 or 0.005485?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**4 + i**2 - i. Let p(c) = 130*c**4 + 44*c**3 - 5*c**2 + 9*c. Suppose -5*w - 5 = 85. Let y(o) = w*z(o) - 2*p(o). Suppose y(j) = 0. Calculate j.\nAnswer: -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-37)\/(-6) + -2 + 55\/30. Let g be (-3)\/((-45)\/j) - (-66)\/10. Solve 4*v - 2*x + g = x, v = -2*x + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2632403978555077\/27970 - 94115265579. Let m = c - -2\/2797. Calculate the common denominator of m and -25*15\/(-24) - 3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-168)\/147 + 1*(-449)\/(-7). Suppose -4*j + 69 + 3 = 0. What is the highest common divisor of j and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 3*v**5\/20 + 3*v**2\/2 - 2*v. What is the derivative of b(f) wrt f?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (sqrt(1300) + -1)*6 - sqrt(1300) - ((sqrt(117)\/sqrt(3))\/sqrt(3) - (sqrt(91)*2)\/sqrt(7)))**2.\nAnswer: -708*sqrt(13) + 45289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/87335553 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5) + 1*(sqrt(5) + sqrt(5)*-2) + sqrt(45)\/(sqrt(9)*1 - sqrt(9) - sqrt(9))))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o + 12. Let a(l) = -171695*l. Calculate k(a(g)).\nAnswer: -858475*g + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f + 4. Let x be 20\/4*6\/(-5). Let h(n) = -4*n - 3. Give x*h(k) - 5*t(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 6*m - 93 = 0. Let q be 1 - -43 - (1 - 1). Suppose -q = -5*l + m. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49\/220 + -1\/44. Let w = 15.8 - 14. Let l = 1.6 - w. Which is the second biggest value? (a) 2 (b) l (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8959829713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2 - 10*q + 2. Calculate u(-5).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) -0.1 (c) -74 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-5)\/(-36))\/((-57442)\/(-62664))?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 471101132 to the nearest integer?\nAnswer: 21705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2146231 and 3?\nAnswer: 6438693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5039, -1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2161.605 centuries in months?\nAnswer: 2593926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-2))\/2 - -46. Let f be j\/(-9) - (-2)\/9. Let u = -2 - f. Solve m = -u*w - 0*w + 2, -w = -m + 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5478.4801 + 6\nAnswer: -5472.4801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/6729 smaller than -6.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2647\/(-8) + 1)*-2. Suppose 5*u + 5*b - 1217 = 2048, 0 = -2*u + b + 1315. Let r = c - u. Which is smaller: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 16 + (-5)\/2 + 11.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let s(p) = 5*p**2 - 236*p. Give c(s(k)).\nAnswer: -5*k**2 + 236*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/11)*p\/(p**(-1)*p*p)*p\/p**7*p**(-4))**(-3\/5) assuming p is positive.\nAnswer: p**(336\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10427765 by -2085553.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-50) - (-162)\/15 - 9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by 288.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 66*c + 132. Let l be k(64). Let 0*v + 0*v**2 + 0*v**3 + 0 + 1\/8*v**l = 0. Calculate v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*m**2*u*y + m**2*u + 313*m*u*y**2 - 16*u - 2*y**2 wrt y.\nAnswer: -3*m**2*u + 626*m*u*y - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-3\/4)*p)\/p*p)\/(p\/p**(-1\/5)*p)*(p*p**(-1\/2))**(-3\/7))**(-41\/2))**(15\/8) assuming p is positive.\nAnswer: p**(37269\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/2)\/(-6))\/((-6)\/6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**2*s**3 - 2*f**2 - 837*f*s**3 - 2*s**3 - 2388*s wrt s.\nAnswer: 24*f**2*s - 5022*f*s - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (69\/(-6))\/(1\/2). Let v be s\/(-5) - (-4)\/10. What is the third biggest value in 1\/2, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -3. Let r = -3 - u. Find the second derivative of 5*l - r + 21 - l**4 - 11 wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-5 - (1 + -1)). Factor 3*p**5 - 9*p**3 - 8*p**3 + 34*p**3 - 6*p**4 - 14*p**u.\nAnswer: 3*p**3*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhddhhhhaddahhhh. Give prob of sequence da.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77667.\nAnswer: 3, 25889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -740*q + 830*q + 1530 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + (-9 - 1) + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*v = 87*v + 145*v - 28950 for v.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23083382 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 150 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 44862 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -26*x + 23*x. Suppose -6*u = x*u - 10*u. Suppose u = -y - y + 606. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = t - 5912. List the prime factors of t.\nAnswer: 3, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f - 6. Let j be t(-4). Let w = j + -2. Solve -5*g - 2*p + 0*p + 6 = 0, -w = 4*g - 4*p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 0, 31*y = 33*y - r. Is y smaller than -16\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1963 + 3528. Suppose -2*u - f = -4*p - p, 5*p - u = 1570. Is p a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9857*t = 9853*t + 48 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 3*i - 2. Let f be g(-3). Let z(m) = -17*m**2 - 12. Let h(s) = -s**2 + 1. Let c(x) = f*h(x) + z(x). Find the first derivative of c(r) wrt r.\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(39) + (sqrt(39) - sqrt(351)*-4)))\/(5*(sqrt(27)*1)\/sqrt(9)).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 7:02 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482648 is divided by 135?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 5\/672*i**8 - 13*i**2 - 1\/24*i**4 + 1\/120*i**5 - 13\/420*i**7 + 3\/80*i**6 + 0 + 0*i + 0*i**3. Solve o(f) = 0 for f.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - ((-4)\/11)\/2. Let l(k) = 26*k + 34*k + 25*k - 78*k - 53. Let h be l(7). What is the smallest value in t, h, 4\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o - 53 + 179 = 0. Calculate the highest common divisor of o and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 14.8. What is u rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 54064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 244 + -242. Solve -p - 2 = j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 47 - 759552?\nAnswer: -759506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - sqrt(605)*1) + sqrt(605) + (5 + 1*sqrt(5))**2 - ((sqrt(500) + (-1*sqrt(500))**2)*2 - sqrt(500)).\nAnswer: -970 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -52505*g**3 - 36*g**2 + 12. Let c(w) = 2527044648*w**3 + 1732665*w**2 - 577555. Calculate 12*c(v) + 577555*l(v).\nAnswer: 10501*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 - 104) + (3 - -1) + (-2 - -3).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -497740 take away -7?\nAnswer: -497733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1 - (-14 + 15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271887 is divided by 2265?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 31*i**2 + i + 2. Let a be t(-2). Let y = a - 79. Suppose 3*r = -6 + y. Solve -5*z + r = -0*z + 2*h, 1 = -h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/(sqrt(512) - sqrt(8)))\/((sqrt(6)*2)\/sqrt(2)).\nAnswer: sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 362 - 209. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1379986\/951 or 1452?\nAnswer: 1379986\/951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -178.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**3\/6 + 7*k**2\/4 + 5*k + 7. What is p in a(p) = 0?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + -3 + sqrt(363) + 5.\nAnswer: -2 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 3063114432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -513 + -3510?\nAnswer: -4423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6*r + 2*r - 808 = 0, -r = -2. Suppose -w + 24 = 2*k, -2*w - k = -41 - 4. Suppose w*n - 18*n = q. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(21)*-2*-1)\/sqrt(7) + -2 + (-1 + -2*sqrt(48) + sqrt(48) - sqrt(48))**2.\nAnswer: 22*sqrt(3) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86.66 + -81.66. Which is the second smallest value? (a) -66 (b) -3 (c) 1\/7 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -32. Suppose 0*v + 2*v = 2*j + 2, -2*j - 3*v + a = 0. Let r(i) = i + 6. Let z be r(-6). Sort z, j, -4.\nAnswer: -4, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596234717.\nAnswer: 13, 45864209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -135 - -144. Suppose 27*o - k*o = 3510. What is the remainder when o is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**4 - 186*v**3 - 4143*v**2 - 14034*v - 10080 = 0.\nAnswer: -14, -3, -1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -444748\nAnswer: -44474.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -685, -640, -543, -394?\n\"Answer: 26*i**2 - 33*i - 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 472.243l to millilitres.\nAnswer: 472243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005275 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(27) + 1) - ((sqrt(75) + -1)**2 + 1).\nAnswer: -78 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -29*d + 22. List the prime factors of i(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 60 = -3*o. Let f = o - -6. What are the prime factors of (f\/7)\/((-3)\/21)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1858968 and 67\/1858968?\nAnswer: 1858968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.4 + 7.4. Let j = 7 - b. Let k be 7\/(-9) + (-3)\/(-3). Sort k, -1, j in decreasing order.\nAnswer: j, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 2*d**2 - 35. Give t(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 6. Suppose -2*s + 24 = p*w, 5*s + 2*w - 7*w = 30. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*b**2 - 73*b**2 - 30 + 32.\nAnswer: -141*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*(-2*sqrt(891) + -5 + sqrt(891)) + 6*(sqrt(132)\/(sqrt(12)*1) + (sqrt(121) - (sqrt(121) - 1*sqrt(121)))\/sqrt(11)))**2.\nAnswer: 2112*sqrt(11) + 25828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03894228889 to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2048 is divided by 343?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 - 4*d + 91. Let h be y(0). Suppose -b = 2*u - 154, 7*b - 3*b = -u + h. Round u to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91238249 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.8*-0.1.\nAnswer: -3.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -15896, 4, -3, 7, -15 in decreasing order.\nAnswer: 7, 4, -3, -15, -15896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 3:04 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 4 (c) 2\/3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q - 7. Let o(v) = -4*v**2 - 17*v - 6. Let y be o(-4). Let k be t(y). Solve -4 = w + k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, -2\/7, -3, 0.082, -1.8.\nAnswer: -3, -1.8, -2\/7, 0.082, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-426)\/2485*(-10)\/(-3)*28\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 355277810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 3, a: 5, o: 1, y: 2, c: 6}. What is prob of sequence oc?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 6:49 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/11 - 5066*z**2\/11 - 20232*z\/11 = 0.\nAnswer: -2529, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5213476 = 3*i + 4*w, 0 = -4*i + 2*w + 5213464. Let c = -17614 - i. Let j = -700981 - c. What is j rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -409 + 414. Suppose 4*d - 3*y = 61 + 72, -4*y + 143 = q*d. What is the remainder when 92 is divided by d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 34 = 3*h. Let x = h + -5. Let w be x\/30*(4 + 1). Solve -3 = -v + 2*z + 3, z = v - w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 - (-19)\/(-7). Let v = m - -7. Let g = v + -1. Solve d - 5*w - 10 = -g*w, d = -w - 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a827 (base 13) in base 8?\nAnswer: -55473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5671 * 0.2.\nAnswer: -1134.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3298*t + 1062*t**3 - 2508*t + 12793*t - 4049*t wrt t.\nAnswer: 6372*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2207 = w + o, 0 = 4*w + o - 8816. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Are m and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034118619 to the power of 1\/2, to the nearest integer?\nAnswer: 32158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 732?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6623 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-3)\/(6*(-12)\/(-108))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32, 28, 34, 56, 100, 172, 278?\n\"Answer: o**3 - o**2 - 8*o + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 5*k + 9. Let x(m) = -2*m - 4. Suppose 4*o - 5*q = -3, 4*o + q = 2*q - 7. Calculate o*c(u) - 5*x(u).\nAnswer: 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5413046 and 314.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -48 + 37 + -27.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.4 - -6. Let q be (3\/(-33))\/(1\/2). What is the third biggest value in q, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 16, 3.5, 1\/2, 72, 0, -1\/7?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*n**4 + 5*n**4 - 7*n**4)*((-17 + 20*n + 17)*(0 + 7 + 2) + 1 - 5*n - 1).\nAnswer: -2275*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 - -79. Suppose t = -3*r + 19*r - 384. Suppose -10 = 29*o - r*o. Let h(c) = -5*c - 2. Let x(u) = 6*u + 2. Calculate o*x(d) - 3*h(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1349982*v - 14*v**2 - 1349981*v + 40*v**2 + 3 - 3.\nAnswer: 26*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**4\/6 - 143*a**2\/2 + 87*a - 3. Let g(v) = -2*v. Calculate g(i(h)).\nAnswer: -4*h**2 + 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42461 + -42461.09. Which is the nearest to z? (a) -146 (b) 1\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 3, -19 in increasing order.\nAnswer: -19, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -105, -84, -43, 24?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 + 42*a + 25. Let r be q(20). Let v = -11 + r. Let d = 301 - v. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -11, -2, -0.06 in descending order.\nAnswer: 4, -0.06, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 1. Suppose -7 - 9 = 4*g. Let k be q(g). Let p be 2\/(-2) + -2 - -3. Solve -m + p = 3*s - 11, k*m - 13 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dudnnngugnngddedunn. What is prob of sequence dd?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.5459401 to one decimal place.\nAnswer: 45.5","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(750)*-2)\/sqrt(6).\nAnswer: -10*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -6\/7 (c) -0.06 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9222*y**3 + 2 - 2 + 2294*y**3 + 2307*y**3 + 2310*y**3 + 2308*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**3 + 119 - 357 + 13*p**2 + 120 + 122 as z*p**2 + f*p + w + x*p**3 and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (4 - -8) - 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.17 times -0.5?\nAnswer: 0.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 209 = -135. Suppose i = 4*n + 19. Suppose 1060 = 11*j - n*j. Is j a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78812.\nAnswer: 2, 17, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*r - 81 = 0, -2*l + 3*r = 5*r - 54. Let d(t) = -l*t**2 + t - 27*t**2 + 8 - 4*t + t**3 + 60*t**2. List the prime factors of d(4).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 plus -312?\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-378)\/24)\/((-3)\/8). Suppose -4*t + 47 = -5*x - 31, -2*t + x = -m. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 232 - 230.83. Let d = -1.15 + i. Which is bigger: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(3\/14))\/a)\/(a*a**(-2)))\/((a*a**(2\/7)\/a*a)\/a**11) assuming a is positive.\nAnswer: a**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334610 is divided by 186.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-3)\/(6\/2)). Suppose 3*x - 13 = w + 96, 176 = s*x + 4*w. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8437 - 8437 + 2*z - 241*z**2 + 2*z**3 + 0*z**3 + z**3 in the form q*z**2 + s*z + y*z**3 + w and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 40*m - 252. Solve -8*t = -m*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 7. Let q(a) = 3*a**2 - 10*a - 6. What is the remainder when s is divided by q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 667 - 360. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2969, -3849, -4729, -5609?\nAnswer: -6489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1447.9 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s**2 + 23*s - 62. Calculate c(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 490 - 48 = 3*s, 3*y = 5*s - 785. Let x = s - 925\/6. Which is the smallest value? (a) -199 (b) 2\/15 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d + 14*d - 2*d - 7. Let w(p) = 17*p - 8. Let h(k) = 6*a(k) - 5*w(k). What are the prime factors of h(8)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Suppose -t*q - 2*q = 0. Do -3\/4 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 318 and -13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 1, o: 1}. Give prob of picking 2 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 3294.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 330564 + 3?\nAnswer: 330600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**6\/210 + g**5\/140 - g**4\/28 - 5*g**3\/42 - g**2\/7 + g. Solve o(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*c + 16 = 0, -9*l + 11*l = 2*c + 16. Suppose -5*o - 3*v + 4 = -51, -4*v = 3*o - 22. Suppose 0*m = -l*m + o. Solve 0*x = -m*x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.1*-140125.\nAnswer: 574512.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(13) + 0)*-1 - 2*sqrt(637) - ((-1*sqrt(468))**2 + 1*sqrt(1053)).\nAnswer: -468 - 23*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 32941263.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3051 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/12 - 3\/(-9). Let u be (-5)\/3 + (-27)\/(-9). Which is the biggest value? (a) y (b) -0.02 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -87*c**2\/2 + 6*c - 4. Let l be k(8). Calculate the smallest common multiple of 4 and l\/(-45) + (-2)\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 2414925028.\nAnswer: 26564175308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270908 and 36608?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*o - 3*o. Let y = o + 42. What are the prime factors of -14*(-3)\/y*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -167214731?\nAnswer: -3\/167214731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**3 + 3*o**2 + 11*o + 19. Calculate the remainder when a(-2) is divided by 63.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2343*v**2 + 12*v - 2. Is s(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 294*h - 18404. What is l(347)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 - 2*u**3 + 7*u**3 - 212.\nAnswer: -2*u**3 - 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + 2 + -8 + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-90)*9)\/((-5)\/44)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 + 41*u**2 - 10*u + 67. Is k(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2339? (a) 0.1 (b) 12 (c) -1.9 (d) 2\/9 (e) 1 (f) 30\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -28. Suppose -5*b = 3*h + 5, -b - 3*h + 3 = 2*b. Let t = b - y. Solve t = -2*i - i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -16. Let x = 7.74 + -7.74. What is the nearest to -0.1 in j, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 + 144*m**2\/7 + 600*m\/7 + 608\/7.\nAnswer: -2*(m - 76)*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 20*v - 116. Calculate c(-4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -8. Suppose -2*y + 17481 = 17451. Calculate the least common multiple of h and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(121)*2 - sqrt(121))*4*-4)\/(sqrt(99)\/(5*sqrt(9) + sqrt(9)) + sqrt(99)\/sqrt(9)*3).\nAnswer: 672*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + j. Let y be g(1). Let r(h) = h**3 + 4 - h**3 + 7*h**y - 2*h**3 - 6*h + h**3. Does 15 divide r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 27590*l**2 + 170805*l**2 - 5 + 0 + 2*l.\nAnswer: 198395*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -19. What is the second smallest value in 2, o, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46536 and 630?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*d = 73*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 6*v + 1. Let n be z(-7). Suppose 0 = 2*i - 4*i + n. Is 16 a factor of i\/(1\/8 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317268 is divided by 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16337745 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcwupcudwcwcccdwww. Give prob of picking 3 w.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6136 (base 7) in base 5?\nAnswer: 32014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71133 is divided by 1048?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*b + 65*b = -4. Suppose g = 4*z, -b*g = -6*g - 5*z + 21. Let j be ((-3)\/(-4))\/((-2)\/(-8)). Do g and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfmfmmdmxqfmqxqxxqq. What is prob of picking 1 x and 1 q?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -25\/6, 11, -0.4, -0.08836 in descending order.\nAnswer: 11, -0.08836, -0.4, -25\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 16*o**5\/15 - o**4\/24 - 2*o**3\/3 + 5*o. Let q(w) be the second derivative of d(w). Is q(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -79*l**6\/60 - 449*l**5\/60 - 17*l**2 + 10. What is the third derivative of q(f) wrt f?\nAnswer: -948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12036691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - -8 - (-1216)\/(-4). Let k = 303 + y. Let z(n) = n**3 - n**2 - 2*n. Let j be z(2). Solve v + 4 = 0, 5*f + j = -3*v + k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 6*g - 4. Let p be t(6). Let s(k) = -4*k**2 - 4*k - k**3 + 729 + k**2 - 731. Let m be s(p). What is the greatest common factor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/f**4))\/f*f**(-11))\/(f**(2\/19))**(-27) assuming f is positive.\nAnswer: f**(-79\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-8 + 9 - (2 - 24)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13\/90 + -5\/18. What is the second biggest value in f, 0, 6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 152 + 3?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 482021 divided by 11?\nAnswer: 482021\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w. Suppose -2*n = 3*x - 2, n - 4*x - 14 = -2. Suppose -2 - n = -2*d. Let t(o) = d*o**2 - o**2 - o**2. What is y(t(a))?\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m**2 - m**3 - 20 - 2*m**3 + 4*m**3 + 3*m - 5*m. Let q be r(9). Let l = 47 - q. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, -37, -1.\nAnswer: -122, -37, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73229 is divided by 61?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045546907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 0*i + 0*i)*(-22*i**2 + 10*i**2 + 8*i**2) + (3*i**2 - i**2 + 0*i**2)*(0 + 0 + i) in the form f*i**3 + x + n*i + p*i**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 436.0792 + -0.0792. Let m = -457.586 - -17.966. Let v = h + m. What is v rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*w = 5 + 23, 4*w - 2 = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*i + 3*i + 15, 5*i + 25 = 3*m. Suppose -4*r + 8 = -m, -5*k - 3*r = -46. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026118 to 6 dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-410 + 277 - 680 - 281)*(45*w - 45*w - 12*w**2) to d*w + r + o*w**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**2 + 6*u - 3. Let w(n) = -15*n**2 - 17*n + 9. Let h(j) = 17*f(j) + 6*w(j). Find the first derivative of h(t) wrt t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2536 and 620?\nAnswer: 393080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 times 415?\nAnswer: 54365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -76*o**2 - 4*o - 2. What is z(-1)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84632.\nAnswer: 2, 71, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 808\/32)\/(7\/10).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 30*n - 199. What is d(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from xllxxl.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 37282200.\nAnswer: 3728220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 484*o + 20379. What is p(-36)?\nAnswer: 2955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1013628 and 3003.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a microsecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736040 is divided by 996?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-9) - 170\/(-45). Let p(q) = -q**3 + 3*q**2 + 4*q + 5. Give p(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 9*j + 6. Let c be w(-6). Let n be c*(2 + -1)\/2. What is the second biggest value in -4, 2\/5, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 3*j - 3. What is k(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - -1)\/(1\/(-61)). Suppose 534*d - 833*d + 72956 = 0. Calculate the greatest common factor of r and d.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(z**(-1\/2)\/z*z))*z\/(z*z**(2\/3)*z))\/(z**2*z*z**(-5)) assuming z is positive.\nAnswer: z**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**7\/1260 + p**6\/240 - p**5\/12 - 6*p**2. Let h(s) be the third derivative of a(s). What is the units digit of h(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 6. Let o be h(-11). Suppose 0 = v - o + 1. Is 2\/v*43*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*a + 0 = -12, 0 = 5*z - 2*a - 29. Solve z*v = 5*u - 25, 11 + 5 = 4*v + 5*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 - 105*r**2 + 2*r**3 + r**4 + 101*r**2 - 1 to the form s + p*r**4 + f*r**2 + w*r**3 + c*r and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*c - 115 = 0, -4*v - 4*c - 460 = -9*c. Let s be (-15)\/(-18) - v\/(-30). Suppose -2*b = b + 3. Put b, 1, s in ascending order.\nAnswer: s, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51863307 a multiple of 4670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 2, o: 2, v: 4}. Give prob of picking 2 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*q**2 + 69*q**2 + 2*q**4 + 2*q**3 - 2*q - 19*q**2 + 2 - 28*q**2 in the form r*q**4 + g*q**3 + w*q**2 + l*q + j and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.99 + -0.69. Let w(o) = o**2 + 5*o + 2. Let s be w(-4). Let i = 5\/8 - -7\/8. Which is the third biggest value? (a) i (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 - 4192*s + 15 + 4187*s)*(-4*s - 11 + 11).\nAnswer: 20*s**2 + 216*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 87\/5? (a) 4 (b) 12 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1275*x**2 - 652.\nAnswer: 2550*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 32, 0.1, 2, -1.53, -407?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 72e - cb1?\nAnswer: -583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -924, -2074, -3696, -5796?\nAnswer: -8380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -437107 divided by -11\nAnswer: 39737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, z: 2, g: 2}. Give prob of sequence uz.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1695593 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80784 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1762?\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-12)\/(-12))\/(((-5)\/(-2697))\/5) is divided by 225.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-32) - (-1068)\/96. What are the prime factors of w - (-28068)\/36 - (-2)\/6?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8670 is divided by 271?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 3:21 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142292 is divided by 1142.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(72) + (sqrt(72) + sqrt(72) + -1)*5 - (sqrt(192)\/(sqrt(30)\/sqrt(5)) + 0)) + 3)**2.\nAnswer: -992*sqrt(2) + 30768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3*j**2 + 8*j**2 - 7 - 8*j**2 to the form t*j + b*j**2 + z and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -174, -347, -522, -699, -878, -1059?\n\"Answer: -k**2 - 170*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**23\/o)\/o)**48\/((o\/o**(-4\/25))\/(o\/(o\/(o\/((o*o*o\/(o*o**(34\/5)))\/o))))) assuming o is positive.\nAnswer: o**(25341\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -192 (base 12) to base 5.\nAnswer: -2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 - 475 = 51*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(38)\/(sqrt(2) - sqrt(2)*2) - ((sqrt(19) - sqrt(76)) + -5)) + (5 + sqrt(19)*2 - (sqrt(95)*-2)\/sqrt(5)))**2.\nAnswer: 80*sqrt(19) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4117\/7 + 596. Let r = 199\/28 - m. Let j = 200 + -202. Which is the nearest to j? (a) -1\/6 (b) 2\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*b + 51*b + 27*b + 40*b + 36*b - 182*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 23 = -2*a, d = -a + 93 - 97 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k + 77 = 25*k. Suppose -3*u = 4*h - 16, -3*u + k + 6 = 5*h. Solve 3*z - 19 = 2*m, z - 4*m - 9 - u = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-10)*i)\/i*i**(3\/11)*(i\/(i\/(i*i**(3\/8)\/i)))\/(i*i\/(i*i\/(i*i**(-1\/10)))*i*i) assuming i is positive.\nAnswer: i**(3849\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -328, 114, 568, 1040, 1536, 2062?\nAnswer: 2624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7636 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9\/3386 + -158228\/25395. Let m = -463\/150 + 23\/30. Calculate the common denominator of m and w.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15689 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 137865 to the power of 1\/2, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 787 + 12*b**3 + b**3 - 14*b**3.\nAnswer: -b**3 + 787","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*b + 4. What is the smallest value in -2\/7, b, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -9. Suppose -d*v + 364 = -4*z - v, -4*z - 4*v = 364. Let h = 166 - z. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -0.3?\nAnswer: -23.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 3:29 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 178 + -26. What is the greatest common divisor of 57 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -11. Calculate the common denominator of -34\/7 and (1 - 67\/10) + u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 103, 168, 233, 298, 363, 428?\n\"Answer: 65*f + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - y - 6 + 2 - 176*y + 2*y + 25*y + (-4 + 1 + 4)*(-2*y + 3*y + 0*y) - y + 0*y + 4*y + y + 2*y + 0*y to c + w*y and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5060 = 9*c - 223. What are the prime factors of c?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -16) + -2 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 20*g**2 + 8*g + 5. Let k(i) = -7*i**2 - 3*i - 2. Let x(m) = -17*k(m) - 6*s(m). Let z be x(4). Suppose -2*t + 12 = -z*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 164*n + 92*n - 98*n + (-3 + 3 + n)*(-2 - 4 + 5).\nAnswer: 157*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20641 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -152845, -152847, -152849, -152851?\n\"Answer: -2*v - 152843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 2*w**2 + 3*w - 5*w + w + 1 + 9*w**3. What is the units digit of a(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + (-5 - -3) + -1. Let g(w) be the first derivative of -1 + 0*w**2 + x*w**2 + 3*w + 2. What is the derivative of g(t) wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v + 240 = -4*z, 4*z = -8. Let f = 145 - v. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 16*v**2 - 29*v - 14. Let x be l(-14). Solve -4*h - q - 3*q - 40 = x, -2*h + 3*q + 5 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 597, 3, -3\/5, -11707?\nAnswer: -11707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 12 + (2 - 0) + 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2429570053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - 0) + -22 + 11 + -10 + -9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22228 and 9985929?\nAnswer: 5557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/(54 - 55).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3922 - 2483. Let s = u - 990. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y + 329. Let d(t) = t. Calculate s(d(w)).\nAnswer: 2*w + 329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 885680 and 298308095?\nAnswer: 4772929520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**7\/6 - 7*n**3\/6 - 16*n. Find the second derivative of a(z) wrt z.\nAnswer: -140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-48))\/((-168)\/(-12096)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/8, 1139, 5183 in decreasing order.\nAnswer: 5183, 1139, 1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.83 and -58.\nAnswer: 628.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 726, 1471, 2216?\nAnswer: 2961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 + (8521 - 8580).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41602 and 434.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 0, -5*u - 15*m - 34*m - 18*m = 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25265 and 27435.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 865 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 12*n**2 - 52*n - 34. Calculate q(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2400 and 101\/2383584?\nAnswer: 59589600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*a**2 + 1187 + 60*a - 297 - 34*a - 458 wrt a.\nAnswer: 14*a + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 124*p - 30. Let d be z(7). Suppose 667 + d = 5*k. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*j = -14, -4*f - 2*j - 3*j = 22. Suppose -8*n + 1 = -3*n + 4*r, 0 = -2*n + 4*r - 22. What are the prime factors of f\/n + (-6)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9538 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 46\/((-1104)\/(-36))*(-10)\/(-9)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4124, -17158, -38822, -69110, -108016, -155534, -211658, -276382?\nAnswer: -349700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/1721 (b) -376 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 3 - 3)*(-1 - 1 + 1) - 1 + 1 + 2)*(-2*u**2 - 2*u**2 + 6*u**2).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9086491, 9086482, 9086459, 9086416, 9086347, 9086246, 9086107?\n\"Answer: -i**3 - i**2 + i + 9086492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 582501275?\nAnswer: -582501281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11 - k + 0*k + 0*k - 5*k. Let z(u) = 2*u + 4. Let a(h) = 6*m(h) + 17*z(h). Differentiate a(p) with respect to p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eunu when four letters picked without replacement from {f: 2, u: 7, w: 2, e: 4, b: 1, n: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 2*m**2 + 4*m + 1. Let g be 1\/(-8) + 14\/112. Calculate the remainder when 4 is divided by f(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*g = -19*g - 1120 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 148. Calculate s(127).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/28*23352\/(-556)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f - 938300*f**2 + 936964*f**2 + 15*f.\nAnswer: -1336*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113612398 is divided by 2736?\nAnswer: 2734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2945490 and 2585.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14589666 is divided by 4863173.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {o: 1, p: 1, g: 1, m: 6}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*y + 6*w - 3*w, 0 = y - 2*w. Suppose 3*a = s - 22, -4*s + 0*a = -a - 77. Solve -7 = -y*t - s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -109*t. Let s(z) = 96*z. What is s(w(d))?\nAnswer: -10464*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.8 - 0.2. Let d = h + 14. Let j = 0.05 - 5.05. Which is the closest to -1\/4? (a) d (b) j (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/(-16)*(-13 - (-86)\/6). Let d(u) = u**3 - 9*u**2 + 11*u - 4. Calculate d(g).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 9*m + 8, -2*m - 224 = -4*h. List the prime factors of h.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160902 is divided by 86.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -94 (b) 31 (c) -1332\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 19*m**2 - 7*m. Let l(f) = 6*f**2 - 5*f**2 - 3*f**2 - 6*f**2 + 3*f. Let p(g) = 6*a(g) + 14*l(g). Let c(d) = 16*d. Give p(c(w)).\nAnswer: 512*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 d when three letters picked without replacement from {m: 2, z: 1, d: 6, s: 7, q: 2, k: 1}.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**7\/1260 - h**6\/45 + h**5\/5 + 14*h**3\/3 + 55*h. Let o(n) be the second derivative of y(n). Factor o(r).\nAnswer: 2*r*(r - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*t = 94*t - 42 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 + 83.63. Let x = y - -0.36999828. Round x to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.7952414 to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130161?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/2 - 3\/1. Let d = 5 + h. Solve 12 = -d*k - 4*l, -4*k - 17 = k - 3*l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 10*t**2 - 3229*t + 16269. What is g(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1648911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -37. Suppose 0 = -f*i + 23 + 22. Solve z - 3*l - 14 = 0, -i*l - 30 = -3*z - 0*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(119)\/sqrt(252) + 2.\nAnswer: sqrt(17)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*h = -2*f - 2, 5*h - 24 = -4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/2*(-3)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fggggfz. What is prob of picking 3 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 + 124*i + 416. Let u(j) = -6*j**2 + 373*j + 1254. Let d(m) = -17*k(m) + 6*u(m). What is the derivative of d(y) wrt y?\nAnswer: -4*y + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5))**8)**(-8\/5) assuming l is positive.\nAnswer: l**(-128\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 10*k + 3*x - 15 = 0, 4*k = 2*x - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -45, -55, -65, -75?\n\"Answer: -10*o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -195046.\nAnswer: -195048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5 - 1. Solve l*q - 2 + 8 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 691, 1620, 3177, 5368, 8199, 11676, 15805, 20592?\n\"Answer: q**3 + 308*q**2 - 2*q + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 12) in base 2?\nAnswer: 1001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-3))\/((-3)\/(-9)). Let h(f) = -f**3 - f**2 + 3*f - 3. Calculate the least common multiple of p - 94\/(-8) - 4\/(-16) and h(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 - 562541*i\/2 + 2531475.\nAnswer: -(i - 9)*(i + 562550)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 2\/21, 0, -0.184, -2\/9, 18 in decreasing order.\nAnswer: 18, 2\/3, 2\/21, 0, -0.184, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-5) - (-1)\/20?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 0*l + 3*l**2 - 1\/18*l**4 + 0 + 1\/1080*l**6 - 1\/3*l**3 + 0*l**5. Let u(y) be the first derivative of n(y). Solve u(b) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 33 = 3*u, -5*u + 27 = -5*g - 58. What is the units digit of (-4)\/g + 36\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 5*k + 3*k + 2*k. Let a be 6\/(3\/((-3)\/(-2))). Let n(r) = -3*r + 0*r - a*r + 4*r. Determine n(x(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 8 = -5*i + 13, i + 5*w - 1 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*w - 315 = 3*s, -3*s - 2*w = -889. List the prime factors of s.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, d: 4, m: 5}. Give prob of picking 1 d and 3 m.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1463 + 11542 = 3*r + 2*n, 2*r - 2*n - 6716 = 0. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -9, -122 in decreasing order.\nAnswer: 34, -9, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 66263925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13 - (-5 + (-1 - -4)). Let a = l - -17. Suppose 45*k - 225*k = -360. Solve -k*n + 8 = -a*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(-2)\/4*1. Suppose -3*w + s*q = -3, -w = -2*q - 1 + 3. Suppose -8 = -3*n - w*p, 5*n = 3*n - 2*p + 6. Solve 0 = n*d + d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348908.\nAnswer: 2, 7, 17, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*b - 7 + 7)*(-1 + 4 - 4)*(-5 - 1 - 1).\nAnswer: 70*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -8 - (-441)\/(-28))\/((35\/(-64))\/(-7)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -2 - 2 - (-17 + 17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(14728\/420 - 35) - 3062\/30.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.652122 millennia to years.\nAnswer: 3652.122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.9 - 20.4. Which is the smallest value? (a) 1 (b) i (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2 - 493*y - 7683. Give j(137).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152 - 134. Calculate the remainder when -33*(0 + 1)*-1 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/10*-2*(-100)\/(-60)*-30\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/13 - 1432*o + 10140774\/13.\nAnswer: 2*(o - 8727)*(o - 581)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0787 - 22?\nAnswer: -21.9213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**3 - 2*z**2 + 10*z - 5. Let y(g) = g - 1. Let v(q) = u(q) - 3*y(q). Suppose v(w) = 0. Calculate w.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -603 - 2?\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.064 in 2\/17, -12.4, 35, 2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.456 less than 0.5?\nAnswer: 115.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -3554445?\nAnswer: -3554445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-10)*(-21)\/(1008\/120).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -14. Let t be 3 + ((-4)\/16)\/(3\/(-24)). Suppose t*x = 20 + 10. Calculate the greatest common factor of x and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 18*o - o**2 + 28 - 1 + 2*o**2. Let t(v) = v**3 - 11*v**2 + 25*v + 12. Let c be t(6). Is 5 a factor of a(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 42\/107185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1742, -1631, -1328, -737, 238, 1693, 3724?\nAnswer: 6427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and (-5)\/3*(5 - 70\/2)?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 1. Let a be i(0). Let v(b) = -3*b**3 - 6*b. Let q(x) = 3*x + 8. Let c(n) = -n - 3. Let y(f) = -8*c(f) - 3*q(f). What is a*v(j) + 6*y(j)?\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgghgggihighghihgh. Give prob of sequence hii.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10227.\nAnswer: 3, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 4*p - 1. Let g(d) = -2*d**2 - 18*d - 6. Let c be g(-9). Let v be (-48)\/18*c\/(-4). Let t(w) = w**2 - 4*w - 1. What is v*j(f) + 5*t(f)?\nAnswer: f**2 - 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/2 - f**3\/2 - 15*f**2\/2 + 9*f\/2 + 27.\nAnswer: (f - 3)**2*(f + 2)*(f + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbmbbmbmmbm. What is prob of sequence mm?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1702889*n**5 - 41*n**4 - 102336583*n**2 wrt n?\nAnswer: -102173340*n**2 - 984*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -83, -122, -161, -200?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 440\/55 - 212\/26\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009439625 to seven dps.\nAnswer: 0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75196.692 - -75057. Let w = -140 - n. Let u = -0.9 - w. Round u to 2 dps.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*r = -64*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 2 - 6*x - 3\/20*x**5 + 0*x**2 - 3\/16*x**4 + 1\/8*x**3. Let t(s) be the first derivative of h(s). Find w such that t(w) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 - 64. Let z = f - 36. Suppose -3*j = -j + 4, 0 = 4*t + 5*j - 138. Calculate the remainder when t is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 13*v**3 + 3*v**3 - 4*v**2.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + c + 0*c)*(1 - 4 + 2) + (-2*c - 4*c + 4*c)*(311 - 143 + 272) + (2*c + 2 - 1 - 2)*(3 + 1 - 3).\nAnswer: -880*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1243652 + -4?\nAnswer: 1243646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-3)*6\/(-2). Suppose 6*f + 5*z = r*f + 185, -97 = -f - z. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**3 + 27*p**2 - 6232*p + 31112. Calculate k(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 462*p**6 - 139*p**2?\nAnswer: 55440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-405)\/180)\/((-6)\/(-16)*-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-6)\/(-5) + -1). Let n be 14\/(-35) - 81\/(-15). Sort u, n, 3.\nAnswer: u, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 0*t**2 - 2 + t - 1\/3*t**3. Let k be u(2). Sort k, -2, 3 in ascending order.\nAnswer: k, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34275312?\nAnswer: 2, 3, 53, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1728, 3335, 4940, 6549, 8168, 9803, 11460, 13145?\n\"Answer: g**3 - 7*g**2 + 1621*g + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**4\/4 + 8*o**3\/3 + o**2\/2 - 11*o - 8. Is i(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.456 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(3\/8)))\/(m\/m**(-15)))\/(m**5\/m)**(-38) assuming m is positive.\nAnswer: m**(1085\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*((0 - -11) + -1). Let m be (-33)\/44*g\/6. What is the third smallest value in 3, m, 3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56578*i**3 + 16*i**2 + 44661161*i?\nAnswer: 339468*i + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 1536?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*q**3 + 9480*q**2 + 2*q + 13454255 with respect to q.\nAnswer: 201*q**2 + 18960*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0056622891 rounded to six decimal places?\nAnswer: 0.005662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 3\/40, 10, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/150*(4 + (-7)\/(-70)*-4*19). Let u be 4\/6 + (-5)\/3. Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (441\/(-1225))\/((-3)\/10)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-376)\/(-12)*(5 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000966 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -30432 divided by 16\nAnswer: -1902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*d - 13. Suppose 5*b + 436818 = -d*x - 813178, -3*b = 5*x + 749995. What is b rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -7 + -2 + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4*q - 2*q**2 + 59*q**4 - 6*q - 58*q**4 to v*q + t*q**3 + o + z*q**4 + p*q**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 1:13 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 427 - 419. Solve l*s + 20 - 60 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 2\/((-2)\/(-3)). Let i(n) be the first derivative of -10*n**4 - 5*n**3\/3 - 2*n**2 - 4*n + 3. Is i(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 - 6*y + 5*y + y**2 + y wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609786 to the power of 1\/2, to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 0.4 (c) -3.19 (d) -16 (e) -2\/21 (f) -2\/5 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -117 in -3, -2\/9, 2, -0.311?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + j + 448 = 0. Let n be -3*(24\/(-9) - 2). Calculate the highest common factor of j and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 580 - 557 - (-9 - 36).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i**2. Let j(v) = 189*v - 480*v + 172*v. Give j(l(n)).\nAnswer: 714*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5713*-1.\nAnswer: -5713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20689\/48 + -431. Let s(d) be the second derivative of 0*d**2 - d + 1\/80*d**5 + 0 + 0*d**3 - r*d**4. Suppose s(t) = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1360 and 782?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*k - 0. Suppose r - k*r = 0. Suppose 56 = -26*t + 33*t. Solve 5*s + 4 = 3*x - 12, -3*x + s + t = r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*b - 2*f - 17, 4*f = -5*b - 21. What is the tens digit of 2 + b - -98 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4174 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 72\/(-7) + 4\/14. Let k = b - 0. Let m be 4\/(-12) - k\/3. What is the nearest to m in -0.5, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 612 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 0*r**2 + 3*r**3)*(-3*r**2 + 5*r**2 - r**2)*((-1 + 0 + 0)*(0 + 3 - 2) + 0 + 2 - 4 - 4 + 14 + 1 - 2 - 1 + 5).\nAnswer: 30*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z**2 + z**2 - 6*z**2)*(-32 - 28 + 41)*(5*z + 3*z + 3*z)*(3 - 1 + 3) as l*z + v*z**2 + m + r*z**3 and give r.\nAnswer: 1045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 180853, 183347, 185841, 188335?\n\"Answer: 2494*h + 178359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -684*h**2 + 2796*h**2 - 747*h**2 - 686*h**2 - 692*h**2 + 8*h.\nAnswer: -13*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 36*r - 6*u - 727, -4*u = r + 3 - 0 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 7:53 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172454173 + 132*h - 543*h - 172454172.\nAnswer: -411*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 - 249*a - 458. Calculate o(-82).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*g - 16*g - 8*g)*(3*g + g - 2*g) + (16*g - 21*g - 20*g)*(10*g - g - 6*g) as m + x*g + d*g**2 and give d.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2163, -3111, -4083, -5073, -6075, -7083, -8091, -9093?\nAnswer: -10083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.69478 to the nearest integer.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 38. Suppose 2*x + 44 = -r*n, 5*n + 1 - 11 = x. Let d = x + 23. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*r + 589, -4*r + 0*r - a + 470 = 0. Let b be -2 + (3\/(-4) - r\/36). Let u(t) = -t**2 - 3*t + 7. Determine u(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2839*x + 295. Is s(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**5 - l**4 + l**3 + l. Let f(k) = 14*k**5 - 11*k**4 + 11*k**3 - k**2 + 11*k. Let y(q) = 2*f(q) - 22*h(q). Find the third derivative of y(g) wrt g.\nAnswer: 360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001498576 to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 169420*a**4 + a**2*w**2 + 408500*w**2 wrt a?\nAnswer: 677680*a**3 + 2*a*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/44172 and 73\/396.\nAnswer: 485892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*n - 16*n - 6*n + (14 + 152 + 32)*(-3 + 2*n + 3) as c*n + k and give c.\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 179 = -19. Let d = f - -37. Solve d*n = -0 + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/11 > -131\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b - 41. Let d be m(-15). Determine t so that -d*t**3 + 243*t - 45*t + 116*t**2 - 26 + 150 + 46*t = 0.\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(-14)\/(-385)*(32 - -1)*-1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/748 - (-4 - -5)*131\/(-68)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 - 4 - 5 + 3*u.\nAnswer: 3*u - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3262010*c = 3262032*c - 1496 for c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -270, -533, -792, -1047?\n\"Answer: 2*x**2 - 269*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 234121188 equal to 234121188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**3 - 4738*s**2 + 489*s + 513798 wrt s.\nAnswer: 3*s**2 - 9476*s + 489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89 (base 13) to base 15.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 + 7*d - 9. Let k(v) = -5*v**2 + 7*v - 10. Let b be ((-2)\/2)\/(1\/(-4)). Let s(n) = b*p(n) - 3*k(n). What is the units digit of s(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3193577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -203 + 207. Suppose 14 = 6*i - l. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 87, 333, 733, 1281, 1971, 2797, 3753, 4833?\n\"Answer: -r**3 + 83*r**2 + 4*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((5 + sqrt(200)*1)*6 - (sqrt(200) + 2*(-1 + sqrt(200)) + -2)**2)*5)*-5.\nAnswer: -7500*sqrt(2) + 44655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -0.5 (c) -3\/5 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*j**3 - 5*j**3 - 3*j**2 - 9*j**3 + 5*j**3 wrt j.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 96*x. Let g(z) = -29627*z**2. Determine h(g(f)).\nAnswer: 1755518258*f**4 - 2844192*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 24, 62, 128, 228, 368?\n\"Answer: a**3 + 5*a**2 - 6*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -51*t + 54*t. Is 66 + t + (-10 - -11) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -74529\/2 + 273*a - 273*a**3 + 1\/2*a**4 + 37264*a**2.\nAnswer: (a - 273)**2*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 782 - 544. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i + 41 = -25 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8764 minus 0.127?\nAnswer: -8764.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 63, 68, 75, 84?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 675 (base 9) to base 16\nAnswer: 22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 7:28 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -325.1 + 325. Which is the closest to x? (a) 1\/5 (b) -15 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 1. Let s(d) = 3*d**2 - 10*d + 14. Let w(o) = 2*q(o) - s(o). Let p(c) = c**2 + 4*c - 4. Let f be p(-6). What are the prime factors of w(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13 + 3)\/((-4)\/2). Let l = 0 + y. Suppose 52 = l*j + 3*p, 3*j + 3*p = -p + 29. Solve 0 = -i + 4*u - j, 3*i + 0*u + u = 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.418272382 less than -1164?\nAnswer: -1270.418272382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0*h**(-1\/7)*h)\/(h\/(h\/(((h\/((h**1\/h)\/h))\/h)\/h)))**(-1\/16))**(-3\/25) assuming h is positive.\nAnswer: h**(-18\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2835) + sqrt(35))\/sqrt(7) + -5 + sqrt(15)\/(sqrt(108)*-6).\nAnswer: -5 + 359*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 + 201*b**3 - 102*b**3 + 33 - 100*b**3 in the form z*b**3 + n*b + o + a*b**2 and give o.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3015 = 5*n - 5*g - 1680, g = -2*n + 1869. List the prime factors of n.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.954 + 4.046. Let i = -72\/5 + 73\/5. What is the third biggest value in i, 29, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.3 - -55.3. Let j = 46.0000053 - q. Round j to seven dps.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519772514 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 6. Let l be i(-4). Suppose -4950 = -0*b - 6*b. Suppose -l*z - 3*z = -b. What is the highest common divisor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322 = -4*a + 830. Let o(r) = 26*r**2 - r - 1. What is the remainder when a is divided by o(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -41057\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 30*t = 72. Let u(l) = 24*l + 70. List the prime factors of u(t).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 45. Let m be ((-6)\/8)\/(2 + 75\/(-40)). Let a = m + h. Solve 0 = 3*b + a, -7 = 3*v - 3*b + 4*b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21184 and 993?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x - x + 4*x**3 - 3*x**3 - 344.\nAnswer: x**3 - x - 344","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 1. Let w(r) be the third derivative of -r**4\/4 + 2*r**3 - 2*r**2 - 33. Calculate -12*l(n) + w(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 7*c**2 - 5*c + 9. Let x be i(-8). Let b = x + 18. What is the third biggest value in -4, b, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086596 is divided by 217316?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15955461?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336269?\nAnswer: 3, 11, 40493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x - 29. Let g be m(-5). What is the common denominator of ((-4)\/g - 72)*(-1)\/(-16) and -55\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Let y = 7 - v. Solve 4*i = -i - y*k - 25, -2*k = -4*i - 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 1888*o + 3518. Is f(8) a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -28*h - 4. Let d be y(-3). Suppose 2*f + 32 = 4*x, 2*f + d = -3*f + 5*x. Let j = 27 + f. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**4 - 3*h**4 + 2*h**4 + (-2*h**2 + h**2 + 2*h**2)*(6*h**2 - 4*h**2 - h**2) + 4*h**4 + 31*h - 31*h.\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18290 and 440789.\nAnswer: 1829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4265883 divided by -19\nAnswer: 4265883\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40, 46, 52, 58, 64?\n\"Answer: 6*z + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.9763226 from -20.92749.\nAnswer: -25.9038126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -45. Suppose -37 = -2*k - 3*r - 2*r, 3*k + 5*r = 43. Calculate the least common multiple of v and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v + 0*v - 11*v + 6*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*1*sqrt(130) + (sqrt(130) - sqrt(130)*-2*-6))*-2)\/(2*(5*sqrt(10)*-2 - sqrt(10) - (sqrt(10) + sqrt(20)\/(sqrt(6)\/sqrt(3))))))**2.\nAnswer: 81\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71185536?\nAnswer: 2, 3, 61, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45*w - 42 + 42)*(-w**2 + 0*w**2 - w**2) to n*w**2 + r + b*w + s*w**3 and give s.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2193596917+-24.3\nAnswer: 2193596892.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, s: 3, p: 2}. What is prob of sequence sss?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -62.9 and -12.\nAnswer: 754.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188 by 337820.\nAnswer: 47\/84455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*c + 180, -5*f = -4*f - 3*c - 44. Suppose f*t = 10*t. Let w be 66\/14 + 10\/35. Solve -5*r = -t - w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 - 21835*p**3 + 1924650*p**2.\nAnswer: 5*p**2*(p - 4277)*(p - 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**2 + 2*t**2 - 1 + 0*t + 0*t + 10*t - 2*t**3 to the form s*t + i + w*t**3 + z*t**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75.7 + 552.7. Let h = w + -476.6. Sort -1, h, 5, 1\/15 in ascending order.\nAnswer: -1, 1\/15, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 0*b + 0*b**5 + 0*b**3 + 11\/6*b**6 + 0*b**4 - 4 + 2*b**2. What is the second derivative of r(x) wrt x?\nAnswer: 220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 8:50 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 5, -b + 7 = -2*q - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 6*s**2 - 3*s - 6. Let k = 8 - 14. Calculate the remainder when i(k) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2309.00027876 - 2309. Round j to six dps.\nAnswer: 0.000279","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55\/25802 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 48078?\nAnswer: -5\/48078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*j + 86*j - 31*j + (-j + 3*j + 0*j)*(-5 - 1 + 4) + 2*j + 5*j - 5*j + (0 - 2 + 0)*(-2 + 2 - j).\nAnswer: 81*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - i - 2. Let s(p) = 12*p**2 + 12*p - 6. Let t(m) = s(m) + 2*x(m). Let q(z) = -z**2 - z + 1. Calculate 10*q(v) + t(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*q + 2*x + 8 = 0, -3*x = -2*q + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*f**2 - 1246*f - 27084.\nAnswer: -2*(f + 183)*(3*f + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -126, -136, -152, -174, -202, -236, -276?\n\"Answer: -3*r**2 - r - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/54 of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4288 + -0.2288. Which is the second biggest value? (a) 323 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -2. Let i = 0.7 - y. Let b = 2.6 + 1.4. What is the nearest to 0 in -2, b, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**5\/120 - v**4\/12 + 8*v**2\/3 - 122*v. Factor d(n).\nAnswer: -(n - 2)*(n + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g - 1. Let m be (3 - 237\/33) + (-4)\/(-22). Let u be v(m). Is (10 - u)\/((-1)\/37) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8591033209 to the nearest integer?\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/27557959 and -17\/10021076.\nAnswer: 110231836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 7*k**2 + 5*k - 2. Let l be y(-6). Suppose -l*u + 98 = -54. Let g = u + -27. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.001 times -73.16\nAnswer: 0.07316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1. Suppose 0 = -28*k + 20*k - 16. Let o(l) = -1. Let j(r) = r + 6. Let m(t) = j(t) + o(t). Determine k*m(w) + 11*q(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 812459475 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: Calculate the highest common divisor of 14010 and 4335.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oposnnnng. Give prob of picking 1 n and 1 s.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhq when three letters picked without replacement from bhhqhqhhhhhhhbbhhq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 12*d. Let f be i(-6). Factor 2*u**4 - 1\/2*u**5 + 2*u**2 - 1\/2*u - 3*u**3 + f.\nAnswer: -u*(u - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v\/(v\/(v*v**(7\/8)))))\/v))\/(v*v**(-8\/9)) assuming v is positive.\nAnswer: v**(199\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**5\/20 + 5*m**4\/12 + 5*m**3\/6 - 2*m**2 + 55*m. Let x be w(-4). Calculate the greatest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1208 = -0*q - 4*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -95864137, -191728278, -287592421, -383456566, -479320713?\n\"Answer: -b**2 - 95864138*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4295 + 1673. Let r be (1\/22)\/(3\/u). Let h = r + 40. Is 1 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.7 and 114078.\nAnswer: 1334712.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 68051.14cm?\nAnswer: 680.5114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 68, 64, 50, 20, -32, -112, -226?\n\"Answer: -o**3 + o**2 + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v - 24*v + 60*v + 47*v.\nAnswer: 89*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11021210122001 (base 3) to base 13\nAnswer: 61a60b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkvi when four letters picked without replacement from ziiviiikzvzv?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -t + 3, 139*z - 137*z - 4*t = 16. Let d(h) = -4*h - 7. Let y(j) be the first derivative of j**2 + 4*j + 1. Determine z*d(o) + 5*y(o).\nAnswer: 2*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553*h + 540*h - 1095*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 2 + -15 + 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 298685965+-0.0026\nAnswer: 298685964.9974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = 2. Let h = -6 - -8. Suppose -i = h*i. Solve 1 = -r*f + 2*q + 5, i = 4*f + 2*q + 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2. Let h(p) = p + 913*p**2 + 0*p - 895*p**2 - 5*p. Calculate w(h(q)).\nAnswer: -972*q**4 + 432*q**3 - 48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554*m = 571*m - 10965. What is the remainder when m is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.127 times -1.55?\nAnswer: -0.19685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*i**2\/2 - 197*i\/6 + 5\/3.\nAnswer: (i - 5)*(39*i - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.263 - -1.737. Sort 0.3, u, 1\/5 in descending order.\nAnswer: u, 0.3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) -0.1 (c) 2\/5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15024 divided by 6?\nAnswer: 2504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -448*i**2 + 3018 + i + 3034 + 2*i**4 - 6054 to h*i**4 + k*i + u + c*i**2 + s*i**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-807653.\nAnswer: -24229.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 30 = -4*a, 5*a - 3*v + 4*v - 48 = 0. Let n be (6\/18)\/(3\/a). Solve 6 - n = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 11:35 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805 is divided by 211.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2 + a - a)*(0 - 8 + 0).\nAnswer: 8*a - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*b + 157*b + 330 = 3*u, -10 = u - 2*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/7 + 3982*j**3\/7 + 478164*j**2\/7 + 2182648*j + 28676240\/7 = 0. What is j?\nAnswer: -1865, -62, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Suppose a*p - 9 = -5. Find h, given that -5*h + p*h**2 + 11*h + 10 + 6*h = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6744955 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 157\/4. Let q = -1 - -1. Which is the nearest to q? (a) f (b) -2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o + 2 + 3*o + 4. Suppose -3*g + 2*j = 34, -5*g + 0*j = 3*j + 25. Let p = g + 25. Let f(q) = 14*q + 17. Give p*n(w) - 6*f(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 187396445.67 rounded to the nearest 1000000?\nAnswer: 187000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**4)\/n*n)\/(n**14*n))\/(n**(4\/11)*n*n**(-6)\/n))**(-3\/14) assuming n is positive.\nAnswer: n**(204\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 12:09 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 523, 528, 537, 550, 567, 588?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*j - 49 = -334. Put -170, -1, 1, j in increasing order.\nAnswer: -170, j, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 723616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -172 - -241. Let l = -39 + j. Let m = l + -29.9999834. What is m rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/5 + (-55726)\/19370\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/432*-6)\/(((-190)\/44)\/(-19))?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 12:11 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.405 - 0.2966. Let m = -0.7 - w. What is m rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1136.31032 rounded to the nearest 10?\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)*r)**(-1\/36)\/(r*r**11*r*(r*r**(-3)*r)\/r) assuming r is positive.\nAnswer: r**(-197\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(13*(-5)\/(-195)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*q + 17. Suppose 2*l - q = l. Suppose 4*d + 70 = -3*x + 722, l*x - 3*d = 463. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.98 + 0.02. Let t = 0.29 - -0.4. Let h = -0.99 + t. What is the closest to -4\/5 in u, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 100 (b) 52 (c) 3 (d) -161 (e) 2 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -9 + (60 - 75)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000947355 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 2*z + 4, -5*z = -3*f - 19 + 51 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -172\/5 + 34. What is the fourth biggest value in t, 4, 6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4298, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -562940 by 7.\nAnswer: -80420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpyp when four letters picked without replacement from {j: 2, p: 6, x: 6, y: 4}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98156.\nAnswer: 2, 53, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*v - 39 + 39)*(1 - 1 - 2) - 2 + 2 - 2*v in the form n + x*v and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w - w + 8*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 8) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/(-18))\/(3*(-84)\/54)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*w = 16. Let t = 14 + w. Let p(r) = -r - 28. Let n(k) = -2*k - 40. Let s(c) = -2*n(c) + 3*p(c). What is s(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + (sqrt(637) - (1*sqrt(637) + sqrt(637))))**2.\nAnswer: 42*sqrt(13) + 650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24695672 divided by -12347836.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - 0. Let j(v) = -v**2 - 8*v - 9. Let p be j(o). Let l = -12 - -14. What is the highest common factor of p and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 805 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -69705, -278813, -627321, -1115223, -1742513, -2509185, -3415233, -4460651?\n\"Answer: i**3 - 69706*i**2 + 3*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6896 - -6895.6. Put -5, -53, k, 2\/3 in decreasing order.\nAnswer: 2\/3, k, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -35. Suppose -67 = -4*q + j. Calculate the greatest common factor of 45 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07+-246643\nAnswer: -246643.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, k: 6, l: 3, s: 1, o: 1}. What is prob of picking 2 y, 1 s, and 1 k?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbgdf. What is prob of sequence gd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90101326?\nAnswer: 2, 7, 17, 347, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 155*s - 153*s + 14 = 0, -5*s + 2*s + 15 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2045494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*w + 679 = 0, -5*h - 2*w - 400 = -2126. What is the greatest common factor of 24 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmjmmmmjjzjmzjjmjzzm. Give prob of picking 3 m and 1 j.\nAnswer: 448\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 432*n**3*x**3 + 2*n**3*x - 1296*n**2*x**5 - 28*n**2 - 114702*n wrt x.\nAnswer: 2592*n**3*x - 25920*n**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 3*k**2 + 2*k**2 + 9*k**2.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399700?\nAnswer: 2, 5, 7, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -20233825\/13 greater than -1556447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2649205 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -52.3. Let g = 16 - n. Let w = -109 - -111. Which is the closest to w? (a) -0.4 (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*l - 425*l + 20 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.279 in 33, -15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 3*i**3 + 5*i**2 - 2*i**3 + (-3*i**2 + 3 - 3)*(-3*i + i - i).\nAnswer: 10*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2454, 4904, 7354, 9804?\nAnswer: 12254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v - 11*v - 2*v.\nAnswer: -23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*k - 2*k - 9, 13 = -g + 5*k. Let z(x) = -2 + 11 + x**3 + x + 0 - 13*x**g. What is the tens digit of z(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - v + 6. Let h be g(0). Let s(p) = p**3 - 5*p**2 - 5*p - 7. Let x be s(h). Which is the smallest value? (a) -5\/6 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*k**3 + 22*k**3 + 37*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26145 is divided by 374.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 56 + 61. Let d = -82 + n. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*c + 42 = 0, 2*u + 0*c - c = 51. Suppose -3*k - u + 36 = 0. Suppose 0*l - k*l = -20. What is the greatest common divisor of 10 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 4*m**3 + 10*m**4 - 3 - 9*m**4 + 0*m**4 as l*m + w*m**3 + h*m**4 + o + b*m**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*p + 0 + (-p + p + 2*p)*(-4 + 6 + 0) + 5*p + 0*p - 3*p - 2*p + p + 12 + 3*p.\nAnswer: 6*p + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 5*d**4\/12 + 11*d - 62. Let y(f) = -12*f. Let a(m) = -m. Let u(n) = 27*a(n) - 2*y(n). Give j(u(x)).\nAnswer: 45*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3230 (base 4) in base 10?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {s: 5, j: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f - 2 = -2*s, -2*s = 2*f - 14. Let q be (0 - 2\/39)*s. Let u = 5612\/37815 - 38\/2521. Which is the third biggest value? (a) u (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -742 - -741.7. Let b = -0.1 + 29.1. Let a = -29 + b. What is the biggest value in 0.1, 1\/6, a, g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + 1.98. Let s = l - -0.1. Let b = -2 + s. What is the second biggest value in 2, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v + 2. Let p be 0\/7*(-1)\/(-2). Let u(f) be the third derivative of 3*f**2 - 1\/2*f**3 - 1\/6*f**4 + p*f + 0. Determine -4*u(s) - 6*z(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Let d = -3.38254 - -2.75254. Sort 1\/11, 2\/3, r, d in decreasing order.\nAnswer: r, 2\/3, 1\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 59, 60, 39, -16, -117, -276?\n\"Answer: -2*x**3 + x**2 + 12*x + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - b - 2. Let u(l) = -2*l + 12. Let o be u(5). Let w be k(o). Suppose x - w*q - 15 = 0, 6*q - 5 = 5*q. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/5, -2\/7, -4, -46, 314, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 21. Suppose -2*h = x, -3*h = u*x + 13 + 12. Let m = x - -16. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021100100 + 12?\nAnswer: 2021100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -157*i + 1089. Let a be k(7). Let h(z) = -z - 10. Let t(r) = -2*r - 20. Let o(g) = 9*h(g) - 4*t(g). What is o(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131030 is divided by 684.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1080\/42)\/(1\/21). Suppose 0 = 23*c - 13*c - p. Which is greater: c or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -12 + 3*g + 12. Let c(i) be the second derivative of 0 + 1\/6*i**4 + 6*i + 0*i**2 + 0*i**3. Calculate c(v(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 65, -0.1519, -2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 - 2 + 2)*(c + 2*c - c) + 297*c**4 - 348*c**4 - 2*c - 509*c**4 - 2*c**4 - 3 + 0*c**4 + 1.\nAnswer: -558*c**4 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + (2 - 2))*1. Suppose 4*q + k = -15. Let m = 7 + q. Solve -4 = -x - m*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*g**3 - 90*g**3 + 2*g**2 - g**2 + 184*g**3 to the form d*g + c*g**2 + m + o*g**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2466, -84 in descending order.\nAnswer: -3, -84, -2466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*g**2 + 23 - 4 - 19.\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59657325?\nAnswer: 3, 5, 7, 13, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-14))\/(17\/119). What is the second derivative of -5*i**3 - i - 7*i + 3*i + 13*i**w wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 16*(-14)\/(-4). Let n be i\/12 - (-2)\/8. Suppose -n*o + q = -64, -4*q + 0*q + 44 = 5*o. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6553 (base 7) in base 14?\nAnswer: -bd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44 and (7\/(-8))\/(1*((-581)\/(-3))\/(-7))?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.67 + -43.74208. What is y rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 0.3, 15, 11\/3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 + 3*o**2 - 3*o + 3. Determine u(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 774.8238 micrograms to tonnes.\nAnswer: 0.0000000007748238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w - 17. Let p(a) = 7*a - 18. Let k(v) = -5*p(v) + 6*q(v). Give k(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 7*s**2 - 11*s + 8. Calculate r(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 25925*i - 25925*i + 1089*i**2 + 5109*i**2 in the form k + d*i**2 + o*i and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, h: 4, j: 3}. Give prob of picking 1 j, 1 f, and 2 h.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 18, y: 1}?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, j: 4, n: 5, o: 2}. What is prob of sequence co?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-2)*(-54027)\/26013\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 392 and 392?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*k**2*p**2 + 623*h**2*p**3 + 2*h*k**2*p**3 + 2*h*k*p**3 + h*k*p**2 + 106*p**3 wrt h?\nAnswer: 4*k**2*p**2 + 1246*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7841 (base 9) to base 16.\nAnswer: -169c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11 = 5*h - 6, 16 = h - 4*y. Let v(p) = -9*p - 5. Let g be v(-3). Suppose -66 + g = -4*k. What is the lowest common multiple of k and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)*j)**0*(j*j*j**(-1\/2))**(-38) assuming j is positive.\nAnswer: j**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - t**4 - 4*t**2)*(-11747 + 11115 + 5638).\nAnswer: -5006*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2, 2, 0.104 in descending order.\nAnswer: 2, 0.4, 0.104, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.909 and 0.1?\nAnswer: -0.1909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 7:12 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 3:26 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 i, and 1 u when four letters picked without replacement from ujxjxujjjixiux?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is (186\/3100)\/(6\/8)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -48*j - 21. Let l be f(-2). Let r(c) = -c**3 + 11*c**2 - 10*c + 11. Let a be r(10). Suppose -a*x - l = -12*x. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9487 to 2 dps.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*c - 40 = 0. Suppose -7*o = -3*o - c. Let s = -0.079 - -1.079. What is the nearest to s in o, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**3 - 4*s**3 + 2*s**3 + 198 - s**3 + 2*s**3 - 194 + (0*s + 0*s + 4*s**2)*(1 - 1 + 3*s).\nAnswer: 16*s**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is -51c0 (base 16) in base 4?\nAnswer: -11013000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28302 - -28341. Calculate the least common multiple of 27 and r.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67\/202 - 169\/404. What is the nearest to 0 in -325, 2\/15, -0.5, u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2 - 9*x + 4. Let t be p(2). Suppose 340 - 4 = t*j. Suppose -6*g = j - 1470. Does 31 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(-2\/5)*g))**(-22)\/((g*g\/(g\/g**(-6)))\/g**(-1)) assuming g is positive.\nAnswer: g**(-134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 9:24 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83903467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from cacccmcnn?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1947 is divided by 96.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-18) + 190\/45. Let h(l) = l**2 + 18*l - 14. Let m be h(-19). Suppose -j + q = 3*q - 15, t*j - m*q = 21. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0994047 rounded to four decimal places?\nAnswer: 0.0994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 4623?\nAnswer: 32361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187 - -315. Suppose 3*y = 5*z - p, 16 = -2*z + 5*y + 71. Suppose -z*f + 438 = -22*f. What are the prime factors of f?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 19. Let m(i) = i**2 + 2*i + 3. Let v be m(-3). Calculate the lowest common multiple of 9\/v*(8 + 0) and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 8*t + 2*t + (-1 - t + 1)*(3 + 0 - 2))*(3 + 2*t - 3).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490 = 9*y + 31. What is the remainder when 98 is divided by y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/4 + 3\/4 + 0. Suppose -5*c - 5*v - 25 = -3*c, n = 3*c + 3*v + 15. Which is greater: 2\/137 or c?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 201600 and 1072.\nAnswer: 13507200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44168003?\nAnswer: 11, 4015273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -108 (c) -2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 501, 1001, 1511, 2037, 2585, 3161?\nAnswer: 3771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxvrhvvhwwlx.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -4, -1, -2 in decreasing order.\nAnswer: -1, -2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(((-75)\/10)\/(3\/(-3)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438259 = 180*t + 439159 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 258829.1ml in litres?\nAnswer: 258.8291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3916 + 3916 - 111*k**2 + 2*k)*(-26*k**2 - 27*k**2 + 7*k**2).\nAnswer: 5106*k**4 - 92*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*x = -56 + 80, x - 48 = -a. Suppose a = 560*n - 556*n. What is the remainder when 12 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2989 - 2752. Calculate the highest common divisor of c and 1343.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 5*u + 30, -10*w = -8*w + u + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 903, -5, 863 in increasing order.\nAnswer: -5, -1, 863, 903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 397005?\nAnswer: 19056240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145963.\nAnswer: 145963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.13102865 rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -175, -226, -263, -280, -271, -230, -151, -28?\n\"Answer: a**3 + a**2 - 61*a - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)*a)**(-26\/7)\/(((a\/a**(4\/5))\/a)\/a*a*a\/a**(-1\/3)))**47 assuming a is positive.\nAnswer: a**(-376\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-9) + (-30)\/9. Let p = 0 - 1. Sort p, -3, j.\nAnswer: j, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -42*v**2 + 15*v - 15. Let b(k) = 6*k**2 - 2*k + 2. Let a(z) = -7*z**2 - 1932 - 21*z**2 - 4*z**3 + 1947. Let f be a(-7). Give f*b(w) + 2*t(w).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1778\/21277 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksh when three letters picked without replacement from {h: 2, s: 2, i: 1, k: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9577 minus 0.23?\nAnswer: -9577.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -2145.729\nAnswer: -4291.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 268294\nAnswer: 134147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7128, -7085, -7042, -6999, -6956, -6913?\n\"Answer: 43*a - 7171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10172.\nAnswer: 2, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -288275389.374 - 0.2?\nAnswer: -288275389.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12051 + 0.2.\nAnswer: 12051.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82787, 165034, 247281, 329528, 411775?\nAnswer: 494022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306 (base 7) to base 6.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, -4, -42, -84, -130, -180?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50 - -5?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24431489 is divided by 733?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 52. Suppose h*l = 11*l + 30. Suppose -7*y + 8 + l = 0. Which is bigger: y or 4\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1 + 0 + 0*m**2 - 4*m**2 + 3*m**2. Let t(k) = 3*k**2 - 2*k + 2. Let w = 5 - 6. Calculate w*t(d) - 2*i(d).\nAnswer: -d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.36 take away -66275?\nAnswer: 66301.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + -7 + -451 + 461?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 + 8*k - 115. Does 15 divide n(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.1 - -5. Which is smaller: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s - 1. Let n(d) = -2*d**2 + 12*d + 3. Let i be n(6). List the prime factors of g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -19, 6\/13, -2, -1\/19?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331031031 - 122?\nAnswer: -331031213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 157 and 5024?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 8*v**2 - 8*v + 22. Let z be j(-9). Let a = z - 11. Let t = 22 - a. Calculate the remainder when 37 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 18, -3221538 in decreasing order.\nAnswer: 18, -4, -3221538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21434 and -0.15.\nAnswer: -3215.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 6*i**2 + 14*i - 1. Let x(a) = 3*a. Let t(j) = -q(j) + 5*x(j). Determine t(7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/822958 and -57 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1560?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l + 1 - 1)*(40 - 20 + 60)*(0 - 3 + 5)*(73 - 140 + 71) to the form x + h*l and give h.\nAnswer: 1920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - s**2 - s + 3. Let j be f(0). Calculate the greatest common divisor of 6 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -124*v**2 + 241*v + 8. Calculate p(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17478 and 34987072.\nAnswer: 1942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -s - 3*s + 344, 0 = 2*s + 4*p - 182. Suppose -100*n - 35228 = -38528. Calculate the lowest common multiple of s and n.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -644, -639, -632, -623, -612, -599, -584?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in -4.3, 2, -0.7, -31?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 23*m + 165. What is the lowest common multiple of 15 and j(-21)?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*i = 274, -6*z + 15*z + 9*i = 7*z + 484 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27)\/4*4*-1. Suppose 0 = -3*w - 0*w + c. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c - j - 18, -4*j - 18 = -2*c. Suppose c*h + 462 = 10*h. What is the highest common factor of h and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48827 and 979680.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-19)\/((s**(-2\/5)*s*s)\/s))**(-17\/2))**32 assuming s is positive.\nAnswer: s**(26656\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.942464 + 2.44246344. Let b = a + -0.5. What is b rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17451*n**3 - 145*n**2 + 23*n + 2.\nAnswer: 104706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -323?\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8.4, -2 in ascending order.\nAnswer: -8.4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*j + 1 = 0, 5*n + 3*j - 28 = 4*j. Let v(o) = 2*o**2 - 7*o - 8. Let u be v(n). Solve 5*g = 18 + u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 34*p - 63. Let l be x(-31). Let k(u) = -48*u + 26. Let q be k(-8). Calculate the highest common factor of q and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drdr when four letters picked without replacement from rrdcrddccrrdrddrr.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47320.54 - 1097.54. Let t = -46222.9600056 + c. Let p = -0.04 + t. What is p rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 - j**4 + j**2 - j**4 - 4*j**4 + 4*j**4 + (5*j**2 - 5*j**2 + 2*j**2)*(20 - 3*j**2 - 20) - j**4 + 0 + 0.\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -105?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from kgkkkxmxxkgkgkxx.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40\/12*(-60)\/25. Put l, -3, -2 in decreasing order.\nAnswer: -2, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6396\/(-195) - -33 - 31\/205.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 199*(-1 + 69)\/4. Suppose -6*k - d = 3751. What is k rounded to the nearest 10?\nAnswer: -1190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19518 is divided by 3787.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/5 (b) -1\/9 (c) -1\/8 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = r + 556, 2*r + 1669 = -3*f - 0*f. Let u be (-21 - -22)*(3 + -2 + f). What are the prime factors of (24\/(-9))\/(-1 + u\/(-564))?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27712952*w - 55425993*w + 27712807*w.\nAnswer: -234*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 2 (b) 0.1 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -9. Let c = -18 - r. Are c and -8 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 + -43. What is the smallest common multiple of 14 and -2 + 0 + -7 + c?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-88)\/(-12))\/(2\/(-3)). Suppose -3*j - 31 = -2*t, j - 5*j - 3*t - 64 = 0. Let h = r - j. Solve -5*m = -3*m + h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4049988 = 3*a, 4*q + 4*a = 6*a + 5400008. Round q to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g - 16. Let s be q(5). Does -4 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 751*l - 2254. Is 15 a factor of m(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -1) + -2 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74676118 and 108619808?\nAnswer: 1194817888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*k = 150*k - 10*k - 6552. Let y(l) be the first derivative of k + 8\/5*l - 16\/5*l**2 - 2\/15*l**3 + 2\/5*l**4. Factor y(j).\nAnswer: 2*(j - 2)*(j + 2)*(4*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + -10)\/((-14)\/21). Solve 0 = r + 4*w + 5, 5*r - m*w + 10 = -23*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -8*m + 6. Let t be ((-50)\/75)\/(2\/(-18)). Determine d(t).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159498286733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 45*s - 14 + 14. Let w(v) = 3. Let j(u) = -4*u + 24. Let m(i) = j(i) - 8*w(i). Calculate z(m(d)).\nAnswer: -180*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 17*y**4\/12 - y**3\/3 + y**2 + 16*y. Does 11 divide c(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1780 divide 706494460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**7\/x)*x**(-1\/7)*x**(-3\/8)\/(x*x**6*x))**(-3\/5) assuming x is positive.\nAnswer: x**(2271\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/22)\/(10\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-12))\/((-5)\/98205)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 333, 4 in increasing order.\nAnswer: -93, 4, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = l - 4*c, 147 = -4*l + 3*c + 135 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 7:57 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 2.3, 70\/43?\nAnswer: 70\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 - 4*z**3 - 2*z**3 - 71*z**3 + 6220 - 6220 + (-z + z - z**2)*(4*z + 2*z - 4*z)*(3 - 3 - 5)*(2 + 6 - 3).\nAnswer: -27*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 2 + 8 + -3. Suppose 0 = 3*r + 4*h - 14, i = -5*r + 2*h + 9. Factor -4\/3*u + 10\/3*u**3 + 0 - 2*u**r.\nAnswer: 2*u*(u - 1)*(5*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.3 + -18. Let s = -0.03 - 3.97. Let j = -1.9 - 0.1. Sort h, j, s in increasing order.\nAnswer: s, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -105*v - 2758. Give p(-26).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 + 0*y**3 + 0*y**3 + (11*y**2 - 5*y + 18*y**2 - 27*y**2 + 3)*(36 - 36 + 2*y) to s*y**3 + z*y**2 + u + x*y and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 1:36 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4145.1 + -4428. What is p rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - (-1296)\/(-189) - (-22)\/(-7). Which is smaller: -25\/7 or d?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 57.2. Let v = 131 - 134.2. Let r = k - v. Which is the closest to r? (a) -2 (b) -0.11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 3, -3*n - 24*u = -23*u + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2086736 and 11152.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -67341, -67340, -67339, -67338, -67337?\n\"Answer: x - 67342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 696563487 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11\/29 + 179\/319. Determine f so that 2\/11*f**2 - o*f + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 23*a**2. Let h(w) = -42*w**2. Determine d(h(z)).\nAnswer: 40572*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 931, 1561, 2191, 2821?\nAnswer: 3451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 4*c**2 - 30 - 27.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/15 - (-3)\/(6930\/929). Let g = 313\/2310 - u. Let m = 0.03 + -0.03. What is the nearest to 1 in -5, m, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from tnnnznnntnttz?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12104 and 620432.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 10285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1615 = 4*u, -483*y - 3*u - 4818 = -486*y. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1193891 is divided by 1418.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**2 + 59*c**2 - 3*c**2.\nAnswer: 45*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(3) + 6*sqrt(12)\/sqrt(4)).\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -25. Suppose -4*b = -173 + l. Let v = b - 24. Calculate the highest common factor of 35 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1689*s + 220. Is l(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 2877 = -118*x. Do x and 25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4 - 626*y**3 + 644*y**2 + 5000*y - 7536 = 0. Calculate y.\nAnswer: -314, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 43. Let g be n(24). Let v(w) = -5*w**3 - 120*w**2 - 115*w. Let p(i) = -5*i**3 - 120*i**2 - 115*i. Let r(k) = g*p(k) + 6*v(k). Factor r(b).\nAnswer: -5*b*(b + 1)*(b + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 24, 12\/5.\nAnswer: -2, 12\/5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**5\/4 + 355*x**4\/12 - 695*x**3\/6 + 345*x**2\/2 - 2*x - 11. Factor h(l).\nAnswer: -5*(l - 69)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -112*y**4 - 612*y**3 + 3376*y**2 - 1668*y + 216 = 0.\nAnswer: -9, 1\/4, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**3 + 2*u**3 - 4*u**3)*(85 - 17 + 4)*(2 - 2 - 3) to x + o*u**3 + y*u**2 + t*u and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644 = 3248834*t - 3248841*t for t.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 + 2*w**3 + w**2)*(1 - 1 + 3) - 29*w + 29*w + 5*w**3 - 2*w**3 + 0*w**3 + 0*w**3 to y*w + p*w**3 + s*w**2 + j and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-28) + (46\/(-14) - -5). Let h(o) be the first derivative of 4 + 0*o + 2\/3*o**3 + 0*o**j. Let x(b) = -4*b**2. Give h(x(g)).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 998717*d*z**3 + 114*z**3 + z**2 - 2 wrt d.\nAnswer: 998717*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d + 319 - 25. Let t be (-8)\/(-2) - d - (3 - 0). Let g = 92 - t. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 - (-3)\/((-6)\/(-4)). Let p(v) = v**2 + 7*v + 7. Let b be p(u). Let i be 2\/24 - (-3)\/(-12). What is the smallest value in 0, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 + 7941 + 1264 + 2046 + 2*c**2 as f*c**2 + l + v*c and give l.\nAnswer: 11251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*d = 6, -3*d - 5 - 4 = -2*o. Let t(q) = -q**2 - 6*q - 7. Let z be t(o). Solve 0 = -0*l + 2*l - z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000104854543 to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10855 + 28?\nAnswer: -10826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6154*q - 625860 = -1848*q - 233*q for q.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132111 (base 8) to base 2.\nAnswer: 1011010001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k + 138. Let q be t(49). Let o = q + -528. Solve -10 = o*i - 0*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(-12) - 302\/24 and 62\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/7*d - 408\/7 + 2\/7*d**2.\nAnswer: 2*(d - 17)*(d + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 equal to 672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + o = -4*o + 38, -3*g + 4*o - 70 = 0. Let x be 4\/g + (-160)\/9. Let c = -16 - x. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 5750, 2 in ascending order.\nAnswer: -3, -1, 2, 5750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132961157 by 1.\nAnswer: 132961157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6553, -13021, -19489, -25957, -32425?\n\"Answer: -6468*y - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/175)\/((-2)\/(-5)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -54323.\nAnswer: -54323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 2 + 8 + 1839*f + 12 to the form s*f + q and give s.\nAnswer: 1839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.3 (b) 0.1 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9239 + 9179 = -12*i. Solve i*m - 24 = -69*j + 68*j, -3*m - 4*j + 28 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 6*d**2 + 14*d + 4. Let m be z(6). List the prime factors of (-66)\/m + (-142)\/(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b8 (base 15) to base 10.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/2087 + -60563\/41740. Let a(q) = 11*q + 34. Let n be a(-3). Find the common denominator of p and 1743\/126*n\/(-3).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -556 - -121. Let m = o + 434.5. Sort 0.4, 1.5, m in decreasing order.\nAnswer: 1.5, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(102)\/sqrt(6))**2 + (sqrt(187) + sqrt(187)*-3)\/sqrt(11) + (((sqrt(833) + -2)**2 - sqrt(833)) + 1)*-3.\nAnswer: -2463 + 103*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/(-91) + (-1099)\/(-49). Solve -3*s - 16 = -m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/10 + 1)*-5. Let z be (8 - (b + 1) - 1)\/(-1). Let t be 2\/(-3) + 64\/24. Put t, -5, z in descending order.\nAnswer: t, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31 - 36?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5473606126 to the power of 1\/2, to the nearest integer?\nAnswer: 73984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, e: 2, v: 1, x: 1}. What is prob of picking 2 t and 1 e?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*s + 5539 = 0, -4*s + 22096 = 51*l - 47*l. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1143\/7 + 161. Let a = 65 + -59. Suppose -2*m = -4*l + 10, -2*m - a = 5*l - 5. Is w at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 95, 217, 387, 605, 871?\nAnswer: 1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (484 - 481)*4\/10*100\/(-2)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**2 + 0*v + 0*v)*(2*v - 2*v + 2*v) + (0*v**3 - 3*v**3 + v**3)*(-3 + 2 + 0) - 500*v + 500*v + 37*v**3 as p + s*v + f*v**2 + g*v**3 and give g.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -911178 divided by 2043.\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1\/2, 39262?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 30. Give s(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 0)*(0*s - 2*s + 0*s) + 4*s - 3*s + 2*s)*(2400*s + 2445 - 4894 + 2449 + 2332*s).\nAnswer: 4732*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 26. Suppose b - 5*q = 4, -4*b = q - p - 6. Suppose -5*j = 15, b*j - 519 = -2*i - i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s**5\/9 + 10*s**4\/9 + 46*s**3\/9 - 2*s**2\/9 - 32*s\/9 - 8\/9 = 0. Calculate s.\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*l - 586*l + 1180 = -19400. Calculate the greatest common factor of l and 1095.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1152 and 19136?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 885 is divided by 99?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + (sqrt(396) + (sqrt(396) - -5*sqrt(396)) + 2 - sqrt(396)) - -4*(sqrt(396) + 5 + sqrt(396)))**2*-5*3.\nAnswer: -1343760 - 59400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121120 + 12?\nAnswer: 121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**3 + 3*b**2 + 10*b**3 - 2 - 83151*b + 83160*b as q*b**3 + z*b + u*b**2 + i and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69927 and 280137.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) 0.1 (c) 3 (d) -3 (e) 17\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -11*o**2 - 51*o - 108. Let m(z) = 39*z**2 + 153*z + 325. Let s(q) = 6*m(q) + 21*n(q). Factor s(b).\nAnswer: 3*(b - 53)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 0. Let o = 13 + y. Let u = o + -7. Solve -3*b + 7*b = k, 2*k - 5*b + u = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**4\/2 + 8551*j**3 - 4057355*j**2\/2 - 4911214*j - 1639350 = 0.\nAnswer: -3643, -2, -2\/5, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*x**2 - 390*f*x + 52965*f + 4*x**2 - x wrt x.\nAnswer: 2*f*x - 390*f + 8*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o + 13 = 125. Let j(y) = -2*y + 21. Let u(q) = -6*q + 64. Let r(f) = o*j(f) - 3*u(f). Let k be r(13). Solve k*g = -3*v, -v = -2*g + 3 + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 - 3\/14. Let y = 864 - 860. Sort -5\/2, y, 1\/9, a.\nAnswer: -5\/2, a, 1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7463731?\nAnswer: 11, 17, 167, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/14 - (-8)\/196*-7. Let c(y) = 13*y**2 + 2*y + 1. Determine c(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87.1 + -91. Let g = s - -3.87. Which is the smallest value? (a) g (b) 2\/3 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -32. Suppose -2*h = 2*c, -c + 3*h - j*h + 6 = 0. Solve 4*z + 2*n + 2 = 0, c*z - 5*n - 13 = 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1739 + 4009. List the prime factors of v.\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2955 by -591.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bsbqssbsqbssbjbbsb. Give prob of sequence qbsq.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 + 2860*y**3 - 17*y + 40*y - 1 + 3 - 22*y.\nAnswer: 2860*y**3 - 5*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*v + 117*v - 6*b - 29, 3*b = 4*v + 35 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (7\/3)\/(-1)*(-104)\/364*33\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*l - 87*l - 17 = -3*w, -4*l - 3*w = -8 - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -405 + 108. Calculate the greatest common factor of g and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 10. Suppose 3*k = 268*x - 264*x - 10, 0 = x - 4. Solve -k*i - 4 = -3*i - 3*z, -s = -i + z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**3\/4 + 16091*a**2\/2 + 1478129*a\/4 - 755153\/2 = 0?\nAnswer: -233\/5, 1, 6482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 195726199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*u + 0*u**3 + 37*u - 2*u**3 - 3*u**2 + 43*u to the form o*u + g + b*u**3 + j*u**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 388\/(-16) + 88 + (-20 - 43).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215128188 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 2)*(3*m + 3*m + 0*m)*(-2 - 2 + 5) to the form b + f*m and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*a**5 - 8*a**4*c**2 + 2*a**2*c**2 + 6*a*c**2 - 8*c wrt a.\nAnswer: 480*a**2 - 192*a*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in 0, 0.3, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 64770192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 3 (c) 21\/2 (d) -3 (e) 0.01 (f) 23 (g) -1\/6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*b - 24, -5*w + 3*b = -47 - 13. Suppose 0 = -g + q + w, 37 = 5*g - 3*q - 0. Calculate the greatest common divisor of g and 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 2*o**3)*(-3 + 3 - o) + (-5*o**2 + 49*o - 49*o)*(-3 + 3 + 2*o**2).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 11:22 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.309 times -292.76?\nAnswer: 383.22284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 798 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*u - 8970 = 143622. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2\/5, 443, -0.5, -11, -2\/9?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 1. Suppose 13*d = 9*d + 4. Let y(s) = 4*s - 3. Calculate d*y(u) + 3*b(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6\/4*(-182)\/(-39) and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 36 = -10*u + 11*u, -2*y = u - 24. Solve -2*s = -10*s + u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**4\/6 + j - 2. Let d(l) = -23*l**2. What is m(d(r))?\nAnswer: 1058*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 2*x - 1038. Let w(a) = -2564*a + 19. What is u(w(t))?\nAnswer: -6574096*t**2 + 92304*t - 1361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 7*q**2 - 7*q + 7. Let d be b(4). Let j = d - 16. Suppose -14*g + j*g + 330 = 0. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*((-2)\/3)\/2. Let d = -0.5 + 1. Let p = 3.032 + -0.032. What is the second biggest value in d, t, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.5 + 13.281. Let k = 5.219 + y. Let c(x) = -x + 9. Let z be c(5). What is the third biggest value in k, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 8*a**2 + 10*a - 2. Calculate the remainder when t(7) is divided by (10\/6)\/(5 + (-70)\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 12 = -s. Let a(f) = -21 + 45 - 4*f - 9 - 23. Let z(o) = o + 3. Give s*a(t) - 8*z(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 328 + -110. Suppose 4*y - 280 = 4*h, 0*y - h - r = -3*y. Suppose -70*z = -y*z - 27600. Round z to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6928496, -6928205, -6927916, -6927629, -6927344?\n\"Answer: -r**2 + 294*r - 6928789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5839 is divided by 2500?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/30)\/(((-54)\/8)\/(-9))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r. Let g(x) = 208496*x. Determine u(g(o)).\nAnswer: -416992*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3040 - 3037. Let z(j) be the second derivative of j**4\/12 - 4*j**3\/3 - 2*j**2 - j. Let w be z(9). Solve -4*l + 9 = 3*b, -4*l = w*b - 4 - a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 858525 is divided by 962?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4) - (-128)\/36. Let i = 3242\/117 + -262\/13. Let s = j - i. Find the common denominator of s and 89\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 601\/459 + -21\/17. Find the common denominator of 12\/(-30) + (-284)\/(-135) and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18b02c (base 13) to base 10\nAnswer: 623986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.433 * 8754.1\nAnswer: 3790.5253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 37*p**5\/60 + 9*p**2 - 5*p. Let y(w) = -7*w**2. Give y(o(i)).\nAnswer: -9583*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c + 4*i - 12 = 0, 7 = -c + 4*i. Let u = 4 - 3. Let x = 3 - u. Solve -x = -2*j - 4, -4*y - c = -3*j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -72, -71, -76, -93, -128, -187, -276?\n\"Answer: -g**3 + 3*g**2 - g - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 - (1 - -4 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**7\/7 - 1433*f**4\/2 + 9*f**3 + f**2 + 26*f - 7297. Find the third derivative of g(d) wrt d.\nAnswer: 120*d**3 - 17196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 6*v**2 - 3*v + 9. Let z be (-15)\/35 + (-2442)\/(-14). Suppose -5*g = 59 - z. Let a be 120\/21 - (3 + g\/(-7)). Determine r(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 569*r + 72202. Let b be d(-378). Factor 1\/4*o**5 + 5\/2*o**b + 11\/2*o**2 + 0 + 6*o**3 + 7\/4*o.\nAnswer: o*(o + 1)**3*(o + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.13 - 0.33. Let u = 73 + -66. Suppose -o = 3*q - 2, -5*o - u*q + 2*q = 0. Which is the closest to z? (a) -4 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136 - 130.1. What is m rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - -0.9. Let j(g) = 11*g - 1. Let d be j(-2). Let i = d + 49\/2. Which is the nearest to -1\/4? (a) -5 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -2*s - 12, -36*m = -31*m + 5*s + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000624724 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*k - 46 = 0, -5*d + 11*k + 47 = 12*k. Suppose -5 = -f + 14. Suppose 4*l - 49 = f. What is the remainder when l is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/3*((-18453231)\/18 + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 + -1a9b6bb?\nAnswer: -1a9b728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.1. Let r = n - 1.6. Round r to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, o: 2}. What is prob of picking 1 o and 3 n?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3754019965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (1 + 1) - 11. Let s be z\/(-15)*(-30)\/(-4). What is the derivative of s*q - 3 + 2 - 3*q wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 354 and 113667689.\nAnswer: 682006134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 5 - 6)*(7*b**2 + 10*b**2 - 221254 + 220975) in the form k*b + n*b**2 + p and give n.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80236*h*s**3 - 5*h*s**2 - 1530879*h + 31*s**3 wrt s.\nAnswer: -481416*h + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94153*c**2*n**3 - 34*c**2*n + 2769282*c*n - 1029*n**5 wrt n.\nAnswer: 564918*c**2*n - 20580*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 299965129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28943 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412 = -18*f + 22*f. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 2*y**2 - 2*y + (19*y**2 - 271*y + 271*y)*(1 + 10 + 0) to the form f*y**2 + l*y + m and give f.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -17*h - 32. Determine b(5).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/(6*3\/936)*-1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -60 - (36 + 37 - 96).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 510537 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xuxp when four letters picked without replacement from {p: 4, u: 1, x: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a factor of 39760448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*k = -118*k + 189 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.89 + 1.89. What is the closest to d in -25, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 12*c - 18. Let n be m(-10). Find the third derivative of b**2 + 3*b**2 + 11*b**5 + 17*b**n wrt b.\nAnswer: 660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-48))\/((-8)\/(-3)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -3\/2*n - 1\/2*n**3 - 3\/2*n**2 - 57. Let d(o) = 0. Calculate o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - b + 10 - 4, -4*b + 24 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82201*w - 82214*w + 164422*w + 1.\nAnswer: 7*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -64439200 divided by -124400?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 37*d**2 - 552*d - 35. Determine v(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 + w**4 - 7*w**2 - 192 + 191 - 5*w**3 to z*w**3 + h*w**4 + k*w**2 + s*w + q and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11293 - -1?\nAnswer: 11294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16691363881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3387.97 times -0.44?\nAnswer: 1490.7068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 24\/(-9) - 3. Let a = 15 + -11. Suppose 0 = 3*s - 2*h + a*h + 1, 4*s = -h + 2. Is i > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-192)\/(2 + 2)*(-9)\/4. What is the least common multiple of 6 and r\/8*(9 + -7)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 426 and 6603?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by (-132)\/(-6)*1 - (17 + -13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -13*m**2 - 16*m - 108. Let c(v) = -10*v**2 - 13*v - 108. What is 4*b(a) - 5*c(a)?\nAnswer: -2*a**2 + a + 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (995*y**5 - y + 47*y - 46*y - 223*y**5)*(3 - 6 + 2)*(-5 + 5 + 4).\nAnswer: -3088*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*h**3 + 89*h**2 - 32*h**2 - 27*h**2 - 30*h**2.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7404320 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 80*i - 89*i - 4*s + 59, -3*i + 2*s = -32 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1845921 is divided by 5645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c + 2. Determine z(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1 + 6 - 11*a - 4 + 2. List the prime factors of w(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -660, -664, -678, -708, -760, -840?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6937*b - 6710. Calculate t(1).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2450550*o + 19557 = -2450181*o for o.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 10*l**3 - 24*l**2 + 7*l - 7. Let q(z) = 9*z**3 - 24*z**2 + 6*z - 6. Let f(x) = 6*i(x) - 7*q(x). What is the third derivative of f(m) wrt m?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4427934 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12075094 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23473 divided by 1?\nAnswer: 23473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16593.48l?\nAnswer: 16593480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d - 47. Let x(y) = 19*y - 565. Let c be x(30). Calculate z(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.04 + -0.04. Let q = w + -1. Let x = -53\/140 + 1\/280. What is the closest to q in x, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104135 + -1?\nAnswer: -104140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133\/2 - 3\/4*j**3 - 275\/4*j**2 - 537\/4*j + 1\/4*j**4 = 0. Calculate j.\nAnswer: -14, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**4\/5 - 1196*z**3\/5 + 41784*z**2\/5 + 87148*z\/5 + 8834 = 0.\nAnswer: -631, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8273266 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*a**2*y**3 + 9*a**2*y + 3*a**2 - 4*a*y**5 + 8*a*y**2 wrt y?\nAnswer: -114*a**2 - 240*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9274, -10001, -11216, -12913, -15086, -17729, -20836?\n\"Answer: m**3 - 250*m**2 + 16*m - 9041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -27\/2897?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i + 15. Let x be l(-7). Let v(h) = h**3 + 7*h**2 + 5*h + 6. Calculate v(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 30808 = 77358. Round j to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(147)*1 - sqrt(3)) + (6*sqrt(48) - sqrt(3)) + sqrt(3) - (-2*sqrt(3)*-4 + 0)).\nAnswer: 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 9:38 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = -7. Suppose 5*y + j*x - 18 = 0, 0 = 3*y + x - 3*x - 7. Determine q, given that -q + 4*q**3 + 7*q - 5*q**3 - y*q + 2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -767 divided by -6\nAnswer: 767\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1775*k - 4570*k - 4566*k.\nAnswer: -7361*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3862917 + -41?\nAnswer: -3862958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**2 - 2*s - 3. Let b be q(-1). Solve -b*x = -2*z - 2*z, -z + 3*x - 7 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 385971 - -6 - 4*-1. Let n = -985981 + c. Round n to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + y = -2*y + 3, -5*y + 27 = 4*x. Let b = -3 + x. Suppose -2*j + u + 3*u + 10 = b, -5*u + 72 = 4*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 69\/17 - (-49275)\/153. Calculate the greatest common divisor of 4347 and j.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 948 and 177564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 2)*5\/(-5). Let f(p) be the third derivative of g - 1\/120*p**6 + 0*p**4 + 0*p**5 + 0*p - p**2 + 1\/6*p**3. What is the derivative of f(c) wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*p + 609*p - 123*p + 455*p + 259*p.\nAnswer: 1167*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/21*5978\/(-244)*60\/14?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**(-2\/3)*o)\/o)**(-34)*o**(-2\/5)\/(o\/o**(1\/2)) assuming o is positive.\nAnswer: o**(-367\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -551, -707, -929, -1217, -1571, -1991?\n\"Answer: -33*r**2 - 57*r - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -122, -4, -3, -227 in descending order.\nAnswer: 61, -3, -4, -122, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (137\/(-36))\/(15\/45). Let i = 907\/132 + z. Is i greater than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4*v*v*v*(v*v**1)\/v assuming v is positive.\nAnswer: v**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2804 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250475 and 32525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 0)*(6*o - 2*o - 2*o) - 2*o + o - 4*o.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 21 + 15. Suppose 581*t - r = 580*t. Let o be (-1)\/(-4) + 22\/8. Solve -18 = 2*m - 5*a, -o*m + 2*a + a - t = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -6*l + 2. Suppose -7*t = l*t - 2088. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191 = -22*o - 70 - 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*(-2*sqrt(605) - sqrt(605)))**2*5 - (-3 + sqrt(605)*3 + 5))*1.\nAnswer: -33*sqrt(5) + 27223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1 + (sqrt(425) - (sqrt(425) - (2 + sqrt(425)))))*-5 + ((sqrt(425) - (sqrt(425) + 1)) + -2 - (3 + -2*sqrt(425))))**2 + 4.\nAnswer: -3942 - 330*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -35*l - 42. Let j be v(3). Let y be (-11 - j\/14)\/((-1)\/14). What is the greatest common factor of y and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -281, 5, 10, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -170, -3, 1, 0, -2\/11, 2\/5 in descending order.\nAnswer: 1, 2\/5, 0, -2\/11, -3, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuu when three letters picked without replacement from uuihuzouiuih.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 223650 and 18.\nAnswer: 223650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-477)\/(-108) + 3\/(-4). Let x = 6474 - 6476. Which is smaller: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4)*p\/(p**(-1\/2)\/p)*p**(2\/9)\/(p\/p**(-1\/10)) assuming p is positive.\nAnswer: p**(-107\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-44)\/(-8) - 2\/(-4). Calculate the common denominator of (-145)\/(-6) + 2 + -2 and 62\/24 - 2\/r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(9\/8)\/x*x)\/(x**(-13\/3)\/x) assuming x is positive.\nAnswer: x**(155\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + 5*h - 5*h + (4*h - 3*h + 0*h)*(0*h + 0*h + 2*h**4) + (1 - 3 + 3)*(6*h - h - 3*h)*(-27*h**4 + 97*h - 97*h).\nAnswer: -50*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 26*c + 83 = 0. Suppose -73 = -h - 2*h - x, -4*x + 39 = h. What is the remainder when c is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 6*i + 6. Let a(t) = 1 - 4 - 1 + 5*t - 1 - t**2. Let m(d) = 6*a(d) + 5*f(d). Let k(n) = 16*n. Calculate k(m(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 1)\/3*7. List the prime factors of (-8 + u)*(-14)\/1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 41*r**3 + 2*r - 4 - 143*r**2 - 10*r**3 + 141*r**2. Let s(v) = -31*v**3 + v**2 - v + 3. Let d(m) = -2*a(m) - 3*s(m). Calculate d(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from xsxtkxxxtxrxtttkg?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151202 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 3*w**5\/20 + w**4\/10 - w**3\/2 - 3*w**2\/5 + 18*w - 1. Factor y(q).\nAnswer: 3*(q - 1)*(q + 1)*(5*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*r**4 - 6*r**2 + 6957*r + 842466.\nAnswer: -20*r**3 - 12*r + 6957","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3, 1\/8, 99, 32, -2 in ascending order.\nAnswer: -3, -2, 1\/8, 0.2, 32, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 3 + -3)\/1. Let y(i) be the second derivative of 59*i**5\/20 - i**4\/12 + i**2\/2 + i. Is y(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 6\/5, 1715, 1\/3, 340, 5 in decreasing order.\nAnswer: 1715, 340, 5, 6\/5, 1\/3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/31 < 1.305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 431133.8 hours?\nAnswer: 1552081680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -7. Let k(i) = -2*i. Let u(y) = y - 1. Let m(x) = -k(x) - u(x). Calculate m(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5406651*a**5 - 2770*a**2 - 6*a?\nAnswer: -324399060*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**3 + 4*b**2 + 5*b - 4. Let r(h) = -5*h**3 - 6*h**2 - 8*h + 6. What is -8*l(m) - 5*r(m)?\nAnswer: m**3 - 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 5*x**2 + 4*x + 4. Let n(v) = 3*v**3 - 15*v**2 + 11*v + 12. Let c(j) = 4*n(j) - 11*y(j). Determine c(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5*z + 85, 0*o = 2*o - 4*z + 44. Let p = o + 17. Let c be 10\/50 - (-24)\/p. Solve 2*i = -t - 0 - 3, -c*t + 4*i = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1296036406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3666 - 0.3666. Let f = 0.29 - 0.29. What is the second biggest value in 13, -2\/5, f, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2485789264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*b + 15 = 0, 3*d - 7*d = -5*b - 27. Suppose d - 12 = -3*y. Let t = 20 - 8. Solve y*x - t = -3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3150 - -3145. Sort 4\/9, 1\/9, p, -4\/15 in increasing order.\nAnswer: p, -4\/15, 1\/9, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*z - 88, -c - 4*z = 3*c - 196. Let y(m) = 10 - 7 + m + 0*m + 1. Calculate the remainder when c is divided by y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5175001km?\nAnswer: 51750.01","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - m**2 - 6*m + 8. Give k(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12518+-393902978\nAnswer: -393915496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-6))\/(-5*(-8)\/(-4980)). Let a = -79 - d. Solve a*s = 3*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60560314 - -5?\nAnswer: -60560306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(4)*1) + -5*(sqrt(19)*1 + sqrt(19))**2 + sqrt(38)\/(sqrt(24)\/(sqrt(12)*-2)).\nAnswer: -380 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*k - 40 = 0, 199 = 4*i + 5*k + 51. What is the highest common factor of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35035 = 3861*m + 844*m + 8155*m + 93565 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 15*t + 5*t - 20*t - t + t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 75*j**2 + 4*j - 4. Let t = -44 - -45. What is the tens digit of g(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 21*r - 13. Calculate p(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n - 2. Let h(t) = -5*t + 3. Determine -9*b(z) - 4*h(z).\nAnswer: 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(0 - c**2 + 0) + (-7*c - 37*c + 16*c)*(-70*c - 185 + 185).\nAnswer: 1962*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d**3*l + 215*d**2*f*l - 244*d*f*l + d*f - d + 14*f*l - 2*f wrt d?\nAnswer: 30*d*l + 430*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -4 (c) 24454\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 532 = -17*y + 10*y. Let x be (y\/(-7))\/((-36)\/(-126)). Calculate the greatest common divisor of x and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50480 and 1171920?\nAnswer: 739481520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 8:00 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n - 3212 + 3176 = 0, 28 = -5*m - n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 49*r + 12*r - 43834 + 43545. Let f be n(-18). What is the closest to 0 in f, -4, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**3\/3 + 5*r + 425. Let k(i) be the second derivative of i**2\/2 + i. Give 5*k(u) - m(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 t, and 1 l when three letters picked without replacement from vvlftwn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585529602?\nAnswer: 2, 3, 7, 13941181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3203 (b) -58 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*s = -2771 - 3089 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2.4, 0.2, -0.0435 in descending order.\nAnswer: 0.2, -0.0435, -1, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-15)\/(105\/(-28)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67456*b**3 - 2*b**2 + 66593*b wrt b.\nAnswer: -404736*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -133*b - 1697. Let d be m(-13). Solve -11*y = -19*y - d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -2\/9, -3, 158 in decreasing order.\nAnswer: 158, 2\/15, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + z = -1, -3*z - 17 + 5 = 3*k. Suppose v + k = 0, -5*a - 135 = -v - 416. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a micrometer in nanometers?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7888567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 2*n + 2, 25*n - 5 = -5*u + 22*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 12*x - 16. Let g(p) = -p - 1. Let h(u) = -b(u) - 10*g(u). Let j be h(13). Solve j*c + 4 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 183 + 69 + 3*g.\nAnswer: 3*g - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-3 + 2 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(225\/(-10))*138\/4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 62, 619 in ascending order.\nAnswer: 5, 62, 619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, t: 2}. Give prob of picking 1 t and 1 r.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + j + 3*j = 16, 2*j - 10 = 0. Let s(m) = m**2 + 2*m - 6. Let o be s(0). Let b be o\/201*(d + 1). Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 217 + -212. Suppose 70 = 2*m - 5*l, y*l + 116 = 4*m + l. Solve 18*v - 13*v = m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 180*w - 625 - 48*w + 623. Let g(p) = p**2. Calculate z(g(b)).\nAnswer: 132*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 + -13.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 0, 3*x + 4734 = -264*j + 267*j. List the prime factors of j.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 276.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3943*y - 22712. Calculate t(6).\nAnswer: 946","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6865.7 - 6862.7. Let f be (-1 - (-6)\/4)*-8. What is the third biggest value in d, 2, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u + 7*u + 10*u)*(3 - u**2 - 3 + 2*u).\nAnswer: -9*u**3 + 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + 7*r**2 + 41016 - 41016.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/5498112 and -3\/11.\nAnswer: 60479232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 90.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 207*d**3 + 22*d**2 - 22*d + 11. Let u(f) = -f**3 + 2*f**2 - 2*f + 1. Give 22*u(n) - 2*z(n).\nAnswer: -436*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 44, 14294, 2 in increasing order.\nAnswer: -5, 2, 44, 14294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*3\/(54\/2). What is the closest to 0.3 in m, -4, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/10*(-3)\/(((-34749)\/(-135))\/(-33))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13700 is divided by 572.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + -2 - -1)\/1. Suppose 3*j + 14 = -4*q + 42, -4*q = -4*j. Suppose 5*r - j = -2*y, r - y + h = 9. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**2*u**2 + 3*f**2 - 66*f*u**2 + 21*u**2 + 11*u + 1 wrt f?\nAnswer: -4*f*u**2 + 6*f - 66*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30547 - -30552. What is the nearest to 23 in f, 1, -0.017?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d*i**2 + 16*d*i - 21*d + 26500*i**4 - 4 wrt i.\nAnswer: 4*d + 318000*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 19, 19, 15, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -10066291619604.\nAnswer: -10066291619604.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12843, -25098, -37339, -49572, -61803, -74038, -86283, -98544?\nAnswer: -110827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 4*b**2 - 2*b - 1. Let u be -2 - (6\/3 - 7). Let l be c(u). Solve l = -o + 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5575 - -1?\nAnswer: 5576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-130)\/(-104))\/(-1 + (-637)\/(-644))\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*z - 38*z - 12 = 7*k, 2*z - 12 = 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3))**(-13))**(-1\/69)\/((t**(1\/2))**(1\/7)*((t**(-1)\/t)\/t)**(-44)) assuming t is positive.\nAnswer: t**(-42709\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -54. Let k = j - -84. Round k to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 7:14 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, 0.3, 12\/7, 0.2?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0677 - 1.6277. Round c to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 20. Suppose -d - 1071 = x*d. Let l = d + 514. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -160 - -57. Let s = -52 - v. Let r = -50 + s. What is the least common multiple of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.5080163 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2)\/(-21) + (-9360)\/(-945) and 2\/1*(-8 + 9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 10:40 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/2)\/5 - (-15)\/(-10). Let u(f) = -5*f + 3. Let v(s) = -11*s - 5. Let r(k) = 7*k + 3. Let z(q) = -8*r(q) - 5*v(q). What is a*z(h) + u(h)?\nAnswer: -4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/12*(-251)\/1757.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -1 + 3, -86 = -3*l + t. What are the prime factors of l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6900 less than 4.075437?\nAnswer: -6895.924563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 9:48 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 65*h - 36 = 69*h, -16*f - 2*h - 193 = -35 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5749 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 41\/2 of a millennium?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2*(54 + -18). Suppose 12 + y = 5*o. Solve -3*a - 15 = -o*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from mnmelmnnmgmemenl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -10, 2, -5 in descending order.\nAnswer: 5, 2, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28762 and 16.\nAnswer: 230096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 6. Let l be g(-6). Suppose 1 = 4*j - 3*v, -3*j + v + 1 = -v. Let z be (-1*2)\/(j\/2). Sort z, 2, l in ascending order.\nAnswer: z, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 665936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-12))\/(-1))\/(28\/14)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 566.13 + -561. Let d = q + -0.13. Let n = -0.3 + 0.5. What is the third smallest value in d, -3, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/308 - 8\/(-126)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l\/l**(-1)*l*l*l)**(1\/57)\/((l*l**(1\/4))\/(l*(l\/l**(2\/25)*l*l)\/l*l)))**(-44))**(-5\/9) assuming l is positive.\nAnswer: l**(175109\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9253475 to the power of 1\/2, to the nearest integer?\nAnswer: 3042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96762, -194951, -293140, -391329, -489518, -587707?\nAnswer: -685896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k*k**(-1\/4))\/k*k)\/(k\/k**(-7)))**(-12\/5))**(-1\/14))**(5\/17) assuming k is positive.\nAnswer: k**(-87\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-74 - 3 - 44)*(5*z**3 + z**3 - 4*z**3) - 5*z**3 - 4*z + 4*z as j*z + w*z**2 + k*z**3 + t and give k.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 41\/(-205) + (-6892)\/(-10). Let g = m + -683. Solve -g*l = -10*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**2 - 9*h**5 + 7 - 8*h**4 + 7 - 3*h**2 - 10 wrt h.\nAnswer: -540*h**2 - 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0943 and 0.18?\nAnswer: 0.0857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -58418 - 8?\nAnswer: -58425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-4))\/((-4)\/16). What is the common denominator of -59\/20 and (((-4545)\/(-12))\/r)\/3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(2448) + sqrt(2448) - sqrt(2448)) + (sqrt(2448)*1 + -5 - sqrt(2448)) - (-4 + (sqrt(2448) - 1*sqrt(2448)))**2*6.\nAnswer: -60*sqrt(17) - 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 - 222 = -7*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, m: 4, x: 2, n: 1}. Give prob of sequence nt.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16862b (base 12) in base 5?\nAnswer: 44403341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 6*w - 7. Let q be z(-9). Let j = q + -25. Which is the third smallest value? (a) -4 (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 163*d**2 - 171*d**2 - 6*d + (2 + 2 - 5)*(3*d**2 + 0*d**2 - 5*d**2) in the form a + o*d + y*d**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -888?\nAnswer: 5\/888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/z**9))**(-1\/4) assuming z is positive.\nAnswer: z**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4431700?\nAnswer: 2, 5, 7, 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, -1.1, -6, 4 in descending order.\nAnswer: 4, 0.2, 0, -1.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -7 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 1 - 3*a - 1\/3*a**3 + 0*a**2. Differentiate q(n) wrt n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2 - 6. Let l(f) = -f + 84. Let r(w) = -2*w + 105. Let h(d) = 5*l(d) - 4*r(d). Give m(h(g)).\nAnswer: 45*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.3. Let i = v + 5. Let n = 3.211 + 0.789. What is the second biggest value in -1, i, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 2*f**3 - 3*f**3)*(-6*f + 2*f + 2*f) - 7*f**4 + 2*f**4 + 3*f**4 + 63 - 63 - 73*f**4.\nAnswer: -71*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 2548*u + 2544*u + 2, 9*u = -5*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 6*a**2 - 4*a - 3. Suppose 2*s + 21 = -119. Let y = -63 - s. What is the units digit of i(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.054 (b) -1\/9 (c) 0.3 (d) 3\/4 (e) -1.43 (f) -0.023\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 6*s**2 + 10*s - 6. Let g be f(4). Let u be g + -1 - 5 - -1544. Suppose 0 = 18*n - u - 1952. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3587 + 3582. Suppose 3*k = 4*k. Suppose -o - 12 = 5*y - 40, -5*o - y + 44 = k. Which is the smallest value? (a) f (b) 3\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*3*(-5)\/30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27173a3 - 2?\nAnswer: -27173a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - 3*t**2 - 6 + 5*t**4 - 7*t**4 + 54*t**3 - 54*t**3 + 5*t**4 + (5*t - 2*t - 2*t)*(-t**3 - 2*t**3 + 5*t**3) - 2*t**4 + 3*t**4 - 5*t**4.\nAnswer: t**4 - 2*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*3\/(-10)*35. Let x = z - -60. Suppose 2*d = d + x. Calculate the least common multiple of d and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmmcmmmm. Give prob of picking 2 m.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/3 - 108*h**3 - 12458*h**2\/3 + 17928*h - 55112\/3.\nAnswer: -2*(h - 2)**2*(h + 83)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*l - 64*l = 1000 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11563, 23164, 34781, 46414?\nAnswer: 58063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 255316634*o**2 - 276904152?\nAnswer: 510633268*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6 + 6 + 3 - 206*t. Is y(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c = -18*c - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52668 and 999621?\nAnswer: 835683156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1430, 1452, 1488, 1544, 1626, 1740, 1892, 2088?\n\"Answer: l**3 + l**2 + 12*l + 1416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r\/(r**(1\/6)*r*r)))\/r)\/r**(-2\/5))\/(r*r**(-2\/7))**(-24) assuming r is positive.\nAnswer: r**(3719\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 45 - 44 = f, -2 = -f - 4*n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 16. What is the closest to a in -0.1, -0.4, -1\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*s - 144 = 0, -3*c + 2*s + 264 = c. Suppose -3*d + 5 - 11 = 0, -2*d - c = 2*g. Let p be g\/(-8) + 1\/4. Solve -p - 1 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 20*s = -24*s - 54, -39 = g + 4*s. Let y be (-4 + 2)*2\/(-26). Which is the nearest to -3\/5? (a) y (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 110*s + 2247. Determine v(-62).\nAnswer: -729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/((-8)\/(-2)))\/(-1))\/((-210)\/(-21))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i + 83. Let l(f) = -f - 28. Let x(z) = -11*l(z) - 4*t(z). What is the least common multiple of (-16)\/(-6 - -2)*2 and x(-29)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1820 is divided by 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.636868 rounded to 3 dps?\nAnswer: -0.637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2247)\/(-132) + -17 - 1756\/(-176)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.29254 plus -0.13?\nAnswer: 28.16254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19449 and 883278.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -747 (base 14) to base 2\nAnswer: -10110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15368820 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 259 = 51. Calculate the remainder when c is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54500 + -54504.7066. Let l = -4.7 - y. Round l to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d - 13. Let m be t(5). Let i(l) = -l**3 + l**2 - l + 1. Let g(f) = -f**3 + f**2 - f + 10. Let x(h) = m*i(h) - g(h). Determine x(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10774083?\nAnswer: 3, 19, 189019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -29813104.4 to the nearest ten thousand.\nAnswer: -29810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(1 + 0 + -2). Suppose 0*i = i - f. Solve 2*l = 3 + i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10496881*q + 62981281. What is f(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -271 - -233. Let m = -43 - w. Put m, -3.2, 2\/3 in ascending order.\nAnswer: m, -3.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by -4268?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(1440)*3).\nAnswer: sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 186\/24)*-4. Let w = 318 + b. What are the prime factors of w?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**0\/o)\/o)**(2\/43))**(-13) assuming o is positive.\nAnswer: o**(52\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 153*h + 586. What is v(-4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -377?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h - 4*h)*(-1 + 4 - 1) + (-4*h + 0*h + h)*(1 - 2 + 2) - 19*h + 28*h + 50*h.\nAnswer: 50*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -6b7374a?\nAnswer: 6b73744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5334 is divided by 162.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.226586337 and -0.3.\nAnswer: -0.073413663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 14, 3\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**40*u)\/u)\/u)\/u*u**(-23))\/((u\/(u*u**(1\/8)))\/u**(-16\/5)) assuming u is positive.\nAnswer: u**(477\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -690 + 766 + 3 + -7 + -5.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3)\/(j**(-2\/11)*j))**(2\/29)\/(((j**(-2\/11)\/j)\/(j*j**(-1)\/j))\/((j\/(j\/(j**(-1\/2)*j)))\/(j*j**(-6)*j))) assuming j is positive.\nAnswer: j**(8809\/1914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/5 of a litre?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.92 times -19?\nAnswer: 264.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -1, 1 in decreasing order.\nAnswer: 2, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7271, 7850, 9423, 12488, 17543, 25086, 35615?\n\"Answer: 83*t**3 - t**2 + t + 7188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 2. Let c be h(2). Let o(l) = -l + 4. Let a be o(c). Let u = 10 + -7. Solve -i - a = 2*s, -3*i + 4 = -5*i - u*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -46. Suppose -3*k = -4*k - d. Let v(c) = -5*c - 2. Calculate v(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = x + 4*s - 2484, -s + 2496 = x. Is x a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18440*h**4 - 128*h**3 + 3067354*h**2.\nAnswer: 442560*h - 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(4*l - 4*l - l) - 2*l + 2*l + 2*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 61. Suppose -2*p = 4*l - k - 5, p = 5*l - 27. Solve z - l*f = -2*f - 10, -7 = -2*z - f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*v + 92 = 0, -4*v - 224 + 56 = -4*d. Find the common denominator of 95\/20*(-12)\/22 and (d\/4)\/((-16)\/10).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39039 is divided by 162?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (1 - -2) - (-32 - (-3 + -41))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 divided by -342?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3298\/26 + (-8)\/(-52). Suppose -4*s - 5*f = -121, -4*s = 2*f + f - w. What is the smallest common multiple of 10\/(-30) + (-49)\/(-12)*4 and s?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -21*x**2. Let p(t) be the second derivative of -t**4\/12 + 47*t - 12. Calculate j(u) + 3*p(u).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201 + (-21)\/(-7)*(-2 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(3)*-5 - (sqrt(288) + sqrt(288)*2 + sqrt(288))\/sqrt(12))\/(3*(6*sqrt(128)*-2 + sqrt(128))).\nAnswer: 3*sqrt(3)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 10 + 2. Let p be (100\/6)\/(t\/1848). Round p to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -10) + 5 + -6 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.05 (b) -1 (c) -2 (d) -10723 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + 71. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14750.99965436 - -14751. What is z rounded to five decimal places?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46990 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:32 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10279 - -10278.999985826. What is d rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b + b**3 + b**3 - 1 + b**4 + 2*b**2 + 4*b in the form d*b**2 + n*b + h + r*b**4 + s*b**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/75)\/(6\/15). Which is the second biggest value? (a) -3 (b) 1\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47607157?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 1, b: 1}. What is prob of sequence ba?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 266 = 92. Let i = 79 + k. What is the remainder when 81 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -465 + 1441. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21125587 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19179 = 1597*k + 129372 for k.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 2 - (-147 + 142)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-8) + (-175)\/(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(8)\/(2*sqrt(484) - sqrt(4)) - ((sqrt(14)\/sqrt(63) - (sqrt(162) - sqrt(162)*-1)) + 2))**2.\nAnswer: -1240*sqrt(2)\/7 + 31977\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9027, -18076, -27157, -36288, -45487?\n\"Answer: -3*r**3 + 2*r**2 - 9034*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -1\/20*w**5 + 0*w**4 + 0 - w + w**2 + 0*w**3. What is the derivative of t(y) wrt y?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 186. Calculate the remainder when n is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32208, -32220, -32246, -32286?\n\"Answer: -7*l**2 + 9*l - 32210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*f**2*r*s - 2*f**2*r*t + 25*f**2*s + f*r*t + 133*s*t - 2*s wrt t?\nAnswer: -2*f**2*r + f*r + 133*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipipi. Give prob of sequence ipi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3524, -7045, -10566?\nAnswer: -14087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.68345nm in micrometers?\nAnswer: 0.07268345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x**2 - 88*x - 47112 wrt x.\nAnswer: -2*x - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16850.7 and -133?\nAnswer: 16983.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*a + 2*m - 3*m, -5*m = -4*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 + -195. Let i = 91 + s. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 - 37*l - 30. Let d = -16594 + 16603. Determine v(d).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*o = 18, -2*o - 2 = 5*y + 2. Let m = -2.15 + 13.15. Is m smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3 - 1658*k**2 - 85065*k = 0.\nAnswer: -1605, -53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)*u*u*u\/u**(1\/2))\/(u**1)**40*(u*u**1)**24*(u\/u**(-1\/7))\/u*u**(-2\/15) assuming u is positive.\nAnswer: u**(1787\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4 = -3*d - 1, -5*b = -5*d - 5. Which is smaller: d or 15\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1900\/38)\/((-20)\/(-8)). Let f(i) = i**2 + 20. Let n be f(0). Calculate the highest common factor of g and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2121745276.\nAnswer: -2121745276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2360 divided by 4\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l**(-27)\/l)\/l*l)\/l)\/(l**(-9)\/l))**(-7\/8))**(-23\/3) assuming l is positive.\nAnswer: l**(-3059\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 9*u - 14898. Suppose 0*y + 3*y - u = 3*a, -5*y = 4*a - 1901. Let z = -249 + y. Is z a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5\/7 + 3*f**4 + 120*f**3\/7 + 132*f**2\/7.\nAnswer: -3*f**2*(f - 11)*(f + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5747, 11476, 17203, 22928, 28651, 34372?\n\"Answer: -s**2 + 5732*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/7 - 2140898*p\/7 - 1145861061601\/7.\nAnswer: -(p + 1070449)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/26*(-12)\/(-45))\/(122\/(-6))?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 38*c**2 + 2*c - 2. Let t(z) = 1179*z**2 + 63*z - 63. Determine 126*d(s) - 4*t(s).\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 191339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.136 + 5.854. Let d = 0.01 + i. Let r = d - 6. Sort -4, 2, r in descending order.\nAnswer: 2, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -52. Let s = q - -13. Let t = s + 3.9999936. Round t to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 1\/20*y**5 + 0 + 1\/12*y**4 + 0*y**2 - 1\/30*y**6 + y - 1\/6*y**3. Factor s(n).\nAnswer: -n*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a factor of 295238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**4 - 7*t**2 + 3*t + 3. Let f(n) = -n**4 - 14*n**2 + 5*n + 5. Let k(m) = 6*f(m) - 10*j(m). What is the third derivative of k(w) wrt w?\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 5153895*v**2 + 33*v**3 - 5153902*v**2 + 10307797*v**2.\nAnswer: 34*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-12)*28400\/12425.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/14)\/((-980)\/686).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7490866.\nAnswer: 2, 181, 20693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 35804 = 2*m, 14172 = 3*m + l - 39527. What is m rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2142*v**3 - v + 1141.\nAnswer: 12852*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1324 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/2962882 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -173796 and -0.2.\nAnswer: -173796.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a week?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7)\/g*g**(-1\/7) assuming g is positive.\nAnswer: g**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 15008.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 8. Let a = 270 + -265. Solve 5*k = -4*j + a*j + 7, u*k - 2*j - 8 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(10\/(-200)*8). Solve z = -32*p + 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a century in months?\nAnswer: 12720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1842540 divided by 21935\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, t: 2, p: 5, n: 2, y: 1, x: 2}. Give prob of picking 2 x and 1 t.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88430*t**3*v**2 - 2*t**2*v**2 + 189*t**2 - 46*t*v wrt t.\nAnswer: 530580*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 6*a**2 + 4*a - 5. Let x be t(5). Let p = x - -10. Let g be (p - 0) + -482 + 12. What is g rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 34. Suppose -a = b - 25, 0 = -a - a + d*b + 70. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 8246198.\nAnswer: -3\/8246198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.6481 + 0.3519. Put 5, j, 8\/3, 1\/4, -3 in descending order.\nAnswer: 5, j, 8\/3, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(1 + (-16)\/12). Let c(m) = 2*m**2 - 10*m - 9. What is the tens digit of c(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azdkaixzdaaz. Give prob of sequence zzi.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118243, 473060, 1064445, 1892398, 2956919, 4258008?\nAnswer: 5795665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 367.549133 to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 368821447*c - 133687746?\nAnswer: 368821447","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9.030037 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 22*w + 110322. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, s: 8, d: 1, x: 2, y: 4}. Give prob of sequence xs.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3301 - 0?\nAnswer: -3301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 56*u.\nAnswer: 56*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -3. Let d = -35 + 57. Suppose d*l + 3 = 91. Solve -l*w + u = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575789957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**10\/504 - t**6\/45 - 5*t**3\/3 + 6. Let k(b) be the third derivative of c(b). Find the third derivative of k(n) wrt n.\nAnswer: -1200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680\/119*42\/(-15)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 6*s + 4. Let y be o(-4). Let n be (-164)\/(-6) - y\/(-12). Let h = 40 - n. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157444.\nAnswer: 2, 7, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 696 + -4?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3451*r + 26992 - 84547 - 125348 for r.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 2272?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 233 (base 4) to base 13\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47748 and 184?\nAnswer: 95496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w**2 - 4*w + 3. Let b be r(2). Let t(x) = 19 - b - x. Calculate t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 1 + 3)*-5. Sort -3, 3, l in increasing order.\nAnswer: l, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1082 bigger than -1085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/7)\/(52\/13*1\/(-14)). Put 12, d, 68, 1, -3 in decreasing order.\nAnswer: 68, 12, d, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -637*r**5\/20 + 11*r**3\/6 + 33*r**2\/2 + 185*r + 2. What is the second derivative of u(k) wrt k?\nAnswer: -3822*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 11204.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (11 + -15) - (-5 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10802, 10812, 10824, 10838, 10854, 10872?\nAnswer: 10892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 26.223 * 2\nAnswer: 52.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 4*m**3\/3 + 4*m**2 - 12*m - 2. Let b be w(9). Let h = b + -181. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 k when three letters picked without replacement from sktzkktstzki?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13969, 28285, 42601, 56917, 71233, 85549?\nAnswer: 99865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11504\/(-24)*(-2 + (-6)\/(-12))?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let w be 6 - (m + 1)*2. Sort -1, 3, w in ascending order.\nAnswer: -1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-194)\/20 - -6 - ((-27)\/10 + 3). Put -19, j, 5, -39 in ascending order.\nAnswer: -39, -19, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + t + 719. Let i be (-2)\/(-8)*(3 + -3). Is v(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, k: 9}. What is prob of picking 3 k and 1 c?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/3*(-1 + (-57)\/(-12)). Solve 0 = -4*d, 9*i + 4 = r*i - 4*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187529119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 7*i. Let d be k(7). Is 2\/45 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = s - b + 22, 0 = -4*b - 16. Solve 2*c - 5 = 3*u, 2*c + 3*u = -0*c - s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*c**2 + 107*c**2 + 27*c**3 + 23*c**3 - 194*c**3 - 84*c**3 wrt c?\nAnswer: -1368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 + 0*o**3 - 17*o**3 + 8*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 20. Solve 5*x + i = 5, r*x + x + i = 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32397\/7132 or -1\/6?\nAnswer: 32397\/7132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -65\/62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.84701ug to nanograms.\nAnswer: 15847.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-1)*4\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c. Let o(j) = -8276487*j. Determine o(d(u)).\nAnswer: 24829461*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*((-2)\/30 + (-19)\/57). Let n(a) = 5*a**3 + 2*a**2 - 2*a**3 - 7*a + 4*a - 3 + a**3. What is n(t)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*r**4 - 35 + 9*r - 63*r**4 + 102*r**4 as z*r + l*r**4 + i + x*r**3 + o*r**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 49*c - 179. Let k(b) = 32*b - 119. Give 7*k(o) - 5*z(o).\nAnswer: -21*o + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.46 - -0.04. Let d = 7.4259 + -6.926. Let l = f - d. Round l to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22001020210 (base 4) in base 13?\nAnswer: -70c3c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16279.\nAnswer: 73, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tabxaabaatbbtax. What is prob of picking 3 t and 1 a?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 13.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3615467 (base 8) to base 4\nAnswer: 3301230313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5 = 6*f + 5*n, -2*f = -4*n + 4. Let r(q) be the first derivative of f*q + 0*q**2 + 6 - 2\/3*q**3. Let o(j) = -2*j. Give r(o(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 744265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(31 - 31 - 7*s**2)*(1 + 1 - 5).\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p - 1\/6*p**3 + 5\/24*p**4 + 1\/120*p**6 + 1\/12*p**5 + 0 - 19*p**2. Calculate a(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29255785 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 7 = -4*g. Sort 2, -3, 1, g in descending order.\nAnswer: g, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.3476?\nAnswer: -0.03476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83423.\nAnswer: 83423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/798886 and 81\/2977666.\nAnswer: 32754326","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*i**2 - 28*i**2 - 39*i**2 - 31*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3211 + 3210.94. What is the third biggest value in -0.12, p, 2?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2289517924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -8. Let w = k + 15. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b83 (base 15) to base 14\nAnswer: -d38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7446403253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**5\/20 - z**4\/2 - z**3\/6 - 4*z**2 - 2*z - 11. Let k(g) be the first derivative of i(g). What is k(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/782 and -15*(-4)\/(-36) - (-112)\/132.\nAnswer: 8602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 8*z**2 + z + 1. Let g be f(8). Let r(d) = -d**2 + 18*d - 14. Let s be r(17). What is the highest common factor of g and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -25. Suppose 153 = h*r - r. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 + -1. Suppose 2*t + v = 6*t - 16, -4*t = 3*v. Let g(m) = 2*m**2 - 1. Let r be g(-1). Which is the nearest to r? (a) t (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.48872742 from -209.\nAnswer: -208.51127258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2798 - 1852. Calculate the greatest common factor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 944 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/5, -302, -3 in descending order.\nAnswer: 2, -2\/5, -3, -302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 169*q**3 - q + 2*q + 316*q**3.\nAnswer: 485*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1856*r + 3. Let p(x) = 1239*x + 2. Give -7*p(a) + 5*q(a).\nAnswer: 607*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 15 = 5*h, -8 = -2*t + 4*h + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.15 - 0.35. What is the third biggest value in -1\/7, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-2*y - y + 5*y) + (-2*y + y + 0*y)*(-3 + 6 - 4) - 4*y + 15*y - 5*y - 7*y - 2*y + 5*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27, -11\/6, 0?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -1\/4*i**5 + 0 + i**3 + 0*i**4 + 0*i**2 - 2*i. What is the second derivative of a(u) wrt u?\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 16.1. Let u = 10 + d. Let a = 6.000019 + u. Round a to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56378 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 635040000 to the nearest one million.\nAnswer: 635000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppu when three letters picked without replacement from {s: 2, c: 1, i: 2, p: 1, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_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: Factor -3*c**3 - 79947*c**2 + 28583199*c - 2537930961.\nAnswer: -3*(c - 177)**2*(c + 27003)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -45 + 37 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-10\/9)\/(c**1\/c)*c**(-17)\/((c**(-17\/5)\/c)\/c) assuming c is positive.\nAnswer: c**(-572\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + (-8)\/6 - -1)*(-7791)\/(-742). Solve 9*g - y*g = 4*u + 16, -4*u = 5*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -2\/5, 4\/9, -37, -122?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-5)*2\/(-4). Let j = -453\/11 - -41. What is the nearest to 1\/2 in j, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -172.7 and -39.\nAnswer: 6735.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1252, 394256, 5 in increasing order.\nAnswer: -1252, 5, 394256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + sqrt(891) + (sqrt(891) + (sqrt(891) + (sqrt(891) + -1 - sqrt(891)) - sqrt(891)))*1 + (0 + sqrt(891))*3 + -4)**2*2.\nAnswer: -1080*sqrt(11) + 64202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 + 2*c + 22. Let g be k(-10). Let p = g + -280. Is p a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21208418.\nAnswer: 2, 7, 11, 17, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 0.137, -0.04.\nAnswer: -36, -0.04, 0.137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1479 + 1478.8. Which is the nearest to -1? (a) x (b) 4 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 8652\/71?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5266*h - 4. Is n(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 76 = -2*k - 4*b - 127, -59*k - 2*b = 1585 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from {x: 3, h: 2, d: 2, y: 1, a: 12}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3144?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26474 and 718214.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -585 by -4.\nAnswer: 585\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:26 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -668.113857923 plus 0.5?\nAnswer: -667.613857923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**3\/2 + 5459*k**2\/2 + 5457*k = 0?\nAnswer: -5457, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + 1 + 2 - (108 + (-19 - 86))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**3 - 3*l - 233*l**2 + 233*l**2 - 1134282 + 1134282.\nAnswer: 8*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(-2\/65))\/g)\/g)\/g)**38 assuming g is positive.\nAnswer: g**(-4864\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a3 (base 11) in base 16?\nAnswer: -4b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/53298490?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4 + 9*u**3 + 3*u**2 - 9*u = 0. What is u?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (90\/12)\/(6\/16). Let r = c - 11. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4*x + 8848, 1158 = b + 3*x - 1052. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*q + 26 = -0*j, 0 = 3*j - 4*q - 10. Let g = 459 - 433. Sort -1, g, 1, j in increasing order.\nAnswer: j, -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/2)\/((-1)\/(-3)). Let w(c) = -c**2 - 8*c - 3. Let s be w(u). Suppose s = -3*q, -5*q = -5*g + 16 + 79. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -29*v**3 - 1013*v**2 + 587*v + 18090. What is c(-35)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8552 - 8552 + 19*k**2)*(3 + 0 - 1)*(-3 - 2 + 3).\nAnswer: -76*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-2*n**4 + 0*n**4 + 0*n**4) + (29*n + 47*n - 11*n)*(2*n**3 + 2*n**3 - 3*n**3).\nAnswer: 67*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 7*d - 1209 = 0. List the prime factors of ((-51)\/(-9))\/((-2)\/(-2*d)).\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -28*j**3 - 305*j**2 + 302*j + 2976. Calculate p(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1579 - -2417. What is the remainder when r is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + r + 3)*(-3*r + r - r)*(7*r + 5*r + 5*r).\nAnswer: -51*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + (sqrt(5)*2 - sqrt(5) - sqrt(5)) + 5)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12479 (base 10) to base 3.\nAnswer: -122010012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 + 18\/(-4). Let a = 83 + -90.6. Let t = -8 - a. What is the third biggest value in -1\/5, x, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4100 and 65200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -140, -140, -150, -182, -248, -360, -530?\n\"Answer: -2*c**3 + 7*c**2 - 7*c - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -23\/705?\nAnswer: -23\/705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 444*g - 5. Let j(p) = 7*p - 1. Give b(m) - 4*j(m).\nAnswer: 416*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24636919 minus 8?\nAnswer: -7.75363081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18, -125, -326, -633, -1058, -1613?\n\"Answer: -2*o**3 - 35*o**2 + 12*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3117 != -0.86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.0752, -2, -9, -5, -2\/9, -0.3?\nAnswer: -0.0752","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0435176363 to four dps.\nAnswer: -0.0435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -201?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*i**2 - 100*i**2 + 269*i**2 - 105*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003153691 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02831, -0.3, -1.5, 1.81.\nAnswer: -1.5, -0.3, -0.02831, 1.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.337159 - 0.337. Round b to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 52*c - 88.\nAnswer: -4*(c - 11)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y - 10*y**3 - y**3 - y + 5*y**2 - 5. Let c(p) = 9049 - 9056 + 13*p + 7*p**2 + 0*p - 16*p**3. What is -5*c(g) + 7*d(g)?\nAnswer: 3*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*j**3 + 1387 - 40550*j + 2*j**3 + 40600*j wrt j?\nAnswer: 33*j**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 277199219, 554398441, 831597663, 1108796885, 1385996107, 1663195329?\n\"Answer: 277199222*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7369, -7370, -7371, -7372?\n\"Answer: -d - 7368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2493*z**2 - 528*z - 23. Is s(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2505446102 + 28020909223673\/11184. Let y = -2\/699 + h. Let b = -4\/399 - 36293\/1596. Find the common denominator of y and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 24*x - 6*x**3 + 4*x**2 + 9*x**3 + 21*x**3 + 11 + x**4 + 27*x**2. Let b(u) = 12*u**3 + 15*u**2 + 12*u + 6. Let q(d) = -3*a(d) + 5*b(d). Factor q(z).\nAnswer: -3*(z + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 12*u**2 - 7*u + 5. Determine j(12).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u**2. Let i(l) = 20*l**2 - 3*l**2 - 9*l**2. Give i(o(g)).\nAnswer: 648*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*i - r, -3*i - 2*i - 15 = 5*r. Suppose x - 693 = -i*x. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 - 5*p**3 + 4*p**3 + 4*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49273485 divided by 1.\nAnswer: 49273485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-9))\/(1\/(-6)). Suppose 0 = -7*a + 87 + 4. Suppose -5*i = -3*f - a, -i - b + 1 = 3*f. Solve 12 = -i*l + 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 169176543 or 169176542?\nAnswer: 169176543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92895*h**2 - 6*h - 10879.\nAnswer: -185790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17 (b) 0.4 (c) -0.2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Suppose -5*v = p*o - v - 42, 2*v = 10. Let m = o + -7. Solve -18 + 1 = m*a - 3*q, 9 = -2*a + q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 3*f**4\/16 + f**3\/6 - f**2\/8 - 13. Factor g(w).\nAnswer: w*(w + 1)*(3*w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + -2 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -11*v - 1272292*s + 1272294*s, 35 = -5*v - 4*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -z - 587 - 128, 0 = -z + 5. What is the remainder when r is divided by -3 + (0 - -2) + (-1 - -63)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 88*y**2 + 16*y + 19. Let g be f(-1). Calculate the highest common divisor of g and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -1776.\nAnswer: 24864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 31*y = -13955, -y = -4*y - 3. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 24.35 (b) 1\/7 (c) -8 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 2*h - 1979. Let n be l(-44). Solve 43*b - n*b = 12 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-10)*(-775)\/(-310)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x*x**(-2\/55)))))\/(x\/(x\/(x\/(x*x*x*x**(-32)*x*x*x)))) assuming x is positive.\nAnswer: x**(-1483\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 5 (c) -26 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 2. Let v be z(2). Suppose -i - 2 = -v*i. Suppose -9*c = 8 + 1. Put 2, c, i in increasing order.\nAnswer: i, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 4. Let l(r) = 5*r - 12. Let y(v) = v - 1. Let s(z) = -l(z) + 6*y(z). Let h be s(-9). What is x(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o + 4*r = -0*r + 16828, 5*o - 4*r = 5972. Calculate the lowest common multiple of o and 275.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 8 - 0)\/(-1). Suppose -100 = -2*h - 18*h. Suppose -5*w + w + h*c + 257 = 0, 0 = -4*w + c + 253. What is the highest common divisor of a and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let u = -5587 + 5587. Let w(y) be the third derivative of 0*y**3 + 35*y**2 + u - 23\/12*y**4 + 0*y. Determine r(w(l)).\nAnswer: 46*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7662926?\nAnswer: 2, 127, 30169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3082710.\nAnswer: 2, 3, 5, 211, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven halves of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 3\/4724156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 1, -3, -576193 in increasing order.\nAnswer: -576193, -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = s + 2*y - 12, 5*y = 5*s - 270. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -934 - -912. Let l(z) = -z - 15. Determine l(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 22 = -i + 3*y, -16 = 3*i - 5*y. Suppose -3 - 3 = -i*b. Suppose -b*x + 3*k + 19 = -37, -3*x + 4*k = -83. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d - 5*o + 3392, -4*d = -o + 6784. Is d at least -1696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 4*l - 22, l - 3 = -d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 182 = -10. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (8 - (6 + 18)) - (-5 - -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - y**3 - 1\/2*y**4 + 0*y**2 + 0*y + 1\/2*y**5.\nAnswer: y**3*(y - 2)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 3 - 2\/(-2). Suppose 0 = 7*a - 2*a. Suppose 2*t = a, -6*p + p + c*t + 55 = 0. What is the smallest common multiple of p and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0 (c) 9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -2 - -8) + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -24 + 6 + 1 + -35.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 11:18 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 8*s + 3. Let u = 506 - 505. Let l be y(u). Which is the closest to -2\/5? (a) -0.1 (b) l (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.2, -0.3, 95?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -49\/88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (-1 + 0)) + 5. Suppose 4*u = -f - a - 18, 16 = -2*f + 5*u. What is the least common multiple of -2 + (0\/(-1) - f) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -21 (c) -17\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/1 + (-52 - -53)*-2*2. Which is the closest to 0? (a) u (b) -0.1 (c) -1\/8 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-4)*(-1)\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + -4*(-2*sqrt(12)\/sqrt(3))\/sqrt(2)*4) + 0.\nAnswer: -160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 358901991 to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -82335 divided by 15\nAnswer: -5489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 14213*y - 270074. Calculate h(19).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 2:12 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 + 5*w**2 - 4*w + 4. Let c be p(2). Is 6\/13 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 3. Suppose -3 = -7*j + 4*j, 4*f + j = z. List the prime factors of 1 + (f - 0 - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 80 (b) -428 (c) 1 (d) -4 (e) 2\/5 (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 8*b**3 - 2 + 2*b**3 + b**3 in the form i + m*b + h*b**3 + w*b**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 7*g - 1. What is m(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3998*l*u*z**3 - 61*l*u*z**2 + 154*l*u*z - 2*l*z**3 + l + 2*z**3 wrt z.\nAnswer: -23988*l*u - 12*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.2 (b) -5 (c) -6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(57)\/sqrt(27) + 0)*4 + (-4*-1*sqrt(95))\/(sqrt(25)\/(sqrt(5)*-2) + sqrt(5)))**2.\nAnswer: 896*sqrt(19)\/3 + 17200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1206 * -8745.\nAnswer: -1054.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 - 2*p**2 - p**2 + (2 + 6*p - 2)*(0*p + 4*p - 2*p) + 1 - 1 + 2*p**2.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 433*o + 5063. Calculate x(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, i: 3}. What is prob of sequence wii?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36800000 rounded to the nearest one million?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6075, 6076, 6077, 6078, 6079, 6080?\n\"Answer: m + 6074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a6 - 5?\nAnswer: -1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2, 0.013, -1\/9, 0?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbppbfte. What is prob of sequence pbp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-2 + 0 - 2)*(-3*f + f + 4*f)*(-7*f - 5*f - f).\nAnswer: 208*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -2*g**5\/5 + g**4\/2 + 2*g**3 - g**2 - 4*g + 14. Suppose z(s) = 0. Calculate s.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/14)\/(28 - 6439\/228) - 6\/(-14)?\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + (63\/6 - -3))*-38. Are -359 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 14*f + 10*f + 228 = 0. Sort 1, f, 3, 2 in descending order.\nAnswer: 3, 2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1345 = -r, -2757 = 5*v - r - 512. What is the remainder when v*4\/(-24)*2 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 514 * -10\nAnswer: -5140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 48*j - 43*j + 0 + 121*j - 25*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-1\/5)\/n*n*n))\/n*n**(1\/8))**(-13)\/((n**1)**(-2\/43)*n**(2\/21)*n**(-1)) assuming n is positive.\nAnswer: n**(820873\/36120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -47.5, 19.67, -0.3?\nAnswer: 19.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1571*z + 52909 + 21386 = -80*z for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/62238 and 93\/399740.\nAnswer: 49168020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*t**3 - 534483190*t**2 + 621026673267200*t + 54002323456000 = 0. Calculate t.\nAnswer: -2\/23, 2323840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 934179853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Let k be (372*(5\/(-10) + 1))\/1. Suppose -k = -6*d - 174. Solve 3*s + d*i = -15 + 3, -3*s + a*i - 12 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrjrrrjrrr?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 0 + 0*b**6 + 1\/3*b**3 - 71\/210*b**7 + 0*b**5 - 7*b**2 + 2*b - 37\/24*b**4. What is the second derivative of u(g) wrt g?\nAnswer: -852*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 741 + -405. Suppose 3*j - 273 = n. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c0459 + -24?\nAnswer: -2c0480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7 - -3)\/(20 + -5))\/(-2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.33 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 0, -7*a + 7*a + 20 = -4*n + 4*a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5, 3*i - d = d + 13. Suppose 2*r - 3*p - 11 = -4*p, -i*r - 2*p + 29 = 0. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 21, 43, 73, 111?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8336 = 4*r, z - 1965 - 125 = 5*r. What are the prime factors of z?\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*g, 44 = 3*y + 4*g - 9*g. Let z = y - 23. Factor 2\/5 - 1\/5*a**3 + 3\/5*a + z*a**2.\nAnswer: -(a - 2)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23057\/2 + 11155. Let f = -373 - o. Factor -1\/2*i + 1\/2*i**2 - f + 1\/2*i**3.\nAnswer: (i - 1)*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/6)\/((-2)\/66). Let s be (-16)\/(-7) + f\/(-77). Suppose -s = -j + 11. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8547825 and 7425?\nAnswer: 76930425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**3\/6 + 36*j. Calculate r(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 - 41. Suppose -157 = 4*f - y, f = -4*y - 0 - v. Let s = 82 + f. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001430859 to six decimal places.\nAnswer: -0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 6814 and 61334\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17570)\/(-180))\/(-7) + (-429)\/(-54) + -8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/(-714))\/(35\/(-28))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c + 22. Let h be p(2). Solve y - 3*y = 5*q - 4, y = 4*q + h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 2*q - 22 - 4, -2*q - 8 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/4123141 and -37\/1874155?\nAnswer: 20615705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g, -2*n + 94*g = 90*g - 276. Is 5 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v - 5*v + 3*v**2 - 3*v**3 + 2*v - 2*v**2. Is b(-2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511375769?\nAnswer: 79, 2311, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5474 and 9338?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(-4*q + 8*q + q) + (2*q - 2*q + 3*q)*(-7 + 2 + 2) + (0 + 0 - 2)*(-2 + 3*q + 2).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 795616 and 1349088?\nAnswer: 31029024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 154, 4*c + 345 - 176 = -3*c + 2*c - 2*y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*w - 2*y - 0*y, -5*w + 25 = 5*y. Suppose -18 - 22 = -w*j. Let z be (-92)\/(-6) - 2\/(-3). What is the highest common factor of j and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2) + sqrt(18) + 4 + -4)**2 + (3*sqrt(32))**2*3)*6*2.\nAnswer: 96*sqrt(2) + 10764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -4\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 145605957.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 11 + 4)*(-7*g + g + 2*g) + 5*g - 3*g - g + (-9 + 4*g + 9)*(13 - 27 + 8) + 2 + 2*g - 2 + 2.\nAnswer: -77*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 74 + 74. Let c(k) = k. Calculate f(c(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 684 + -678. Suppose 0 = 4*m - 7 - 1. What is the second derivative of 16*z - f*z**m - 2*z + z + 7*z**2 wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = -157 + 97 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 1:46 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/8 + 57*v**3\/2 + 925*v**2\/8 + 87*v.\nAnswer: -v*(v - 232)*(v + 1)*(v + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 102, 3\/5, -2, 0.4 in descending order.\nAnswer: 102, 3\/5, 0.4, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23299767 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Let k(h) = -h**3 + 6*h**2 - 3*h - 2. Let b be k(v). Suppose b = -5*t + 83. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -271611.\nAnswer: -271611.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/((150\/100)\/((-104)\/6))?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 15*z - 16*z = -46 + 90, -5*z = 2*u - 23 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5146 - 5146 + 236*g + (0*g + 3*g - 2*g)*((3 - 2 + 1)*(5 + 0 - 3) + 3 - 10 - 6) to s*g + v and give s.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 22475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 3. Let s be k - -9 - (-2 - -4). Suppose 3*f + 12 = s*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**5 + 6*l**4 - 408*l**3 + 4944*l.\nAnswer: 20*l**3 + 72*l**2 - 2448*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.582 to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5920 and 14413720?\nAnswer: 57654880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2)*(19 - 3). Let f(b) = 87*b - 38. Let o be f(2). What is the highest common factor of o and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r - 6*r + 24*r + 8024. Which is bigger: r or -1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*n - 88800, -n + 39346 = 2*a - 5058. Is a a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1792 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -556, -557, -558?\n\"Answer: -y - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 166955 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 81, 228, 437, 702, 1017, 1376, 1773?\n\"Answer: -n**3 + 37*n**2 + 43*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*d - 13*d - 119 = -91*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**2 - 3*b + 37 - 60938*b**3 - 41 - 2*b**2. Let y be x(4). What is y rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 7:51 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-55)\/(-2) - 0)\/((-2706)\/5412)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + (9 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*s = -4*s + 5822, 2*s - 4654 = -4*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -2*i - 18 + 2, -3*i + 5*s = -9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 - 5)*(-2 - 2 + 5)*(-2 - 2 + 2)*(4*x**3 - 10*x**2 + 10*x**2) + x**3 + 1 - 1.\nAnswer: 97*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29352, 168152, 544890, 1278534, 2488052, 4292412, 6810582, 10161530?\nAnswer: 14464224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x. Let z(g) = -g. Let t(n) = -m(n) + 2*z(n). Let j(f) = -f**3 + 5*f**2 + 6*f + 1. Let h be j(6). Give t(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 + 9 - 9.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*m - 22, -h = 2*h + m - 47. Suppose 5*w = 8 + h. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from {a: 2, u: 2, z: 1, j: 1, t: 1, m: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 0*i - 32400000 = 0. Round i to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1221 = 3*d, 2*d - d = 5*w - 413. Let g = 670 + d. Let t = 57 + g. Is t a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 1.1. Let f be 4\/(-6)*3\/7. What is the smallest value in j, f, 0.03?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/4 and -2\/158487.\nAnswer: 633948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 69 - 29. Let g = 4 + c. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 1175*v**2 - 8167*v - 126473. Give m(1182).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 48*x**2 - 63*x + 112. What are the prime factors of g(-49)?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -11968170\nAnswer: -1\/5984085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -5679\nAnswer: -1\/1893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-140)\/(-245) + 52\/(-42))\/(7\/(-27699)) is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - 16*c + 19. Let t be i(7). Suppose 0 + 0*n**2 - 7\/8*n**t + 1\/4*n**3 + 0*n + 5\/8*n**4 = 0. What is n?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -9.203839\nAnswer: 4.6019195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 521*r + 0 - 7 - 484*r.\nAnswer: 37*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*m - g, m + 76 = 3*m - 3*g. Suppose -m = -4*b + 32. What is the highest common factor of b and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5832 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13\/2 (b) -2 (c) -1\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-7)*14\/56?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + 0*j + j**4 + (7*j**3 - 4*j**3 - j**3)*(-10*j + 4*j - 104*j) to the form n*j + z*j**4 + v + p*j**2 + a*j**3 and give z.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -11*w + 18. Let z(l) = -21*l + 31. Let n(f) = -5*p(f) + 3*z(f). What is n(-4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (426\/(-105) - -4)\/((-5)\/(-150) + -11 - -11).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 + -40 + -1941 + 1952?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32421514*a - 32421558*a + 2024 = 0 for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324503935.\nAnswer: 5, 7, 3023, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 52\/5 of a millennium?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 - 328. Let m(j) be the second derivative of j**3\/2 - 2*j + 13. What is i(m(t))?\nAnswer: 18*t**2 - 328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = w - 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.8 + 5. Let f be (-24)\/(0 - 6)*(1 + 0). Which is the closest to 3? (a) f (b) i (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1965720962 - -1965723044.0001527. Let r = j - 2082. Round r to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.98 - 3.52. Let x = -176.5 - h. Which is smaller: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 - 4 - (22 + -25)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 643317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24113\/10 - -2408. Calculate the common denominator of c and -81\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-10) - 12\/(-20)*6. What are the prime factors of 1780\/((q\/12)\/(3\/24))?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m. Let d be n(5). Suppose 7*a = 3*a - 3*o + d, -3*a = 2*o - 4. Suppose -a*r**4 - 2*r**2 + r - 6*r**3 - 4*r**2 - 3*r = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -914478, -3657869, -8230186, -14631429?\nAnswer: -22861598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-360)\/16)\/5)\/(-6). Sort 1\/3, k, 1\/4, 4.\nAnswer: 1\/4, 1\/3, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2216 * 301.\nAnswer: -66.7016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(84*x + 8 - 81*x - 3)*(x - x - x).\nAnswer: -6*x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 2*g - 5. Let n be v(4). What is the third derivative of 0*z**2 + z**n + 0*z**2 + 3*z**2 - 3*z**3 wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 * 0.334.\nAnswer: 0.0501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000053684 to six decimal places.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107 by 72.\nAnswer: 107\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 - 4*p - 4. Let n(u) = -u - 1. Let z(l) = -l**2 + 4*l + 1. Let k be z(3). Let v = 867 - 868. Give k*n(o) + v*j(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -20, 8.\nAnswer: -20, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2353312 - 1?\nAnswer: -2353313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-2)*(-96)\/(-64).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**4\/12 - 8*a**3\/3 + 11*a**2\/2 + a - 31. Let o be j(-14). What is the greatest common divisor of 39 and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 0.0926, -0.4, -2\/11.\nAnswer: -4\/5, -0.4, -2\/11, 0.0926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 8:11 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -4430113310?\nAnswer: -4430113314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468324 a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 11 = 7. Suppose 1906 = 3*u + 4*v - 2*v, c*u + 3*v = 2542. What are the prime factors of u?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b. Let j(k) = k. Suppose -4*t + 9 = -t. Let n = 5 - t. Suppose -n*f = -7*f - 195. Calculate f*j(m) + 6*o(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 22, -25, 0, -38, 145, 1 in decreasing order.\nAnswer: 145, 22, 4, 1, 0, -25, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -8 + -235 + 267.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 732 + -42352. Round n to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 8 = -7*c. Let f(n) = 2*n**2 + 2*n - 4. Let o be f(-3). Suppose o*b + 20 = 4*b. Put b, -2, c in ascending order.\nAnswer: b, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f**3 - f**2. Let m be n(-1). Which is the second biggest value? (a) 3 (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -313 greater than or equal to -69704\/223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3599 + 124182 + 3918 = -2159*v for v.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24045 is divided by 942.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**2 - 3*k - 11. Determine q(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78222, -13, 6 in descending order.\nAnswer: 6, -13, -78222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 7*b**2 + 2*b - 8. Does 23 divide k(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 2 - -4) + -1. Let x = k - 0. Let j = -0.8 + 0.4. Which is the nearest to x? (a) 4 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292906 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -8575 >= -8575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 - (4 - 3)) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**4\/3 - 2*m**2 - 67*m + 2. Let x(s) = 704*s. What is n(x(f))?\nAnswer: -5632*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 73056?\nAnswer: 73056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*b, 4*d - 9*d - 5*b = 10. Solve 0 = -d*f - 3*f + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 3:02 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -253*-0.2\nAnswer: 50.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11716589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34598468 divided by -567188.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-3)*9\/(-6). What is the greatest common factor of x and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5804696?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21655 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5\/3)*r\/r**(-1\/4)*r**(-2)*r**(-3))**(1\/5))**(-2\/45) assuming r is positive.\nAnswer: r**(13\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, y: 1, f: 1, u: 5, q: 1}. What is prob of sequence zuyq?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -42. Let b be (-11)\/(22\/(-8)) + 7\/l. Sort 2, b, 39, 5 in decreasing order.\nAnswer: 39, 5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211.7641 rounded to the nearest 10?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 3*v**2 - 2*v**2)*(1 - 1 - v**2) + (1 - v**3 - 1)*(-2*v + 0*v + 9*v) + 2*v**4 + 4 - 4 + (-3*v**3 + 6*v**3 - v**3)*(2*v + 4*v - 4*v).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(1\/(-1)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + sqrt(17) + sqrt(17) + ((-1 + sqrt(17))*2 - sqrt(17)) + -1)**2.\nAnswer: -54*sqrt(17) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/sqrt(490) + (-3 + (sqrt(19) - 1*sqrt(19)) - sqrt(19)).\nAnswer: -6*sqrt(19)\/7 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -39 (b) 3 (c) 258.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13533539*h**5 + 2*h**4 - 24119729*h**2?\nAnswer: -812012340*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150712211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 43 (b) 19013 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1346461 (base 8) to base 10\nAnswer: 380209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 12:21 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -19\/5 (c) 1.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1292 + 4?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7847036034?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5676 and 355047.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 - 300588*r**3 + 1 + 300499*r**3.\nAnswer: -89*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -960\/331 + 153067\/41706. Calculate the common denominator of 5\/49 and d.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = q - 4*y, 3*q - 4*y - 9 = 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**3 - 197*v**2 - 1997*v. Suppose -3*w + 132 = 123. Let x(g) = 5*g**3 + 196*g**2 + 1996*g. Let r(t) = w*x(t) + 4*q(t). Factor r(m).\nAnswer: -5*m*(m + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 29*(-15)\/12 - 1\/(-4). Let u = l - -43. What is the derivative of -13*b + 3*b - 8 + u - 15 wrt b?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2. Let o(n) = 15*n**2 + n - 1. Let x be o(1). Suppose r = -s + 64 + x. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * 314441.\nAnswer: 5345497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-2)\/32*2). Suppose -2*h - 4 - q = 5*o, 0 = -3*o - 6. Let s be h - (-1 - 1)*-1. Are -3 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**4\/4 + g**3\/3 - g**2\/2 + 5*g. Let v be y(-2). Let i = 9 - v. Solve -4*j - i*d = 2, -d + 0*d = 5*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 - u**5 + u**4 + (u**3 + u**3 - 7*u**3)*(-4*u**2 + 3*u**2 - u + 3*u**2).\nAnswer: -11*u**5 + 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.46963 - 0.13037. What is the smallest value in 43, 5, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 + 55. Let i be -34*(d\/(-4) + 1). Let c = i - 15. Solve -15 = c*t - 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*o + 789171, -11*o = 4*g - 9*o - 3156756. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**7\/350 - u**6\/300 - u**5\/100 + u**4\/60 - 40*u**2 - 3. Factor f(b).\nAnswer: b*(b - 1)*(b + 1)*(3*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55507, -222069, -499675, -888331, -1388043, -1998817, -2720659, -3553575?\n\"Answer: -q**3 - 55516*q**2 - 7*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyy. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r + 2. Let p(v) = -v - 1. Let s(d) = o(d) + 3*p(d). Let g be s(-1). Suppose 11 + 59 = 5*w + g*k, -2*w = -4*k - 34. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 31, 37, 39, 37, 31, 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 11*g - 6, -2*l - 5*g = -27816. What are the prime factors of l?\nAnswer: 13913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 0) + -23 + 24 + -12?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 3*z + 1. Let y(d) = d - 1. Let f(v) = b(v) + 3*y(v). Let a be f(2). Let o = 25 - 21. Is o bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2 - 17*d + 66 = 0. What is d?\nAnswer: 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 315*t + 19927. What is w(-227)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 245 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-2))\/((-23925)\/(-3190))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2292858286 to the nearest 1000000.\nAnswer: 2293000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2628)\/1460 - 4\/(-5). Put -1\/4, 0.02, n, -12\/7 in decreasing order.\nAnswer: 0.02, -1\/4, n, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365075 a multiple of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v**2. Let n = 9 + -7. Let q(m) = -8*m + 9*m - m + n*m. Determine q(j(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2 - (-2 + -1)). Let t = -44 + c. Let l = t - -78. Calculate the greatest common factor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-4))\/(745\/596).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40) + sqrt(160))\/sqrt(2) - sqrt(20))\/(sqrt(1000) + sqrt(40))*-5)**2.\nAnswer: 25\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 9*o**5\/130 - 1156*o**4\/13 - 9260*o**3\/39 - 3088*o**2\/13 + 3138*o. Let r(i) = 0. Calculate i.\nAnswer: -2\/3, 772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 9*p - 16. Let i be q(-2). What is the hundreds digit of 6\/(-12)*(-4)\/i*2319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/4*4\/(-5). Let d be 1\/i*(-2 - -6). Suppose -d*r = -r - 12. What is the smallest common multiple of 18 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3 = 12. Suppose 5*a = -c*d - 2*d - 10, -3*a = d + 12. Let m(o) = 13*o - 2. Is m(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k + 282. Let c be b(-40). Solve 13*o + c = -50 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6651554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(525))\/(-3*sqrt(7)*-2 + sqrt(7) + sqrt(7)) - (-5 + sqrt(363) + -6*(1 + sqrt(363)) + sqrt(363)).\nAnswer: 11 + 357*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 - 16*i + 61 - 186 + 60.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 - 68. Let t be (-176)\/(-10) + c\/5. Calculate the remainder when (-46)\/207 - (-2830)\/t is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - 1 - f**2 + 21*f - 99*f + 9*f**2.\nAnswer: 5*f**2 - 78*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -532*t**3 - t**2 - 13*t - 8. Is s(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/((-280)\/(-90)))\/((-1)\/(-4)). Suppose z*y = -21*y + 285990. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 42, 8, 140, -2\/13 in decreasing order.\nAnswer: 140, 42, 8, 1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:47 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 6) + 2 + (18 - 9) + 3 + -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + -1 - (-12 - -17)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-5)*20\/16. Let s be (5 + -8 - 1)\/((-9)\/(-18)). Let l = -0.2 + -0.3. What is the second smallest value in l, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3698058 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 25 = -4*g. Let d = 12 - g. Solve -5 = 4*u + d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126917?\nAnswer: 7, 18131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -372, 39 in descending order.\nAnswer: 39, -22, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 0.053.\nAnswer: -0.00265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9080, 9079, 9078, 9077, 9076?\n\"Answer: -j + 9081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -a + 4*t + 26, a - 21 = 4*t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1183 = 2*f, d - 233 - 10 = 2*f. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 13*k + 3. Let t be g(-3). Let x = t + -12. Let c = -18 - x. What is the highest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 3418?\nAnswer: 13672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - -10?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29262, -29265, -29264, -29259, -29250?\nAnswer: -29237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, -3\/8, 2, 0, -0.068?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - u - 6536 = 0, 0 = 969*q - 968*q - 3*u - 2168. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2)*(-448)\/4*((-7)\/7)\/6\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 702756765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34921?\nAnswer: 47, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 137 + 109 = 0. Is 3\/227 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/17)\/p*p)\/(p*p\/p**(2\/11)))**28*(p**(-3\/8)*p*p\/(p*p**(-4)))\/(p**(1\/2))**(-1\/29) assuming p is positive.\nAnswer: p**(-2150153\/43384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3882946.\nAnswer: 2, 41, 47353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 18 - h**4 + 2*h**2 - 10 - 9 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3\/4)\/m*m)**42*((m\/m**(-2))\/m)**(-2\/19) assuming m is positive.\nAnswer: m**(391\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j - 8. Let v(g) = 6*g + 14. Let q(h) = 3*d(h) + 2*v(h). Let a = 8 + 7. Suppose 5 = a*n - 14*n. Give q(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of -9 + (5 - (-3254)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, c: 1, m: 4, u: 5, h: 2, q: 7}. What is prob of picking 1 u, 2 q, and 1 h?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + -9. Let c = -20.18 - g. Let j = 3.78 + c. What is j rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-4)*(-131)\/(-5895)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.161 - -1.23. Let a = l + 0.003. Let f = a + -0.07200042. What is f rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -4\/3, 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 18*t - 9. Let s be (2\/(-4))\/(-3*5\/(-1500)). Calculate the least common multiple of 20\/s + 67\/5 and p(-10).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 + -3. Let i = 383 - 371. Let p be -5 - (-230)\/69*i\/10. Is p > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2533371 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n - 5*b = -169, -5*n + 3*b + 327 = 0. What is the greatest common factor of n and 2034?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1795*t + 2 - 2 + 0.\nAnswer: -1795*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.9 and 63?\nAnswer: 119.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyyyyyuuyuyyu. Give prob of sequence yyu.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 1)\/((-6)\/(-8)). Let k(a) = -6 + l + 4 + a**2. What are the prime factors of k(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/125)\/((-3)\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t - 2*t - 137 - 2*t + 2*t**3 + 47*t**3 wrt t.\nAnswer: 147*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665 (base 8) in base 4?\nAnswer: 32311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -2122303233?\nAnswer: -2122303223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/2)\/3 + (-5)\/10. Put v, -1, 3, -5 in ascending order.\nAnswer: -5, -1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -2\/847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38*((-272)\/32 - -9). Solve -62*g - f = -43*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 27*u - 27. What is m(-22)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**3 + 3*r**2 + 4*r - 15. Let s(h) = 4*h**3 + 5*h**2 + 7*h - 29. What is -5*l(d) + 3*s(d)?\nAnswer: 2*d**3 + d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 13, -2\/9, -1.34, 8?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2001 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.569 and 0.121.\nAnswer: -0.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 523 + -5570?\nAnswer: -5046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1250*g - 603736. Calculate a(483).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -68. Let g = -21 - n. Solve 0 = 5*m - 8*m + 6, 5*j - g*m = -15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.5. Put x, -5\/2, 5\/2 in increasing order.\nAnswer: -5\/2, x, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36966 + 36966 - 3777*p**2 to k*p**2 + w + h*p and give k.\nAnswer: -3777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 271.35558us in hours?\nAnswer: 0.00000007537655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, s: 12}. What is prob of picking 3 d?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 22*q**2 - 23*q - 1. Let b be (-234)\/10 + (-4)\/(-10) + 0. Let c be m(b). Which is smaller: c or -3\/31?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -33 + 168. Let a = m - 48. Let b be ((-8)\/(-6))\/(6*-1). What is the smallest value in b, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2304 and 57051072?\nAnswer: 228204288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k**13)\/k*k)**(-13) assuming k is positive.\nAnswer: k**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 115, 1247, 2.\nAnswer: 0.4, 2, 115, 1247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 582 and 707?\nAnswer: 411474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*r = 20, 4*s - 5*r = -s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*t + 68*t + 94*t = 308*t + 336 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6933659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 15*g - 10 = 0. Let c be ((-141)\/(-6))\/(5\/g). Suppose 5*y - c = 688. Is 26 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -62*n**5 + 314*n**4 - 268*n**3 + 16*n**2 = 0.\nAnswer: 0, 2\/31, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 191205666 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 3:27 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + sqrt(81)\/(sqrt(9)\/sqrt(3)) + 1*sqrt(1728) + sqrt(1728))\/((sqrt(9) - (sqrt(63)\/(sqrt(7)*1) - sqrt(9)) - sqrt(9)) + 2*sqrt(81) + sqrt(9)).\nAnswer: 18*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 5) + -1 - (0 + -17). Suppose -9*y - 1765 = -p*y. List the prime factors of y.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 8392?\nAnswer: -8391.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -639 - -718.1. Let t = z + -67. What is t rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 45, 115, 241, 441, 733, 1135?\nAnswer: 1665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ac (base 14) in base 15?\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*b - 42*b - 600 = 0 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -48011 - 2072?\nAnswer: -50083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + k + 228, k + 9 = 1. Which is smaller: n or -3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/16 of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 3*o - 12. Suppose 0*q - o = 2*q, q = -4*x + 10. Suppose x*j - 74 = -u + j, 4*u + 4*j = 304. Calculate the remainder when u is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22841*d = -3211727 + 859104 for d.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*m + 53. Let a(p) = -p**3 + 14*p**2 - 7*p + 1. What is the remainder when a(13) is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3 - 18007 = 10*z, -18080 = -3*i - 4*z. What are the prime factors of i?\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46645, -373278, -1259935, -2986654, -5833473?\nAnswer: -10080430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340964587.\nAnswer: 43, 101, 78509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u**5 + 8856*u**4 + 80324*u**3 - 333744*u**2 + 306992*u - 62400 = 0 for u.\nAnswer: -12, 2\/7, 1, 2, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1133*o + 2487*o**2 + 56*o**3 - 2487*o**2 - 1133*o - 1.\nAnswer: 56*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5969111781 + 2522258770. Let s = -3446853071.99999959 - h. Let n = s - -61. Round n to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**9\/504 + c**8\/840 + c**3\/6 - 8*c**2. Let x(r) be the first derivative of v(r). Factor x(k).\nAnswer: -2*k**4*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 61380?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l**3 - 4*l**2 - 39*l + 15. Let y(p) = p**3 + p**2 + p + 1. Let k(v) = -s(v) - 4*y(v). Differentiate k(o) wrt o.\nAnswer: 6*o**2 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 6. Calculate the remainder when r is divided by 16 - 2*(-30)\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 25763?\nAnswer: 25764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-636)\/(-10))\/((-8)\/(-20)). Suppose 4*l + 45 = 5*l + 5*y, -h = -5*l - 3*y. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185065 divided by -5.\nAnswer: -37013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1453, -1481, -1509, -1537, -1565?\n\"Answer: -28*t - 1425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*(i*i\/(i\/i**(-1\/3)))\/i)))**(13\/6)*i**(-3)*i**(-10) assuming i is positive.\nAnswer: i**(-104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 + 418)*29\/58?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0 + 0)*(-12 - 7 + 3) + 5*b + 3*b - 4*b + 3*b + b - 2*b + (b + 4*b - 4*b)*(1 + 3 - 3).\nAnswer: 39*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)\/l*l\/(l\/(l\/l**(-3\/5)))*l*l assuming l is positive.\nAnswer: l**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 - -2 - -1 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -17. Let o be (-12)\/(-5)*500\/75. Which is smaller: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5253, -11, 3842 in descending order.\nAnswer: 3842, -11, -5253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 8*q - 84 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -317*l + 285. What is the ten thousands digit of t(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 208 - 232 - (-21 + -3) - (46 + 0).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -2*c - 76. Suppose -8*i + 5*i = -12. What is the greatest common divisor of i and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -547248900 to the nearest 1000000.\nAnswer: -547000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-1)\/(-8)*-26. What is the closest to 0.2 in -3, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*u = 31*u + 290536 - 33028. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, -8, 4, -2, -318 in decreasing order.\nAnswer: 4, -2, -3, -8, -9, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -97390, -97661, -97932, -98203, -98474?\n\"Answer: -271*q - 97119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.06\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 63 - 382 + (2 - 7 + 3)*(-2 - 1 + 0))*(2*p + 5*p - 3*p)*(-4*p**2 - 2*p + 2*p).\nAnswer: 4976*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 8*n**2 + 15*n + 34. Determine h(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2322 is divided by 2273?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*f + 169 = -5*t, 5*f + 20 = 0. Let x be 54\/t*(-4)\/6. Let m = 0.3 - 0.5. What is the third smallest value in m, x, -10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86559780.\nAnswer: 2, 3, 5, 29, 49747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15 and 7.768321.\nAnswer: -7.231679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 1710300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 4, 6, 1, 83.\nAnswer: -3, 1, 2, 4, 6, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1622 is divided by 149.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-23 - (-14 + 6 - 16))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 832, 829, 826, 823?\n\"Answer: -3*q + 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 y, 1 c, and 1 i when four letters picked without replacement from iyyiipyiilcci.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 108 (c) 17 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(132)*-1 + sqrt(132) - sqrt(132)))\/(sqrt(12) + (sqrt(12)*1*-1 - sqrt(12))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(570\/65)*(-1156)\/(-3757).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywyyyyyyyyywddd. What is prob of picking 2 w and 2 y?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11555183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -454284160 - -4?\nAnswer: -454284155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.00420954885 and 55.\nAnswer: 55.00420954885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 260\/136 + (12 - 14). Which is smaller: m or 6\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j**3 + 4*j**2 + 11*j - 7. Let x(s) = -2*s**3 - s**2 - 3*s + 2. Let n(w) = -w**2 - 21*w - 132. Let l be n(-11). What is l*x(p) - 6*h(p)?\nAnswer: -10*p**3 - 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9628?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66326040611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000 a factor of 84286000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1127128*h**3 + 6*h**2 + 5*h - 4. Is x(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-24)*((-6)\/(-38))\/((-3)\/(-3))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000692014087 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*(c**1\/c)\/c)\/c*c)**(-3\/8)*(c**1)**(-1\/7))**(-16) assuming c is positive.\nAnswer: c**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(1 - 3)*2. Is -1 + 0 - (-62 - g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqqz when four letters picked without replacement from qqqzqqqqqzzzqqqzqq.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**3\/x*x))**(1\/62)*x**3\/x**(9\/5) assuming x is positive.\nAnswer: x**(181\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 980 divided by -196?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-6 + 2 + 11 + -12) - 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -72*w - 1 + 2 - w**2 + 70*w. Let p = -22 + 15. Let t = -12 - p. Give d(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720050 is divided by 132.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245881 is divided by 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 5*a + 0*a + (-14 - 49 + 32)*(2*a - 6*a + 2*a))*(1 - 6*a**2 + 0*a**2 + 4*a**2) in the form q*a**2 + i + m*a**3 + k*a and give m.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 608, -42, 2, -1 in increasing order.\nAnswer: -42, -1, 2, 608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 8:28 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52946997.\nAnswer: 3, 2633, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = -0*g + 3*g. Suppose 13*u - g = -2*u. Let v(f) = -f**2 + 8*f - 6. What is v(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3477.34 - -3471. Let m = -31 - -31.66. Let h = m - t. Sort 2\/7, 0.5, h in decreasing order.\nAnswer: h, 0.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2633*m - 33. Does 23 divide a(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 74.0646 millimeters?\nAnswer: 0.0740646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 + 0?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 20*z**3 - 443*z**2 + 443*z + 44. Determine b(21).\nAnswer: -796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 53*b + 29*b + 10*b.\nAnswer: -2*b**2 - 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-117)\/(-108))\/(-13))\/((-4)\/40)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**4\/24 + a**3\/2 + 35*a**2. Let k be u(-10). What is the highest common divisor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -17*a - 20. Let j(p) = 15*p + 19. Let m(s) = 4*i(s) + 5*j(s). Let z be m(-2). Is z\/((-4)\/(7036\/(-7037)) - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 7*s + 2. Let g(l) = l**3 + 2*l**2 + 2*l + 2. Let a be g(-2). What is the lowest common multiple of y(6) and (-3)\/2*a\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-58)\/(-18) + 2\/(-9). Suppose 6 = 5*v + m, 0 = -5*m + m - 16. Let d = v + -1. Solve d = 2*k + l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 1579*d - 1574*d + 38, -74*d - 444 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11034 and 3933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from {v: 2, i: 4, a: 2, b: 4}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 935*j**2 - 61*j - 112. List the prime factors of l(7).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 - -94. Suppose 0 = 2*b - 3*k - 105 - 17, b - 5*k = 68. Let t = b + y. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 242 and 9636?\nAnswer: 105996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 7. Let x(m) = m**3 - 3*m**2 - 2*m - 2. Let b be x(k). Solve 2*o + 16 = b*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cffccccccccc. What is prob of picking 1 f and 2 c?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 2)\/((12 - (-12)\/(-6)) + 6696\/(-675)). Let m = -6 + 8. Solve 0 = -5*q + j, -m*k + 3*q = -3*k + 13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j**3 - 45*j**2 + 69*j + 41. Let h(g) = -3*g**3 + 15*g**2 - 25*g - 13. Let y(q) = 11*h(q) + 4*k(q). Calculate y(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2544 and 209562.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zczztzzzcpzp. Give prob of sequence ptc.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 553\/(-28) - 2\/8. Let d be -6*(-1)\/(w\/2). Suppose -10 = 4*q + 6. Which is the closest to 0? (a) -2\/3 (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 34 - 42. What is the smallest value in -0.01, 2\/11, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q*q**(4\/7))*q**(-29)\/q*q*((q*q**(1\/31))\/q*q)\/(q**1\/q) assuming q is positive.\nAnswer: q**(-5976\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - -4 - (-2 - (8 + 2) - (20 - 23))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3025*a**2 + 23*a - 13. Let n(v) = -4*v. What is n(m(q))?\nAnswer: 12100*q**2 - 92*q + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*p = 52, 15 = -2*h - p + 31. Let o = 2 - 1. Let g = 1 - o. What is the closest to g in h, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2740 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1006 = 5*z + 3984. Let d = -637 - z. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*q + 455*q = -157*q - 47426 - 27199 for q.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*i + 14, -r = i - 5*r + 14. Which is the closest to -0.1? (a) 5 (b) -8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(6\/7))*p\/p**(3\/8)*p*((p*p**4)\/p)**(9\/10))**(3\/7) assuming p is positive.\nAnswer: p**(5109\/1960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44324 + 44325. Let k = 3 + -2.9. Suppose -d - 2*d = -12. What is the third biggest value in 11, k, s, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - 41627*w**2\/4 + 108295242*w + 108305649.\nAnswer: (w - 20814)**2*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 64 = -2*x, 4*x = -2*v + 42 - 2. Suppose v*l = 12*l + 30. Let p be (4\/3)\/(-2)*-6. Solve 3*t + j = 16, -t + 3 - l = -p*j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847 is divided by 175.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*k**3*u**2 - 6251*k**3 - 40897*u**2 wrt k.\nAnswer: -9*k**2*u**2 - 18753*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three sixths of a year?\nAnswer: 46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319 + 0*z**3 - 9*z**3 - 264 + 583.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20071 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: Let l be ((-29)\/203)\/(2\/(-6)). Put 3, 5, 1\/2, l in increasing order.\nAnswer: l, 1\/2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(30)\/sqrt(6) + 3)*-3)**2 - (sqrt(75)\/(sqrt(15)\/sqrt(5)))\/(sqrt(320) + sqrt(320) + 2*sqrt(320) + sqrt(320)).\nAnswer: 719*sqrt(5)\/40 + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m - 1 + 1)*(-60*m + 65*m - 64*m)*(-10 + 2 + 3) in the form q + o*m**2 + k*m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 4*p + 160. Let v be 2 + (-124)\/p + 1. Which is the second biggest value? (a) 0 (b) -2\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -b7b782?\nAnswer: -b7b77b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 24.43. Let o = r - 0.13. Let y be (-5)\/2 - (0 + -2). Which is the biggest value? (a) -4 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, g: 2}. Give prob of picking 2 w.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/3 + 364*h**2 + 45846*h - 3203560\/3 = 0.\nAnswer: -283, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 459, 921, 1383, 1845, 2307, 2769?\n\"Answer: 462*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnsnsnnnsnnxsnnss?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1217919, 1217911, 1217903, 1217895, 1217887?\n\"Answer: -8*y + 1217927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18304156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2341 to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1702 - 1702.5. Let w be 2*((-3)\/(-2) + 2). What is the fourth smallest value in 1, w, q, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 14*s - 76, k - 2*s = -393 + 381 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.19 - 12.49. Let t = u - -10. Suppose i + 44 = 5*b + 57, -16 = 2*b + 5*i. Sort b, 2\/11, t in increasing order.\nAnswer: b, t, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6067600 times 0.2?\nAnswer: 1213520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.72 - 14. Let h = l + -2.12. What is the second smallest value in 0.5, h, 7\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (0 - -4) - 11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 - -88.9. Let b = 15.9 - i. Let k = 5.6 + -6. Sort -0.2, b, k in decreasing order.\nAnswer: b, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 8:22 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 71 = 7*j, 0*j - 21*j + 3*v + 222 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -5002 + 7651. Does 100 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -419, 0, 1, -4 in decreasing order.\nAnswer: 1, 0, -4, -419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 20 - 4. Let z(y) = y**2 + 3*y - 8. Suppose 2*v + 5*h = 5*v + 19, 3 = 4*v - h. What is the least common multiple of z(c) and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 10*x + 3*x - 15*x)*(-2*x**2 + 0*x**2 + 0*x**2).\nAnswer: 4*x**3 - 80*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:14 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 13181 = 2*m, k + 5*k - 79156 = -2*m. List the prime factors of k.\nAnswer: 5, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -2. Suppose 3 = -l + r. Differentiate -6*z**l - 5*z + 5*z**2 - 4 + 5*z wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 o, and 1 s when four letters picked without replacement from {w: 1, j: 2, o: 3, s: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h = -40. Suppose 0 = -t + x + 7, 9 = -4*t + 5*x + h. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 9. Let a be i(9). Find the third derivative of -a*c**2 + 14 - 14 + 4*c**6 - 3*c**6 wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/3*r**5 + 0*r**2 + 0*r + r**3 - 4\/3*r**4.\nAnswer: r**3*(r - 3)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/5 - 21*u**2\/5 + 39*u\/5 - 19\/5.\nAnswer: (u - 19)*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 852449683 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: Rearrange (-z + 0*z - z)*(-4 - 4 - 1)*(-3 + 3 - z) to j*z**2 + n + r*z and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.46 + -170.44. Let a = v - -173. Sort 4, -3\/8, -54, a.\nAnswer: -54, -3\/8, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Suppose 0*m + 3*m = 0. Suppose r*p - 3 - 5 = m. Solve p*c = 2*c - 4*z + 16, -3*c = 2*z - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*o + 24. Solve 0 = -2*x + c + c + o, 3*c + 12 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 7555.711.\nAnswer: 7555.711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2187.28 + -20.\nAnswer: 2167.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2*l - 24. Let k be ((-6)\/9)\/((-2)\/l). Let y(h) = -3*h**k - 3*h**2 + 3*h**2. Let p(o) = -o**2. Determine p(y(c)).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8 - 3*c - 7 + 650104*c**3.\nAnswer: 650104*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 36*w. Let v(f) = 5*f**2 + 179*f. Calculate -11*m(i) + 2*v(i).\nAnswer: -i**2 - 38*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -77ae + -f4a?\nAnswer: -86f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - l + 6 = 3, 0 = 4*c - l - 5. Which is smaller: 47\/20 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924356.\nAnswer: 2, 179, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - 6\/(-23)*8?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 85494.\nAnswer: 341976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 2. Suppose 4*n = t*a, -4*a + 2 = -3*n - 8. What is the second derivative of 2*h + h**4 + 4*h**4 - a*h**4 wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 > 79020\/10969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1364 is divided by 492?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5 = 0, 6*n + 6 = -2*p + 4*n. Suppose p*u - 108 = 5*i, -3*u + 0*i = 5*i - 212. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2518 - -0.251797557. Round j to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**4 + 6*r**4 + 0*r**4 + (12 - 6 + 26)*(r**2 + 0*r + 0*r)*(-3*r**2 - 2*r**2 + 4*r**2).\nAnswer: -30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24426867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) -5 (c) 9 (d) -110 (e) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 13 = 10. Suppose 6*x - g*x = 12. Suppose 3*y + 8 = -4*a, 0 = 3*y + a - x*a - 27. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13cd (base 14) to base 4\nAnswer: -312321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27303, -27262, -27147, -26922, -26551?\nAnswer: -25998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166740860, 166740867, 166740872, 166740869, 166740852?\nAnswer: 166740815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7470 (base 9) to base 2\nAnswer: 1010101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 1. Let i(l) = 6*l**3 - 2*l**2 + 1. Let m be i(-1). Give c(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -181, 17, -2.6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 23740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2515963?\nAnswer: -5\/2515963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - y + 446. Let t be i(0). Let d = t + -897\/2. What is the second biggest value in d, -1, 1\/10, 2\/9?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1011*g - 11085. Let x be m(-11). Let r(d) = 15*d - 6. Let c be r(6). What is the greatest common factor of x and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181780265 to the nearest integer?\nAnswer: 13483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - (-8 - -18))\/((-4)\/7). Solve -2*d + n = 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -2*m**3\/3 - 11*m**2\/2 - 3*m. Let t(l) = -15*l - 43. Determine -6*t(c) + 22*z(c).\nAnswer: 2*c + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, a: 5}. What is prob of picking 2 v?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*w + 26 - 21*w - 26 + 38*w.\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((121\/165)\/(-11))\/((-3)\/15). Put -2\/9, 1, p, 0.068 in descending order.\nAnswer: 1, p, 0.068, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -10*z**2 + 70*z + 2. Give q(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -3*g**7\/70 + 2*g**5\/15 - 2*g**2. Find the third derivative of b(v) wrt v.\nAnswer: -216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 1127\/116?\nAnswer: 1127\/116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240211*i**2 + 299470*i**2 + 325970*i**2.\nAnswer: 385229*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*l - 44 = 12*j - 153*l, 4*j + 5*l = 42 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 + 4*d + 3. Let r be w(-3). Let o = 487 - 470. Which is smaller: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/3672 and -31\/2754.\nAnswer: 11016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*u + 8 = 0, 0*w - w = -3*u - 6. Let n be (-2 + 3)\/(w\/(-15)). Let o(t) = -2*t - 4. Let f(l) = -3*l - 5. Give n*o(q) + 4*f(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201021001 (base 3) to base 16.\nAnswer: -36d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.015 (b) -8 (c) 4\/7 (d) -1\/2 (e) 164\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 less than 0.2509775?\nAnswer: 3.4509775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (27\/(-30)*-2)\/((-3890)\/300 - -13). Calculate the greatest common factor of 1746 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 smaller than 494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7715.42 * 0.63.\nAnswer: 4860.7146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 7 = 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vff when three letters picked without replacement from {f: 5, s: 2, w: 1, z: 1, l: 5, v: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvvavawdvwwavyw. What is prob of sequence vad?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82655700 and 475.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -258?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 59413936*a - 59413938.\nAnswer: 2*(a - 29706969)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5. Let m = 22 - o. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 9:41 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 85024508 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(931))*2 + 4 + -2)**2 + 2*-6*((2*sqrt(931))**2 + sqrt(931))*2.\nAnswer: -85636 - 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**3 - 618*n**2 + 4773*n - 4158 = 0.\nAnswer: 1, 7, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 < -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 337092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 10*u**3\/3 - 9*u**2 + 36*u. Let c be d(4). What is the highest common divisor of c and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**18*r)\/r)\/r*r\/(r*r*r**(9\/4)\/r) assuming r is positive.\nAnswer: r**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -147, -3, 2, -13 in descending order.\nAnswer: 2, -3, -4, -13, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621 + 621 + 1169*l**3.\nAnswer: 1169*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.0549743\nAnswer: 0.1099486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a millennium in years?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/(7\/210*6). Let g = 36 - w. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 d when four letters picked without replacement from {d: 7, c: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from {e: 2, n: 5, h: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 9*z**2 - 2*z + 322. What is the remainder when 167 is divided by v(-11)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (170\/(-51))\/(4\/(-6)). Suppose k*n = 10 - 20. Calculate the remainder when 8\/n + 28 + 3 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3*(-2)\/(-6))\/((-2)\/886) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g + 5*x - 582, 5*x = -3*g - 419. Let w be 2\/11 + 26\/g. Solve v + 4*y = 21 - 8, 4*v + 2*y - 10 = w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28295, -113176, -254635, -452678, -707311, -1018540, -1386371, -1810810?\n\"Answer: -l**3 - 28283*l**2 - 25*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*l + 5*l. Let w be (3*-3)\/l + 0. Do w and 0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1089 is divided by 68?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**6\/2 + 6*j**5\/5 - 3*j**4\/2 - 8*j**3 - 21*j**2\/2 - 6*j + 570. What is y in w(y) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562915091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 1:13 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 377?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -994 - -1022. What is the remainder when o is divided by ((-2)\/4)\/((-1)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350355 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 67, -5, -6, -4 in decreasing order.\nAnswer: 67, 3, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-198))\/((-56)\/252)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-42) - (-4)\/(-14). Suppose q - 48 = -3*q. Calculate the remainder when q is divided by (6 - -3) + g + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 29.9179 and 0.1.\nAnswer: 30.0179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3 = 1. Let t be g\/3*-1 - (-35)\/21. Solve 15 = 3*u + k, -2*u + 5*k = t*k - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 858?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -86, -106, -112, -98, -58, 14, 124?\n\"Answer: p**3 + p**2 - 30*p - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120364111?\nAnswer: 7, 17194873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -124*d + 23. Let z = -9 - 7. Let j = z + 2. Is v(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**2 - 13*m**2 + 466*m**3 + 197*m**3 - 4482*m**3.\nAnswer: -3819*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z - 67. Let u(c) = -36*c - 34*c + 423513*c**2 - 423511*c**2. Determine u(w(h)).\nAnswer: 8*h**2 - 676*h + 13668","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/36 + (-26)\/(-117). Which is bigger: -9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*n + 10*n + 11*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -36. Let v(p) = -3*p - 12. Let y be v(d). Let t be 4\/y - (-69)\/(-189). Are t and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -667439\nAnswer: -15\/667439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v = 0. Let a be 2\/42 + (-115)\/161. What is the nearest to 0 in 5, a, 3\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - 40*w**2 + 74*w**2 - 36*w**2 + 228 to the form m*w**2 + q + a*w and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-3 + 137 + -3). Calculate the common denominator of 113\/12 and (-355)\/s - (-2 - -2).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v + 4. Let w(d) = -7*d + 5. Suppose k + 9 = -2*k, -2*n - 2 = 4*k. Let l(t) = n*a(t) - 4*w(t). Let u(p) = 10*p**2. What is l(u(r))?\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -51. Suppose -19*b + 22*b - 9 = r. Let i(p) = -34*p + 552 - 552. Let q(d) = 7*d. What is b*i(l) + 14*q(l)?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-9 - 1) - -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 7:55 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-251)\/(162648\/720))\/(10\/(-12)))\/((-4)\/(-372))?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2862149 - 314.6711851. Let s = 315 + v. What is s rounded to 3 decimal places?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.760836 millennia?\nAnswer: 77.60836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 283*a**2 - 23*a - 16. Suppose 16*o = -0*o - 448. Let z be w(o). Round z to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/9 + 35276*b**2\/9 + 70528*b\/3.\nAnswer: 2*b*(b + 6)*(b + 17632)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*n - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -13*q**2 + 11*q - 7. Let t(j) = -3*j**2 + 3*j - 2. Let f(z) = 2*i(z) - 9*t(z). Let h be f(4). Solve -g = -h - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1391 at least -6956\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.346760515 to 4 decimal places.\nAnswer: 0.3468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1734 and 11.\nAnswer: 19074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.4. Let p = -4 + 11. Let k = -11 + p. Sort k, l, 0 in increasing order.\nAnswer: k, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -6*i**4 + 47444*i**3 + 1319190*i**2 - 15711300*i = 0.\nAnswer: -110\/3, 0, 9, 7935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30464175+294\nAnswer: 30464469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 - 2*w**4 + 430 + 3*w**2 - 217 - 217 as r + a*w**4 + x*w**3 + k*w + s*w**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59474 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) - 34\/(-10). What is the smallest common multiple of -3*((-18)\/3)\/w and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 25 = 2*z, 3*z - z + 3*l - 19 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -79000000 to the nearest 1000000.\nAnswer: -79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 301 + -266. Let t = -50 + 10. Let z = q + t. Which is the second smallest value? (a) 11 (b) z (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3)*((-14)\/7 - 1). Let y(f) = f**2 + 7*f + 4. What is the remainder when u + (4 + 128)\/4 is divided by y(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - (-56529 - 10)\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164 and 1784.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2302 - 2?\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttutu. What is prob of picking 2 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.83472 in -3, -1, -6, -2\/7, -2, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*i - 28845 = 28*i. Calculate the remainder when i is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -984830, -1969673, -2954514, -3939353?\n\"Answer: t**2 - 984846*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 x when four letters picked without replacement from xxxxxpxx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 171754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*h**2 - 3 + 78*h**2 - 28*h**2 + 2*h - 27*h**2 to the form b*h**2 + j + g*h and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/2 + (-10)\/20. Let x(i) = i**2 - 6*i**2 + 3 - i**2 - i**3 + 2*i + c. Calculate x(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102760 or -102762?\nAnswer: -102762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 8. Let x be k(-6). Suppose -x*h + 360 = -0*h. Is 30 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3123209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - m - 2. Let w be g(-2). Suppose f - 5 = 3*p + 31, 0 = -p + 5*f + 2. Let d = w + p. Is d less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 8597988.\nAnswer: 1\/8597988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**4 + 12*f**3 + 791*f.\nAnswer: -12*f**2 + 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 0 + 3)**2 - (-1*sqrt(99)*2 - sqrt(99)) - (sqrt(99) + ((sqrt(99) - (3 + sqrt(99)))**2 - sqrt(99))*-4 - ((sqrt(99) + 3)*-1)**2).\nAnswer: 30*sqrt(11) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00064754 to five decimal places.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**4\/4 - 4*s**2 + 14*s + 54. What is the hundreds digit of t(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-158)\/(-180) - 125*(-40)\/(-6000)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 2*o**2 - 8*o + 8 + 0. What are the prime factors of b(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113.6 + -71. Let h = r + -12. Let k = h - 31. Which is the third smallest value? (a) k (b) -1\/7 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253016 divided by 8?\nAnswer: 31627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -21, 0, 3, 7 in decreasing order.\nAnswer: 7, 6, 3, 1, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89 and 979?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -3*z**2 + 1\/60*z**5 + 0 + 2\/3*z**3 - 1\/6*z**4 + 0*z. Solve b(v) = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*j - 16 = -46*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 246*f - 249*f = 3132, v - 3135 = 2*f. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 199808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/304 and 53\/31104.\nAnswer: 590976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -18, 51, -199, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + -18 - (-3 - -19).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 13 (c) -2\/3 (d) 70 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 5*l**7\/63 + 5*l**6\/36 + l**5\/24 - 27*l + 31. Let x(i) be the first derivative of r(i). Factor x(a).\nAnswer: 5*a**3*(a + 1)*(4*a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1023013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(2 + -1) - (-56 - (12 + -60))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 0.5 (c) -3\/4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5613 + 5609. Let h be (6\/4)\/(81\/12). Which is the third biggest value? (a) 0.3 (b) q (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2 + 0*h**3 - h**2 + 5*h - 3 - 8*h**3 + 4. Is j(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -41 + 13. Let f(m) = -m + 10. Let b be f(r). Let p = 0 + 26. Solve -n = -5*j + p, -19 = -j - b*j - n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 7:44 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Let x(a) = a**2 - 2*a - 1. Let n be x(3). Let m(s) = 5*s - s + n*s + 0*s. Calculate t(m(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 + 20*r**2 + 24*r - 58. Determine s(9).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 + t**2 + 3*t**2 - 2 - t + 10 to y*t**2 + j*t + w and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46068, -92139, -138210, -184281?\nAnswer: -230352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*p + 4*g - 2, -5*g = -3*p + 16. Suppose p*x - 18 = -q, 2*x + q - 26 = 4*q. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0)\/(1\/(-2)) + 3. Is -7 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50055265\/6169 + 8114. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x - 49. Determine m(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 2*r - 2*p = -2, -21 = -3*r + 5*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74546 is divided by 4136?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111759, 223546, 335333?\nAnswer: 447120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/36 + (-10)\/(-45). Suppose -40*x = 5*n - 41*x + 23, 2*x - 6 = 2*n. Put n, 46, -1, a in increasing order.\nAnswer: n, -1, a, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g + 8 = 0. Let q(o) = o. Is q(g) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13303330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/464 and 97\/152166248.\nAnswer: 304332496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1859, -3723, -5603, -7499, -9411, -11339?\nAnswer: -13283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3*r - 14 = -3*s, 3*r + 4*s = 2. What is the remainder when 2464\/42 + r\/(-6) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214 - -126. Let u = -167 - w. Let g = -81 - u. What is the biggest value in -1\/2, -1, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.756371ug?\nAnswer: 0.008756371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 325873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/77*7\/10.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z - 60 = -64*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 73, 110, 147, 184?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 21*l**4\/8 - 1861*l**2. Let b(j) = -34*j**2. Calculate b(p(h)).\nAnswer: -134946*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 14589686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5256583901 less than 3577?\nAnswer: 5256587478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -56173.242 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 13. Suppose 0 = 8*u - h*u - 65. Let c(l) = -62*l**3 - 3*l**2 - 2*l + 1. What is the remainder when c(-1) is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -21. Factor 8 - 14*v**3 + 3*v**4 - 4*v**4 - p*v + 7*v**2 + 3*v**4 + 23*v**2.\nAnswer: 2*(v - 4)*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b*(b**(2\/9)*b*b)\/b*b)\/b*b)*b*b*b**(-3\/5)\/b*b*b*b**(-2)\/((b\/(b**14*b))\/b) assuming b is positive.\nAnswer: b**(593\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3153.1 + -2623. What is f rounded to the nearest ten?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 9039 (b) 2 (c) 5 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2251.\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3164434 and 1338799?\nAnswer: 34808774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 346293386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*(((sqrt(50)\/sqrt(2) - sqrt(25))*-1)\/(sqrt(60)\/sqrt(3)) + 3)*2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1323)*1 + sqrt(1323) - (-1 + sqrt(1323) + (sqrt(1323) + -1 - sqrt(1323))) - (2 + -1*sqrt(1323) + (sqrt(1323) - sqrt(1323)*2*-5)))**2*2.\nAnswer: 320166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (11\/(935\/(-136)))\/((-2)\/25940)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -3*v + 8. Let a(m) = -10*m + 0*m**3 + v*m**2 + 7*m**3 - 12*m**2. Let z be a(-10). Round z to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 + 2)*(-39)\/4. Let w = -66 - s. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2739 and 24123?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**4*f*f*f**0*f)**(-10\/11) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (25\/30)\/(25\/(-15))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -3.2. Suppose 2*c = w - 3, -c - c = -5*w + 15. Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -437\nAnswer: -3\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 61\/4 of a tonne?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (30\/((-4)\/2))\/(-18*(-10)\/(-120))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + ((-2)\/(-4) - (-40917)\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 488330 divided by -97666.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 20. Calculate the common denominator of -67\/10 and (3\/(-1275))\/(m - 786\/195).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4469 and 2776561.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (-282)\/(-66))*(-2)\/(-3). What is the biggest value in 1\/8, 0.4, 0, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 11:28 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1286 is divided by 51.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(8\/5)\/(((p*p**20)\/p)\/p)*p*p*(p**(-6\/5)*p)\/p*p*p*p**(-9))**(11\/6) assuming p is positive.\nAnswer: p**(-649\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -30667\/5099?\nAnswer: -30667\/5099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 363954*r**2. Let a(f) = -2144*f**2. What is a(o(z))?\nAnswer: -283999630264704*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1256\/(-1099)*-5*14\/2\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0 + 2. Let d be o\/3 + (-77)\/(-33). Solve -6 = 4*a - d*q, 3*a - 5*a + 3*q = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**5\/20 + t**4\/2 + 3*t**2\/2 + 2*t. Let l be j(6). Suppose -5*g - p - 3*p = -735, 0 = -2*g - l*p + 294. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58.87875 - 0.\nAnswer: 58.87875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/637 + -16547\/3185. Let z = -88\/15 - a. Let t = 0.1 - 0.11. Which is smaller: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + sqrt(133)*1*-5 - (3*sqrt(133)*3 + sqrt(133)))\/(((sqrt(7) - sqrt(14)\/sqrt(2)*5) + (sqrt(7) - 5*sqrt(28)))*-3).\nAnswer: -14*sqrt(19)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12\/5 + 3\/5*f**4 + 39\/5*f**2 - 36\/5*f - 18\/5*f**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, 17, 20, 23, 26?\n\"Answer: 3*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 6:23 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 12. Let q be k + 0 - 8\/(-2). What is the nearest to -0.1 in -1\/4, -3\/5, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b**(-3\/2)*b))\/b)**(2\/41))**(-20))**(9\/13) assuming b is positive.\nAnswer: b**(-180\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 9:43 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 104645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 0 + 6. Suppose 0 = -v*a - 2*a + 236. Is 8\/(16\/6) + a*4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/605792979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h**5 - 428*h**4\/3 + 238226*h**3\/3 + 5304488*h**2\/3 - 5954072*h\/3 + 137280 = 0.\nAnswer: -55, -26, 2\/27, 1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a microgram in nanograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**4\/3 + 142*b**3\/3 - 575*b**2 + 15341*b\/6 - 12167\/6 = 0. Calculate b.\nAnswer: 1, 23\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -1\/6*o**3 - 1\/6*o**4 - o**2 + 0*o + 0. What are the prime factors of x(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*v**2 + 2)*(34 - 34 - 3*v**2).\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53*m + 147*m + 89*m**2 + 106*m**2 + 60 + 45*m**3.\nAnswer: 5*(m + 3)*(3*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 7\/((-14)\/8))*(10 + -9). Let a(x) = -3*x - 4. Determine a(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/6)\/x*x**(1\/11)*((x*x**(-2\/5)*x)\/x*x*x)**(-37))\/(((x*x**(2\/3))\/x)**(7\/3)*x**(1\/3)\/(x\/((x**(-3)\/x)\/x))) assuming x is positive.\nAnswer: x**(-91903\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 10*s + 14. Let q(b) = 2*b + 3. What is 6*m(y) - 33*q(y)?\nAnswer: -6*y - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 5. Suppose -86 = 3*a + r. List the prime factors of 3\/(a\/4)*-10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*z - 3, -5*z = -4*a - 0*z - 5. Suppose v - 11 - 1 = a. Let q(t) = 14*t - 4. Let p be q(2). What is the highest common factor of v and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + sqrt(72) + (sqrt(72) - 1*sqrt(72)*6) - (-1 + sqrt(72) + -1))**2.\nAnswer: -96*sqrt(2) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -19*u**5\/60 + 11*u**4\/24 + 2*u**2. Find the second derivative of a(v) wrt v.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1530 from 5250.\nAnswer: 6780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 267*v**2 + 11030*v + 3026. Determine f(-216).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-3) - 2\/(-6). Suppose -77 = r - 96. Suppose m = -2*v + r. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 a factor of 596406087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 11*n**2 - 12*n - 15. Let a be u(-10). Let m(s) = 4*s + 5. Let b be m(a). Solve 0 = -5*w - 0*w - b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 3*k**2 - 2*k**3)*(-k + 2 - 2 + (4*k - 2*k - k)*(1 + 0 - 2)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 236 = -r. What is the remainder when r is divided by (((-84)\/(-70))\/(-1))\/(-2 - 288\/(-150))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -10*q**4 + q**3 + 2. Let u(j) = 82*j**4 - 4*j**3 + 17*j**2 + 920*j - 8. Let s(n) = 4*p(n) + u(n). What is the second derivative of s(d) wrt d?\nAnswer: 504*d**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 - 487*x - 2454. What is the remainder when 216 is divided by k(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*j - 468, j + 37 = 3*i - 302. What is the highest common factor of i and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4\/2 + 84*w**3 - 165*w**2\/2.\nAnswer: -3*w**2*(w - 55)*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 15*u - 2. Let d be z(-14). Solve -d = -2*n + 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g - 5. List the prime factors of s(5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*k + 39, -5*y + 2 = -3*k + 5. What is the third derivative of -14*a**4 + 4*a**k + 14*a**4 + 7*a**2 wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 24070*q + 22640120.\nAnswer: 5*(q + 1282)*(q + 3532)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2834377998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130689*w**5 + 90761*w wrt w?\nAnswer: 2613780*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 407497 and 14647?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f + 144 = 8*f. Let p(g) = -g**3 - 2*g**2 + 8*g - 8. What is the units digit of p(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -3 - -47 - (-30 + 3)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*k = 151*k + 3*h + 31, 5*k + h - 23 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*h + 14, 5 = -h + 1. Sort 8, o, 3, 5 in increasing order.\nAnswer: o, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 1\/2*g**3 + g + 1\/12*g**5 + 0*g**4 - 1\/105*g**7 + 0 - 11\/120*g**6 - 11*g**2. Find the third derivative of m(u) wrt u.\nAnswer: -48*u - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 2.683, -1?\nAnswer: 2.683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + 0.35. Let d = -3.2 + 3. Let z = 2.03 + -0.03. Put d, z, p in decreasing order.\nAnswer: z, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/6 and 23\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*s**4 - 10878*s**3 + 898652*s**2 wrt s?\nAnswer: 1368*s - 65268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 - -73. Suppose 0 = v*u + z - 8, 5*u - 4*z = -6 + 8. Let k be 0*u\/(-6) + (-22)\/(-429). Which is bigger: k or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5*v - 69, -x - 3*v = -5*v - 21. Which is the third biggest value? (a) x (b) 1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -778 + 1461. Round n to the nearest 10.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20021210120 (base 3) to base 6.\nAnswer: -2353023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*o - 24 = 112*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*k**4 + 2*k**3 - 344*k*s - 4*k + 156295*s with respect to k.\nAnswer: -32*k**3 + 6*k**2 - 344*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54094825.9999976 - -54094857. Let c = b - 31. Round c to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -554 divided by -282.\nAnswer: 277\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -303, -553, -801, -1047?\n\"Answer: x**2 - 253*x - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -4645*w**4\/12 + 2811*w**2 - 472*w + 2. What is the first derivative of x(s) wrt s?\nAnswer: -9290*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 5*w + 11. Let z be g(6). Suppose c = d + 4*d - 29, -5 = 3*d + z*c. Let y(h) = h**3 - h. Let r(f) = -9*f**3 + 5*f. Determine d*y(l) + r(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -57*r - 222. Is 5 a factor of m(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2033, 2201, 2421, 2645, 2825, 2913?\nAnswer: 2861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31155, -62659, -94163, -125667, -157171, -188675?\n\"Answer: -31504*l + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2520)\/1944)\/((-43)\/(-258))?\nAnswer: -70\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44 + 43)*3\/(-9)*-9. Let h(p) = -p**2 - 7*p - 8. Let c be h(-6). Sort -5, u, c, 4 in ascending order.\nAnswer: -5, u, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5) - 2016\/60. Let y be (-117)\/(-4) + v\/8 + 5. What is the greatest common factor of 330 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 2:18 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 600117 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1977 = 757. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -16*o**3 + 2*o**2 + o - 1. Let i(f) = 16*f**3 - 3*f**2 - f + 1. Calculate -2*i(c) - 3*w(c).\nAnswer: 16*c**3 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13032 + -33?\nAnswer: -13120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3031*f - 24. Let a(c) = c + 8. Give -3*a(p) - u(p).\nAnswer: -3034*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a second in milliseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*h - 115*h = 2. Solve -3*l - 2 = h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 50. Suppose -s = -t + 1. Let q(u) = -5*u - 6. Let i be q(-2). Solve -1 - i = t*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.096?\nAnswer: 0.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -3)*(-40)\/(-4). Let a(w) = -w**2 - 12*w - 10. What is the tens digit of a(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*p + 29*p + 69*p)*(-8 + 8 - 6*p**2) in the form k*p**2 + t*p**3 + q + s*p and give t.\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k*m*o*r - 2*k*m*o + 40*k*m*r - 71536*k*o + 16*m*o*r - 126*m*o + 2983*r wrt r?\nAnswer: k*m*o + 40*k*m + 16*m*o + 2983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 107*k = -104*k + 17, -s - 4*k = 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2068.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwd when three letters picked without replacement from yyyyywywyygyyyd?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.507969 rounded to one decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332321 - 1?\nAnswer: 332320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202210002210 (base 3) to base 11.\nAnswer: -25a359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 77604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100012 + -2102?\nAnswer: 2020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1700) + sqrt(1700)*1 + sqrt(1700) + 3 + (sqrt(1700) - (sqrt(1700) + 2) - sqrt(1700))*-3)**2*6.\nAnswer: 19440*sqrt(17) + 1103058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 4845.\nAnswer: 9690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 162798 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -30, -30, -18, 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23214 and 369002006.\nAnswer: 7738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575095.\nAnswer: 5, 115019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-234)*(-3)\/10. Let l = m + 112\/585. Let r = -0.02 + -0.38. What is the smallest value in l, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6542706 is divided by 91.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05 and -5530.27539057.\nAnswer: -5530.22539057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**2 + 18*j - 19. Let s be r(1). Solve s = -47*v + 42*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -376 (base 15) to base 8\nAnswer: -1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10194117 is divided by 63.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 9*(-48)\/(-90).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1869 = m, -m - 3506 = -5*d - 391. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/19 and 61\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 7.52. Let v = i + 0.6. Let s = 5.12 - v. Sort -2\/5, s, -1\/3 in descending order.\nAnswer: s, -1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13\/(234\/8368515))\/((-2261)\/(-560) - 4). Round g to the nearest one hundred thousand.\nAnswer: 12400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 6:48 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -675375 times 0.4?\nAnswer: -270150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 - 27*c + 5. Determine g(-12).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -129, 0, 117, 216, 291, 336, 345, 312?\n\"Answer: -g**3 + 136*g - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1715*0.2\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 21644*a**3 + 117137326*a**2 + 234209724*a + 117094041.\nAnswer: (a + 1)**2*(a + 10821)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*m = -5*x + 8, 5*x = -3*m + 13. Suppose 4*k = 4*l - 4, 5*l - 3*k - 1 = 4. Solve h - 10 = -3*p, -x*p + l + 9 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*u + 9. Find the first derivative of -12 - 35*r - u + 12*r wrt r.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 2259*k**7\/70 - 277*k**5\/2 + 8842*k**2. What is the third derivative of g(l) wrt l?\nAnswer: 162648*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -4\/19, 5\/18?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o**2 + 157*o - 18. What is w(27)?\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 143668310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1752714 is divided by 876352?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/163 - -487\/326. Let h = 2.9 + -2.5. Let x = h + 0.4. Which is the nearest to -0.1? (a) o (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 3. Suppose -2*r - 2 = 4*d - 4*r, 5*r = d + 23. What is the nearest to 1\/3 in 9, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 0 + 23\/2*m**2 + 19\/12*m**4 - 20*m + 1\/30*m**6 + 0*m**3 + 0*m**5. Differentiate n(p) with respect to p.\nAnswer: 4*p**3 + 38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2363, -4295, -7519, -12035?\n\"Answer: -646*a**2 + 6*a - 1723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 615, 2489, 5619, 10011, 15671?\nAnswer: 22605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*k - 2*k, 3*r = k. Suppose -f = 24 - 36. Solve -3*l + r*l = -f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 779*g - 9336. Give j(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.3? (a) 1\/3 (b) 0 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 7*j + 10. Solve -10 = l + p, 4 = -3*l + j*p - 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*sqrt(40)\/(sqrt(54)\/sqrt(3)))\/(-3*-2*2*sqrt(16)\/sqrt(4)).\nAnswer: -4 + 5*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 3*l**2 - l + 4. Let u be z(-4). Suppose -104 + u = -4*d. Suppose 4*m - 11 - 1 = 0. Solve -12 = 2*o - o - m*r, -o + 5*r = d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -41*g - 292. Let z be h(-10). Suppose 11*j - z = -52. Solve 0 = 4*s + 2*p + 3*p - 18, 0 = 2*s - 5*p + j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250268981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 818 and 82.14?\nAnswer: 67190.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 386656743 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**5 - 2*k**5 + 2*k**5)*(-1 - 3 + 2) - 32*k**5 + 1392*k**4 - 1392*k**4.\nAnswer: -30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7630, 7631, 7634, 7639?\nAnswer: 7646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 0 + 7 + 0. Suppose -u*b + 2*b = -3*r - 5, b - 5 = 0. Let k(f) = -3*f + 4*f - 4 + r*f - 5. Calculate k(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -295 + 340. Let g = x + 223. Does 24 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1370 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b**2 + 51*b**2 + 52*b**2 - 20*b**2.\nAnswer: 110*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-1)*h)\/h**19)\/(h*h\/(h*h*h**7*h)*h*(h\/h**(1\/7))\/h) assuming h is positive.\nAnswer: h**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 99791829 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.1 + 8.8. Let f = 9.3 + z. What is the closest to f in 0.4, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 10, 21, 58, 133?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16889?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twjla. Give prob of sequence jlw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725 = 77*t - 186 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 7 = -3*m - 5, 5*m + 20 = 2*y. Let c(z) = z + 4. Let k be c(y). Solve -5*f + 2*s + 13 = 0, 4*f + f - 11 = k*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1724)\/(-8) - 3\/(-2). Suppose z = p - 3*b, 3*p - b + 217 = 4*p. List the prime factors of p.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 33. Let n = 140 + x. Suppose n = -4*b + 6*b. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 184376 = s, -5*m - s - 5207 = -312495. List the prime factors of m.\nAnswer: 2, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548601?\nAnswer: 3, 182867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*a - 4. Let o(g) = g**3 - 7*g**2 + 5*g + 6. Let n be o(a). Suppose 5*p + 4*b - 110 = n, p - 23 = -0*p - b. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14617*p + 3606528 - 3606528)*(-2*p + 2*p - 2*p**4).\nAnswer: 29234*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idd when three letters picked without replacement from xiixdigxdipxgixgxxi.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + a - 6 = 2*c, 2*a = -2*c + 8. Calculate the common denominator of a\/6 + (-80)\/33 and -26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -194.3 + 203. Let c = d + -9. Sort -1, c, 0 in ascending order.\nAnswer: -1, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 943 - 7537\/8. What is the closest to 0 in 5, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/18 + -15*2\/(-36)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, 14, 8, 19 in ascending order.\nAnswer: -2, 8, 9, 14, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4*(18 - 10). What is the derivative of t**2 + 0*t - 9*t**2 - 3*t + s*t**2 - 27 wrt t?\nAnswer: -12*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 11) in base 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105.2 + 106. Let w = -453.7 + 430. Let f = -24 - w. Which is the second smallest value? (a) -4\/5 (b) -0.5 (c) f (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*d = -10*d - 20592. Calculate the highest common divisor of 192 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 18*c + 99. Let g be a(-5). Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*w + 10. Suppose 0 = 4*q + 4*b - 55999980, w*q - 5*b - 28000025 = -0*q. What is q rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7699784.\nAnswer: 2, 701, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27 from 156953800.\nAnswer: 156953773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p - 5*p)*(140*p**2 - 832*p**2 + 3*p - 5 + 704*p**2).\nAnswer: -24*p**3 - 6*p**2 + 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -990, -1001, -1012?\n\"Answer: -11*w - 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - 2\/1*34544\/(-32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 4*b - 10. Let p be r(-8). Let k(y) = 0 + 12*y + 0 - 37*y + p*y. Let c(w) = -4*w**2. What is k(c(q))?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 20*o**5 + 320*o**4 + 1445*o**3 + 1545*o**2 - 1305*o - 2025 = 0.\nAnswer: -9, -5, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + -2 + 3.\nAnswer: 1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3226870 and 76932?\nAnswer: 58083660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(38) - sqrt(38))*-2)\/(sqrt(72)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.9191 and 2933.\nAnswer: 11494.7203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -8) + -23 + (-3 - 5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.50805 - 0.44445. Let s = 47 + v. Let r = s + -0.04529. What is r rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165.338 - -0.338. Let z = -168 - i. Which is smaller: -4\/21 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u - u**2 - 2*u**3 + 8*u**2 + 4*u to the form p*u + b*u**3 + v*u**2 + q and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 11*i = -32. Let a be 47*(2 - 4)\/2. Let m = i - a. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 202.26717 minutes?\nAnswer: 0.1404633125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 174 + 31?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 42 = -m, -4*m + 32 = -3*t + 8*t. Suppose 2*b = t*b - 120. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/sqrt(10) + -5)**2 - (sqrt(190)\/(sqrt(10)*-4))**2.\nAnswer: -10*sqrt(19) + 685\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34663321 + -111?\nAnswer: -34663432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**4\/6 - 13*s**3\/6 - s**2 + 37*s + 1. Determine m(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 20 = -5*g, -2*z + 18 - 2 = -4*g. Suppose r + 4*x = 248, 4*r + 8*x - 11*x - 973 = z. Calculate the smallest common multiple of 18 and r.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**3 - 5*p**3 + p**4 + (2*p - 4*p + 4*p)*(3*p**3 - 4*p**3 - 3*p**3) - 392 + 25*p**4 + 392.\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*b**4 - 3*b**3 + 6215*b + 42977.\nAnswer: -20*b**3 - 9*b**2 + 6215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515*c + 5330*c + 219992 = 48921 - 173784 for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -497*a**5 + 201*a**2 wrt a?\nAnswer: -29820*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/(-48))\/(((-2)\/(-5))\/(1\/15))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8860655*a - 1 + 1 - 8860651*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.4, -3, 0.064, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3. Let h(o) = -o + 4. Let x(t) = -5*b(t) - 4*h(t). List the prime factors of x(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, r: 1, l: 4, i: 2, n: 3, w: 6}. What is prob of picking 1 r, 1 i, 1 w, and 1 n?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-6))**(-5\/2)*(f\/((f**2\/f)\/f))\/(f*f\/f**(1\/12)*f))**(-3) assuming f is positive.\nAnswer: f**(233\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33378?\nAnswer: 2, 3, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -484, -1085, -1926, -3007, -4328, -5889?\nAnswer: -7690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -347*d - 6. Let i be w(-1). Suppose -i - 169 = 15*v. Let a = v - -39. Solve 0 = a*x - 10*x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 438327\/36152 + 2\/4519. Calculate the common denominator of -11\/18 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 5*w**2 - w - 5. Let v be s(-5). Suppose 132*h + 381 = 5 + 3544. Solve v = 3*c + 3*m - h, c - 20 = -2*c - 2*m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 20. Let q = i - -2. Let t = q + 44. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a minute in milliseconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1032*k**6 - 6103*k**5 - k**3 - k**2 + 15707*k + 1420.\nAnswer: 123840*k**3 - 366180*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**6\/720 + w**4\/24 - 2*w**2. Let t(v) be the second derivative of c(v). Let x(r) = -r. What is x(t(k))?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22007 - 8636. Is m bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 3) to base 14\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 661 or 0?\nAnswer: 661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 80763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 27195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - o)*(-3 + 2 + 2) - 3*o - 5*o + 0*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3180\/(-2120) + 9\/3 + -2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*x - 0*r - 6, -x + 2 = -4*r. Suppose 8 = 2*h + 2*a, -x = h - 2*h + a. Suppose o + h*o = 16. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, x: 3, u: 2, r: 10}. What is prob of sequence xl?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10 + 4\/10. Suppose -y + 0*y + 5*p - 10 = r, 3*p - 4 = y. What is the second biggest value in y, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, k: 2, v: 1, j: 5, t: 1}. Give prob of picking 2 k and 1 s.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**5\/3 + 4*j**4\/3 - 8*j**3 + 28*j**2\/3 - 10*j\/3 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + 0.784. Round n to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3551*y**2 + 3551*y**2 - 89*y**3 + (3 + 2*y**2 - 3)*(-6*y - y + 5*y) + 2*y - y**3 - 2*y - 2*y + 41*y**2 - 41*y**2 + 5*y**3.\nAnswer: -89*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808248789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 - 4*a**2 + 8*a**3 + 2*a**3 + 2*a**2 + 5. Let p(v) = v**3 - v**2 + 1. Let g(m) = -j(m) + 5*p(m). What is q in g(q) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 713310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36076.\nAnswer: 2, 29, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from uuuuuuuuuuuguggugg?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*i**5*p**2 - 99*i**2*p**2 + i*p**2 - 1345*i*p wrt i.\nAnswer: -340*i**3*p**2 - 198*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -5*y + 5*w, -y - 3*y - 3*w - 160 = 0. Let o = -7 - y. Suppose -h + 19 = -o. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/183 or -6\/5?\nAnswer: -8\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/6 - p**4\/8 + p**3\/6 + 1773*p**2. Let n(z) = 21*z**2 + 5*z - 1. Determine -3*n(a) - 5*y(a).\nAnswer: -13*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 340.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 + 23 = 0. Let f = -44 - q. Find the common denominator of (74\/3)\/(f\/9) and -61\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121389 is divided by 5259.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 86, 174, 262, 350, 438, 526?\n\"Answer: 88*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-91)\/7)\/(1 + -2). Suppose z*v - 15*v = -48. Calculate the common denominator of 7\/26 and (-12)\/4 - (-21)\/v.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275003069.\nAnswer: 11, 25000279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, r: 4, q: 2, y: 2, c: 2}. Give prob of sequence vr.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -16*q - 5. Let v(j) = -58*j - 15. Let p(m) = 7*s(m) - 2*v(m). What is p(8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from {a: 6, q: 5, p: 1, w: 1, t: 2, x: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {a: 1, z: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 248625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1184 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 4*o = -22, -348*o = -2*g - 346*o + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4888, -3, 30, -2, 7.\nAnswer: -3, -2, 7, 30, 4888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 14 = -3*y, -3*t = -t - 2. Suppose 3*a - 2226 = -y*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2997254040 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -779797*v - 1472921?\nAnswer: -779797","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -589 + 25a64a?\nAnswer: 25a071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16154145 by 5.\nAnswer: 3230829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/28)\/((-29)\/406)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 66, 479, 1588, 3741, 7286, 12571, 19944?\n\"Answer: 58*m**3 + 7*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/69 in -5, -0.5, 3706\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6917880 to the nearest 100000.\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670377561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3483.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5334 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - v - 7. Let c be f(-2). List the prime factors of ((-13)\/39)\/(c\/(-2574)).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3661165.177 to the nearest one hundred.\nAnswer: -3661200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 609069 + -81110. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*o - 115*o - c + 89 = -264*o, -3*o - 2*c + 156 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 80.819689 and -58839?\nAnswer: 58919.819689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*f - 4. Let v(a) = 13*a**2 + 2*a - 1. Is v(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 62*a + 117. Determine v(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -e0?\nAnswer: -e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21196 and 3500?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 1040?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + 2*s**3 + s**3)*(311*s**2 - 277*s**2 - 174*s**2).\nAnswer: -420*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from {p: 3, n: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 z when four letters picked without replacement from {z: 4, k: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 + 0*y**2 - y**2 - 4*y**2. Let g(k) = 3*k**2. Calculate b(g(d)).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**3 + 2*c**2 + c. Let j be w(-1). Let x(m) = m**3 + m**2 - 9*m - 5. Determine x(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - l + 203, 0 = 11*f - 6*f + 3*l - 252. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*u + 231 = -241*u. Solve 2*b - u = -m, -27 = -2*b + 5*m - 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3284.4 - -3284.1. Which is the fourth biggest value? (a) l (b) -0.4 (c) 1\/2 (d) -1 (e) 99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -116271015*d**2*t + 4*d**2 + 1933195 wrt t.\nAnswer: -116271015*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31351.\nAnswer: 107, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.3912463 rounded to one decimal place?\nAnswer: -39.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-3)*(-260)\/(-195)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 2*o - 3 + 0*o. Let h(i) = 5. Let j(r) = 7. Let s(c) = 4*h(c) - 3*j(c). Let u(d) = -4*s(d) - y(d). What is u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 1442\/84)\/(1\/(-6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 2. Let x(p) = -958*p + 3 + 959*p - 2. Calculate -3*u(n) + 5*x(n).\nAnswer: -4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhwjwsqwssju. What is prob of picking 1 u and 1 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*x + 69*x + 60 = 0. Let y be (16\/5)\/(1 + (-146)\/150). Calculate the greatest common factor of x and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 divided by -57?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(475)*-1 + 0 + -4)*5 + 5)**2 + -1)*-4.\nAnswer: -48940 - 3800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -11. Suppose 6*y = 29*y - 805. Calculate the least common multiple of c and y.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 15*t**2 + 574*t + 7119. What is m(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q + 272 = 56 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g**2 - 84*g + 190. What is y(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000026 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1843348*a*m**3*p**3 - 247*a*m**3*p - 941*a*m**3 - 2*a*m*p**2 - a*p**2 - 3*a*p - 3*m**3*p**3 - p wrt p?\nAnswer: -11060088*a*m**3 - 18*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = x. Suppose -2*n - x = -4*n. Solve n = -j - j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1\/3, 2, 0.4, 410104, 4, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*o**2*p*v**3 - o**2*p + 5*o**2 - 13*p*v**3 - 31*p wrt o.\nAnswer: -12*o*p*v**3 - 2*o*p + 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i - 6. Let o(n) = -n + 1. Let y(r) = 5*o(r) + p(r). Let h(l) = -14*l - 86. Let f be h(-7). What is the tens digit of y(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5106795 grams in kilograms?\nAnswer: 0.0005106795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.38 and -1.134?\nAnswer: 9.50292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(2) - sqrt(33))*-4)\/(sqrt(11) - -5*sqrt(275)) + (((1*sqrt(168))\/sqrt(7))\/(sqrt(8) - sqrt(40)\/sqrt(5)*2))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 3*m - 1. Let o(d) = -4*d - 2. Let v be o(1). Let c be (-96)\/(-18) + 2\/v. Give u(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t = 128. Let m = t + -27. Suppose -19 = -o - z, 3*o - 55 = -0*o - m*z. Calculate the lowest common multiple of o and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.7 + 12.3. Let r = l + -10.6. Sort r, -125, -0.2 in increasing order.\nAnswer: -125, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 45534403 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, 13\/3, -50\/683?\nAnswer: -50\/683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(3\/3) - 5) + 3 + -17?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5916*y - 5902*y - 42 = 0. Factor -8\/3 + 108*m - 1458*m**2 + 6561*m**y.\nAnswer: (27*m - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118534 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0119, 2\/33, -1 in descending order.\nAnswer: 2\/33, -0.0119, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1900011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 + 933*t**2\/4 + 62447*t\/4 + 391755\/4.\nAnswer: (t + 7)*(t + 65)*(t + 861)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -57139.571 to the nearest 10.\nAnswer: -57140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2)*(9 - 9). Let c = 0 + y. Suppose -3*t + z + 108 = c, -143 = -4*t + z + 2. List the prime factors of t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 27. What is the third biggest value in 2, c, 0.7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*d + 13. Suppose 6 = 3*o - d*o. Let m(n) = -14 + 8*n - 10*n + 6. Calculate m(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76019351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**3 + 577*w**2 + 1158*w = 0?\nAnswer: -2, 0, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 6*l + 11. Determine c(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*f + 35354 = 0, -4*f = 5*y - 8*f - 88339. Suppose 4*x = -2*b + 20611 + y, 38267 = 4*x - 3*b. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jljmrrllmrjmrmmmbmm. What is prob of picking 1 l and 2 m?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004457001 to 6 dps.\nAnswer: -0.004457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/355 and -111\/26980.\nAnswer: 26980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5709670207863 minus 3.3?\nAnswer: -4.8709670207863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/9))\/p**(-3\/13))**(1\/7) assuming p is positive.\nAnswer: p**(170\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 418976 to the power of 1\/2, to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -473*d*i**2*y + 85*d*i**2 - d*y - d wrt y.\nAnswer: -473*d*i**2 - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -45081, -45082, -45085, -45090, -45097, -45106, -45117?\n\"Answer: -q**2 + 2*q - 45082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyac when four letters picked without replacement from {c: 3, a: 1, y: 7, j: 2, h: 1, i: 3}?\nAnswer: 1\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/60 - 7*w**4\/24 - 2*w**3\/3 - 25*w**2. Determine s(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -164 - -312067?\nAnswer: 311703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -135*n - 228. Let z(g) = 64*g + 108. Let a(c) = -9*u(c) - 19*z(c). Let k(t) = 0 - 22*t - 2 - 4*t. Calculate a(k(b)).\nAnswer: 26*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -37*k + 60*k**2 - 25*k**2 - 20*k**2 + 126 - 16*k**2. Determine f(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -842 - -1209. Suppose -3*i = -376 + o. Solve -2*d = -10, 4*b - i*d = -6*d - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*a + 30 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841668 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -156, -600, -1340, -2376?\n\"Answer: -148*z**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102156 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-30) - (9 + (-419424)\/180) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6444324 (base 8) in base 3?\nAnswer: 10020111221021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 + -13.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*z, 5*l + 5*z + 196 - 36 = 0. Let n = -29 - l. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5037930?\nAnswer: 2, 3, 5, 47, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 279268733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/(-2))\/(-8 + -3 + 13). Let p(k) = k**2 + k - 4*k + 20 - 5*k. Let j be p(c). What is the greatest common factor of j and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10375 + 5?\nAnswer: -10370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**3 + 1 - 1 + (0*q**2 - 2*q**2 + q**2)*(4 - 4 - 2*q) + 5*q - 5*q + q**3 + 0*q**2 - 2*q**3 + 0*q**2.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-287 - -247) + (-21 + 10 - 61).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 - (-99 - (-11 - -72)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11485 divided by 14.\nAnswer: 11485\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 545*o*t**2 + o*t + 3479*o + 2*t**2 - 1611*t - 88 wrt o?\nAnswer: 545*t**2 + t + 3479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 0) + 5 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 238 or 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 + 109. Suppose 2*g - x = 0, -5*u = 5*g + 37 + 58. Let q be -2 + (-5)\/(u\/16). Solve 5*r + q = 7*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 52510823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -8.2.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 11*z**2 - 17*z - 18. Let r be i(-13). Is 5 a factor of r\/18*(-16)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1047 and 17\/3839.\nAnswer: 11517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/15 + 1338\/90. Solve 0*y = 3*y + d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450*j**2 + 442*j**2 - 2299*j**2 + 509*j**2 + 445*j**2 + 450*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -780, 4 in decreasing order.\nAnswer: 4, 0, -780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 25545 - 74682 = -i, 5*j + 300721 = 3*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + q + 33 = 0, 11*q + 11 = 2*v + 6*q for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 108.81886 to the nearest integer.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 0*t - 25 + 0*t**4 + 0*t**3 - 71\/60*t**5 + 3*t**2. Let r(y) = 2*y. Calculate r(w(p)).\nAnswer: -142*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 44. Suppose 11 = 10*s - 69. What is the smallest common multiple of f(32) and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6456423?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 536\/(-104) - 18\/(-117)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from bbbnbggbgmggzzg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2 - 54598668*b + 372626818421778 = 0. Calculate b.\nAnswer: 13649667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.84 - 7.84001158. What is q rounded to 7 decimal places?\nAnswer: -0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52451 and 0.2?\nAnswer: 10490.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - 6*b**4 + 7 + 11*b - 6 + 2*b**4 to l*b**3 + r*b**2 + x + a*b**4 + f*b and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from qzzzzqzq?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -215 - -220. Sort g, -0.3, -119, 4 in decreasing order.\nAnswer: g, 4, -0.3, -119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -113*y + 1576. Give v(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 4:40 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3321 - -3516. Calculate the highest common factor of r and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39211 is divided by 5538.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.32, -2\/31, 0.3 in descending order.\nAnswer: 0.3, -2\/31, -0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1393 + 1395 - 2*m**2 + 0*m**2 + (2 - 2 - m)*(-2 + 2 - m).\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -28*k + 186. Solve 19*y = 17*y - k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4860 = -7*z + 58907. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + b + 3*b**3 + (-7*b**2 + b**2 + 0*b**2)*(-10 + 10 + 16*b).\nAnswer: -93*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + sqrt(1053)*-1)**2*-6 + ((sqrt(52)\/sqrt(4)*2)**2 + 1*sqrt(468) + sqrt(468))*4.\nAnswer: -25664 + 2208*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22121504 (base 8) to base 10.\nAnswer: -4760388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 7*u + 4. Let j be f(-8). Suppose 0 = -2*s + j + 18. Suppose 2*p - 7 - s = 4*l, p = 4*l + 17. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 5. What is the lowest common multiple of z and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*w - 7*w + 17*w + (2 - 2 - 2)*(3 - 3 - 2*w) + 4*w - 2*w - 3*w + 2*w - w + w)*(-5 + 4 + 0)*(-5*w**4 + 2*w**4 + 2*w**4).\nAnswer: 27*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 222 = f - 3*i, 3*f = -5*i + 152. Let b = f - 25. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p + 111. Let i be h(-10). Find the second derivative of i*f**5 - 77 + f + 75 + 5*f wrt f.\nAnswer: 1420*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 189, 377, 563, 747, 929, 1109?\n\"Answer: -u**2 + 191*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13373 is divided by 495.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 137*q**5\/5 - 124*q**3\/3 - 33. Find the third derivative of g(m) wrt m.\nAnswer: 3288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*c - 2*t - 232, -4*t = c - 104. Calculate the least common multiple of c and (-275)\/22*(8\/5)\/(-2).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 3)*(0*p + p - 2*p)*(3 - 5 + 0) - 2 + 2 - 2*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*w + 5, -12 = 3*o - 2*w - 36. Solve 0 = k + 4*k + o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 25. Calculate the remainder when o is divided by (8\/(-10))\/((-4)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -180 (base 15) to base 5\nAnswer: -2340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s. Let a be b(-2). Suppose 2*t - 44 = -a*t. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 10:47 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13606 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/45 + (-470)\/(-150). Solve -c*h + 0 = 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 5*i**2 - 6*i - 4. Let p be m(-4). Let b(y) = p + 3 + 10 + 0*y + y. Let d be b(-12). Solve -2*x - 5*f = -d + 3, 0 = -3*x + 5*f + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.04 - 0.16. Let b = 1 + -0.2. Let l = b - s. What is the second biggest value in l, -3, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i. Let z(u) = 2*u**2 - 10*u**2 + 12*u**2. Calculate z(v(f)).\nAnswer: 144*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**4\/6 - 5*u**3\/2 + 17*u**2 - 2*u. Give z(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0 + 0)*(-i**3 + 2*i**3 + 0*i**3) - i**4 + i**4 + 5*i**4 + 2*i**4 - 5*i**4 - 2*i**4.\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, r: 2, j: 2}. Give prob of sequence hhhr.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**2 - 17*o**2 + 35*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 30 (b) 0 (c) -3\/4 (d) 2\/19 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 91517, -10, 46 in ascending order.\nAnswer: -10, 46, 91517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57588822761.02 + -0.1.\nAnswer: -57588822761.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 4. Let k(l) = -l**3 - 6*l**2 + 2*l + 2. Calculate k(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 1.3, 0.8?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 662*-0.163\nAnswer: -107.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4453070 rounded to the nearest ten thousand?\nAnswer: 4450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000022989082 to seven dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*u - 2 + u + 1)*(2*u + 1 - 1) + (-2*u**2 + 2*u**2 + 5*u**2)*(5 - 1 + 0))*(0 + 2 + 0) to d + l*u + n*u**2 and give n.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 1874 a factor of 28138110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, 33, 121, 285, 549, 937, 1473?\n\"Answer: 4*i**3 + 2*i**2 + 2*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**3 + 5*t**2 - 5*t - 4. Let j(d) = d**3 + d**2 + d - 1. Let y(s) = -f(s) - 3*j(s). Let h = 29839 - 29831. What is y(h)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -975 < -975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*f - 544 + 544.\nAnswer: -140*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 213*t**2 + 932 - 129*t**2 + 168*t**2 - 5*t - 5*t**2 wrt t.\nAnswer: 494*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5023767 (base 9) in base 5?\nAnswer: 1141020032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 443409068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200041 is divided by 4077.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, 2\/3, 1.5, 1\/6, 118\/5.\nAnswer: -0.16, 1\/6, 2\/3, 1.5, 118\/5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 20. Let z(g) = -g**2 - 8*g + 1. Let i be z(p). Suppose 3*q + 41 = -4*l + i, 0 = 3*l + 3*q + 21. Which is greater: 2\/9 or l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14.936 and -0.5.\nAnswer: 14.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18805973 - -106122?\nAnswer: 18912095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 3463.\nAnswer: -5, 3, 3463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -13. Let y = 5.03 + -5. Let x = y + 3.97. What is the second biggest value in -3, x, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36138, 36139, 36140, 36141, 36142, 36143?\n\"Answer: n + 36137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.4, -0.03, 3.\nAnswer: -0.03, 0.3, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -122*d**3 + 4*d**2 - 25*d + 36. Let m(a) = 366*a**3 - 11*a**2 + 76*a - 99. What is 4*m(w) + 11*t(w)?\nAnswer: 122*w**3 + 29*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + 10\/5 + 0. Solve 2*j = -2*j + f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 1830343 - 1830343. Let u(o) = -476*o. What is j(u(l))?\nAnswer: -476*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 312 + 1892 = 566. Solve -10*w + 1718 = y for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-36))\/(2\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -158 - -232. Let d = -69 + g. Suppose 3*i - 76 = -i + 4*v, 86 = d*i + 4*v. What is the least common multiple of 42 and i?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m - 1 + 1 + (-53*m - 204 + 26*m + 28*m)*(1 + 2 - 1).\nAnswer: -3*m - 408","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 415*b - 4255. Let c be z(-10). Sort 1, 55, -3, c, 2 in descending order.\nAnswer: 55, 2, 1, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.119799113 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1 + 4 + 6*g - 2*g + g**2. Suppose 5*o = 3*w - 45 + 38, -5*o - 2*w - 37 = 0. Determine q(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 + 0*v + 0*v + 0*v**4 + 2*v**4 + 0*v**4 + (-1 - 1 + 0)*(-2*v**4 + 3*v**4 - 2*v**4) + 5*v**4 - 2*v**4 - 4*v**4.\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67\/5? (a) 0.4 (b) 108 (c) 1 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 568587254.99999988 + -568587268. Let h = 229 - 216. Let d = i + h. Round d to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -13 + (41 - (16 + 0)) - 66\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*q = -57*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 12:12 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1266 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15, -5.\nAnswer: -5, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v**3 + 2*v**2 - 6*v - 17. Calculate a(-2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b + 10*b - 688 - 462 = 0 for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = 7*t - 4*b - 52, -132*b + 258*b = -t + 131*b + 126 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 - l**2 - 12 - 17 - l**3 + 32 as r*l + j*l**2 + w + h*l**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 5:34 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 48449 and 2028321.53.\nAnswer: 2076770.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 14*y**2 + 7*y - 4. Let i(x) = -15*x**2 - 9*x + 6. Give 4*c(r) + 3*i(r).\nAnswer: 11*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 1 - 7. Let m be (y\/(-4))\/1*0. Let r be 0 - m - (0 + -3). Is r greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**7\/210 + 13*f**6\/30 + 119*f**3\/3 - 351*f**2. Differentiate i(x) with respect to x.\nAnswer: 4*x**3 + 156*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 66?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10576 + -2?\nAnswer: 10574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**5 - 348*l**4 - 14679*l**3 - 271866*l**2 - 1956372*l - 1698840 = 0. Calculate l.\nAnswer: -45, -26, -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 11*v**2 - 12*v - 2. Let r be h(-12). Put r, -5, -1 in ascending order.\nAnswer: -5, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-4)*a)*a**1\/a*(a**(1\/3))**(-2) assuming a is positive.\nAnswer: a**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**3 + 14*c**3 - c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3. Let j(p) = -p**3 - 4*p**2 + 7. Let q be j(0). Sort q, u, 1 in increasing order.\nAnswer: u, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 21*s**2 + 224*s - 2256. Determine f(10).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = d - u - 5, 3*u + 3 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*p + 928 = 0, 2*m - p = p - 602. Let k = -174 - m. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9237769 or -8?\nAnswer: 9237769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760005*h - 203 = 759989*h - 5*c, 5*c = -3*h + 34 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**2 - 130*a - 113. Is f(27) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**2 + 11*m**2 + 47*m**3 + 21*m**3 - 23*m**3.\nAnswer: 45*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*s**3 + 4*s**4 - 12 - 2*s - 40*s**3 + 33*s**4 + 3 wrt s.\nAnswer: 444*s**2 - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 37, 89, 159, 247?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2848 and 764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294 a factor of 376049628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 12:35 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*0.0586.\nAnswer: -0.004102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 22*k**2 - 22*k - 54. Calculate the smallest common multiple of 77 and x(-3).\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 75, -33 in increasing order.\nAnswer: -33, 4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -35. Suppose -4*a = -h*a - 2. Factor 3\/4*p**a + 3\/4 + 3\/2*p.\nAnswer: 3*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by 553.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3603294, 7206564, 10809834, 14413104?\n\"Answer: 3603270*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - u - 16 = 6, u = 0. Suppose 3*a = -3*h - 3, 0 = -4*a + 3*h - 5 + m. Let i(b) = b**2 + 5*b + 3. Let v be i(-5). Is a greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 u, and 1 d when three letters picked without replacement from dujjnjunojjj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (92 - o - 92)*(-2 + 3 - 2)*(-1 + 2 - 4)*(10*o + 3*o - 5*o) as y + k*o + x*o**2 and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 8. Suppose 0 = -m*b - 4*b + 54. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1126*k - 16725*k**5 + 11485*k**5 - 1246*k wrt k.\nAnswer: -104800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9009, 4\/7, -0.1, 4\/3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 22. Let g be y(18). Does 6 divide -4*1*((-55)\/g - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - 36*u - 29. Let t be l(-14). Suppose -t + 31 = -4*g. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -473014, -946004, -1418996, -1891990, -2364986?\n\"Answer: -y**2 - 472987*y - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -45761, -183047, -411859, -732197, -1144061, -1647451, -2242367?\n\"Answer: -45763*u**2 + 3*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/2*(-36)\/(-63). Suppose 0 = -2*l - i*f + 314, 5*l - 3*f = 662 + 123. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, q: 1, f: 2, c: 2, i: 1}. What is prob of sequence fci?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1007, 2 in descending order.\nAnswer: 4, 2, -1007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 244 + 20. Solve f - 32 = -a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * -106.\nAnswer: 12.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 612 = -2*b, 0*o = 5*b - o - 1539. Calculate the highest common divisor of b and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5 + 74*r - 7 - 25*r. Is v(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74885529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -418\/443519 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7430196, 14860382, 22290570, 29720760?\nAnswer: 37150952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27300 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6487*l. Let p(m) = -20*m**2 + m - 761. What is p(x(i))?\nAnswer: -841623380*i**2 - 6487*i - 761","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 + 24*z - 4. Let d be l(-11). What is the highest common divisor of d and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/923 - -1514\/76609. Which is bigger: g or -6.6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.461602763 - 23?\nAnswer: -22.538397237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 967000 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*(210\/294 - (-74)\/14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113 - 110. Suppose -s = -5*z + 21, 3*z = s + v + 8. Solve h + h = -10, -z = -5*o - 2*h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 11. Let o(q) = -932*q + 132. Give 2*o(s) - 24*r(s).\nAnswer: -1888*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hata when four letters picked without replacement from {t: 1, d: 1, a: 4, h: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0.34. Let x = j + -0.31. Round x to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.797 + -0.003. Let s = f - -7.79926. Round s to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 392 and 8176.\nAnswer: 57232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shs when three letters picked without replacement from {q: 3, s: 7, h: 9}?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + 4 + -9 + -1 + (10 - (-6 - -15)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818.8257 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 + 25*o**3 + 125*o**2 - 625*o.\nAnswer: -5*o*(o - 5)**2*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1952 and 58560?\nAnswer: 58560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.01 - 0.31. Let s = k - -3.7. Round s to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2961 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 8:09 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1544*j**2 + 15*j - 75. Let k be m(5). What is k rounded to the nearest one thousand?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 0, 1, 48, -2, -250 in ascending order.\nAnswer: -250, -2, 0, 1, 48, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 - 1607530*h\/3 - 646038175225\/3.\nAnswer: -(h + 803765)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1519*r**4 + 45*r**2 - 4195*r - 155.\nAnswer: 18228*r**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.3 + 33.7. Let b = -47 + q. Let f = -7\/2 - -4. What is the smallest value in f, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-9) + 17\/3. Suppose -37*l + 1 = -147. Solve l*v + 0 + 20 = 2*f, -a = v + 4*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-18)\/h)*h)\/(h\/(h*(h\/((h\/((h*h**(1\/10))\/h))\/h))\/h)) assuming h is positive.\nAnswer: h**(201\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -673, -665, -653, -637, -617?\n\"Answer: 2*t**2 + 2*t - 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12*x**2 - 1785*x + 1031. Give l(150).\nAnswer: 3281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641335.\nAnswer: 5, 29, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**3 - 4*w**2 + w + 3. Determine i(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113562000 divided by 2025.\nAnswer: -56080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 x when four letters picked without replacement from {x: 7, h: 9}.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/30 + (-2219)\/(-105). Calculate the greatest common divisor of x and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - 24*i + 16. What is g(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741479441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 3*c + 12. Let r be v(-7). Let b = 45 - r. What is the second biggest value in 2\/9, 2\/7, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1543780 by 154378.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1507 * 50.5\nAnswer: 7.61035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 149760?\nAnswer: 149760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 245578471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y**2 + 5297*y + 14. Calculate w(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p = 0. Suppose -4*y + y - 2*x + 37 = p, -21 = -y - 5*x. 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 vth term of -1088994, -1088995, -1088996, -1088997, -1088998?\n\"Answer: -v - 1088993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -42360960 divided by 4\nAnswer: -10590240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 268064.894 rounded to the nearest 100?\nAnswer: 268100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 16.042 kilometers?\nAnswer: 16042000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135 - -134.922. Round s to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -3*o**4\/4 - o**3\/3 - 4*o**2. Let g be n(-1). Let h = g + -16. Solve -4*w - 1 + 5 = h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*v, 5*n - 3*v - 609 = -6*v. Let o be (-40)\/n*(-3)\/5. What is the nearest to -2 in 1.1, o, 8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120 + 127. Let b = 94 + 9. Suppose n - b - 31 = -5*k, 2*k + 3*n = 51. Solve 0 = -4*j - k + z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(3)*-1*-5) + -2 - (-5*sqrt(9)\/sqrt(3) - (2*sqrt(3) + 4)))**2 + -3.\nAnswer: 12*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103 + -36?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-42) - 527899\/651. Calculate the remainder when 323 is divided by (-38)\/380 + c\/(-10).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*k = 3574 - 94 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/32 and -111\/56.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9708 - 160.0292. Let a = -2 + 7\/3. Sort -2\/17, l, a in descending order.\nAnswer: a, -2\/17, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11589621 to the nearest integer?\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 98302909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 5. Let c be a(8). Let f(x) = 4*x - c - x + 2. What is the units digit of f(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**5\/60 + 2*c**3\/3 + 5*c**2. Let n be q(0). Calculate the greatest common divisor of n and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m - 2. Let i(t) = 13*t + 7. Let h(w) = -i(w) - 4*q(w). Let f(p) = p. Determine 10*f(j) + 2*h(j).\nAnswer: 8*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 329*v + 2*v**2 - v**4 + v**3 - 170*v - 1 - 158*v as u*v**2 + w*v**4 + c + r*v**3 + f*v and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -41438480 rounded to the nearest one million?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 9 - 7)*(-4*d**2 + 3*d**2 - d**2).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25860\/32 - (527\/(-68) + 8). Which is smaller: x or 808?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.09, 58, 0, 3\/5, 35?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -60*c + 1391. What is the remainder when 37 is divided by s(23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (-63)\/(-81)) + (-3272)\/(-18) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84062\/1474 - 16) + 26\/(-871)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -178*q + 6*q**2 + 277 - 5*q**2 + 273 - 550 to the form x + w*q + d*q**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4))**(-43)*q**(2\/53)*q**5 assuming q is positive.\nAnswer: q**(9383\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**2 - 9*f. Let y(u) be the second derivative of -5*u**4\/12 - 5*u**3\/3 - u**2\/2 - 37*u. Let i(r) = 6*m(r) - 5*y(r). Calculate i(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0094883471 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1804*d**2. Let a(h) = 2*h + 24. Let r(p) = -10*p - 132. Let y(u) = 11*a(u) + 2*r(u). Determine z(y(o)).\nAnswer: 7216*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) 2\/67 (c) -0.3 (d) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12939, 25675, 38187, 50475?\n\"Answer: -112*c**2 + 13072*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7*(-24)\/56 + 0 + 1. Suppose -o*l - 3 = -3*j, -2 + 5 = l. Solve -2*m = j*u - 15, 1 = -2*u + 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 3. Let v = p - -6. Suppose 0 = -v*q - 20, 402 = 2*w + 4*q - 7*q. Calculate the highest common factor of 39 and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-2))\/(((-6336)\/12)\/(-11)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 185, 509, 831, 1151?\n\"Answer: -h**2 + 327*h - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15228 - 3652?\nAnswer: 11576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 3204.\nAnswer: 1\/1602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 < -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*g + 128*g - 24 - 18 + 42.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(756) - (sqrt(756) - sqrt(756)*-4 - sqrt(756)))*2*5)\/(sqrt(384)\/sqrt(2) - -1*sqrt(300)))**2.\nAnswer: 40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3 + 177*b**2 + 6959*b + 6783 = 0. Calculate b.\nAnswer: -119, -57, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/((-1)\/4*-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -336 - -400. Sort -1\/3, h, 3 in decreasing order.\nAnswer: h, 3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**5\/60 + q**4\/4 + q**3\/3 + 4*q**2 - 4. Let b(d) be the second derivative of s(d). What is the units digit of b(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3712 = 2*f - r - 475, 0 = 3*r - 9. Suppose 5*x - 5*s - f = 0, -4*s + 1892 - 200 = 4*x. Suppose -x = -7*h + 279. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 5) to base 7.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4 = y, 45 = t - 4*y. Let m(c) = -c**2 + t*c**3 - 3*c + 5*c + 6 - 9. Is m(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10393 and 104.141858.\nAnswer: -10288.858142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -189.58 - 4.42. Let m = s - -168.8. Round m to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 11\/3 (c) -5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2600578, 2600554, 2600518, 2600464, 2600386?\n\"Answer: -r**3 - 17*r + 2600596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065 is divided by 483\/(-22) + 22 - 3937\/(-22)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -47?\nAnswer: -5\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or 1478773.92?\nAnswer: 1478773.92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 687 - 662. Let p = 25 - h. Which is the nearest to 4? (a) 3 (b) -1\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35100 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -726, 5, 187 in ascending order.\nAnswer: -726, 5, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 - 3)*(-9*z + 798 - 798) to b*z + s and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -16. Differentiate p - 4 - s + 4*s wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 11170 = -q. Let p = q + 44691\/20. Find the common denominator of 133\/6 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 = 2*y + y. Suppose 5*o = 2*k + y, -2*o - 3*k = -5*k - 54. Suppose 1 = 2*w - o. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 19*k**2. Let q(m) be the third derivative of -m**4\/12 + 6*m**2. What is f(q(s))?\nAnswer: 76*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**3 - 4*h**2 + 3*h + 1. Let r be n(-2). Let k = 34 + -33.87. Let w = k - -0.07. What is the closest to -2\/5 in r, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222303 + -203?\nAnswer: -223112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135414 - 135382.9965. Let z = -31 + h. Round z to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + f - 4. Suppose -3*u - 5*h + 3*h = 7, -h - 2 = u. Let p be w(u). Calculate the highest common divisor of 10 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/7 + 45774*h\/7 + 174604923\/7.\nAnswer: 3*(h + 7629)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h**3*x**3 - 62*h**2*x**3 - 168*x**3 wrt h.\nAnswer: 9*h**2*x**3 - 124*h*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 511 and 159282569?\nAnswer: 1114977983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3656173 is divided by 522309.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5 = -q, -5 = n - q - 2. Which is smaller: n or -13\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 3*y**2 + 10*y. Let w(u) = 4*u**2 + 8*u. Let q(x) = -4*f(x) + 5*w(x). Factor q(i).\nAnswer: 4*i**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/3*3 + -4. Let b(q) = -63 + o*q + 65 + q. Let d(u) = -u. Calculate b(y) + 8*d(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 424*k**2 + 5 + 11 + 415*k**2 - 840*k**2 + 9*k. Let w(l) = 4*l**2 - 2*l - 1. Let s be w(2). Give m(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, f: 2, v: 1, y: 1}. What is prob of picking 1 x, 1 f, and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 148*w**2 - 2111*w + 131. Give u(-132).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 + 10*a**2 + 5*a - 4. Let x be h(-4). Solve 7*m - 5 = x*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 + 4)*4\/(-80) and 18*5\/44 + -1.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*f*m*o**3 - 1043329*f*m + 8519*f*o**2 - 4*f*o - 2*m*o**3 wrt o?\nAnswer: -462*f*m*o + 17038*f - 12*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, 5, 20 in ascending order.\nAnswer: -17, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654*y + 868 = -14174 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 273782?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i - 5*i + i)*(28 - 16 + 27) - 3*i + 42 - 42)*(-i**4 + 2*i**4 + 0*i**4).\nAnswer: -120*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2 - 10*p**2 + 15*p**2. Let v(a) be the second derivative of 65*a**4\/3 - 7*a - 5. Calculate v(d(m)).\nAnswer: 1040*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -35. Solve -5*y = -10*y - d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 108\/6*1\/(-2). Let m = j - -13. Let v(o) = -o**2 + 4*o + 4. Give v(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2246250 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2 - -4) + (-5)\/2)\/1. Let f = 6 + -1. Which is the smallest value? (a) f (b) -1\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(5\/7)*i)\/i*i*i**(-4)*(i*i**0)**(-1\/48) assuming i is positive.\nAnswer: i**(-439\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16 - -26)*(0 + -202). Let n = b + 11313. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261 + 1227*b + 116*b - 15*b + 261.\nAnswer: 1328*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79582 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14857607.\nAnswer: 1237, 12011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8872 = -6*q + 8*q. Suppose 2534 = 10*a - q. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.011?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -745 (base 12) in base 3?\nAnswer: -1110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 152 + (4 - (11 - 4)). Let a = q - -67. Suppose 5*g - 148 = 5*w + 117, -a = -4*g + 3*w. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -32502.\nAnswer: 2\/16251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100101000001 - -10001100011010011?\nAnswer: 10110001000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/3, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 + 644539*f**4 + 67*f**3 - 1289077*f**4 - 4*f + 644535*f**4 to r + b*f**2 + g*f**3 + w*f + j*f**4 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 6*n**2 + 9*n + 7. What is q(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.2 + 5. Let x = -48 + 43.8. Let y = x - o. What is the closest to 3 in -2, -2\/13, y?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2325330 and 59\/405.\nAnswer: 20927970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100 - 1001020010?\nAnswer: -1001011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 - -161. Let b = u + -27. Suppose q + 3*q = b. Calculate the remainder when q is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4958 - 4926. What is the least common multiple of 74 and z?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 82785.43 millilitres?\nAnswer: 82.78543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 4*t + 5. Let r = -6 - -9. Suppose -r*l - 5 = 10. Calculate v(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69774389*g*q**2 + 118623434*q**2 wrt g.\nAnswer: -69774389*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 - -48. Put 5, 10, w in descending order.\nAnswer: 10, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137242 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(960\/(-25)))\/((190\/19)\/(-800))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*h - 1323 = 0, -2*z - 16*h + 19*h = -921. What is the greatest common divisor of 6 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 784.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -81 + -367?\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -12*z**4 - 33*z**3 + 21*z**2 + 33*z - 9 = 0?\nAnswer: -3, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6848, 24, 0.1?\nAnswer: -6848","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 1, -4, -1.\nAnswer: -4, -1, 1, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-4))\/(-9)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 3. Let s(d) = -d**3 - 5*d**2 - 2*d + 6. Let i(l) = -l**3 + l**2. Let j be i(1). Suppose j = x - 0*x + 4. Let t be s(x). What is o(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 5:22 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -0*n + 3*n + 1, -365*s + 370*s + 3*n + 8 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 191. Is t a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84595 + -49259. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -19\/6 (b) -0.4 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.186 + -0.186. Let p = 280 + -280.274. Let t = p + -0.036. Is i smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 90379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and 195.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -13*i - 1. Suppose 0 = -2*j + 4 - 6. Is 4 a factor of g(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 16 = -3*x + 5*a, -2*x + 4*a = 16. Suppose 0*j + 3*j - 12 = x. Differentiate 3*g**2 + g**3 + 4 + j*g**2 - 7*g**2 with respect to g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 336296735\/432 - 778465. Find the common denominator of 151\/360 and z.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -47. What is the smallest value in -3, -2, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50635811497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9593243069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48493493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g*s**3*y**3 - 2*g*s**3*y + 29*g*s*y + 14*g*y**3 + 2*g*y**2 + 3*s**3*y**3 wrt y.\nAnswer: 18*g*s**3 + 84*g + 18*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8918057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2075285.\nAnswer: 5, 47, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2421720 is divided by 3609.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*r = 241*r - 345. Solve -v + 2*m + r = 0, -2*v + m + 10 = -0*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + w - 1. Let d be (-35)\/(-6) - (-5)\/30. Suppose 0*x = -4*x, -3*x = -b - 22. Let p be (-2)\/3 - b\/d. Calculate z(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 7*y. Let g be x(-7). Let j(v) = v + v - v + g*v. Let w(z) = -6*z. Determine w(j(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.14051 rounded to one dp?\nAnswer: -127.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1122331 (base 8) to base 7\nAnswer: -2405206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70\/13 + 838\/117. Find the common denominator of w and -31\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19\/8 (b) -0.4 (c) 3\/472\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-r + 3*r - 3*r) + 187*r - 56*r + 2 - 2.\nAnswer: 133*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i**3 - 19*i**3 + 41*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.01 (b) 39\/14 (c) 8\/5 (d) 5 (e) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2306835 and 71768200?\nAnswer: 645913800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -182096289 divided by 1\nAnswer: -182096289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uubuubuubuuuuuuuuuub. What is prob of picking 1 b and 1 u?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 8*c**2 + c - 13*c**2 + 22*c**2 - c**2 + 3*c**2 - c**2 + (4*c + 0*c - 2*c)*(-c - 2*c + 2*c) - c**2 + 5 - 5.\nAnswer: -c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15\/141859 + 3361937\/937971708. Find the common denominator of f and -81\/812.\nAnswer: 46284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-147)\/(-1890))\/((-61)\/(-610))?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*r + 23*r - 557*r + 33526 + 39590 = 0 for r.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 997 - 64*d + 51*d - 485*d wrt d?\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 46817*s - 46810*s + 5*h, h - 38 = -5*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1613680757259.28999924 + -1613680709191. Let g = s + -48068.3. Let i = g - -0.01. What is i rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157*q - 142*q - 3*q**2 + 4*q**2 - q**3 to the form k*q**3 + x*q**2 + c + s*q and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5\/7 + 3*q**4\/7 - 66*q**3\/7 - 120*q**2\/7 = 0. Calculate q.\nAnswer: -4, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*r = -42*r + 89*r. Let f(z) be the second derivative of -3*z + r*z**2 + 0 - 1\/4*z**4 + 0*z**3. Let n(w) = -2*w**2. Calculate f(n(t)).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -7. Suppose 2*q - s - 12 = -3*m, m - q = 2. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6634399 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.92 - 7. Let v = 0.32 - s. Let l = 1.9 - v. What is l rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 5:48 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10*5)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 34439*a - 34444*a = -21, i + 22 = 4*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2646 + -0.1354. Put o, -2.75, -5 in increasing order.\nAnswer: -5, -2.75, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 406452?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + d - 1. Let r(o) = -73*o**2 - 14*o + 5. Let w(s) = -r(s) - 5*t(s). Find the second derivative of w(j) wrt j.\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -1baa?\nAnswer: -1baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4410\/196*(-1)\/((-21)\/(-28))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2405.92088 to zero dps.\nAnswer: -2406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 328 = -0*r + 4*r, 4*j = r - 73. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 4:16 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f - 3. Let a(k) = -3*k - 2. Let z(i) = 2*i**3 + 18*i**2 - i - 5. Let q be z(-9). Let c = -1107 - -1102. Give c*a(b) + q*r(b).\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 250 and 1025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.003843 and 362.\nAnswer: 1.391166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*y + 209 + 19 + 18 + 140.\nAnswer: 128*y + 386","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**3\/6 + w**2 - 95*w + 198. Let o(u) be the first derivative of q(u). Let h = 2 + -6. Determine o(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7}. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -13\/15*f**3 + 3\/10*f**4 - 7\/5*f**2 - 3\/5*f - 49. Factor v(q).\nAnswer: (q - 3)*(2*q + 1)*(3*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 - 12 - (-6 - -1). Find j such that -2*j - 3*j + 3*j - 1 - j**i = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j. Let l(o) be the second derivative of o**4\/3 - 6*o. Give w(l(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1635 and 9267180.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 h when three letters picked without replacement from hzzzzhzzzzzzz?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 11*r**3 + 2*r**2 + 3*r - 8. Let x(p) = -3*p**2 - 5*p. Let h be x(-1). What is the tens digit of f(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 75239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -153*a + 915 + 123. Let m(o) = 2*o + 0*o - 5*o - 5. Let q(d) = d + 3*d + 4 + 2. Give a*m(x) + 5*q(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**5 + 253609*a**3*j**2 - 10*a*j - 60*a + 31*j**2 wrt a?\nAnswer: 20*a**3 + 1521654*a*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**5\/60 - l**4\/24 + l**3\/6 + 2*l**2 - 1852*l. Let j(s) = 5*s**2 + 5*s - 1. Give -j(y) - 3*z(y).\nAnswer: -2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: a (base 15) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -7.7. Let p = 540 - 540.1. Which is the closest to p? (a) 1\/6 (b) o (c) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 59400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -24*z. Let t be w(1). Suppose -32 = -4*d - 0. Suppose d*h - 24*h = 400. Is h < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Suppose -5*u = 5*n - 10, u - 12 = n + o*n. What is the lowest common multiple of (16\/(-3))\/(130\/(-195)) and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 11. Let o = 8 - 9. What is the closest to o in x, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 12 = -7*b, 5*b = 5*m - 80. Calculate the smallest common multiple of m and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16082 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 61\/2 of a hour?\nAnswer: 1830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 29. Let g be u\/8 + 4\/16. Which is bigger: 4 or g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 909 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g**2 - 33*g + 24. Determine y(6).\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 96*i - 27. Which is the third smallest value? (a) -0.1 (b) 38 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t - 23840 = -66*t. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -11. Let a(u) = -156*u + 1612. Let r be a(10). Let i = r - k. What is the greatest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.02 (b) 0.0792 (c) 20.2 (d) -0.4 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -195 - -201. Let y = 6 + -4. What is the lowest common multiple of f and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (76\/133)\/((-2)\/(-14)). Solve -q*p + 7 = -5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536.4048nm in kilometers?\nAnswer: 0.0000000005364048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44418 and 1254.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 36.9*1\nAnswer: 36.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -15. Suppose 2*l - v*n - 2 = 0, 3*l - 2*n + 0*n - 3 = 0. Suppose -3*i - 8 = l, i = 4*s - 79. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008033 rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.352143 rounded to three decimal places?\nAnswer: 1.352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5*q + n, -2*q - 4*n + 2860 = 2874 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 17*s + 5. Let v be i(-17). Suppose p - 2640 = -v*p. What is the greatest common factor of 40 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 7. Let m be r(3). Suppose -m = 2*a - 15. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1599, 4, 1436, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnkkkk. What is prob of sequence nkk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1846+-10\nAnswer: -1856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 36 = o - 96, -o - d + 117 = 0. Calculate the greatest common divisor of o and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1220 - -2081. Suppose 2*o + 757 = u. What is the highest common divisor of 8 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 6. Suppose r + 926 = -2*h, -5*h - 5*r = 675 + 1635. Let o = 475 + h. Determine a(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44 and -358.\nAnswer: -15752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s + 15 = 5*b, -4*s + 37 = -3*b. Let w = -27 - -46. Calculate the remainder when w is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (254\/4064)\/((-7)\/(-32))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 160*i + 71*i - 48*i - 2013. What is the remainder when (-438)\/4*4\/(-6) is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 7:19 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4*k**(-1)\/k)\/(k**(-1\/4))**(-27))\/((k\/((k**(2\/5)*k)\/k)*k*k)**(-8)\/(k**(-4\/7)\/k**(-4))) assuming k is positive.\nAnswer: k**(2727\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7109, 7142, 7195, 7268, 7361, 7474, 7607?\nAnswer: 7760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**2\/4 - 12*q - 171\/4 = 0.\nAnswer: -3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(100) + ((sqrt(17) - sqrt(153)) + 5)**2.\nAnswer: -99*sqrt(17)\/5 + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17426488\/27 or 645426?\nAnswer: 17426488\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*o + 2 + 11 + 180*o + 100*o.\nAnswer: 423*o + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(((f\/f**(-5))\/f)\/f)*f\/f**(-1\/5) assuming f is positive.\nAnswer: f**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 25252025?\nAnswer: 25252033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3) + 0)*3. Let u = -5 + d. Let o(i) = -14*i - 17. What is the units digit of o(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 565880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.02 or -793860?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -547189712, -547189718, -547189728, -547189742, -547189760?\n\"Answer: -2*s**2 - 547189710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3646348 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 take away 49789?\nAnswer: -49776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-4))\/((-12)\/16). Let v(o) = o**3 - 3*o**2 - 7*o - 5. What are the prime factors of v(u)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*19\/(570\/(-20))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18483*d**4*i - 195*d**2*i - 8*d**2 - 2*i wrt d?\nAnswer: 443592*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12085 by 5.\nAnswer: 2417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 2}. What is prob of picking 2 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1088.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -123, -228, -343, -450?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, -1, 4, 72 in decreasing order.\nAnswer: 72, 5, 4, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4026*u**4\/7 - 133234*u**3\/7 - 265500*u**2\/7 - 15816*u + 560 = 0. What is u?\nAnswer: -14\/11, -2\/3, 2\/61, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-48)*(-36)\/(-8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-42)*(-2)\/(-8). Let i be (5\/((-10)\/(-12)))\/(21\/28). Let q be (i\/(-30))\/(8\/(-20)). Which is the closest to q? (a) v (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l + 51*l - 16*l - 15*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/11 + (-702)\/143 + 100\/4. What is the highest common divisor of x and 1956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d + 52 = 9*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + -49. Suppose 0 = 6*t - a - 2. Suppose t*j + 3*r - 11 = 3*j, 5*r = 5*j - 15. Solve -11 = -5*k + p + p, 3*k - j*p = -1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85021 divided by 4974\nAnswer: 85021\/4974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 492411, 492403, 492393, 492381, 492367, 492351, 492333?\nAnswer: 492313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*j - 204, -4*i - 5*j = i - 1100. Suppose 3*k - i = -72. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojjjgmgggnjojommjgmm. What is prob of sequence mj?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(128)*-3*-5 - 6*((sqrt(128) - (3*sqrt(128) + sqrt(128))) + 0))**2.\nAnswer: 2640*sqrt(2) + 139417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 231*u - 673. Let j be v(3). What is the highest common factor of j and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 1, -4412.\nAnswer: -4412, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -203*r - 281*r - 132*r + 186*r as b + k*r and give k.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 4*y - 2*y)*(1 - 2 - 420125*y + 420181*y).\nAnswer: -56*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 - 1.50000078. What is n rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 7*g - 98. What is the smallest common multiple of 8 and g?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 6:35 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -1 + 0 - (0 - 29). Suppose 2 = -2*r + v. Let j = 26 - r. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1116 divided by 93.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -9)\/(6 - 5). Is -7 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 u when four letters picked without replacement from unpnuinpinuun?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3703266710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*m + 29, 2*t + 2*m + 2 + 4 = 0. Let j(l) = -l**3 - 3*l**2 + 10*l + 3. Let y be j(t). Let z(s) = 0*s**2 - 2*s + 1 + 2*s**2 + y*s. What is z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 171*h**3 - 1914*h**2 + 6336*h - 6432.\nAnswer: 3*(h - 4)**2*(h - 2)*(h + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzdzzzzsyyztzzyyzzq. What is prob of picking 1 y, 1 t, and 1 d?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 732477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/28 + 35\/(-4). Let t = -7 - g. Suppose w = 2*o + 37, 2*w + t*o + 124 = 6*w. What is the remainder when w is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -27 and -2315\/88 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-2\/39)*d**(-9)*(d*d*((d\/(d\/d**(-2\/9)))\/d)\/d*d)\/d**(-1\/35) assuming d is positive.\nAnswer: d**(-29668\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 34.9, -24 in decreasing order.\nAnswer: 34.9, -0.7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(4\/9)*(u**(1\/5)*u)\/u*u)\/(u**0)**35)**(-5))**(-41) assuming u is positive.\nAnswer: u**(3034\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*w**2 + 3 - 3 + 1 in the form v*w**2 + s*w + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 329485?\nAnswer: -9\/329485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 12:57 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1701\/6)\/7*(-788)\/20685)\/(4\/(-10)).\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3775808 is divided by 2093.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s - 11*s**4 - 7*s + (2*s**2 - 3*s**2 - 2*s**2)*(90*s**2 + 15*s**2 - 12*s**2) to the form i + a*s + n*s**2 + t*s**3 + y*s**4 and give y.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/35 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 5*x**2 + 5*x. Suppose 4*c = 9 + 3. Suppose c*a - 10 = -0*l - 2*l, -4*l + 20 = a. Suppose a = 5*d + 3*b - 8, -5*d + b + 20 = -4. What is z(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3367.824km?\nAnswer: 3367824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 8204?\nAnswer: 8204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4086*r**4 - 2*r**3 - 28025*r wrt r.\nAnswer: -49032*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*h**4 - 31*h**4 - 5*h - h**3 + 53*h**4 + 2 - 1 to d*h**2 + n*h**3 + f*h**4 + j + g*h and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*z**3 + 70*z**3 - 17*z**2 + 44*z**2)*((2 - 1 - 2)*(3*z - 5*z + 4*z) + 3*z + 5*z - 5*z).\nAnswer: 5*z**4 + 27*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824*u - 545*u - 35282 = 298*u + 33065 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10*g - 14. Give f(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2306413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410034733 to the nearest integer?\nAnswer: 20249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 397571 and 4370134?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 25\/4, -9\/11, -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 10*t + 15 = 0. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - -3807567 - (-3 + 1). Suppose 3004008 = 4*a + 2*y, -5*a - 5*y = 52547 - q. What is a rounded to the nearest ten thousand?\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-4)*(-2)\/(-4). Suppose -4*b = o*r + 119996, -2*b = -4*r + 3*b - 160005. Round r to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -0.023, 3\/7 in decreasing order.\nAnswer: 3\/7, -0.023, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 54364750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*1*20\/8. Let d(z) = 4*z - 2*z**2 + n - 6*z + 4*z**3 - 4. List the prime factors of d(2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22\/7 - 37\/14. Let s = -14 + 9. Let f = 3 - 6. Which is the third biggest value? (a) i (b) s (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 1691956?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 6*l**2 + 4*l + 3. Let t = 215 + -210. Let k be r(t). Put 1, -5, -4, k in increasing order.\nAnswer: -5, -4, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -3*x - 18. Let n = -15 - x. Let d be (-18)\/(-81) + 782998\/n. Round d to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 3. Let j = u + -3. Let r = 0 - 0.5. What is the nearest to -0.1 in j, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxxy when four letters picked without replacement from yxydyxy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 243*l**3\/2 + 679*l**2 - 1665*l. Differentiate b(o) with respect to o.\nAnswer: 729","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Let i = v - 1. Let f(n) = 3 - 6*n**i + n**3 + 6*n + 4 - 6. Determine f(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(33) + sqrt(33)))\/(sqrt(3) + sqrt(3) + (sqrt(300) - -2*sqrt(300))).\nAnswer: -5*sqrt(11)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g + 0*g + 2*g - 9 - 4*g. Calculate the remainder when 32 is divided by m(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 6:16 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -10*h**2 + h + 23. Let v be q(-5). Let u be (-1 + -1495)\/4 - 1. Let g = v - u. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -114 and -1.4.\nAnswer: -115.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92941506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*u = 13, 0*m - 2*m + u + 11 = 0. Suppose -3*d + m*d = 17. Suppose 7 = -5*t + d. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15155465*f + 18237599 wrt f.\nAnswer: 15155465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -449465 plus -3?\nAnswer: -449468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -285820, -0.2, -26\/3?\nAnswer: -285820","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)\/g*g*g*g)**22\/(g\/(g\/g**(4\/3)))**(-1\/8))**(-9) assuming g is positive.\nAnswer: g**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = j, 5*h = 3*j + 2 + 2. Suppose h*m = -m. Solve -5*k + m*k - 10 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1634 + 2160 - 1223)*(0*i**5 + i**5 - 4*i**5).\nAnswer: -7713*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkh when three letters picked without replacement from {h: 2, m: 1, k: 5, r: 8}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*29259\/(-162) - 6\/9.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18540184 divided by -8?\nAnswer: 2317523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c - 35242 = -35372 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.006 - -4.594. Let i = w - 6.6. Put 0.4, -4\/7, -4, i in descending order.\nAnswer: 0.4, -4\/7, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -55\/3, -4, -41473, 0.4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96096493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 46*l + 29. Let t be k(-17). Let f = -443 - t. Let a = f - -199. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/30 and 483\/(-4410) + 2 + (-8)\/6.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1 + 1 + n - 1. Let a be f(5). Suppose -u + 7*x - a*x = -43, -5*x = u - 11. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 21\/4 - 109\/20. What is the biggest value in p, 0.4, 3, -0.12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2425722 and 2466.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + v - 2. Suppose 5*d - 39 = -9. Let x be s(d). Let j = 150 - x. What is j rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z + 19. Let h be (-6 + 3 - -2)\/(2\/(-8)). Suppose 4*m - 10 = -h*p + 42, -5*m = p - 49. Let x be t(m). Sort x, 5, 0 in decreasing order.\nAnswer: 5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**3\/5 - 1256*m**2\/5 - 3692*m\/5 + 2488 = 0. What is m?\nAnswer: -311, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uymeey. What is prob of sequence eyu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46970231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 3, 1\/6, -33.9, 0.6, 21?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence naa when three letters picked without replacement from {x: 4, n: 5, a: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 + 644*d**2 - 588*d + 19475. Give g(-323).\nAnswer: 741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240097 divided by 949.\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2 (c) 0.119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 3:54 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 131 + 143\/6*n**6 + 51*n**2 + 0*n**3 + 0*n**5 + 0*n**4 + 0*n. Find the second derivative of m(q) wrt q.\nAnswer: 2860*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 2, 0.3, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 281560933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70791730.\nAnswer: 2, 5, 37, 293, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/202476564 and 85\/796368.\nAnswer: 809906256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 53101 - 26551 - 26550 + 2*s. Let z(w) = -630*w. Calculate z(r(p)).\nAnswer: -630*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*i + o, -3*o + 20 = -3*i - 8*o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 0*f - 6 + 4*f - 21. Let d be a(7). Let k be ((-65)\/(-52))\/(d*1\/(-4)). Sort 3, k, 0 in decreasing order.\nAnswer: 3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 504 and 546?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -18.1. Which is the fourth smallest value? (a) -5 (b) 2\/5 (c) o (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*f - 30*f**2 - 2\/3*f**3 - 2250 = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 120 = 1329. Let b = 70 + -63. What is the greatest common factor of b and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 - 3 + 185*r + 4 + 2.\nAnswer: -4*r**2 + 185*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7833145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(80) + -2 - (-2 + sqrt(80)*-5 + sqrt(80)))**2.\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 - 1. Let l(w) be the second derivative of 3*w**5\/20 - w**2\/2 - 55*w. What is 3*l(f) - 2*u(f)?\nAnswer: 5*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -13*y + 12*y - 4, -2*y = -3*i + 7. What is the remainder when 34 is divided by (24\/(-9) - y)*(-21)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t - 1. Let y be x(-1). What is the derivative of 2 - 3 - y - d**2 wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -358.0978.\nAnswer: -143.23912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5978.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 1008*c**2 + 3980*c + 2976.\nAnswer: 4*(c + 1)*(c + 3)*(c + 248)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 40*r - 935. Does 143 divide b(-95)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2384*b - 4 - 4769*b + 2386*b + 4. Let k(p) = -117*p. Determine k(v(n)).\nAnswer: -117*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17)\/(-5) + (-2)\/5. Suppose 6*h = 2*h - b*i + 4, 2*i - 8 = -4*h. Solve -2*d - 12 = 2*v, h*v + 11 = -1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5 - 3*i - 4*i + 3*i. Let p = 7 - 9. Let t(k) = -k - 1. Let d(n) = -6*n - 5. Let x(g) = p*d(g) + 11*t(g). Determine h(y) + 3*x(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7*d - 2*f + 2710, 0 = d + f - 539. Does 34 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/4)\/(-2))\/(7 + -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 121314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 7:10 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.25 + -0.05. Which is the nearest to 0? (a) v (b) -1\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929408?\nAnswer: 2, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/588 and -121\/20642328?\nAnswer: 20642328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 10243*x**3 + 3.\nAnswer: -10243*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**4\/o))\/(o\/o**(-6)*o)*(o\/(o\/o**0))**(-1\/18))**20 assuming o is positive.\nAnswer: o**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 128744 (base 9) to base 6\nAnswer: 1403534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/35 + 97\/70. Which is bigger: 15 or w?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*u + 15 + 85, 2*u = 5*q - 536. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21021 - 1121102100101?\nAnswer: -1121102002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 114.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015971346 rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 19686*q - 137796. Give j(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -206882266197 + 206880131789.000334. Let p = a - -2134412. Let c = p + -4. Round c to five decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -656, -1328, -1998, -2666?\nAnswer: -3332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1725, -1720, -1711, -1698, -1681, -1660, -1635?\nAnswer: -1606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -174040, -696168, -1566370, -2784646, -4350996?\n\"Answer: -174037*k**2 - 17*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 21*w + 35. Let v(t) = -30*t - 34. Let r(y) = 3*v(y) + 4*z(y). Let m be r(6). Solve -7 = -3*b + k, -7*k = -m*k - 25 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {y: 4, n: 2, r: 1, g: 3, h: 7}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*x - 250 = -2, 5*f - 650 = 5*x. Suppose -5*c + 4*z + 469 = f, 3*c = 2*z + 199. Let r = 84 - c. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 369.0462l to millilitres.\nAnswer: 369046.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.56433 rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7098 divided by -3549.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4305*w + 2 = 1280*w + 2. Factor 0 + 2\/3*i**4 + 14\/3*i**3 + w*i + 4*i**2.\nAnswer: 2*i**2*(i + 1)*(i + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*b - 67*b - 672*b**2 + 667*b**2 + 2 - 2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 + 0*a**2 + 2*a**3 - 2*a - 3*a**3 + 0*a**2 + 3 to the form v*a**3 + x*a**4 + u + k*a**2 + s*a and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 118 = -13*u. Calculate the remainder when 192 is divided by u\/(-2) + 1 + 15 + -10.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811 is divided by 194?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (245\/4)\/(9935\/15896) + (11 - -2)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -537 - -1373. Let c be t\/36 + 2\/(-9). Let z = 51 - 46. Solve 18 = -5*m - g, 3*m - z*g - 1 = -c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t*t\/(t\/(t\/(t**(2\/7)*t))))\/t*t))**(-23)*(t\/t**(-18)*t*t)\/t*t*t**(-2\/11))**(7\/11) assuming t is positive.\nAnswer: t**(2868\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 117, 235, 353, 471?\n\"Answer: 118*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -53*o - 67. Let b be n(-9). Let r = -311 + b. Calculate the highest common divisor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**3 - 1. Let q be w(1). Let j = 12 + -19. Let b(k) = k**2 + 5*k - 8. Let h be b(j). Solve 0 = -q*g - g - h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 times -35193640?\nAnswer: -3871300.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 567 - 2731867?\nAnswer: -2731300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -cd?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-70*f**2 - 21*f**2 - 70*f**2)*(f - f - f**2) as r + m*f**3 + y*f**2 + q*f + d*f**4 and give d.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26660?\nAnswer: 2, 5, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**3 - 35*m**2 + 9*m - 95. Let y be x(6). Let h(i) = i**3 + 6*i**2 - 3*i - 50. Determine h(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85274 to the power of 1\/2, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**3 - 18423 + 18423.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -519764.5959 to the nearest 10.\nAnswer: -519760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -236, -354, -472?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 9. Let k be a(6). Solve -k*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 37*g + 89. Let d be r(-1). Solve 51*u = d*u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -435 - -742. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 35. Let z(k) = 2*k + 2. Let i be z(-3). Put 0, p, i in descending order.\nAnswer: 0, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1968 and -31\/48?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-3))\/((-2)\/(-6)))\/(-9)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 7 = -22*n - 4*h, 2*h = 5*n + 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/(-114))\/(16\/512).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14770584 divided by 2439?\nAnswer: -6056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*a, -2*m = 4*a + 1 - 19. Suppose 0*h - a*h = -9. Solve v = z - 2*v - h, -4*z + 5*v = 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h - 28. Let v be (-296)\/(-32) + (-3)\/(-4). Let q be f(v). What is the second derivative of q*p**3 - 6*p - 13*p**3 + 4*p + 12*p wrt p?\nAnswer: -66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 28*j**3 - 39128*j**2 - 156560*j\/7 - 22368\/7 = 0.\nAnswer: -2\/7, 1398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2384 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4460941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3196690 to the nearest integer?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70933830 is divided by 2311.\nAnswer: 2307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*a - w + 3*w = 189*a - 4, 5*a - 8*w + 5*w - 7 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 - 2 = 0. Let y be 51\/15 + (-4)\/10. Let c = y - j. Is c >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.1, -133, -0.3, -0.1, 6\/11?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9318?\nAnswer: 2, 3, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**4\/12 - 159*a**2 - 12. Let x(b) = 30*b - b - 2*b. Calculate x(o(i)).\nAnswer: -54*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/26112 and 63\/464?\nAnswer: 757248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/10*(-40)\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or 19?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -10*a**2 - 141*a - 6. Let t(z) = -22*z**2 - 285*z - 14. What is 9*q(y) - 4*t(y)?\nAnswer: -2*y**2 - 129*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2091926702 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.91 - 22. Let w = 11.75 + -11.75. What is the third biggest value in 1, x, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424642966.\nAnswer: 2, 11, 17, 233, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d - 7. Suppose 15*f - 10*f - 60 = 0. Is q(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 386 = -5*c, -4*c + 2*q + 12 = -302. Suppose n - 4*w - 7 = 29, -2*w = -3*n + 148. What is the highest common factor of n and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -26. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2. Suppose -2*d - 10 = -7*d. Let a be q(d). Suppose 0 = -5*l - 5*z + z + 29, 0 = a*z + 16. Calculate the highest common factor of 72 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007376186 rounded to 4 decimal places?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*y = -0*y. Suppose y = -3*g + 2*z + 13, 3*g + 3*z + 7 = 10. Suppose 4*v - g = 5. Sort v, 3, 1.\nAnswer: 1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3801 - -42203. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 40610.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.49181 - 13.49181. Let j = 0.3 + -0.8. Sort x, j, -2.\nAnswer: x, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*q**2*v + 537046*b**2*v**2 - 2*b**2*v + 202*b*q**2*v + 15*b*q**2 + q**2*v**2 + 3*q**2*v wrt v.\nAnswer: 1074092*b**2 + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**6\/135 + 13*y**5\/90 - 2*y**4\/9 - 20*y**3\/3 - 5367*y. Suppose g(t) = 0. What is t?\nAnswer: -3, 0, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 10. Let h be w(11). Let z(m) = 4*m**2 + 2*m - 1. What is the smallest common multiple of z(h) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 23 - 7. Let j(t) = -10*t. Let a(g) = -11*g. Let u(f) = d*j(f) - 5*a(f). Let s(i) = 2*i. Give u(s(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 451d62?\nAnswer: 451d61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 0.01 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from {d: 1, q: 8, m: 4}.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 10978?\nAnswer: 32934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 - (2 - -1) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 77\/5, 4.6, -3, -0.77, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*y - 1\/3*y**3 - 4\/3*y**2.\nAnswer: -y**2*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 10:45 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 25 - 3. Suppose -4*i - 15 = -0*i + 5*d, -4*i - 2*d - 6 = 0. Sort w, i, -4, -1 in ascending order.\nAnswer: -4, -1, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iri when three letters picked without replacement from {r: 1, i: 4, m: 3, e: 6, c: 2}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, d: 2}. What is prob of picking 2 m and 1 d?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*w - 186*w - 21*w**2 + 63*w + 61*w + 4 - 17*w**2 - 13.\nAnswer: -38*w**2 - w - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -54?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-9))*(i\/i**(-3\/8))\/i)**(4\/7)*(i**(-1\/2))**3*(i\/(i\/(i\/(i**(-6)*i))))\/((i\/((i**4*i)\/i))\/i) assuming i is positive.\nAnswer: i**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 k, and 1 d when four letters picked without replacement from zddddzhvjdkzzkhjdhjz.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 96 = 0, -3*j = j + 26*d - 8*d - 16*d - 80 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 26*g. Suppose 2*c - 12 = -c. Let i(l) = -l + c*l + 2*l. Let d = 17 + -1. Determine d*i(z) - 3*q(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121204*p**2 + 120984*p**2 - 239456*p**2.\nAnswer: 2732*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c - 11. Let n be (-1)\/(-1*(-2)\/10). Let u be (12\/4)\/((-6)\/16). Let s(z) = -172 + z + 189 + 2*z. Give n*s(d) + u*l(d).\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 53, -31, -147, -295, -475, -687?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7564\/27 - -280. Let q(x) = x**2 + 10*x - 22. Let u(a) = -a**2 - 9*a + 23. Let d(o) = 7*q(o) + 6*u(o). Let r be d(-17). Which is bigger: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-10\/11))**(-49))**(-24))**(-33))**(-1\/7) assuming s is positive.\nAnswer: s**(-5040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.300814l to millilitres.\nAnswer: 7300.814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -12*z**3 - 10*z**2 + 2*z = 0?\nAnswer: -1, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -1, 528, 1, -5, -3, -4 in increasing order.\nAnswer: -85, -5, -4, -3, -1, 1, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2130948 - 0.2132. What is y rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -542, -8, 0, -55?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 380*t - 4*t**3 + 10525937*t**2 - 10525937*t**2 in the form u*t + q*t**3 + b + a*t**2 and give u.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + 5*r + 5*r)*((2 + 1 - 2)*(0*r - 2*r + 0*r) + 4*r - 4*r + 3*r + 2*r + 15*r + 8*r) to the form m*r**2 + w*r + x and give m.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3147 to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3)*c**(-11))**(-33)*(c**(-2))**(-5)*(c*c**(-3\/5)\/c)\/(c**6*c) assuming c is positive.\nAnswer: c**(1882\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6817284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*(25 + (-1717)\/68).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 - 1 - (4 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(153)*4 - -1*(-4*sqrt(17))**2).\nAnswer: 12*sqrt(17) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68132816.856722 + 68132096. Let i = t + 705.8567. Let v = -15 - i. Round v to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3238 tonnes in milligrams?\nAnswer: 323800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 8:38 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -11*u - 40. Let y be (20\/(-2))\/(3 + 5 - u). Suppose 114 = 4*k + 5*x, -2*k - y*x = -3*k + 16. Solve -3*c = 4*r - 9, 4*c + k - 7 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 2 - 2. Let x = -2.7 - 0.3. What is the second biggest value in -4, x, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*u + 29. Suppose -u - 2 = -5*j. Find the second derivative of -3*p**4 + 3*p**4 + 9*p - 7*p**4 - j*p wrt p.\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 780*d**5 - 3*d**4 - d**3 - 3047*d**2 + 2*d?\nAnswer: 46800*d**2 - 72*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 4034466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 467990651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 61959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/15)*r**15)**(-4)\/((r\/r**(-2))**(2\/79)\/(r**2\/r)**(-41)) assuming r is positive.\nAnswer: r**(-119143\/1185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76744?\nAnswer: 2, 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/3 - 1996*v**2\/3 - 134368*v = 0. What is v?\nAnswer: -1768, -228, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqr when three letters picked without replacement from {q: 2, r: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9525709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -2*a**5\/35 - 3*a**4\/14 + 4*a**3\/3 + 48*a**2\/7 + 64*a\/7 - 1180. Solve r(l) = 0.\nAnswer: -4, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56557.44 centimeters to nanometers.\nAnswer: 565574400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, 0.446, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -8*k + 7*k - 18, 18 = 2*c - 4*k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3ca3 (base 16) to base 8\nAnswer: 36243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 17911670.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14915 + 14910. Put k, 7, -1, -2, -0.1 in decreasing order.\nAnswer: 7, -0.1, -1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 374*s**3 - 1874*s**2 - 5216*s + 56.\nAnswer: 2*(s - 7)*(s + 2)*(187*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 21 = b, -44*r + 50*r = b + 26 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*k**2 - 114*k**2 - 113*k**2 - 111*k**2 - 113*k**2 + 576*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 6\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40395, -40339, -40219, -40011, -39691?\nAnswer: -39235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*q = -35, 2*o + 2*o + 4*q - 28 = 0. Suppose -8*m - 44 = -19*m. Suppose 5*d = -0*b - 5*b + 90, -m*d + 45 = -5*b. Solve -2*g + o = d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/(-238) + (-226)\/3842. Factor -8\/7*c**3 + 15\/7*c**2 + b*c**4 + 8\/7*c - 16\/7.\nAnswer: (c - 4)**2*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h - 1. Let x(b) = b**2 + 2*b - 4. Let z(g) = 3*g**2 + 6*g - 11. Let p(y) = -17*x(y) + 6*z(y). Let d be p(-2). What are the prime factors of k(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.53 + -0.53. Let y = 20 - 32. Let j be 2\/(-6)*y\/16. What is the third biggest value in -0.3, j, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 11678 = 611*h - 3983 + 5659 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 41*j - 476. Give y(50).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1615.\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*j + 324*j = -13294 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -385\/3 - -2558\/15. Which is smaller: h or 43?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 12*s**2 - 19*s**2 - 7*s**2.\nAnswer: -14*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 11. Let g be z\/3*(-1)\/(-2). Suppose g = 4*v + 4*f - 340, 6*v - 3*v + 5*f = 255. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**2 + 172*j + 168 = 0. Calculate j.\nAnswer: -42, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32808 = -13*j + 5*j. Let p = j - 2433. List the prime factors of p.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from xos?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y - 5098 - 1568. Does 101 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 56, 174, 398, 764?\n\"Answer: 6*n**3 - n**2 + 9*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 2*u**2 - 2*u + 7. Let f(m) = m**3 + 17*m - 9. Determine 2*f(r) - 9*q(r).\nAnswer: 2*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4328, 4399, 4472, 4547, 4624, 4703, 4784?\nAnswer: 4867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, r: 2, t: 5, c: 1, w: 3, b: 1}. Give prob of picking 1 t and 3 l.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 357*g + 32 + 4935*g.\nAnswer: 5292*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -405*x - 1541. Let l be n(-4). Solve 66 = 13*w + l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116189238509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1123698212 + -1123698213.060000066. Let c = -1.06 - d. Round c to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, z: 2, w: 1, b: 1, f: 6}. Give prob of picking 1 b, 2 x, and 1 f.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513 a factor of 424464585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 84128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 10:36 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46312731 plus 361?\nAnswer: 46313092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4. Suppose 4*j = -h - 2*h - 17, 3*j + 29 = h. Let w = j + 8. Solve -r + w - 2 = z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65839716 times 3\nAnswer: 197519148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 4*a - 6*a)*(3*a + 3 + 0 - 2).\nAnswer: -39*a**2 - 13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g = -3*l - 27*g + 10436, l = -g + 3480. Let w = l + -403. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*144\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 0*b + 0 + 3*b**2 - 41\/24*b**4 + 1\/2*b**3. Does 18 divide s(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**5 - 296*a**4 - 2027*a**2?\nAnswer: 240*a**2 - 7104*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 3:43 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 21*m - 2. Let n(q) = 19585185*q - 19585185*q + 14*q**2. Give j(n(u)).\nAnswer: 294*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-6 - 6)) + (5 + 3 - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y**2 + 388*y - 191. What is k(48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.15 from 68.54711593.\nAnswer: 68.39711593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 12. Suppose -4*p + 2*a = -3*a - 10, 4*p + 4*a - 28 = 0. Calculate the highest common factor of p and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/12 - 3\/9. Suppose f*k + 10 = 5*k. Let c(z) = -3 - z + 4 - 2 - k. Determine c(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.3 - -6. Let w = -3.7 + g. Let x be (3\/(-2))\/(192\/32). Which is the third smallest value? (a) -0.3 (b) x (c) -14 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -520\/5601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/1309 + (0 - 6\/(-33)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*u**4 - d**3*u**2 + 33*d**2*u**4 - 2*u**4 - 6*u**2 wrt u?\nAnswer: 48*d**3*u + 792*d**2*u - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -1, 1 in decreasing order.\nAnswer: 1, -1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 5:02 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4170.136 rounded to the nearest integer?\nAnswer: -4170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 341471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46027 is divided by 46022.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*l + 86, 23 = 2*l - 5*y - 99. Let m = l + -45. Calculate the remainder when 23 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + m - 2*m)*(3*m - 2*m - 3*m)*(1 - 2 + 3 + (-3 - 3 + 8)*(2 - 3 - 3))*(m - 2 + 2).\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-66)\/231 - 46\/(-14). Let g(u) = 10*u**2 - 24*u - 5. Let q be g(w). Let j(h) = -h**2 + 13*h + 5. Give j(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 707 = -4*v - 341. Let x = -467\/2 - v. Calculate the common denominator of 15\/(-2)*(-38)\/24 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 52*w - 48*w = -2, 0 = -4*k + 4*w. Sort 2\/13, 0.1, 184, k, 3 in increasing order.\nAnswer: k, 0.1, 2\/13, 3, 184","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-270)*(7722\/988)\/99*-19?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 5, -21, -69, -145, -255, -405, -601?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/804086 and -11.\nAnswer: 804086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3524*k**3*o + 8*k**3 + 47343*o wrt k.\nAnswer: 10572*k**2*o + 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11400 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 199? (a) -1\/5 (b) -1\/3 (c) -2\/15 (d) 1\/4 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60656744?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 15 (b) 2 (c) 1 (d) 67 (e) -217 (f) 2\/3 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 20*r**2 + 149*r - 203. What is l(-9)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + 2 + 975\/13 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4 + 84*p**3 - 109409*p**2 - 1324056*p + 1433380 = 0. Calculate p.\nAnswer: -370, -13, 1, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*s + 2. Suppose 4*t - 15 = s. Factor 3*y**4 - 2 - t*y**2 - 3*y**4 - 4*y**3 + 6*y - 2*y**5 + 6*y**4.\nAnswer: -2*(y - 1)**4*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 2*m - 4. Let i be c(4). Suppose b - 25 + 0 = -5*n, n = 4. Let u(q) = q - 1. Let s be u(3). Solve -2*h = s*w + 4, -i*h = -b*w + 2*w + 29 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -589*t**4 - 596504*t**2 - 1326151875 + 218054*t**2 - 36583500*t - 664*t**3 - 1076*t**3 + 292*t**4 + 294*t**4 = 0. What is t?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z = 105*z + 147*z + 1290 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*y = -53*y - 1031 + 59647. List the prime factors of y.\nAnswer: 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-3 - 1) - (110 + -107)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 163*f**2 - 68*f**2 - 85*f**2. Let l(i) = -4*i + i + i. Calculate l(u(t)).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 2:32 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 5*o**2 - 5*o + 2. Let y be a(4). Let m(w) = -w + 2. Let d(x) = 4 - 10 + 5 - 9 + 6*x. Let v(c) = -2*d(c) - 11*m(c). What is v(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 26\/5 of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.22 - -15.5. Let n = 0.32 - a. Let q = -2.9731 - n. What is q rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 5, -0.0149?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-20)*5*44 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/323705?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/11)*u)**(-6\/13)\/(u*u**(-17)*u\/(((u\/(u**(-20)*u))\/u)\/u)) assuming u is positive.\nAnswer: u**(357\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -61*r**2 - r + 1. Let u be z(1). Let w = -185\/3 - u. Which is the nearest to -1? (a) w (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.34 + 0.24. Let s be ((-6)\/(-39))\/((-8)\/(-130)). Let v = -0.7 - -0.2. Which is the closest to -2\/3? (a) l (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 49 = -12*n. Let o(c) = n*c + 3*c**2 + 0*c - 9*c + 2*c. Let s(g) = 27*g**2. Calculate s(o(b)).\nAnswer: 243*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8064 and 48843.\nAnswer: 43763328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**5\/40 + 109*y**3\/3 - 99. Let x(p) be the third derivative of h(p). Let r(n) = 133*n. Determine r(x(t)).\nAnswer: 399*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or -1.63394?\nAnswer: -1.63394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1027796 or 1027814?\nAnswer: 1027796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 3.098?\nAnswer: 0.6196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (980\/(-168) + 4*(-20)\/(-16))\/((-40)\/132)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**3*k**(-9))**(-1\/9)*(k**(-8\/5)*k**11)**(-41) assuming k is positive.\nAnswer: k**(-17318\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5082)*2 - (sqrt(126)\/sqrt(3) + sqrt(42))*2)\/((sqrt(54) - (sqrt(6534) + (sqrt(6534) - (sqrt(6534) - sqrt(6534)*-3))))\/sqrt(9)))**2*3.\nAnswer: 6804\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 757769 and 1004?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/9 + 14*p**3 - 198*p**2 - 726*p.\nAnswer: -2*p*(p - 33)**2*(p + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1714157 rounded to four decimal places?\nAnswer: -0.1714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cajk when four letters picked without replacement from afckjjjjjkjcc?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*q**3*r + 1169*q**3 + 7*q**2*r - q**2 + 2*q*r - 823*q + 743*r wrt q?\nAnswer: 324*q*r + 7014*q + 14*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*t - 10. Let b(m) = -16*m**t + 29*m**2 - 21*m**2. Let k(o) = 36*o + 45. Let w(u) = 5*u + 6. Let q(r) = -2*k(r) + 15*w(r). What is b(q(d))?\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - l - 3*l = 10, -30 = -i + 4*l. Let f be (5*(-6)\/12)\/(i\/(-8)). Solve 0*y + u + 3 = -f*y, 2*y + 4*u + 18 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, -189, -1, -4, -28 in decreasing order.\nAnswer: 2, -1, -4, -28, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -19*m - 2. Let u be i(-1). Let j = -18 + u. Put -0.01, 3, j in decreasing order.\nAnswer: 3, -0.01, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**4)**(-47) assuming l is positive.\nAnswer: l**94","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**4\/4 - 3*o**3 - 6*o**2 - 8*o + 4. Let q be b(-8). Solve -3*l = -0*y - 2*y + 4, 0 = -3*l - 3*y - q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -108\/5 + 3\/5*h**5 + 141\/5*h**3 + 39\/5*h**4 - 144\/5*h + 69\/5*h**2 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -3*f**4\/4 - 6*f**3 - 48. Let j(a) = 0. What is a?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 905*684\nAnswer: 619020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102254311 to the power of 1\/3, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.4, 1\/4, 4\/7, -20?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 22 - 86 = 0. Let z = m - -60. Suppose -w = 3*w - z. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4. Suppose 9*n - 11*n = -4. Solve n*l + 6 - 2 = t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*-2)\/sqrt(6) + sqrt(1700) + 3.\nAnswer: 3 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 37404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.2 - -9. Let l = -39 + 67. Which is bigger: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 165541 * 5.\nAnswer: 827705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 - 10*k + 15. List the prime factors of v(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/120 and -32\/315?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883 is divided by 81?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 341e225 + 4?\nAnswer: 341e229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 - 4*a + 99. What is u(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - -3 - (-1326)\/(-272). Let w = -36.7 - -37. Let v = -0.05 - 0.25. Which is the closest to w? (a) 0 (b) y (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 640 and 2432.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 33 = 4*t, t + 8 = -4*z + 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 143873 times -5\nAnswer: -719365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124 - 112. What is the remainder when 58 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*a - 126*a. Let p(w) be the third derivative of 250\/3*w**3 + 25\/6*w**4 + 34*w**2 + 0 + 1\/12*w**5 + a*w. Factor p(b).\nAnswer: 5*(b + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 - l**5 + 0*l**3 + (0*l**4 + 2*l**4 + 0*l**4)*(3 - l - 3) - 3*l**5 + 4*l**5 - 2*l**5 - 8 + 8 + 19*l**5 + (l**4 - 8*l**4 + 2*l**4)*(l - 2 + 2).\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23948)\/(-113753) + 413\/114.\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 28*q**2 + 24. Suppose 12*l + 30*l - 1008 = 0. Let v(b) = 0*b**2 - b**2 + 0 - 1. Let n(c) = l*v(c) + j(c). Factor n(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o. Let j(z) = z**2 + z. Let x(h) = -j(h) + 3*q(h). Let w be x(3). Which is smaller: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 5*x**2 + 2*x - 8. Let t(g) = -g**3 - 1. Let a(o) = -m(o) + 3*t(o). Let d be 30\/2*(-2)\/6. List the prime factors of a(d).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -352 + 336. Which is the closest to x? (a) 0.5 (b) -3 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20742532 to the nearest integer?\nAnswer: 4554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11920 divided by 3?\nAnswer: -11920\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 115d + -32?\nAnswer: 112b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3634 is divided by 81.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y**3 + 2*y**2 + 2. Let u = -308 - -398. Let j(i) be the second derivative of -31*i**5\/4 - 15*i**4\/4 - 45*i**2\/2 + 4*i. Calculate u*s(q) + 4*j(q).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 29*x**2 - 54*x + 59. Give m(-27).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1910530 to the nearest 10000.\nAnswer: 1910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21401671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**6\/15 + k**5\/10 - 11*k. Factor h(o).\nAnswer: 2*o**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1591 = 6. Suppose i = 4*k - 3. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, v: 2, f: 2, s: 1, l: 1, a: 2}. What is prob of picking 1 l and 2 a?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 17) + 39 + -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2 + 4 = 0, 0 = 2*x + l + 170. Let q be 1\/(-4) + (-1449)\/x. Find the common denominator of -35\/6 and (-1)\/((-8)\/2)*q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68937?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28165869 to the nearest integer?\nAnswer: 5307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9283551 and 4812?\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -9. Suppose v = 3*h - j - 28, -39 = -h - 2*v. Let i = 104 - h. Calculate the greatest common divisor of 50 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 3:52 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**4\/4 + j**3\/6 - j**2\/2 - j. Suppose i - 14 = -f, -3*f + 4*i - 5 = -33. What is the remainder when p(-3) is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241163?\nAnswer: 13, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1267\nAnswer: -2534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 2610\/(-2601))*21374\/6. Let z = -1113\/2 - -321653\/578. Let l = z - i. What is the common denominator of -28\/33 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 270 and 1101.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1\/6 (b) -0.5 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 12*p - 8. Let b be z(-11). Let l be 48\/(-9)*(-45)\/12. Find the third derivative of -l*y**b - 3*y + 5*y - 3*y**2 - 2*y wrt y.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from oycocjyuucoyofc?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y**3 - 5*y**2 + 3*y - 14. Let o(z) = z**2 - z. Let w(k) = 3*o(k) + u(k). Differentiate w(g) wrt g.\nAnswer: -21*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 + 9*q**3 + q**3 + 8*q**3 - 23*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 12*s**4 - 3*s + 4 + 2*s + 10*s**4 in the form l + d*s + v*s**4 + m*s**3 + i*s**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Let b = -1.6 + -0.4. Let u = h + b. What is the smallest value in 1, -3\/2, u?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 66.08 and 11971.\nAnswer: 791043.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -22, -3 in ascending order.\nAnswer: -22, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1158*f - 2. Let n be o(-3). Let y = n + 20783\/6. Calculate the common denominator of 7\/6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x. Let d be 16\/32 - -1*(-1)\/2. Let m(k) = 6 + 6*k - 6 + 2*k + d. What is m(i(y))?\nAnswer: 64*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 877.67 rounded to the nearest ten?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.828 - 0.048. Let v = w + 0.22. Suppose -24 = -s - 5*n, -5*n = 4*s - 3*n - 6. Which is the third biggest value? (a) 0.3 (b) v (c) 3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2. Let l(f) be the second derivative of 5*f**4\/12 + 3*f**2\/2 + 18*f. Let o(n) = 16*n**2 + 10. Let d(p) = -10*l(p) + 3*o(p). What is i(d(h))?\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-266)\/3 + 0 - 0. Let z = 161 - 73. Let o = q + z. Which is the third smallest value? (a) o (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 - 0.1. Let l be (-2 + 7\/3)*(15 - 39). What is the nearest to 1\/4 in s, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66632335 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394392.\nAnswer: 2, 3, 16433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.5 (b) 1\/5 (c) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11)*f**(-23)*f*f)\/(f*f**14*f*f**(3\/19)) assuming f is positive.\nAnswer: f**(-915\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 5:18 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 4:55 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -12*x + 45. What is s(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370584 is divided by 56?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4711 and 1296871?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 369496425 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -507*z**2\/4 + 117*z\/2 - 27\/4.\nAnswer: -3*(13*z - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**4\/3 + 70*m**3 - 2713*m**2\/3 - 2020*m - 3136\/3 = 0.\nAnswer: -1, 16, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1\/11 (b) 91421 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 11*u + 31 + 11 - 204*u**3 + 203*u**3 as n*u**2 + s + f*u + p*u**3 and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133084492?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = 4*j - 377. Let g = 74 - j. Let i be 12\/(-6)*(-30)\/4. What is the greatest common divisor of g and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 + 33*i**2 + 20*i - 26. Let k be h(17). Suppose g + k = -5*x, 4*g - 3*x = 7*g + 15. Let 3\/2*r**3 + 3\/2*r - 3*r**2 + g = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**2*p**3 - 131*g**2*p**2 - 24192*g*n*p**3 + 34*g*n*p**2 - g*n*p + 5*p**2 wrt p?\nAnswer: 12*g**2 - 145152*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.91 - -7. Let f = i + 0.74. What is f rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g + 3. Let q(v) = -v**3 + 2*v**2 + 2*v + 4. Let n be q(3). Suppose y - 2 = -n. Let z be c(y). Solve -z*h + 0*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -12*o + 24. Let z(x) = 14*x. What are the prime factors of z(o)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*a - 34 + 3, -5*a - 35 = -s. Solve -3 = i, -2*c + s*i = 26*i - 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21690456 divided by 2.\nAnswer: 10845228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31420737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a kilogram in grams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614.93 rounded to the nearest integer?\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 359689013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3422500*a**2 - 13937900*a + 14190289.\nAnswer: (1850*a - 3767)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 339.07 to the nearest integer.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9291 = -50*z - 7*z. Calculate the remainder when z is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1523 or 15948?\nAnswer: 15948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138 - 75. Suppose 7*i - y = 4*i. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-2))\/(3\/(-4)). What is the third derivative of -2*t**2 + t**6 + t**2 - t**s wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/21726 and 73\/12?\nAnswer: 43452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -1699.\nAnswer: -10\/1699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 887 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2137053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2053310 is divided by 323?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 132.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r**3 - 42*r**3 - 3*r**3 + (r**3 + 3 - 3)*(1 - 1 - 2) + 3386*r**2 + 38*r**3 - 3386*r**2 to the form n + c*r**2 + p*r**3 + i*r and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -243*g**2 - 729*g - 2. Let j be i(-3). What is the closest to j in 43\/10, -0.5, 2\/7, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 3:37 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 359376.3 kilograms in micrograms?\nAnswer: 359376300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2, -290.7?\nAnswer: -290.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22\/9 (b) 0 (c) 2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 33*g - 112. Let o be m(-36). Let k(v) = 6*v + 15. Let j be k(o). Suppose -2*q = -3*q + 4. Sort j, q, 2, -3 in increasing order.\nAnswer: j, -3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3129656?\nAnswer: 2, 23, 73, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 96156301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160005 is divided by 39927?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 20 + 24 = 4*s, 0 = -2*r - 4. Suppose 4*m = 3*m - 3*w + 12, -w = -4. Solve m = 3*k - s*u - 15, 6*u - 3*u = 2*k - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11506679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 - 2*k**3 + 4*k**3 + 15*k**2 - 3*k**3 as q*k + a + o*k**3 + h*k**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -300a?\nAnswer: 3005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 165750165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-130)*((2 - 1) + 1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3719*t**3 - 2*t**2 + 79*t + 4*t**2 - 3717*t**3 - 6*t**4 in the form x + s*t**3 + k*t**2 + r*t + z*t**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 4*i + c, -3*c = 3*i - c + 22. Let l be ((-680)\/i)\/((-1)\/600). Round l to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a - 218702 = -43*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-26))\/5)\/((3\/(-6))\/(3\/21))?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 7*p + 2. Let v be t(7). Suppose -202 = -3*o - o + v*x, 254 = 5*o - 4*x. Suppose -3*u - o = -4*b, 5*b - u - 57 = -0*b. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 18*j - 321. Calculate g(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2 + 2 + m. Let r(v) be the third derivative of 0*v**3 + 0*v**4 + 0 - 2\/15*v**5 + 0*v - 27*v**2. What is r(j(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*x**2 + 365*x**2 - 145*x**2.\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xqxqxxqxqqxxxqqqxqxq.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 63?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-54))\/(30\/27).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -71926, -143850, -215774?\n\"Answer: -71924*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -190*g - 945. Determine m(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 177055 - 16554. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58285, 116983, 176095, 235621, 295561, 355915, 416683?\nAnswer: 477865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*f**5 + 268945*f**4 + f**2 + 39548711*f?\nAnswer: 1800*f**2 + 6454680*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - -7)\/((-3)\/501) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/3*(-20)\/50\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 9*n + 2. Let a(w) = 5*w**2 - 30*w - 7. Calculate 2*a(d) + 7*b(d).\nAnswer: 3*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 12*z + 12. Calculate the remainder when u(15) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2451*x**3 - 5*x**2 + 35*x - 27. List the prime factors of f(3).\nAnswer: 2, 3, 5, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3042686615?\nAnswer: 5, 608537323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 159.7 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 6. Calculate f(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 6074716 and 5.983.\nAnswer: 6074721.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65081.\nAnswer: 151, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/5*5\/3. Let d(i) be the second derivative of -i**4\/6 - 2*i**3\/3 - 3*i**2\/2 + 7*i. Let l be d(-2). Which is the nearest to r? (a) 4 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 13*p = 30. Suppose -p*t - 2*w = 22794, 5*t - w + 9592 + 28411 = 0. Round t to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/15, 0.3, 527 in ascending order.\nAnswer: 0.3, 11\/15, 527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 17*f**2 + 85*f + 12*f**2 - 84*f - 2*f**3 in the form n + l*f**3 + o*f + y*f**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131.36 + -131.360007713. Round n to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 1, b: 1, y: 2, w: 1, x: 1}. What is prob of picking 1 w and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**5 + 10*k**4 - 730*k**3 - 40*k**2 + 2125*k + 1430 = 0. Calculate k.\nAnswer: -13, -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5\/3*x + 2 - 1\/3*x**2 = 0. Calculate x.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*k + 20549 = 20496 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17236 + 17241. What is the closest to 5 in r, 3, -4, 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f + 3*f)*(50*f**3 + 62*f**3 + 439*f**3 - 2).\nAnswer: 1102*f**4 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from wxwix.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**2 - 4471002*t - 1665821573667 = 0.\nAnswer: -745167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -11*w - 9. Let r(j) = 5*j + 4. What is 5*r(l) + 2*v(l)?\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 9:10 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2044*g - 11510*g**3 + 5318*g**3 - 1 - 297*g**3 wrt g?\nAnswer: -38934*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = x - 5. Let p = -4.7 - -5. Let q = -0.2 + p. Which is the closest to x? (a) 3 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**2 - 6*w - 25. Let z be u(-3). Let k = -24 + z. Solve -k*o - 16 = -6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 13.04. What is the biggest value in b, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48\/7*k**4 + 2\/7*k**5 + 832\/7*k**2 + 304\/7*k**3 + 512\/7 + 1056\/7*k = 0 for k.\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 9:47 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-21)*-15)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 6:18 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299904 and 8832?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 365884494 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 267289*w**2\/7 + 122012*w\/7 + 13924\/7 = 0. Calculate w.\nAnswer: -118\/517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1 = 1. Let k be 14\/6 + n\/(-3). What is the third derivative of r**5 - 25*r**3 + 25*r**3 - 2*r**k wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -9, -1, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*v**2 - 14*v**2 + 21*v**2 - 32*v**2 to x*v**2 + t + f*v and give x.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 8 = -2*v. Find w, given that -17*w**3 - 3*w**5 + 15*w**4 - 58*w - 12*w**v + 82*w - w**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5393697 divided by -6353\nAnswer: -849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(686) + 4*sqrt(686))\/(sqrt(252)*-2).\nAnswer: -35*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 333 - 201. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128867 is divided by 260?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -6410\/78401 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49000 by 5.\nAnswer: -9800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 37 - q - 3*q - q - 6. List the prime factors of t(-13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5856*4247\nAnswer: -24870432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 + -1.9. Let r = -21 + 18. Let a(k) = -k**3 - 3*k**2 - 3*k + 4. Let h be a(r). Is h < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-78))\/((-6)\/9)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -12330103112?\nAnswer: -12330103110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1a5 (base 15) to base 4\nAnswer: 11330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.187 * -0.07002\nAnswer: -0.01309374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 14. Let z = l + 1. Let w(r) = 4*r + 5. Let o(x) = x + 1. Suppose 5*b = 25, y + 3*y + 2*b - 14 = 0. Determine y*w(i) + z*o(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 504 - 504.1. Which is smaller: 48\/13 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -471134.7963312?\nAnswer: -471134.8963312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/15)\/(((-21)\/(-9))\/7).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a - 8*a - 3466 + 3547 as c*a + t and give t.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1755*c - 5617 wrt c.\nAnswer: -1755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 1968409*z**5\/2 + 21649693*z**4 - 344595035*z**3\/2 - 192412988*z**2 + 549626*z - 392 = 0. What is z?\nAnswer: -28, -1, 2\/1403, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + r**3)*(-4*r + 3*r - 5*r) - 2*r**2 - 3*r**4 + 57*r**4 - 33*r**4 + 8*r in the form w*r + a + j*r**3 + z*r**4 + c*r**2 and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 317\nAnswer: -1\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10012001 - -1?\nAnswer: -10012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b = -22*b - 18 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 10*s - 4. Let y = 14 + -22. Let g be d(y). Calculate the greatest common divisor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 - -2. Which is the smallest value? (a) k (b) 0.02 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44631245 (base 7) to base 6\nAnswer: 215003515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 8*b + 58. What is d(13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 3*g**2 + 0*g**2 + (12*g - 12*g - 28*g)*(0 + 2*g + 0).\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 9*d - 20*d + 11*d + 20*d**2 + d.\nAnswer: 20*d**2 - 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 394290798 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -9*j + 20. Let i be g(-8). Let o = 359 + i. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21941 - -526667\/24. Calculate the common denominator of -127\/6 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5947, -0.2, -1, -4 in increasing order.\nAnswer: -4, -1, -0.2, 5947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 467016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**4\/24 - 5*g**3\/6 - g**2. Let w be y(-3). Let t = 12 + -12. Which is smaller: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 61*n - 1. Let u(a) = -3552*a + 72. Give -60*c(y) - u(y).\nAnswer: -108*y - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t = 40*t - 6. Suppose -t*q + 5 = 1, -2*q - 4831 = -k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s - 12*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.026 in -4, 0.1, -130, -81\/2, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-300 + 300 - 20*v**2)*(7*v + 40 + 2*v**2 - 3*v**2 - 37).\nAnswer: 20*v**4 - 140*v**3 - 60*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2729248 micrometers to centimeters.\nAnswer: 0.00002729248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5}. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - -4*sqrt(306)) + sqrt(34))\/sqrt(2) + 2.\nAnswer: 2 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2232*x**2 + 217*x. Let b(i) = 31*i**2 - 3*i. Calculate -217*b(q) - 3*o(q).\nAnswer: -31*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r - 47. Let g be (-896)\/(-144) + -6 + 2\/27*-3. Calculate q(g).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 3.26468 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -813 (b) 1\/4 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*b**4 - 5*b**5 + 57*b**3 + 3870*b**2 - 22*b**3 - 3850*b**2.\nAnswer: -5*b**2*(b - 4)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 + 7 - 5 - f**2 - 79*f as p + x*f + l*f**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from wpvwpvvvprfuvuppv.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = 2*k + 7860. Let i be (6 - -3)\/45 - k\/(-70). Which is bigger: -7 or i?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/4150798 and -5\/459.\nAnswer: 1905216282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) -1\/5 (c) 0.7 (d) 71 (e) -16 (f) -0.3 (g) -0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u + 3 + 5*u + 0. What is the units digit of x(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*1\/2*(-203)\/406.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 3*w + w)*(w**3 + 0*w**3 + w**3) + 35*w + 222*w**4 - 61*w + 27*w.\nAnswer: 236*w**4 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3271 or -3272?\nAnswer: -3272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 8*q - 1. What is l(9)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*t**2 - 8*t + 18*t - 3*t**3 - 7*t to the form q + j*t + d*t**2 + o*t**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 5:17 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 7*k**2 - 9*k + 10. Let z(i) = -2 - 4*i + 69 + 11*i + 60. Let f be z(-17). What is l(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, o: 1, a: 1, b: 4, g: 8}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -0*p - 5*p. Is 2 a factor of p - (0\/1 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 30. Suppose 0*t - n*t + 44 = 0. Suppose -t = -7*b - 4. Does b = -3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-10)*28\/(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*2586.\nAnswer: -1293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 28?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19197910 bigger than 211176994\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5 + 26*o**4 - 48*o**3 - 784*o**2 + 2720*o - 2400 = 0. Calculate o.\nAnswer: -10, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/sqrt(20) - sqrt(17) - sqrt(17) - ((sqrt(68) - ((-2*sqrt(68) - sqrt(68)) + sqrt(68) + sqrt(68)))\/sqrt(4) + sqrt(17))**2.\nAnswer: -153 - 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0.1, -2, -36, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3738771.\nAnswer: 3, 59, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34727, -69448, -104169, -138890, -173611, -208332?\n\"Answer: -34721*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/11 - 195\/(-44). Is 3 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8*s**2 - 6*s - 8. Is 15 a factor of m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143714.\nAnswer: 2, 181, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -20*d**3 + 24. Let r(z) = 4*z**3 - 5. Suppose 2*t + 30 = 8*t. Give t*u(f) + 24*r(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -12*w**3 + 76*w**2 - 524*w + 476. Let n(v) = -14*v**3 + 77*v**2 - 523*v + 478. Let i(u) = -9*a(u) + 8*n(u). Factor i(k).\nAnswer: -4*(k - 5)*(k - 1)*(k + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g + 2016 = 73*g. What is the highest common divisor of 21 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31299342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.05 (b) 6.27 (c) 7\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, 6, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 7:24 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-1) - ((-51)\/(-136))\/((-5)\/40)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 k when three letters picked without replacement from {t: 2, h: 1, k: 3, n: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 - 0.07. Let b = -8 - -9. What is the closest to 0.2 in l, 5, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + 24 = 4*a + 10*y, 4*y = 4*a - 48 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2567 + -2565. Solve 3*i + 4*c = 0, -7*i = -4*i - o*c - 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = 5*t, 2*z - 3*t - 2*t = -9. Suppose 4*o - 2*x = 36, o + x - 37 = -2*o. Let r = o + z. Which is the closest to r? (a) -2 (b) -0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -v + n + 151, -458 = -3*v - n. Let m = 156 - v. Sort -2, 5, 2, m in decreasing order.\nAnswer: 5, m, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187427579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 2*b - 4. Let i be j(6). Suppose -4*l + 86 = 5*p, -p + 0*l + i = -2*l. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 0*d + 4*d)*(-5*d + 41*d**2 + 5*d - 281*d**2) to the form n + x*d**3 + m*d**2 + l*d and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 + 813*r + r**2 - 813*r - 40*r**2 to the form p + v*r + g*r**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, v: 1, z: 2, q: 7}. What is prob of sequence zvp?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 5*k**2 + k + 2. Let v be x(5). Let y be (104\/(-28) - -4)*v. What is the highest common divisor of y and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 338.665592 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32265 and 2499462.\nAnswer: 37491930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 17860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -10*h**3\/3 + 2*h**2 + 9. Find the second derivative of g(c) wrt c.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.49 - 0.89. What is the closest to -1\/4 in 2, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-4)*(-12)\/(-26).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 222632591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdogw. Give prob of picking 1 g, 1 o, and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237059 is divided by 94.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 23*u**2 + 2*u - 1. What is the tens digit of x(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9423320 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4617 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*s + 4*s. Let q(t) = -t**3 - 7*t**2 - 7*t - 106. Let k be q(-8). Solve 4*l = -s*i - k, i - 3*l + 5 - 23 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 0 - 1\/90*z**6 + 0*z**5 - 3*z**2 + 1\/18*z**4 - 1\/9*z**3 + 1\/315*z**7 + 0*z. What is d in y(d) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 27*i**2\/2 + 62411*i\/3 - 20560 = 0.\nAnswer: -1542, 80\/81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(2673) - sqrt(2673)) + sqrt(2673))*-3 + sqrt(2673) + sqrt(2673)*-1*-5)\/((sqrt(24)*1)\/sqrt(8) - (sqrt(363) + (2*sqrt(363) - sqrt(363)))).\nAnswer: -9*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 5:18 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-1 + 2)*-1. Suppose -4*f + 2*f = -8. What is the second derivative of x + 3*x**b - f*x**3 + 2*x + 0*x wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 3\/2 (c) 10 (d) 532\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -111*u**3 - 38*u**2 - 6*u - 12. Let h(i) = -111*i**3 - 32*i**2 - 5*i - 10. What is -5*a(b) + 6*h(b)?\nAnswer: -111*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9182, 9228, 9288, 9368, 9474, 9612, 9788, 10008?\n\"Answer: p**3 + p**2 + 36*p + 9144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43222 divided by -17.\nAnswer: 43222\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -909661*w - 398781*w + 308053*w.\nAnswer: -1000389*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*p + 5, -4*k + 2*p - 3 - 11 = 0. What is the tens digit of (36708\/(-9))\/k - (-10)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, k: 7, z: 1}. Give prob of sequence oooo.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6411029.41 rounded to the nearest one thousand?\nAnswer: 6411000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 14*l**2 - 8*l - 11. Let c be o(13). Suppose -p + 0 + c = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -20 + 43 - 22. Let n(o) = 22*o + 55. Let z(m) = 66*d(m) - 2*n(m). Differentiate z(u) with respect to u.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17694 + 30457. What are the prime factors of b?\nAnswer: 12763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-72)\/2331*56\/(-48).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/11? (a) -1\/2 (b) 1 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 1251*b**2 - 509160*b + 1226. Calculate t(407).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98*h*p**3 + 2*h*p - 2946*h - 869626*p**3 + p**2 - 1249*p wrt p?\nAnswer: -588*h - 5217756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -31, -2, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uujususojujuuojsusu?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, y: 2, i: 4, o: 1}. Give prob of sequence fiyi.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3569, -7145, -10717, -14285, -17849, -21409?\n\"Answer: 2*i**2 - 3582*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*c + 33 = 2*o, -2*c + 6 = 0. Suppose o*z = 3*z + 798. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-4) + 42\/(-8). Let n = 11 + u. Suppose n*o + 21 = 81. 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: What is -1805100 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**3 + 35*m**2 + 11*m - 2. Let r be k(8). What is the highest common divisor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from ilipxxxxixblxii.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5229 and 8526?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/(1\/(-2)). Suppose 9*b - 144 = n*b. What is the remainder when 95 is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 3:39 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -65*q - 5337. Give i(-82).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16416*s**5 + 50379*s**2.\nAnswer: -984960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 148\/6 - (-4)\/(-6). Let m = w + -3. Let q be 4\/6 + 91\/m. Sort 4, 0, q.\nAnswer: 0, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 14*x - 152. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/17*y**2 - 2\/17*y**3 + 6\/17*y.\nAnswer: -2*y*(y - 1)*(y + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1200\/36*30\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40465134 divided by -181458\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2878.138 rounded to the nearest ten?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*g - 29 = 0, 4*g + 11 - 23 = -2*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -246158 - -81231973\/330. What is the common denominator of i and -49\/33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*j - 2*o, 52*o = -2*j + 49*o - 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088318361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 5*n + 2. Let k(x) be the second derivative of x**4\/12 - 7*x**3\/3 + 29*x**2\/2 - 15*x. What is the smallest common multiple of k(13) and y(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -334, -750, -1166, -1582?\nAnswer: -1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2048 and 10752.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2 - w + 1 - 5. Suppose -4*p + 6 = -2*p. Let d(s) be the third derivative of s**4\/12 + s**3\/3 - s**2. Give p*q(t) + 2*d(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1133 + -3?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 + -0.02. Let l = 0.21 + -0.05. Let h = x - l. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 8:34 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 3*s**2 + s**4)*(-10 + 3 + 15 - 3*s) - s + s + 2*s**5.\nAnswer: -s**5 + 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 15 = 0, s + 3*g - 52 = 438. Is s a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11178 divided by -69\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmgmfmlfmbffmg. What is prob of picking 1 m, 1 b, 1 f, and 1 l?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 3. Let v be i(7). Let q = -2 - -8. Let w = v - q. Calculate the remainder when 11 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -n - 4. Let j = -8 - n. Solve 4*i - 6 = 2*c, 5 = -2*i + j*c + 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2300110211 (base 5) to base 13.\nAnswer: 108c17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 344624 (base 9) to base 15\nAnswer: 4142a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -309.73 - -310. Let v = g - -0.13. What is the smallest value in 4, v, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/7 - (-33)\/77*-1*1. Factor 0*j**4 + 4\/3*j**3 + b*j**2 - 2\/3*j**5 + 0 - 2\/3*j.\nAnswer: -2*j*(j - 1)**2*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994909549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*(3*(-1*sqrt(297) + sqrt(33)))\/(5*(sqrt(3) + sqrt(30)\/(sqrt(40)\/sqrt(4)))).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3*g + 2*t = -50, -3*t = 2*g - 13. Let c = -14 - -35. Calculate the remainder when c is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1165664 - 16?\nAnswer: -1166013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86)\/130 + 14\/70 + (-52 - -52).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 + -1.334.\nAnswer: 106.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69351.72 months to millennia.\nAnswer: 5.77931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/5907 and -73\/9.\nAnswer: 17721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**8\/112 + 3*v**2. Determine q so that s(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 6 + (-8 + 2 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 587741 and 42?\nAnswer: 3526446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4862.92859 - -4863. Let y = g + -0.071. Round y to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onosnogoosso. What is prob of picking 1 o and 1 g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*v - 90, 0 = 4*b + 4*v - 23 - 49. What is the remainder when 502 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7604\/693 - (-2)\/9. Let s = i - 120\/11. Suppose -3*o + 2*o - 19 = 4*u, 12 = -3*o - 3*u. Is s <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 788, 3413, 7872, 14159, 22268?\nAnswer: 32193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 2*j - 51. List the prime factors of f(-18).\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125222406 by 1.\nAnswer: -125222406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24249180 and 5417370.\nAnswer: 509232780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21918 and 3562.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**7\/2100 + g**6\/600 - g**5\/600 - g**4\/120 + g**2 + 72. Determine o so that h(o) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1078, 2141, 3208, 4279, 5354?\n\"Answer: 2*i**2 + 1057*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165167.5 millilitres in litres?\nAnswer: 165.1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*c**2 + 48*c**2 - 126*c**2 + 2.\nAnswer: -18*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 - (-178 + (11 - 10)). Calculate the greatest common factor of o and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-33) - (-57)\/11. Solve l*i - w = -15, 5*i + 12 = 2*w + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 23232*k + 23236.\nAnswer: -4*(k - 1)*(k + 5809)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -8. Suppose 4*z = 5*q - 56, 2*z = 2*q + z - 23. Let v be 194\/8 - 3\/q. What is the highest common factor of a and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4\/5 - 2*t**3 + 84*t**2\/5 + 72*t - 432\/5 = 0 for t.\nAnswer: -6, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l. Let t(n) = 1544649*n. Give o(t(w)).\nAnswer: -3089298*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 5) to base 7.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/3937 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.136746ng to kilograms.\nAnswer: 0.000000000007136746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.76 (b) -28918 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.3266 decades to months.\nAnswer: 10839.192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 10 (b) -0.9 (c) -13 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/(-144))\/(2\/18). Sort -7, d, -8, -4.\nAnswer: -8, -7, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k - 5 - 21 + 5. Let u(s) = s**2 - 6*s - 25. Calculate the remainder when a(-25) is divided by u(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 8*h - 30. Let s = h - 4. What is the common denominator of -49\/9 and s\/5*170\/8?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2156715 * -7.\nAnswer: -1.5097005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013904765?\nAnswer: 3, 5, 22531217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1391420 - -424620.\nAnswer: -966800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1875\/(-175) - (-13 + 2). What is the third biggest value in 3, -0.07, y, -2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.13. Let x = i - -0.004. Round x to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -275 + 281. What is the hundreds digit of ((-3)\/x + 1145\/(-30))*-12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p = 0, p = -3*f - 21. Let t(a) = 3*a**2 - a + 8. Let y(j) = -3*j**2 + j - 7. Let r(w) = f*y(w) - 6*t(w). Is r(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 608.8 + -609. What is the closest to 3 in -1\/2, -2\/11, q, 36?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503 = -7*j - 50. Let f = -138 - -332. Let a = f + j. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 197 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2. Let h(j) = j - 2. Let v = 3 - -1. Let q be h(v). Let b(w) = w + q*w - 5*w + 4*w. What is r(b(o))?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 3*k**2 + k - 2. Calculate n(6).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -14, 2, 22, 46, 74?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*h - 23*h + 25*h)*(-h - 4 + 4) + (h**2 + 4*h**2 - 3*h**2)*(3 - 5 + 3).\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, 434, -5.\nAnswer: -5, -1, 12, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10133333 (base 6) in base 7?\nAnswer: 2325261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 2. Let l be u(0). Suppose 75 = l*v + v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0211502 rounded to 4 dps?\nAnswer: 0.0212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4317278 and 3164.\nAnswer: 8634556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 5 - 9. Suppose -l = 1, g*l - 4 = -2*n - 14. Let p(m) = -3339*m**2 + 24. Let w be p(n). What is w rounded to the nearest 1000?\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 353*f**4 - 3 + 1 + 354*f**4 - f + f**3 to k*f**4 + u + q*f**3 + z*f + g*f**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129 + 127. Let c be x\/10*(-2 - -1). Do c and -0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3 + 24420564*i**2 - 48841140*i = 0. What is i?\nAnswer: -8140190, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.383173511 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 756, 8, 5\/46?\nAnswer: 5\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-72 - 242 - 256 - 2*a).\nAnswer: -2*a - 570","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - ((sqrt(1377) + -3 + sqrt(1377))*-1 - sqrt(1377))) + sqrt(1377) + (sqrt(1377)*-4*5 - sqrt(1377)))**2*-6*5.\nAnswer: -10575630 - 25920*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**8\/6720 - l**7\/1680 + l**6\/1440 + l**3\/2 + l. Let q(w) be the second derivative of f(w). Factor q(z).\nAnswer: z**2*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 42, 111, 208, 333, 486?\n\"Answer: 14*w**2 - w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-3 + 2 + -2)) + 3 - (-264 + 232).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 1\/2*c**2 + 3*c + 3. Let w be n(-4). Which is greater: w or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.312 * -102808\nAnswer: 32076.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q. Let k(d) = -d**2 - d. Give 2*k(t) - 2*o(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -25 (c) -1\/6 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 838 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -213 - -375. What is the greatest common divisor of g and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - f = -6*f + 210, 5*y + 3*f = 487. What is the smallest common multiple of 1 and y?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4290 at least 4292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6)\/(4 - 34\/6)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 559*r + 2223. Give i(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -35*q**3 + 6*q**2 - 17*q. Let k(a) = -6*a**3 + a**2 - 3*a. Let t(m) = 34*k(m) - 6*o(m). What is the third derivative of t(b) wrt b?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 5*g**2 + 2*g + 6. Suppose -6 = -3*q - 18. What is the smallest common multiple of 4 and a(q)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -93 in 2\/13, -237, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -659 - -595. Which is smaller: -2\/25 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - k + 1 + 3*k)*(11 - 1 - 3).\nAnswer: 14*k - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - n - 296, -4*p + 11*n - 10*n - 244 = 0. Does -44 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**9\/(o\/o**(1\/2))*(o\/(o**(-10)*o))\/o*o**4)**(2\/53))**13 assuming o is positive.\nAnswer: o**(559\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134.8 + -14.7. Let r = -120 + i. Which is the smallest value? (a) 5 (b) r (c) -0.171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 86, 44, 2, -40?\n\"Answer: -42*a + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 4*g + 9. Give x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2145 divide 82633980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11184 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) + (sqrt(140) + 4*(2*sqrt(140) - sqrt(140)) - sqrt(140) - sqrt(140)))\/sqrt(10)*1)\/(((sqrt(64)\/sqrt(4))\/sqrt(4))\/(sqrt(18)*-4)).\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*s - 35, 2*l + 3*s + 22 = 51. Solve 0*r - 2*r = -l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2223 (base 4) to base 2.\nAnswer: -10101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -13\/4 (b) 3\/2 (c) 35 (d) -0.0056\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*n = -130*n - 8. Let x(a) = a**2 + 4*a - 3. What is x(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**7\/6 - 23*x**4\/12 - 21*x. Find the third derivative of d(s) wrt s.\nAnswer: -420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 10. Suppose -a + 3 = -2*g. Suppose -i + 2 + g = 0. Solve -5 = -5*t - 0*t, 0 = i*u - 4*t + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11230122 + -2?\nAnswer: -11230130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o**3 + o. Let t be v(-1). Let b(g) be the first derivative of -t - 4*g + 0*g - 2*g**5 + 0 + g**5. Differentiate b(x) wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15551, -15402, -15137, -14756?\n\"Answer: 58*o**2 - 25*o - 15584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2248?\nAnswer: -1\/2248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225944730?\nAnswer: 2, 3, 5, 11, 241, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162 and 22?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-8)*c**0)\/(c**8\/(c**4\/c*c)))\/((c*(c\/(c\/c**0))\/c*c*c)**(-6\/5)*(c*c\/((c\/(c*(c\/c**(4\/3))\/c*c*c))\/c))\/(c**1\/c)) assuming c is positive.\nAnswer: c**(-184\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-360)*600\/(-315)*-21.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(3) + -3*sqrt(3)) + sqrt(7) + sqrt(21)\/sqrt(3)*-1.\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 3*k + 3*k)*(-35 + 35 + 5*k)*(-2*k + 2*k - k).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665201683.\nAnswer: 665201683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 21. Let v be (-2)\/(-4) - 12\/g. Let c be 78\/507 - (-6)\/(-39). Solve 2*t = x, 3*x - 4*t = -c + v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258919325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-6)*8277\/(-187612)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 501 + -3?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -106, -157?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -501368583*o**3 + 2*o**2 - o + 468865?\nAnswer: -3008211498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1579.704 - 1580. What is the nearest to 1 in n, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494907313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 8:40 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00077366 rounded to 5 dps?\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8667 + -43334\/5. Let v = -0.24 - 0.06. Sort v, -37, a.\nAnswer: -37, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2\/8 - 1453*g\/4 + 2111209\/8 = 0?\nAnswer: 1453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 1)*(-2)\/(-2). Suppose -6*s + s + 10 = i. Factor q**s - 4*q**2 - 3*q**2 + 2 - 4*q.\nAnswer: -2*(q + 1)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 124*m**2 + 384*m + 952. Determine i(5).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 d, and 1 t when three letters picked without replacement from {c: 1, n: 2, d: 1, t: 1, u: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/9, 25, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 284 - 185. Let u = 103 - b. Solve -o - u*t + 9 + 7 = 0, -o - 3*t + 12 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {s: 1, g: 2, t: 1, v: 2, w: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5199 by -21746.\nAnswer: -5199\/21746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.8023 less than 436998?\nAnswer: 436989.1977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + h - r - 28 = 0, -6*r + 25 - 13 = -3*h + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 10, 7, 402, 5 in decreasing order.\nAnswer: 402, 10, 7, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*x + 3*x**2 - 4*x**2 + 228*x - 404*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13236, -52947, -119134, -211797, -330936?\nAnswer: -476551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 147688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 250.6342 micrograms?\nAnswer: 250634.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1\/(-16)*(-264)\/22.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pak when three letters picked without replacement from {n: 3, p: 2, a: 4, o: 4, v: 1, k: 1}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*t - 4, -f - 4*f - 4*t = 76. Is ((-18)\/27)\/((-4)\/f)*-541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1598 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 8 - 8)*(-1 + 3 - 3).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*v - 8*v. Let r(w) = w**3 - 12*w**2 + w - 6. Let b be r(v). Solve -3*o = -b*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 1 = -m, 4 = -6*p + 9*p - 4*m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-4) + 12\/16. Which is the third biggest value? (a) 2\/7 (b) -12 (c) u (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10615.05 * 0.2.\nAnswer: -2123.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -3 (b) 2 (c) 0.3 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*m + 31485763 + 19200139 = 70*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**2 - 23198*b - 142362.\nAnswer: -4*b - 23198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 7. Suppose q - 2 = -k, 5*q - t*k + 8*k = 9. Suppose 0 = -7*x + 8*x - 2*x + c, -x = 8*c. Sort q, x, -30 in descending order.\nAnswer: q, x, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 39*x - 8. Suppose -72 - 61 = 23*u - 41. What is t(u)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - 34*q**2 - 19. Give a(17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from {k: 1, w: 1, d: 2, i: 5, v: 3, h: 1}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4560, 4503, 4446, 4389?\nAnswer: 4332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 9. Let n be i(-4). Let c = -19 + 19. Let h be (2 - 1) + (1 - c). Solve 3*f = -n + h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23079 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 507883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -j - 3*a - a, 2*a + 50 = j. Calculate the remainder when j is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*h - 3*h**2 - 1 + 2*h**2 - 41*h + 21*h.\nAnswer: -h**2 - 51*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008546924 rounded to six decimal places?\nAnswer: 0.000855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 0.5 (c) -0.08 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 739*d**3\/3 - 1210. Let m(v) = -2*v. Calculate w(m(o)).\nAnswer: 2956*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/12874 and -16\/287.\nAnswer: 90118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 bigger than -1209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.046 - 0.034. Sort -3, w, 2, 4\/7.\nAnswer: -3, w, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/30)\/(18\/15))\/(180\/18000).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147460 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.114, 4, -0.01, -14 in descending order.\nAnswer: 4, 0.1, -0.01, -0.114, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.21 (c) 334009\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.711811281 rounded to 3 decimal places?\nAnswer: -1.712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246391 is divided by 16411?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*h**3 - 8 - 65*h**3 + h**2 + 5*h**4 + 9 as b*h + p*h**4 + l*h**2 + o + z*h**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28715580*t**3 - 66159733.\nAnswer: 86146740*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + t**2 + t + 1. Let j be v(-1). Suppose 4*o = -j*u, -2*u + o = -4*u + 6. Calculate the least common multiple of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38153126.\nAnswer: 2, 11, 31, 43, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Calculate the smallest common multiple of 2*20\/15*3 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 18 = s. Let h(b) = s*b - 4*b - 7*b. Let z(g) = -4*g. Calculate h(z(t)).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 + 0 = 0. Let x = 44 - 37. Let d be (32\/(-56))\/((-1)\/x). Solve -15 = -5*n + d*i, -l*n - 2*i - 7 = 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) - (sqrt(484)\/sqrt(44))**2.\nAnswer: -11 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**3 + j. Let l be c(1). Suppose -l*q - 78 - 98 = 0. Let i = q + 60. Calculate the lowest common multiple of 22 and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4311 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1385225 is divided by 1675.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -55, -177, -367, -625, -951, -1345?\n\"Answer: -34*m**2 - 20*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 923, 1047, 1171?\n\"Answer: 124*z + 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 (base 13) in base 5?\nAnswer: -4421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12400 less than or equal to 12398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*a = 0. Let c be (2 - 0) + a - -2. Let b(p) = p + 2*p - c*p. Let k(z) = 2*z**2. Give k(b(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4982 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + k + 1. Let s(n) = 128*n**3 - 126*n**2 + 5*n + 5. Let x(d) = 5*i(d) - s(d). Find the third derivative of x(t) wrt t.\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*n + 9 = -111*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m - 6*m + 2*m)*(-6*m + m + 3*m) + 2*m**2 + 0*m**2 + 0*m**2)*(194*m - 194*m - 51*m**2).\nAnswer: -306*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85097 + -33340. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1916.5281 months to millennia.\nAnswer: 0.159710675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, -12\/365, -0.079, 0.5, 5, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -3, 1\/3, -1\/590 in decreasing order.\nAnswer: 38, 1\/3, -1\/590, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 162.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2 + 7 = -4*a, -4 = 3*i + a. Let u be (-8)\/(-32)*(i - -9). Suppose -64 = -u*m + 30. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15\/7*r + 0 + 3\/7*r**2 = 0. What is r?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5))\/((-306)\/425)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-22 + 10)\/(-1)*(3 + 0 - 4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 4. Let p(u) = -u**2 + 5*u - 3. Let w be p(5). Let x be -1 + 0 + (w - -7). Give n(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18, 28, 40, 54, 70, 88?\n\"Answer: n**2 + 7*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3861*c + 3664*c + 4610*c - 347*c + 3417*c to n*c + v and give n.\nAnswer: 15205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2459724*t**3 + 5*t**2 + 347388*t wrt t?\nAnswer: 14758344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2005 times 0.41\nAnswer: -822.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 4\/(-6))\/(33\/4554). Solve 12*m = r*m - 68 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 790 = -1134. Suppose -2*b + 5*t + n = 2*b, 471 = 4*b + 5*t. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 2*p + 1. Suppose -2*j + 2 = 4. Calculate i(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -9\/182306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*j - j + 15, -3*j + 15 = 3*y. Suppose 6*k = 11*k + y. Which is greater: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*a = 47*a + 903 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25163359.238 less than 27?\nAnswer: -25163332.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/24 - g**3\/4 + 9*g**2\/2 + 177*g + 1. Find r such that p(r) = 0.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55 - -75) + 121 + -121.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/59 or -1\/3?\nAnswer: -14\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14268390, -14268396, -14268400, -14268402?\nAnswer: -14268402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(((-13692)\/126)\/(-163))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-30)*p)\/p)\/p)**(-6\/17))**(-16) assuming p is positive.\nAnswer: p**(-2976\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 15 = 4*l - 2*n, -21 = -4*l + 3*n. Suppose -25 = -5*k - 2*t + 8, l*t - 32 = -5*k. Calculate the remainder when 20 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4}. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2.3688 times -98\nAnswer: 232.1424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - z + 35 = 0, -3*b = b + z - 27. Let x = -3 + b. What is the remainder when 14 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -179 * 0.3.\nAnswer: -53.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x - x)*(65*x**4 - 30*x**4 - 29*x**4) + 2*x**5 + 0*x + 0*x.\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*d**2*o**2 - 4*d**2 + 5*d + 2*o**3 wrt o.\nAnswer: -14*d**2*o + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, w: 1, v: 1}. What is prob of picking 1 w, 1 v, and 2 q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-10) + 156\/(-12) + 14)\/((-96)\/(-600)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19316 divided by 4829.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.316 times -0.1?\nAnswer: -1.6316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-8) + -55)*9\/(-27)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w - 11. Let o(n) = 4*n + 23. Let i(b) = 13*f(b) + 6*o(b). Let t(c) = -c - 4. Let s be (-10)\/(-25) - (-13)\/5. Calculate s*i(k) - 4*t(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -14325 (base 15) to base 10\nAnswer: -64835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -307331 + 2*a**2 + 2*a**4 + 93*a + 307332 + 2*a**3 - 18*a as k*a**4 + i*a**3 + t*a + u + v*a**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-439 - -365) + 120 + 17.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**3 - 17058*t**2 + 294883*t wrt t?\nAnswer: -18*t - 34116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 + 61 + 164*n**3 - 59 - 44*n**4 - 163*n**3 - n to q + d*n**3 + r*n**2 + y*n + b*n**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2926 and 30668.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/7, 37, -1, -1247?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -310*h - 5574. Let j be m(-18). Let d = -11 - -11. Solve d = -z + j - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -565, -984, -1111, -742, 327, 2300, 5381, 9774?\n\"Answer: 34*n**3 - 58*n**2 - 483*n - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1544 is divided by 768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 312531 rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56 * -2.3.\nAnswer: -128.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 119. Let s(o) = -3*o - 52 - 104 - 57 - 75 - 65. Let v(l) = -4*s(l) - 11*u(l). Let w(z) = 2*z**2. Determine v(w(g)).\nAnswer: 2*g**2 + 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**2*n*r**3 - 389*i**2*n*r**2 + 1751*i**2*r**3 with respect to n.\nAnswer: -i**2*r**3 - 389*i**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*c - 3*c = -40, 0 = -c - 1. What is the remainder when 61 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3*m - 60, 4*g - m - 74 = -3*m. Calculate the remainder when 86 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m - 0 + 7. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*6\/(-9)*(-1 + -5). Solve 5*w - v = -33 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, w: 5, v: 3}. Give prob of picking 2 p.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**5 + 36128*u**4 - 5258553*u**3 + 186411938*u**2 + 388744052*u + 197037432 = 0.\nAnswer: -1, 74, 35982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2*6\/(-4)*2\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*p + 46*p = 5, 3*f + 5*p + 31 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13918351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-204)\/(-153)*4*(-2)\/24?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-10) - -4*(-3)\/(-60)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-5)*(-10)\/(-4). Suppose 2*b = 7 - 1, -v*d - b + 30 = 0. Calculate the common denominator of (d - -1)*10\/(-14) and -23\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 - 203*g**2 - 4*g + 8. Let d(w) = -6*w**2 + 5. Determine d(h) - f(h).\nAnswer: 3*h**3 + 197*h**2 + 4*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116*b**3*u**2 + 5*b**3*u - b**2*u + 2 wrt u.\nAnswer: -232*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from kkddddgkkk.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -329*i + 332*i + 6*h + 1773, h + 1188 = -2*i. Which is bigger: -0.17 or i?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**2 - 19*f + 15. Is k(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/2 (b) 4.4 (c) 139816\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2)\/(10\/30 + (-176)\/312)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/360714 and 6\/2999101?\nAnswer: 1421573874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.771331 - -5.67?\nAnswer: 6.441331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k + 107 + 57 = -44 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2347*l**2. Let b(n) = -229*n**2. Calculate b(o(w)).\nAnswer: -1261425661*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 969120236?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 40\/16 + 10 - 3\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11479212 + 12751264. Suppose 18440000 = 4*z - 2*o, 5790476 = -4*z - 2*o + y. What is z rounded to the nearest one hundred thousand?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 143*x**2 - 1450*x - 29. What is j(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m**2 - 7*m + 4. Let u(h) = -h**2 + h - 1. Let c be ((-2 - 2)\/8)\/((-2)\/16). Let x be (2\/c)\/(8\/(-96)). Calculate x*u(q) - b(q).\nAnswer: -q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3534)\/76)\/(-93)*(-4)\/51?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/7? (a) 0.1 (b) 19\/5 (c) -0.2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 217.7 - 218. Which is the third biggest value? (a) 7 (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*(-1 + sqrt(192)*-2 - (sqrt(192) + -1 + 0))*-2)**2.\nAnswer: 172800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 4*k**2 - 9*k + 17. What is o(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 23 - 1 = 0. Suppose 0 = f*j - 9*j + 27. Suppose 8 + 1 = -j*s. Put 3, -5, -4, s in descending order.\nAnswer: 3, s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**3 + 2*o**3 - 1 - 5*o**3)*(-518 - 1465 - 1823).\nAnswer: -3806*o**3 + 3806","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23, -19, -149, -415, -865, -1547, -2509?\n\"Answer: -8*z**3 + 4*z**2 + 2*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 4380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3570773, -3570771, -3570767, -3570761, -3570753, -3570743?\n\"Answer: d**2 - d - 3570773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n - 9. Let j = n - 1. Let y(o) = -2*o**2 + o - 1. What is y(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = -3*a + 1 - 13, 2 = -2*z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1285 - -1300. Solve -i*x + 8 + 37 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**3 - 24*c**2 - 8*c - 42. Let h be i(-8). Solve 52 + 58 = -h*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2624\/984)\/(174\/78 - 1).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 34 - 31 = 0. Suppose n = -4, -4*l = -3*n - 34 + 10. Suppose 5*m - b = -4*k, -m = -l*k - 6*m + 6. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60103046 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*l - 64 + 40 - 15*l wrt l.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017802 rounded to six dps?\nAnswer: 0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -145, -1199, -4057, -9619, -18785, -32455, -51529, -76907?\n\"Answer: -150*n**3 - 2*n**2 + 2*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 = z, 17 = 7*z - 2*z - 2*c. Suppose -18*f + 4328 = -13*f - 3*r, 5*f + z*r = 4320. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*sqrt(1573) + -1*(0 + sqrt(1573)))**2*4 + ((-1*sqrt(1573)*2 + 5)*2)**2.\nAnswer: -968*sqrt(13) + 31564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 252105.\nAnswer: 1\/252105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2252, 2243, 2220, 2177, 2108, 2007, 1868?\n\"Answer: -z**3 - z**2 + z + 2253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u. Let n(l) be the first derivative of l**4\/12 - 3*l**2\/2 + 8. Let c(o) be the second derivative of n(o). What is c(d(b))?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -37. Is 36 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*i**2 - 205*i**2 + 25832*i - 25832*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:00 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2455?\nAnswer: 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.752 times 55?\nAnswer: 41.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 217 times 212.3\nAnswer: 46069.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2878*v - 2922*v = 728 + 328 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s - 1 - 2*s**2 - s - 7*s to the form h + a*s**2 + b*s and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 4499725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -121, -124, -131, -142, -157, -176, -199?\n\"Answer: -2*w**2 + 3*w - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2416*t**5 - 2*t**4 + 120*t**2 + 66 wrt t.\nAnswer: -144960*t**2 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + j**2 - j**2)*(7772*j + 2135*j - 1100*j) + j**4 - 3*j**4 + j**4.\nAnswer: -8808*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -17*r**2 - 2*r - 1. Let j be k(-2). Let o be (j - -3)*2\/(-2). Let p = -36 + o. Solve 4*n + 2*b = -p, n - 2*b - 4 = -3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -19.1\nAnswer: -76.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/3 - 2614*x + 7844\/3 = 0.\nAnswer: -3922, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-12)*9)\/(17\/(-2312)*-17). Solve -n*v = -20*v + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 12*w + 13*w + 771*w**2 - 2 + 6*w**3 - 7*w**3 in the form p*w**3 + x*w**2 + a + d*w and give x.\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 10 = -6*c, 2*i + 2 = 3*c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(117)*1)**2 + 3 - (-2 + -3 + sqrt(52)*-2).\nAnswer: 4*sqrt(13) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6*6)\/((-2)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2371888.\nAnswer: 2, 148243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 12*q**2 + 13*q - 7. Let p(z) = 2*z - 6. Let s be p(4). Let b(o) = -o**3 - o**2 + o. Let n(r) = s*b(r) - t(r). Is n(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1325766404?\nAnswer: 2, 157, 2111093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 5:18 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28b7 - -31803?\nAnswer: 344ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 6, 4, 45, -2, -169 in increasing order.\nAnswer: -169, -2, 4, 6, 35, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 7*g + 3. Let t be a(-6). Let d(l) = -l**2 - 3*l + 4. Calculate the remainder when 5 is divided by d(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12527\/4 - -3131. What is the second smallest value in 22, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + u - 24 + 1, -3*u = -9. Suppose 3*c = l + 10, -4*l = -5*c - 3 + 8. Let r(g) = -y*g**3 - 2*g - g + l*g**3 - 2 - 6*g + 5*g**2. Calculate r(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.32 and -1389.\nAnswer: 3222.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 0*b - 3*b)*(2*b**2 + 1 - 1) + (-10*b**2 + 10*b**2 + 12*b**2)*(-3*b + 5 - 5).\nAnswer: -34*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -23827576.\nAnswer: -23827576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*v - 25 = 125*v. Let i be v - ((-2)\/8 - 302\/8). Solve -3*x + 5*x + i = 5*c, x + 4 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Suppose -784*m + 774*m = 20. Let k(q) = -q**3 + 9*q + 1. Give m*k(x) + 18*u(x).\nAnswer: 2*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/((-2)\/(134\/(-3))). Let j = -108 + b. What is the remainder when 49 is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -0.5, 2\/235, -4509, -1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 3741?\nAnswer: 29928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 64 = 4*q. Calculate the greatest common divisor of 48 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 861 - 859.164. Let r = 0.036 - t. Let o = 1.6 + r. What is the closest to 0.1 in 4, o, -6\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3020.\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -5 (c) 0.4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 11:44 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by -3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1043316 rounded to four decimal places?\nAnswer: 0.1043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + i**4 + 4*i - 6*i + 2*i**4 + 0*i**3 to f*i**4 + k*i**3 + b*i**2 + c*i + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1225 and 1935832.\nAnswer: 1934607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*j + 8 = -22, 0 = 2*g + 5*j - 15. Suppose g = d - 0. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/5 - (-66)\/3 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4822 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 8*n + 9*n = -13, 5*p = -2*n - 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyy when three letters picked without replacement from {y: 4, t: 3, e: 13}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-1*sqrt(190) + sqrt(190)) - sqrt(190)) + (3*1*sqrt(190) - sqrt(190)))\/(5*-6*sqrt(40)*-2).\nAnswer: sqrt(19)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 13*r**2 - 8*r + 1. Determine j(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, 2, -2, -4 in decreasing order.\nAnswer: 135, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 29. Let k = -1 - q. What is the remainder when k is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 - 99d?\nAnswer: -9b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150122142 (base 6) to base 15.\nAnswer: 410908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2023660 (base 7) in base 10?\nAnswer: -241465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, i: 13}. Give prob of sequence iiq.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 618 + -1140?\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhvhvhhhhhh. Give prob of picking 3 h.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1 + 2*h - 1. Let c = -15 + 14. Let l(z) = z + 3. Let q(a) = 1. Let r(t) = c*l(t) + 3*q(t). Calculate r(i(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11696*h**2*p + 29235*h**2 + p**3 wrt p.\nAnswer: 11696*h**2 + 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by -28\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7301, -7365, -7471, -7619, -7809, -8041, -8315?\n\"Answer: -21*x**2 - x - 7279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4 = 2*h, -2*h - 284 = -3*y - 288 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14b (base 13) to base 2.\nAnswer: 11101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b547 (base 15) to base 10.\nAnswer: -88942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5690000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*n - 5473 = -157*n + 323 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 47b (base 15) to base 9\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*b + 2339 - 3299 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.36 + 0.06. Suppose k + 7 = -0*k + y, -2 = 2*k + 4*y. Let q be (-2)\/k - (-84)\/(-285). Which is the biggest value? (a) -1 (b) q (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 24. Calculate the least common multiple of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7134, 7206, 7278, 7350, 7422?\n\"Answer: 72*y + 7062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3778*c*g**2 - c*g + 4*c - 113*g + 1 wrt g?\nAnswer: 7556*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7097?\nAnswer: 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005382678 rounded to six decimal places?\nAnswer: 0.000538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = 0. Let r = 3.5 - 1.5. What is the second biggest value in -0.3, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-136)\/22 + ((-14274)\/61)\/(-39). Let v be -26 + (-3 - -6)\/3. Let s = 0.37 - -0.03. Which is the fourth biggest value? (a) s (b) v (c) 0.1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18316 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10412764 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/2498 and -59\/66.\nAnswer: 82434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12, 1, -5, -4, -6 in increasing order.\nAnswer: -6, -5, -4, -3, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (sqrt(88)\/(sqrt(32) - sqrt(8)) - (-2*sqrt(110) + sqrt(110))\/sqrt(10))**2 + (sqrt(99) - sqrt(99)*-2*6)\/(sqrt(1089) - -1*sqrt(1089))).\nAnswer: 65*sqrt(11)\/22 + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1761678 = 15*o + 24*o - 21*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -52. Suppose -54 = -4*p - 3*t + t, 3*p - 18 = 3*t. What is the remainder when c is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 4*f - 37. Does 10 divide m(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208785?\nAnswer: 3, 5, 31, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 2:56 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2311312 is divided by 55031?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -905.2823 to one dp.\nAnswer: -905.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 8:45 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 12:38 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 4*h - 5*k, 3*k = 5*h + 7*k + 82. Let o be 4\/h - (24\/(-27))\/(-2). Sort -2, o, -13 in decreasing order.\nAnswer: o, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -5*u + 0*u**2 + 6 - 1\/27*u**3 - 1\/27*u**4 - 1\/90*u**5. Let s(v) be the first derivative of n(v). Factor s(c).\nAnswer: -2*c*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 164797 (b) 2\/19 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4 + (-14)\/72\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012110 (base 3) to base 9.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*c*r**3 - 3*c*r**2 + 140*r**3 wrt c?\nAnswer: -4*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from fxigm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 1540.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 396137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 15*n + 8. Let o be x(-8). Suppose 0 = o*f - 29*f + 260. What is the greatest common factor of 620 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 7*n**2 + 89*n - 310. Determine d(12).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 7 = -4*d. Suppose -d*f = -5*f + 9318. Is f\/(-6)*(1 - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((192\/6)\/(-8)))\/((-3)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -11206 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**4\/4 + 5*u**3\/3 - 6*u - 7. What is g(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 581906 and 246191.\nAnswer: 6400966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 4 + -1 - 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/10 (b) -10 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 + 16211578*i - 16211578*i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -173.7, -5\/4, -2, -13.5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10*x**2 + 5846*x - 23414. Calculate r(4).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 9*x - 16. Let c be u(-11). Is (c\/(-4))\/(6\/(-40)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -0.0602, -1\/4.\nAnswer: -1\/4, -0.0602, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739075 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-165)\/4)\/(351\/(-936)). What is the greatest common factor of t and 1375?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 - 3*i + 3*i)*(-2 - 1 + 1)*(1149 - 2099 - 1064)*(-5*i + 2*i + 4*i) in the form m*i**2 + w*i + n*i**3 + o and give n.\nAnswer: -8056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 7*p**2 + p - 7. Let a(g) = 9*g**3 - 2*g + 1. Let q be a(1). Suppose 2*z - 6*z = -q. Suppose 3*m - 14 = m - z*d, 5*m - 35 = -4*d. Give b(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2\/3*u**2 - 280\/3*u - 9800\/3 = 0.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**19*(u\/(u\/(u*u**15))*u)\/u)\/(u\/(u\/u**(-2\/37))*u*u*u\/(u*u**(-1\/24)*u)*u))**(3\/25) assuming u is positive.\nAnswer: u**(5863\/1480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -153, 4\/3, 3, -1\/3, 12, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1, 10, -0.24, 30110?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1 + 4*b + b**2 + 2 - 15*b - 2. Let a be c(11). Calculate the common denominator of -1 + a + (3 - -15) and 31\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42150914*f**3*x**2 - 2*f**2*x**2 + 19007509*f*x**2 wrt f.\nAnswer: -252905484*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**7\/42 - 49*z**5\/20 - 17*z**4\/4 + z**2\/2 + 56*z + 2. What is the third derivative of y(v) wrt v?\nAnswer: 60*v**2 - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 11:56 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 13. Let i(r) = r - 6. Let w(p) = 5*i(p) - 2*k(p). What is the tens digit of w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2288 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + -55 - (-6 - -8 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-14))\/(-3 - (-6 - -2)). Suppose 0 + 4\/7*j**2 - k*j - 2\/7*j**3 = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -37*p**6\/15 - p**4\/6 + 19*p**2\/2 - 120*p. What is the third derivative of u(i) wrt i?\nAnswer: -1776*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12806869 + -0.08542?\nAnswer: 12806868.91458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 289046 (base 11) in base 5?\nAnswer: 103420014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2973330 to the nearest integer?\nAnswer: 1724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5979127?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -431417\/12078 + 643\/18. Sort -6\/5, f, -2\/17, -1 in descending order.\nAnswer: f, -2\/17, -1, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558827 is divided by 258?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, f: 6, r: 3, c: 2, t: 3}. Give prob of picking 2 j.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6967701 greater than 6967704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 483 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.6538852 rounded to 1 decimal place?\nAnswer: 53.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2*n + 54 = -2*j, -2*j - 11*n = -6*n - 157 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.4 + 202.4. Let u = 192.8 - o. Which is the nearest to u? (a) 2\/11 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*h**3*o - 3*h**3*v**2 - 17*h**2*o*v + 2*h*o*v**2 + 164*o*v**2 wrt v.\nAnswer: -6*h**3 + 4*h*o + 328*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3925187*g + 12347778 with respect to g.\nAnswer: 3925187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 + -0.06. Let m = 0.2 - i. Which is the nearest to -0.2? (a) 1\/3 (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 64\/5855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260836 is divided by 137.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 122338883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y**2 + 851*y - 173. Calculate the remainder when z(-95) is divided by 54.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*p + 1. Let u be (-21)\/(-27) + p - -1. Suppose -2 = 4*t + 2. Which is greater: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70 - 10*x**3 - 49 + 152 wrt x?\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwhwhhhwwwwwww. Give prob of sequence wwwh.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 5:56 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 + 992*x**2 + 122010*x - 248004 = 0 for x.\nAnswer: -249, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/21 - (-7)\/15)*5. Suppose -4*v = 4*r - 102519996, 0 = 2*v - 3*v - x*r + 25629996. What is v rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 13833\nAnswer: -4\/13833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 68624101.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49708 or -8422?\nAnswer: -8422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 1033*t - 3624. What is the tens digit of o(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71527.45 to the nearest one hundred.\nAnswer: -71500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -190 not equal to 705.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 + f + 10. Let o be d(5). Let z = -102 + o. Calculate the least common multiple of 11 and z.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -134?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 648, 1814, 3744, 6438?\n\"Answer: 382*s**2 + 20*s + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + 22 + -24 + -7 - -5?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-4 - 1) + 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -264, -2345, -7910, -18705, -36476, -62969, -99930?\nAnswer: -149105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*h + 64 = -164. Solve -5*q + 3*l - 21 + 3 = 0, -h*l - 5 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -15 + 19. Let f(l) = 0*l - 6 + 6 + i*l. Let n(w) = 3*w. Determine f(n(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4500 - 560 = -23*h. What is the hundreds digit of (-123)\/((-11)\/(h\/(-56)) + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (654*d - 654*d + 2*d**3)*(2*d + 1 - 1) - 4*d**4 - 4*d**4 - 3*d**4.\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 48 + 14 = 2*v, 1 = v. Let t = -13 + z. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*t + 8. Let q be (2\/(-3))\/((-2)\/(-6)). Let o = q + t. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 8:12 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**3 - 2*o**2 + 2. Let j(g) = -g**3 + g**2 - 1. Calculate 4*j(m) + 2*q(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2 - 28. Let d(i) be the first derivative of -i**4\/4 - 2*i**3 - i**2\/2 - 4*i + 4. Let p be d(h). Solve -11 = -s - 5*q, -2*s + p - 4 = -2*q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by -2677.\nAnswer: 79\/2677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 26*u**2 + 22*u - 16. Let t be y(14). Let l be ((-1)\/2)\/(1\/t). Round l to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 38*b. Is 16 a factor of m(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o - 14. Let v = -68 - -76. Let h be i(v). Suppose 53*s - 56*s = -h. Calculate the highest common divisor of s and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - 26. Let u be (-36)\/a*10 + (-1 - 0). What is the greatest common factor of 121 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 822.941 weeks to seconds.\nAnswer: 497714716.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 248 + -740\/3. Which is the nearest to -1? (a) 0.02 (b) -136 (c) z (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 19. Let p be o(17). Suppose p*a = 4 - 0. Let y be (a\/5)\/(4\/28900). What is y rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 615.1421 rounded to the nearest 10?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 3*d - 12, d - 2 = 3*m - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/48*(-616)\/70*(-15)\/(-165).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 9 + 1 = 0. Let k(g) = -g - t + 12 + 0. Determine k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q + 7*q + 98*q**2 + 11*q - 39 - 118*q**2 + 95.\nAnswer: -4*(q - 2)*(5*q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + 0*d**2 - d**2)*(-26 - 16*d + 8 + 30).\nAnswer: -48*d**3 + 36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1422 + 1490. Calculate the highest common factor of 289 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 + 6*x**2 + 7*x + 3. Let p be y(-3). Which is smaller: -47 or p?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1392*k**4 - 13*k**2 - 35*k.\nAnswer: 33408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -29. Suppose 5 = -32*n + 33*n. Which is the nearest to 1\/3? (a) n (b) q (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.401145mg in grams?\nAnswer: 0.007401145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18494.54 kilograms to micrograms.\nAnswer: 18494540000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 282573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4665, 9281, 13897, 18513?\n\"Answer: 4616*g + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00325014861 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**3 + 2*p**2 + 75*p + 10. Let h(z) = 23*z**3 + 10*z**2 + 300*z + 44. What is 2*h(n) - 9*s(n)?\nAnswer: -8*n**3 + 2*n**2 - 75*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 3*g - 5. Let x = -245 + 251. Give v(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 316611981*s**6 - 818405517*s**2.\nAnswer: 37993437720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(2205) - (0 + 1*sqrt(2205) + sqrt(2205) + sqrt(2205))) + sqrt(2205)) + -3*(sqrt(2205) + -1)*-1)*-4)**2.\nAnswer: 4032*sqrt(5) + 141264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 612273826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1981, -1965, -1939, -1903, -1857, -1801?\n\"Answer: 5*b**2 + b - 1987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -474, -450, -428, -408, -390?\n\"Answer: -o**2 + 27*o - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 480 in 8, 1\/6, -9\/7, -0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.3 times -240?\nAnswer: 2952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4107545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -8\/3, -2, 38 in increasing order.\nAnswer: -8\/3, -2, -0.5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 + 1.795. Let o = l + 0.005. Is o < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 3*h + 6*h + (7*h + 6 - 6)*(-2 - 1 + 1) as n + w*h and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 580177 - 580183.00002. Let n = 6 + i. Round n to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - l**2 - 3*l - 9. Let x(f) = f**3 - 10*f**2 + 15*f + 4. Let n be x(8). Is m(n) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**5 + 17*y**4 - 55*y**3 + 32*y**2. Let h(c) = 2*c**5 + 18*c**4 - 54*c**3 + 32*c**2. Let k(a) = 7*h(a) - 6*x(a). Find q such that k(q) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1 - 4 - 16*r**3 + 15*r**3 + 4*r**2 + 7*r. Let v be f(5). Let u be 4\/6 + 15\/(-63). Which is the second biggest value? (a) u (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(12\/5)*c*c**35\/c*c*(c\/c**(-6\/5))\/c*c*(c*c*(c*c*c**(2\/107)*c)\/c*c)\/c*c*c*c)**22 assuming c is positive.\nAnswer: c**(515746\/535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923310790.\nAnswer: 2, 5, 7649, 12071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 11*a**2 - 12*a + 13. Let y be u(12). Let j be -1*2 + (y - 11). Put 2, -2, j in increasing order.\nAnswer: -2, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -25 (b) 4 (c) -5 (d) -112\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58774 + -37816. What is a rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -12\/19 (b) 2\/11 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*a**4*t**3 + 18*a**3*t**3 - 65*t**3 - t**2 wrt a.\nAnswer: -28*a**3*t**3 + 54*a**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3281, 6548, 9813, 13076, 16337, 19596?\n\"Answer: -h**2 + 3270*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 84\/11 in -8, -35, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - a**2 - 2*a - 1. Suppose -8 = 14*b - 10*b. Let j be x(b). Let h(k) = 11*k**2 - 29*k - 1. Is h(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - y**2 - y - 3. Let i be k(0). Which is the closest to 1? (a) 3 (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*s + 3*f, -3*s + 3 = 5*f - 2. Suppose q - 7 = r, s*q - r = 13 + 2. Suppose 3*z + 2*u = -z + 80, q*z - 5*u = 40. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t - 61*t = -3*t. Which is the nearest to t? (a) -25 (b) -3\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 7868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -6. Let i be -10*7\/(7\/2). Let p = i - -21. Sort 2, g, p.\nAnswer: g, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8055193 by -6.\nAnswer: -8055193\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404 (base 6) to base 2.\nAnswer: 10010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -9 + (-7 - -2) - (1 + -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 230187316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12081\/8 + 1513. Let m be 4\/10 - 4016\/10065. Let b = m - -34213\/8052. Calculate the common denominator of n and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6835836487 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45))**2 + sqrt(5))*-4*4 - (-4 + 1 + sqrt(320)).\nAnswer: -717 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9\/10 - -7\/5. Let n = 179 + -179. Let v = 8.3 + -8. Which is the closest to v? (a) 3 (b) z (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (378\/(-108))\/(28\/(-176))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 1, 8800 in decreasing order.\nAnswer: 8800, 1, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j + 4*f + 13 = 0, -4*f + 2 = -2*j. Let v = -4 + j. Let g(h) = -h**3 + h**2 + h + 7. Calculate the smallest common multiple of v and g(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**3 - 1171*x**2 + 434*x - 46806. Give d(234).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6*81\/(-9). Differentiate -9*s**y + 4*s**3 + 2*s**3 + 2 with respect to s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2. Let p(y) = -y**2. Suppose -3*u - a + 150 = 0, 0 = -4*a + 5*a + 3. Let l = 51 - u. Suppose 6*z - 25 - 17 = l. Calculate z*p(i) + 2*j(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c - 3*c)*(3 + 1 + 19)*(4 + 1 - 3)*(-c + 2*c - 3*c).\nAnswer: 92*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 8*m + 2*s + 74400000 = 0, 4*s = -5*m + 372000000. What is m rounded to the nearest one million?\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffcficfifcffffiic. Give prob of sequence icii.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 123*v + 3 - 8 - 121*v to the form t*v + f*v**2 + l and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31122 + 122?\nAnswer: -31000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11\/74 + -2\/111. Let j = 12 + -12.5. What is the closest to -0.1 in i, 2\/9, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-8))\/(57\/(-3040)). Solve 26*c = -14*c + y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -361719.488 + 361485.4880163. Let k = q - -234. What is k rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.39 + -1.49. Let g = f + 0.1. Let a = 6 + -5. What is the closest to 0 in a, -3, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 - 225*l**3 - 3120*l**2 - 8960*l + 61440.\nAnswer: -5*(l - 3)*(l + 16)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1319, 370, 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -7. Let h = -219.2 - -222.2. What is the closest to z in 0.1, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m**2 + m**2 - 4*m**2 + 2*m + m**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**4\/42 + 116*a**3\/21 + 3364*a**2\/7 + a + 93. Factor o(m).\nAnswer: 2*(m + 58)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 j when three letters picked without replacement from jjvvwfj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2868241?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Suppose -2*q + 3*k = z, 5*q - 5*k = 4*q - 8. Suppose -q*w + 17 = -w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 58 - 2 = 0. Calculate the highest common divisor of 164 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*18\/(-135)*1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and 2.1?\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -306 + 306. Solve -8 + b = -8*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 368 divided by 4\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -71. Suppose 0 = 3*u, 3*u - k = -4*h + 23. What is the remainder when h is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2977.1 + 3180. Let m = -203 + x. What is the smallest value in 1.1, m, -1\/2, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.17 and -14?\nAnswer: -30.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 14, -18, -72, -154, -270?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 11 = -1. Sort -3, -18, r in ascending order.\nAnswer: -18, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -367 + -27?\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j + 12. Let w(s) = -14*s - 35. Let m(z) = -17*q(z) - 6*w(z). Let u(p) = -p + 5. Suppose 51*b - 156 = -b. Give b*m(f) - 4*u(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3334261361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 55. Suppose 3*y = 5*v + 86 + 190, 3*y = -p*v + 297. Calculate the remainder when y is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7015 is divided by 60.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*g**2 + 60*g**2 + 62*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 19, 31, 43?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 263?\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8110*x**3 + 183*x**2 + 19*x - 3643373 wrt x?\nAnswer: -48660*x + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -3) + -3 + 5. Suppose m = -i*b - 3, 2*b - 1 = 3*m + 3*b. Solve l + l + 1 = q, -2*l + 5*q - 21 = m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -42?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 4:55 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000062035 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4632, 100 in ascending order.\nAnswer: -6, 100, 4632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*c + 34, -25*y - 5*c = -30*y + 50. Solve 3*w + 2*h = 10, h - y = -3*w - 3*h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 + h**2. Let p be a(-1). Suppose -4*v + 4*o + 76 = 0, -p*v - 5*o + 85 = 2*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6997657 is divided by 10382.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 10*r - 2. Solve p = r*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2563*w + 18048 + 16966 = -67506 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6528)\/(-1232))\/34)\/(-4*(-45)\/198)?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/5 and 24\/377.\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 406 - 66. Calculate the remainder when k is divided by 119.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/321 and 82\/63.\nAnswer: 6741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l + 138 = -41*l - 1734 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqcdppppa. What is prob of picking 1 c and 1 a?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from {j: 1, z: 1, o: 1, p: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -271\/21? (a) -4 (b) -1\/7 (c) -2\/5 (d) -1\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312*18.\nAnswer: 5616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 486 - 487. Let m(v) = -3*v**2. Give m(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130 + 135. Suppose 3*d - 8 = -4*w + 4*d, w - g*d - 2 = 0. Let b be (0 - w)*(-28)\/(-8). Sort b, -3, 2 in ascending order.\nAnswer: b, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgvfvgvvlgegl. What is prob of sequence el?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 42. Solve 2*p - 12 = -f*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*s - 3*s. Let c be (-25 + -3)*2\/s. Let v = c + 129. What is the greatest common divisor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -4*l - 50, -194*h + 16 = -196*h - 2*l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0042872 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -16025, -5 in descending order.\nAnswer: 0, -3, -5, -16025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(78) - (sqrt(78) - (sqrt(78) + sqrt(78)*2))*-2)\/(sqrt(42)\/(sqrt(847) - (3*sqrt(847) - sqrt(847)))).\nAnswer: 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 12:46 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**2 + 2*v**2 + v**2 + 3*v**2 - v**2 - 3*v**2 + (-3*v - v + 2*v)*(1 - 12*v + 8*v - 2) to l*v + r*v**2 + y and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o**2 + 2*o - 218. Give v(0).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1163759, 2327534, 3491309?\nAnswer: 4655084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4887 and 11584.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1239204, 1238972, 1238744, 1238520, 1238300?\n\"Answer: 2*c**2 - 238*c + 1239440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 693130936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b - 255?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p**2 - 2*p + 2. Suppose -20*y = -952 + 232. Calculate the remainder when y is divided by t(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3*(3 + 6). Sort 1, -4, v in ascending order.\nAnswer: -4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/2 + (-12 - 20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9*1\/((-2)\/2). Let p(j) = j**3 + 8*j**2 - 9*j + 2. Let w be p(v). Solve -5*a - 20 = 2*d + w*d, 0 = d + 5*a + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-3)\/((-6)\/4). Differentiate 3*y**4 + c*y**4 + 12 - 19 with respect to y.\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 1\/60*y**5 + 5\/24*y**4 - 1\/2*y**2 - 16*y + 4\/3*y**3 + 0. Let f(c) be the first derivative of p(c). Calculate f(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**2 - 2*g + 2*g)*(-2 + 1 + 2)*(-2*g - 3*g + 4*g)*(-4*g - 11*g - 4*g) to y + t*g**2 + h*g**3 + j*g**4 + w*g and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 322?\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**5 + 143*b**4 - 17*b**3 - 6403*b**2.\nAnswer: 120*b**2 + 3432*b - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154651 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icicccciiicici. Give prob of sequence ic.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (135\/(-105))\/(-39 + 26280\/672).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9106924 is divided by 472.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.513 - -0.113. Let u = o - 53. Round u to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6845 divided by -19.\nAnswer: -6845\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 11*x**2 + 3*x + 46. Let o be f(-11). Let v be (3 + -2)*1*-3. Sort -2, o, v.\nAnswer: v, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2946 + -4028.\nAnswer: -6974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3557 (base 9) to base 2\nAnswer: 101001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-240))\/((-65)\/(-1014)).\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h. Suppose 5*y - 5*f + f - 46 = h, -2 = y + 2*f. Calculate the highest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.3 - -7. Let n = 17780 + -17788. What is the closest to n in v, -1\/6, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjj when three letters picked without replacement from {w: 8, l: 1, x: 3, j: 6}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6 + 1737*y - 868*y - 868*y. Determine a(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - (-55)\/(-15)) + 2\/3. Suppose -3*n + c*w - 2 = 0, 5*n + 7 = 2*w + 1. Sort 9, n, -3.\nAnswer: -3, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 1\/12*j**4 - 5*j + 0*j**3 + 0*j**2 + 0. Let f(h) = 3 + 6*h**2 - 3. What is t(f(b))?\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -220*6.11\nAnswer: -1344.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26 - -0.07121.\nAnswer: 0.33121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**5 - 10*m**4 + 90*m**3 - 160*m**2 + 115*m - 30 = 0 for m.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3616711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, q: 1, y: 1, d: 3, c: 2, z: 1}. What is prob of sequence zq?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 23. Let n be v(0). Let f = n + -11. Calculate the greatest common divisor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 989, 991, 1017, 1079, 1189?\nAnswer: 1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 6*u - 19 - 7, 0 = 2*u + 6*c + 22 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t, -12*n = -15*n + 4*t + 281. What is the greatest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -3)*(-9)\/1. Solve -p = -4*n - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n - 2. Let r = -8 + 5. Let o be r*((-1 - -2) + -2). What are the prime factors of v(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*((-38)\/(-57) + 35\/6). Which is bigger: h or -16?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 1377 + 1412 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2728152984 and -0.06?\nAnswer: 2728152984.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from {c: 1, n: 1, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from yfyoioyffof.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -721*b**2*i**3 - 3*b**2*i**2 + 50*b**2 + i wrt i?\nAnswer: -4326*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 4933388?\nAnswer: 5\/4933388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 69 - -1?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -73, 454, 1331, 2558, 4135?\n\"Answer: 175*n**2 + 2*n - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*g + 58 = 0, -g = 4*s - 6*g - 76. Solve 3*c + 6 + 1 = -y, -2*c = -4*y - s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40951 + 41924. Is f >= 983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 - 2*u**2 + 3*u**2 + (-767 + 270 + 344)*(-u**2 + 3*u**2 - u**2) + 10*u**2 - u**2 + u**2.\nAnswer: -145*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120.08 - -129. Let g = 191 - 200. Let a = g + b. Round a to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njj when three letters picked without replacement from {e: 2, j: 4, n: 5, o: 8}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 0*k + 2*k - 3*k. Let y(i) = -19*i + 14*i + 25*i - 6*i. Give c(y(r)).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 5:48 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -43. Sort -5, y, 1\/7 in decreasing order.\nAnswer: 1\/7, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 476 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*m + 14, -24 = -4*q + m - 6*m. Sort q, 3, -11 in decreasing order.\nAnswer: 3, q, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/294*-6)\/(68\/(-238)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13471105.\nAnswer: 5, 2694221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, k: 2, w: 7, u: 1, c: 2, q: 1}. What is prob of picking 1 k, 1 q, 1 u, and 1 w?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 8:22 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 - 6\/12. Let x be -1 + w + 2 + 68. Suppose 6*t - x = 2*t. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23698 divided by -289\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36859393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2056, -3, 2\/7 in descending order.\nAnswer: 2\/7, -0.2056, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-4)\/(-128)*-40. Suppose b*c + 5*g = 7*c + 7, 0 = -3*g + 9. Solve 4*z - c = 0, -2 + 4 = -3*w + 5*z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 - 1 - 53*g**2 - 49*g**2 + 101*g**2 - g**3 to f*g**2 + h*g**3 + y + d*g**4 + l*g and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 36 = 27. Let s be ((-81)\/n - -4) + 3. What is the greatest common divisor of s and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/12*(-90)\/(-195).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 36*s**2 - s + 2. Let u be j(-2). Suppose -u = -a - 3*a. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 6. Suppose -3*o + 5*u + 1 - 8 = n, 2*u - 10 = 0. 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: What is 12.94774 tonnes in micrograms?\nAnswer: 12947740000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1723 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 less than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, d: 10}. What is prob of picking 1 d and 3 a?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from essddessssdds.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.4. Let x = -3.94 + -0.06. What is the biggest value in a, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 - 5 - -4)*54105\/20.\nAnswer: 3, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -33. Let g be (-1)\/(-1) - (14\/t + 5). What is the fourth smallest value in g, 2\/3, -1\/4, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3071655 - -3073171.007. Let k = f - 1526. Let x = -10 - k. Round x to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u - 21. Let i(m) = 20*m - 62. Let r(t) = -8*h(t) + 3*i(t). Let k be r(5). Let q(d) = -7*d. Let g(o) = 22*o. Determine k*g(z) + 7*q(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482851?\nAnswer: 17, 28403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 3:31 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1 + 9 = 0. Let m = s - -7. Let 0*j**3 + j**4 - j**2 + 5*j - 2*j - j**m - 2*j = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 + 1003 = 2*p. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-626)\/(-15)*6\/(-36). Let y = -50\/9 - b. Calculate the common denominator of y and -63\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5806 + 63766\/11. Let a = l - -744\/77. What is the closest to -2\/5 in a, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1088*z**5 + 6*z**2 + 23?\nAnswer: -65280*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52226 + -52222. Factor 8\/5*v**s + 4\/5*v**2 + 0*v + 0 - 2*v**3 - 2\/5*v**5.\nAnswer: -2*v**2*(v - 2)*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 208*d**3*m**2 - 10*d**3*m + 4*d**3 + 3*d**2*m**2 + 4136*d**2*m - 2*d*m**2 wrt d?\nAnswer: 1248*m**2 - 60*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2. Let t be 0 + 9 - (1 + 0). Suppose -4*o = 20, 4*q - o - 5 = t. Let l(s) = -2*s**2 + s**q + 2*s**2. Determine g(l(i)).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026067414 to five decimal places.\nAnswer: -0.00261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*i - 3*i + 3*i)*(-9*i**2 + 2*i**2 - 9*i**2).\nAnswer: 64*i**3 - 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(-1*sqrt(567)).\nAnswer: -sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -411 and 2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + 2*q**2 - q**2 + (q**2 - q**2 - q**2)*(-2 + 0 - 8) + 2*q**2 - 2*q**2 - 2*q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 3*h = -70. Let m be (-25)\/5*15\/25. Let u be m\/(2*12\/(-112)). Calculate the highest common factor of u and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 5*l**2 - 2*l + 26. Let n(z) = -z**3 + 41*z**2 - 149*z + 41. Let q be n(37). Let y be k(q). Solve 4*p - 1 = 3*t, -t - 3 = y*p - 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42146 (base 8) in base 3?\nAnswer: 220000112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 + -10)*1*-1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + (48 - -11 - 13) + -8 + 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from eft?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.7 - -52.3. Let l = 65.16 - u. Round l to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**6\/6 - 2*z**5\/5 - 9*z**4\/2 - 32*z**3\/3 - 23*z**2\/2 - 6*z - 109. Suppose p(f) = 0. Calculate f.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-17))**(-13\/5) assuming j is positive.\nAnswer: j**(221\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 68 = 5*n. Calculate the smallest common multiple of 2 - -1*(-1 - -3) and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1304118*-0.59\nAnswer: -769429.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 18 = 5*w, s = -4*s + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u + 15. Let p be i(4). Let j(b) = -31*b**3 - 2*b + 32. Let o(d) = d**3 + d - 1. Let s(q) = p*j(q) - 2*o(q). Differentiate s(v) wrt v.\nAnswer: 87*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1550, 1525, 1480, 1403, 1282, 1105, 860?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 6:23 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5.2 * 47113.8\nAnswer: -244991.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**2 + z**2 - z**2)*(-z - z + 4*z) + (-3 - 1 + 2)*(25*z - 7*z**3 - 25*z) in the form x + i*z**2 + t*z + q*z**3 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 161771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 20*u**2 + 66*u + 2086. List the prime factors of v(-37).\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 1 + (-1 - 0). Let h(l) = -20*l**3 + 10*l**3 + l**2 + 11*l**3. What is the units digit of h(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 4 (b) 2\/7 (c) 124 (d) 21.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.071 - -30.929. Let x = 30.966 - f. Round x to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((0\/4)\/(-4))\/1. Suppose u = 4*x - 181 - 131. Suppose 3*s = x - 24. Is s <= 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3268 by -12.\nAnswer: -817\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52921*r**3 - 5078*r**2 wrt r?\nAnswer: 317526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p - 2*d = 9748, -5*p + 12185 = 2*d. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 6*s + 2. Suppose 2*h + 0*h = 0. Suppose -2*n + n + 6 = h. Let q be t(n). Solve 2*k - 1 = 4*i + 7*k, 4*i + 2*k - q = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055446306343 plus -0.3?\nAnswer: -0.244553693657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + 0*v + 2*v)*(-3 - 3 + 7)*(-2 - 3 + 4).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b = -24*b + 30. Solve -i - y = 0, -3*i - y = -4*y + b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**3 - 2763*z**2 + 5517*z - 2757 = 0.\nAnswer: 1, 919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2655 divided by -26828\nAnswer: -2655\/26828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s**4 + 3 - 3)*(2 + 3 - 4 + (1 + 0 - 5)*(1 - 3 + 6)) to j*s**3 + q*s**2 + i + k*s**4 + x*s and give k.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -35\/359?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -19*p**3 + 268*p**2 - 27*p - 12. Give g(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 15 = 3*q, q = 6*q - 5*t - 5. Find w such that -10*w - 2*w + q*w**2 - 18 - 6*w**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.4, -2, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 312, -1, 49, 0 in descending order.\nAnswer: 312, 49, 2, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, -3\/2, 0.4, 40, 157, -0.2, -0.15?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 67071888 and 36.\nAnswer: 67071888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40409 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 327713800 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -25. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*t**2 + 120 - 120 + t**3 + 33*t**2 - 99*t**2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 6:17 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 9:48 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (31008\/85)\/16?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 568 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3712188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -2. Suppose 2*q = 5*k - 0*q - 509, r*k - 503 = 4*q. Let w = 144 - k. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*q + 321 = 0, -4*w + 4*q + 220 + 208 = 0. Suppose 15 = -23*h + w. Calculate the highest common divisor of 31 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239 a factor of 20740799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 575 and 3496?\nAnswer: 87400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - b + 1. Let u(v) = 12*v**3 - 5*v + 5. Suppose y - 4 = -y. Suppose -4*x + 2*i = -y, i = 2*x - i. Give x*u(f) - 5*m(f).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -182 and -28?\nAnswer: 5096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2116.2 and -2.2.\nAnswer: -2118.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2838.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 6*v**2 - 9*v + 12. Let f be t(7). Let d be ((-2)\/(-4))\/(f\/(-48)). Suppose 0 = h - 3 - 0. Solve z + d = -3*l - 0*z, -h = -l + 2*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1242763334.\nAnswer: 2, 631, 984757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 690778 or 690763?\nAnswer: 690778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-2 + 0 - 3) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 565 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*m**2 - 31 + m**2 + 12*m**2 wrt m?\nAnswer: 26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2829998, 2830000, 2830012, 2830040, 2830090, 2830168, 2830280?\nAnswer: 2830432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. What is b in -4*b - y*b**3 - b**2 - 1 + 2 + 3*b**2 + 3*b**2 = 0?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (44 + 59 + 191)*(1 + 3 - 5)*(s + s - 5*s) - 3*s + 3*s + 2*s in the form a + h*s and give h.\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 + 138*c + 2690*c + 2424*c - c**2 - 1 in the form w*c + p + a*c**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/72 and -95\/162?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 4:09 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 4*l**2 - 9. Let f be w(-5). Suppose 0 = f*a + 6352130 - 93872130. What is a rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -256 by 64.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**3 - 6075*k**2 + 1525420*k + 126192300 = 0?\nAnswer: -65, 494, 786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, 5, 10, 17, 26, 37, 50?\n\"Answer: a**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13005697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 4. Let p be t(0). Suppose -v = -2*v + 5*x + 17, 3*v + p*x - 108 = 0. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 11:53 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1270681 is divided by 634272.\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96370170*j**3 - 122454306 wrt j.\nAnswer: -289110510*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/69 + 2\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 75*k + 2148. Calculate w(-20).\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132922216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5*l - 34 = 0, 69*v - 68*v - l + 16 - 8 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -12*s + 52. Let o be g(4). Solve 0 = -2*v + 6, 5*v - 23 = -o*f - 0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - k**2 + 2*k**3 + 3*k + 4*k**2 + 2 + k**2. Let g be i(-3). Which is the closest to g? (a) -1\/4 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*s**3*u**3 - 243*s**3*u**2 - 32*s**3 - 148*u wrt u.\nAnswer: 72*s**3*u - 486*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - m**2 + 3*m**2 + 3)*(217 - 196*m**2 - 217) in the form s + v*m**3 + j*m + w*m**2 + l*m**4 and give l.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -399, -723, -1047, -1371?\n\"Answer: -324*v - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11059 is divided by 98.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c + 4. Let z be o(-3). Suppose 5*t = a - 14, -3*a - z = -7*a + 3*t. Solve -a*h + 7*h = 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 5410 = -3564. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7*x. Let p(y) = 6 + 10 + 100*y - 97*y - 8. Determine p(c(n)).\nAnswer: -21*n + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**3 + d. Let a be p(-1). Let c(y) = -y**2 - 5*y + 8. Let f be c(a). Solve 0 = 2*n + 3*t + 5, -4*t + 24 = -7*n + f*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 134265, 3 in increasing order.\nAnswer: 3, 5, 134265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11880398393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**4\/24 - 10*o**3\/3 - 94*o**2 + 2*o - 1. Give r(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1306935, -2613891, -3920849, -5227809, -6534771, -7841735?\n\"Answer: -y**2 - 1306953*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -109 in -6.4, -4, 3\/7, -0.1?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1908)\/21)\/((-6)\/1071). Let r be (-6)\/21 + c\/21. Suppose -r - 483 = -5*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4180923 plus 53155?\nAnswer: 53154.5819077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -956888, -957686, -959016, -960878, -963272, -966198?\nAnswer: -969656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -172 + 172.2. Which is the fourth biggest value? (a) 5 (b) -1 (c) v (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -238? (a) -2\/3 (b) 8 (c) -44 (d) 8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2013322 (base 4) to base 8\nAnswer: 20772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*h - i, 3*h + 3*i - 7 - 14 = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 44537334.\nAnswer: 222686670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/15 and -137\/9978.\nAnswer: 49890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*x + 25, 5*n - n = -20. Suppose -2*p = 2*o + p - 20, o = 3*p - 8. Sort x, -1, o.\nAnswer: x, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4\/5, -0.04, -4, 3871 in increasing order.\nAnswer: -4, -2, -0.04, 4\/5, 3871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 57 = t, 4*z + 8 = -4. Let j = -2 + 6. Suppose 0 = j*h + 4*m - 20, -5*h = -5*m + m - 52. Calculate the highest common divisor of h and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4839?\nAnswer: 3, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -4, -120, -2\/101?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*m**2 + 13 - 51 - 2*m + 18 + 3*m + 12.\nAnswer: -134*m**2 + m - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -189.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*p + 3, 17 = 4*c - 5*c - 4*p. Let r be 2*(c + 3\/(-2)). Solve 15 = 3*u + 2*i - 0*i, -12 = -r*u - i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125738*y + 502946*y - 125738*y - 125739*y - 125735*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-2)*2518*(-5)\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23038\/5967 + -104\/27. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -21 + (6 - 30)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (-2 + -50 + 18)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 146 + 16c7?\nAnswer: 182d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(48\/1320*(-33)\/(-3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 265*t**3 - 133*t**3 - 135*t**3 + 25*t**2 as u*t**3 + o*t + p + i*t**2 and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7296.176 years?\nAnswer: 72.96176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103.9 - 104. Let z be (-3)\/24*-4*2. Let x be 3\/((3\/3)\/1). What is the closest to 0.1 in f, z, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - g + 1. Let a(o) = -8*o**2 + 10*o - 10. Let x(m) = -2*a(m) - 20*l(m). Let h(i) = 2*i + 2*i - 2*i. Determine h(x(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11970 = -2*g + 10336. Suppose -g - 5857 = -27*w. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1*sqrt(84)*2)\/(6*sqrt(108)))**2*-1.\nAnswer: 317\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**4*y - 4*f*y**3 - 4*f*y - 17*y**3 + 2*y wrt f.\nAnswer: 8*f**3*y - 4*y**3 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2799420 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) -2\/19 (b) 2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1.2. Let r = 115 - 111. What is the biggest value in r, g, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32742 and 730864.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.9 and -0.6?\nAnswer: -7.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**2 - 884*i + 82890 = 0.\nAnswer: 135, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*o = 0. Let m(c) = 2 + 0 + 1 + c + 15. Does 11 divide m(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r + 36*r = 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**3\/3 - 2. Let q(p) = -3*p**2. Give -15*f(v) - 4*q(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -2, -4, -5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -502*g - 2972. What is the least common multiple of x(-6) and 1936?\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37676 at least -37681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*c + 11459 - 5195 = -84*c for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**5*y**2 - 8124*u**5*y - 6*u*y**2 - y**2 + 2174 wrt u.\nAnswer: -40*u**3*y**2 - 162480*u**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-11)\/30 + 7\/(525\/(-10)))*4. Let o(s) = 3*s + 2. Let t be o(-2). Let r be t\/8 - 6\/(-4). Which is the smallest value? (a) d (b) r (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139172784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10020 (base 4) to base 12.\nAnswer: 1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 15*l**3 + 7*l**2 - 5*l + 13. Let y(m) be the second derivative of 7*m**5\/20 + m**4\/4 - m**3\/3 + 3*m**2 - 944*m. What is -5*y(t) + 2*z(t)?\nAnswer: -5*t**3 - t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(2\/18*3)\/1*11747\/691?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10209931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -58*p**2 + 5*p - 5. Let a = 6598 + -6601. Let k(o) = 29*o**2 - 3*o + 3. What is a*b(s) - 5*k(s)?\nAnswer: 29*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 5*y. Let h(d) = -d + 2. Let w be h(y). Suppose 4*k - 264 = -w*k. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2654 (base 9) in base 13?\nAnswer: -ba4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 86653828*m. Let b(d) = 5*d. Determine i(b(j)).\nAnswer: 433269140*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*g + 92 - 1427 = 0. Solve 0 = -14*y - g + 43 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.0105989054 - -55\nAnswer: 51.9894010946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (0 - -1)*-3. Suppose -4*c = -3*c + 2*p - 430, 862 = d*c + 3*p. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26721*y**4 + 143871 with respect to y.\nAnswer: 106884*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcxp when four letters picked without replacement from ccpccppxx.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + x - 6. Let h(y) = 3*y**2 - 8*y + 18. Let j be h(5). Suppose -8*u - j + 21 = 0. Calculate a(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 270691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10)*(-12)\/(288\/(-10)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267488 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 12. Let r(g) = -g - 6. Let t be r(b). Let u be 6\/2*6\/(-9). Is t greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1532901 is divided by 73?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*i = -4, 1575*d + 5*i - 15 = 1570*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-8\/5)*v*v*v*(v**(-1\/23)*v)\/v*v*(v*v\/v**2)**(-18\/11) assuming v is positive.\nAnswer: v**(386\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 2*k**2 - 2*k**2 + k**2 + 1336*k - 1336*k to y*k**2 + g*k + p and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2799 - -2784.81. Let m = -2.11 + v. What is m rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9629*b**2 - 35*b + 10. Let m(y) = -4813*y**2 + 20*y - 6. Give 7*m(p) + 4*x(p).\nAnswer: 4825*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1019 divide 1037371746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/6)\/i*i*i**20)**(-1\/5))**(2\/35) assuming i is positive.\nAnswer: i**(-121\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**7*t**8\/t)\/(t**(-5)\/t**(7\/5))*(t*t\/t**(-2\/11))\/(t\/(t*t*t**(-2)*t))*t**(-2\/9)*t**(1\/7) assuming t is positive.\nAnswer: t**(81436\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348975948.\nAnswer: 2, 3, 103, 331, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 = 5*k, 0 = -3*g - 212 + 215. Which is the second biggest value? (a) 0.4841 (b) 0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**2 - 10*b. Let p be s(3). Suppose -635*k - p = -641*k. What is the nearest to 1 in -2, k, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2220 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -53, -97, -151, -215, -289, -373?\n\"Answer: -5*b**2 - 29*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = f - 6*v - 88, -5*f + 2*v = -416. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -3203033212?\nAnswer: -3203033223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0071243 to four dps.\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -585 - f - 589 + 1174 - 3*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 6*w**3 - 2*w**2 - 3*w**2 + 4*w**3.\nAnswer: 10*w**3 - 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/1197432 and 89\/4?\nAnswer: 1197432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1242*w + 1. Is k(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 703 - 501. Let p = r - 107. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/((-1785)\/697) - 6. Which is the nearest to -1\/2? (a) 3 (b) p (c) 0.4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, t: 7}. Give prob of picking 3 t and 1 u.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049010 to the power of 1\/2, to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 z when four letters picked without replacement from {c: 2, o: 1, z: 3, x: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z - 15 + 3 - 4*z**2 + 6 + 2*z**2 to q*z**2 + h + y*z and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 h when three letters picked without replacement from zvvvvvxvhhhvhhhhv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-189)\/27 - -25)\/(-1 + 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/6 - ((-48)\/12 - (-80)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/(-6)*1988\/2130 and -61\/140.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - -4) + -11 - 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122494.\nAnswer: 2, 73, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-2)\/(-4)*(-34)\/51). Let i(a) = -a**3 - 12*a**2 + 46*a + 12. Give i(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**5 + 252*r**4 + 10368*r**3 + 138240*r**2.\nAnswer: 2*r**2*(r + 30)*(r + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02971453 to five decimal places.\nAnswer: -0.02971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 285*u**2 + 4776*u - 8436.\nAnswer: 3*(u - 74)*(u - 19)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -2021022?\nAnswer: -2021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081395 a multiple of 519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**5 + 11*f**3 - 9*f**2 - 10.\nAnswer: -180*f**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 17964.6 to the nearest one hundred.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -2226 and 12.\nAnswer: -2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 791 and 616203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2) - (4 - 4). What is the biggest value in 4, -1, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -61, -6, 3, -3, 1, -5 in descending order.\nAnswer: 3, 1, -3, -5, -6, -61, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, i: 2, u: 1, k: 1}. Give prob of sequence kii.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-34)\/3 + (-28)\/42. Let v be (-7)\/14 - (-3)\/y*-3. Let u = 44 + -45. Sort v, 0, u, -0.01 in decreasing order.\nAnswer: v, 0, -0.01, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 166777.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -50*r + 58*r + 4*x, 88 = 4*r - 5*x for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/2)\/(-1 - 1). Suppose 2*r = 3*j - 7, 0*r = -r + j - 2. Sort 4, y, r in ascending order.\nAnswer: y, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.31, -4, -2.27, 0?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -356 by -307.\nAnswer: 356\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1 = -11. Solve 3*p - 5*t = 0, h*p = -4*t + 5*t + 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 12:38 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 3. Let m be w(6). Let z(a) = -a**3 + 10*a**2 - 6*a - 4. Calculate the remainder when 85 is divided by z(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*m - 12, 3*w - 2*w + 2*m = 1. Suppose -w*s = -8*s + 9. Let i(j) = j**3 - 2*j**2 - 2*j - 4. Give i(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 1.96, 1?\nAnswer: 1.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {l: 6, m: 1, i: 2, p: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1674?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -2, 1\/11, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*q = -11*q + 592. Calculate the remainder when 907 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39545923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 283929.17919 rounded to zero dps?\nAnswer: 283929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*b = -10872, -2*n - 2*n = -2*b - 14514. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojxo. Give prob of picking 1 x and 2 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 7*i - 17. What is the units digit of h(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 56.\nAnswer: -5\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.33 + -0.66. Let a = -1.4 - -1.124. Let y = a - f. What is y rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-686)\/10 + (-232)\/630 + 38\/(-1197) + 0?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059336?\nAnswer: 2, 3, 14713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*l - 3. Let n(g) = -238 + 487 + 16*g**l - 248. Calculate n(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/4)\/(2\/(-2))*(-11)\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24321.5 and -3?\nAnswer: 72964.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -2\/13, 0.2, 3, -0.2, 21?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -307.9354 - 0.0646. Let v = 308.000001995 + a. Round v to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzr when three letters picked without replacement from zzzzzzrzzzrz?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, -28, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4334 - 21668\/5. What is the fourth smallest value in 5, 1, -0.46, y, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79570 and 6540?\nAnswer: 477420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 4*i - 6. Let x be r(5). Let c = 3 - x. Suppose 0 = q - 2*q + c. Calculate the greatest common factor of q and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 948033000 rounded to the nearest one million?\nAnswer: 948000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1235 in 0, -0.06, 1.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -s + 17, -2*s = 1 - 5. Let a be (h + 2 + 1 - -2)*-1. Factor -2\/9*n**3 + 0*n + 0*n**2 + 2\/9*n**4 + a.\nAnswer: 2*n**3*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 56*o**2 + 3*o + 14. What is the units digit of m(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 14*m + 31. Let x be w(14). Solve 5*a - 4*d - x + 3 = 0, -4*a + 20 = -2*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -9.8. Let g = s + -2.8. Sort g, 2\/9, -2\/5 in decreasing order.\nAnswer: 2\/9, -2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*m - 8. Suppose 4*p - 5*t = 215, -p = m*t - 40 + 2. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16, 141, 496, 1201, 2376, 4141, 6616?\n\"Answer: 20*v**3 - 5*v**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/567 - 4\/42.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*s - 1. Let h = -28 + 7. Let c be -2 + h*(-1)\/3. Solve -c*v - s = -3*k - 0, -3*v - 4*k - 18 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + 5*g**2 - 6*g - 4. Let d = 178900 + -178896. Let n(h) = -h**2 + h + 1. Suppose j - 5 = -j - q, 3*q - 6 = 3*j. Determine d*n(y) + j*o(y).\nAnswer: -2*y**3 + y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - -8. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7702*t = 58871 - 116885 - 203854 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*b**3 - 258 + 30 - 7*b**3 - 42*b**3 with respect to b.\nAnswer: -198*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s + 5. Let w = 0 - 0. Suppose -5*f = -b - 26, 4*b + w*b + 2*f = -16. Calculate the remainder when t(b) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -52 (b) 1 (c) -1 (d) -908\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 7 = -5*k - 10, 5*s + 2*k + 15 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5183 + 5183. Which is the biggest value? (a) 9\/4 (b) p (c) -1 (d) 5\/2 (e) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a minute in milliseconds?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 56 - 340*s - 56 + 80*s. Let f(t) = -3*t. Give f(r(h)).\nAnswer: 780*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 394 and 25019.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17496? (a) -1 (b) -1\/9 (c) -0.4 (d) -5 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48116 is divided by 349.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 127 = -4*o, 4*o + 52 = 3*u - 79. Let q = 36 + o. Suppose -g + 610 = q*g. List the prime factors of g.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 6:00 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4175546 to the nearest integer?\nAnswer: 2043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -4*o - 3*o. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w + 34. Let q = w - -2. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -747570 to the nearest 1000.\nAnswer: -748000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**2\/17 + 261088*t\/17 + 20377032\/17 = 0.\nAnswer: -78, 130622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.974909 millennia to decades.\nAnswer: 97.4909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/48 and 37\/20.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**5\/25 + t**4\/20 + t**3\/15 - t**2\/10 - 17. Factor j(o).\nAnswer: -o*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -301196943*u**3 - 286502121*u**2?\nAnswer: -1807181658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1341843545 to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*m = -12*m + 489. Let h(o) be the first derivative of -11\/4*o**4 - 7*o + 0*o**m + 0*o**2 + 12. Differentiate h(f) wrt f.\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2032, -46, 0, -4.\nAnswer: -46, -4, 0, 2032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 347\nAnswer: 18\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from dpppfffppdppff?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1358720.3217 rounded to the nearest 10000?\nAnswer: -1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*p - 92, 2*y - 13 + 85 = -2*p. What is the units digit of (-14)\/(-7)*(-2 - y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 47. Find the first derivative of 20 - 8 - 15*x**a + 2 + 4*x**2 wrt x.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 1\/210*k**5 - 1\/84*k**4 + 2 - 1\/2*k**2 + 0*k**3 + 0*k. Let b(m) be the second derivative of q(m). Factor b(r).\nAnswer: 2*r*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 1 = 3*n, u + n = -4*u + 7. Suppose 5*o = 18 + u. Suppose 3*t + 29 = 5*m - 0, 0 = o*m - 3*t - 25. What is m rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d**(2\/3)*d))\/d))**(-34)*(d**(-10)\/d)\/d**(3\/10) assuming d is positive.\nAnswer: d**(-3059\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175293*f**3 + 32 + 26 - 58 - 175236*f**3.\nAnswer: 57*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4560*g**3 + 258 - 4557*g**3 + 337 + 151 to the form l + x*g**3 + s*g + f*g**2 and give l.\nAnswer: 746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 * 2121.7\nAnswer: -5092.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136, -5, 6, -300, -11, 0 in increasing order.\nAnswer: -300, -136, -11, -5, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136\/135 - -91\/135. Put 0.294, r, -1 in ascending order.\nAnswer: -1, r, 0.294","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:50 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7)\/o)**(-39))**(5\/3)*(o**(-3\/2)\/(o\/(o*(o**(-1\/10)*o*o)\/o)))**(-3\/4) assuming o is positive.\nAnswer: o**(6563\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-314)\/52 - 98021\/(-182039)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -0.5 (b) 1 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-20))\/(((-405)\/(-24))\/(-15)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9371.998 rounded to the nearest 10?\nAnswer: 9370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119566*s**2 - 59772*s**2 - 59790*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1881 - 1885 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Suppose -2*u + 105 = n*u. Suppose -5*o - 7 + u = d, o = 2*d - 17. Calculate the highest common divisor of 45 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23066?\nAnswer: 2, 19, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9 = -m. Suppose 10 = -3*u - 2*u, -m*n + 2*u + 226 = 0. What are the prime factors of n?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*s - 50, -5*s + 253 = 4*i + 81. Let a = i - 26. Let n be 231\/a - (-1)\/(-4). Solve -3 = -v - m + 2, -3*m + n = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140211803.\nAnswer: 140211803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1147 - 1147 - 36*g)*(-17*g**2 + 19*g**2 - 13*g**2) in the form p*g + x*g**3 + i + c*g**2 and give x.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k. Let h(f) = -f. Let p(j) = -3*h(j) + 2*s(j). Let z be p(1). Let u be (0 + 3 + -3)\/z. Solve u = -0*l - 5*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 9, j: 5}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -1260\/11 and 0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1285345178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57532 and 868279?\nAnswer: 65989204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 14*u**3 + 1. Let p be l(1). Suppose p = 3*h + 3. Solve -3*r = -z + 2*r - 10, h*z - 5*r = -10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 8*h**2 - 7*h + 2. Let y be r(7). Suppose -3*f - y*f + 20 = 0. What is the tens digit of f\/((-4)\/3) - -45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3311322 (base 4) to base 2.\nAnswer: 11110101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 - 5*z**2 + 7. Let k = 31 - 26. Let w(a) = 2*a**3 + 2*a**2 - 3. Let l(x) = 2*x**2 - 4*x + 2. Let h be l(2). What is h*f(s) + k*w(s)?\nAnswer: 2*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert cb (base 13) to base 4.\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5778)\/(-2568))\/(-10 - -1))\/(1\/(-96))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9)*-6)\/(216\/(-162)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/(-52)*-6*-14*40\/(-945)?\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 110, -37, 5 in ascending order.\nAnswer: -37, -2, 5, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 - 149 - 16 + b**2 + 2*b**3 - 2*b**2 - 149 + 314.\nAnswer: 2*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1278 not equal to -850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or -214\/5?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 2601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y - 7. Suppose -2*c + 4*c - 4*z = 70, 5*c - 2*z = 143. Let g = 32 - c. Calculate m(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 77294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -138851469?\nAnswer: 138851471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 203*w - 1874. Let p be r(-9). Solve -21*b - p = 29 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 - 25600*c\/7 + 81920000\/7.\nAnswer: 2*(c - 6400)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-532)*1630*(-5)\/(-25) + (-2)\/7.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - z = 4*r - 9, 3*z - 39 = -5*r. Suppose 5*b = -r*b + 22. Find y, given that -1\/4*y**4 + 1\/4*y**5 + 0 + 0*y + 1\/4*y**b - 1\/4*y**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -3*t**3\/2 + 584*t. Let b(h) be the second derivative of -2*h**3\/3 - h. Calculate v(b(m)).\nAnswer: 36*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -633.1 + 601. Let x = 32.1337 + z. What is x rounded to 3 dps?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/4*n**4 - 6*n - 17\/2*n**3 - 45 + 121\/4*n**2 = 0. What is n?\nAnswer: -1, 2, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**3\/4 + 7*l**2\/2 + 7*l\/4 - 110 = 0.\nAnswer: -5, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/1763040 and -187\/110190.\nAnswer: 1763040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 1, 3\/4, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -6\/5*y - 3\/5 - 3\/5*y**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**4\/6 + z. Let g(f) = 218*f. Let c(d) = 11528*d. Let u(q) = 5*c(q) - 264*g(q). What is u(s(p))?\nAnswer: -176*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a - -2bba3?\nAnswer: 2bbcd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 19*f**2 + 136*f - 17. Is h(-38) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 42790, 42899, 43008, 43117, 43226?\n\"Answer: 109*k + 42681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -3*g - 3, 710*g = -2*z + 705*g - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -6*v. Let p be (-20)\/(-90)*-3 + (-834)\/(-333). Let c = p + -229\/185. Put 4, c, -0.03, v in ascending order.\nAnswer: -0.03, v, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67 - 8*j**2 - 14 + 5 + 7*j**2 to the form z + b*j + x*j**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1495 - -1490. Which is the nearest to 5? (a) -2 (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3313067 is divided by 4576?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26003, -52011, -78023, -104039?\n\"Answer: -2*l**2 - 26002*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + i + i = 152, -5*i + 164 = 3*p. Suppose -a = g - 16 - p, -g - 2*a + 60 = 0. Calculate the lowest common multiple of 4 and g.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19.6? (a) 14 (b) 6\/11 (c) -8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**4\/8 - 30*a**2. Let h(i) = -18*i**2. Give s(h(c)).\nAnswer: 54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwrrwwwhwwrwhrr. What is prob of picking 2 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (75\/375)\/(((-4)\/(-10))\/2). What is the closest to 1 in 0.2, -0.1, y, 24.6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-83)\/1494*3\/2.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 43 (b) 3 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 141 = c, 0 = 3*v + v + 4*c - 144. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-72))\/(3\/9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d - 10. Let k be w(3). Solve -u**k - 1 + 19*u + 19*u - 36*u = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 5*s**2 + 5*s + 5. Let r be k(6). Let j = 60.99 - 59. Let n = 0.01 + j. Put 4\/3, r, n in descending order.\nAnswer: n, 4\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r - 13. Let u be g(-4). Solve 3*z = 2 - u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*r**3 + 3*r**4 + 18*r**3)*(-400*r + 48*r - 106*r + 35*r).\nAnswer: -1269*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2184, -3227, -4294, -5397, -6548?\n\"Answer: -2*f**3 - 1029*f - 1153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9739669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 18185 = -12871. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/14)\/((-3)\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irrv when four letters picked without replacement from iryrryrv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s + 35*s = -32*s + 442 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 797690.3 + 0.5.\nAnswer: 797690.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.529 to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 931*z - 355729. Give x(382).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -911101 and -911100 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*53 + (-1 + -4 - -3). Let h = -46 - t. Let q(o) = o**3 + 8*o**2 - 14*o - 13. Calculate the remainder when h is divided by q(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33 + -268?\nAnswer: -2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -986*i + 434*i = -456*i - 1824 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5 = -19. Let b(o) = -3 - 3*o + 2*o + 2. What is the remainder when b(y) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -6 + (6 - 4) - 13 - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011320232 (base 4) in base 8?\nAnswer: -2057056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3299734.15 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a45 + -a11?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5 - 24*o**4 + 96*o**3 - 128*o**2.\nAnswer: 2*o**2*(o - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 + 68*g - 4*g**3 - 8229*g**2 + 69*g + 8229*g**2.\nAnswer: -g**3 + 137*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 - 14*q.\nAnswer: -2*q*(q + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.38032 + -329.14.\nAnswer: -330.52032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 3:19 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and 37?\nAnswer: -1.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9882 + -9760. Calculate the remainder when 244 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z - 56. Suppose 3*m + 12 = -5*v + 90, 0 = m + 4. Calculate the lowest common multiple of v and r(-18).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6405 - 730*w + 6354 + 1069*w)*(-2 + 4 - 3) as l*w + u and give u.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1460*i - 618*i - 489*i - 335*i - 444*i to b*i + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*w + 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 + 0*q**3 - 14*q**3 + 12*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 at most 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + f - 28*f**3 + 34*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17703 divided by -281\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47757625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*d**3 - 2*d**2 + 34094*d + 2*d**2 - 34093*d + 160*d**3.\nAnswer: 524*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(20) + -4 - sqrt(5)) - ((sqrt(80) - -1*sqrt(80))**2 + -2))*4.\nAnswer: -1256 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 11, h: 1, t: 3, p: 1, r: 3}. What is prob of sequence wr?\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -359 - -359. Solve g = 2*v + 7*v + 45 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*m + 39*m - 342 = 0. Solve -4*z + 0*s - 5 = -3*s, -2*z = -m*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.21378616 and -6027.\nAnswer: -6026.78621384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 10*j - 4. Let z be h(4). Let o(r) = 2*r**3 - 2*r**2 - 19*r + 70. Let x be o(4). Calculate the highest common divisor of z and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 137 and 17.\nAnswer: 2329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 67*s - 36. Let m be t(17). Suppose m = 12*n - 157. What is the tens digit of ((-3)\/6 - n\/18)*-18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6387.947 days?\nAnswer: 551918620800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -41*u + 1\/10*u**5 + u**2 + 0*u**3 + 1\/6*u**4 + 0. Determine s(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10193968*x - 10193933*x - 1400 = 0 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100 + 1711. List the prime factors of g.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2.1 (b) 1 (c) 3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 118308181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94272 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34393774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14543285*s**4 + 6171841*s + 1.\nAnswer: 174519420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-10)*(0 + -2). Solve 1 = -2*t + i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 480\/45 - (-4)\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.15169 milligrams to micrograms.\nAnswer: 24151.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Let n(y) = -y - 13. Let g be n(-13). Let o(z) = -4*z - z + g*z. What is a(o(h))?\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 78, -m = -5*m + 3871*p - 3875*p + 88 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -21*i + 6. Let v(b) = 3*b - 1. Let f(j) = -c(j) - 6*v(j). Let t(x) = -2*x**2. Determine f(t(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/3*(-4)\/4*3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*l**3 + 7*l**3 + 47*l**3 + 40*l**3 + 8*l**3.\nAnswer: 191*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9949 + 9952. Let f = 3.7 - 4. Put v, 12, f in descending order.\nAnswer: 12, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 15*p - 130 = 0. Sort p, 7, -1, 1\/7 in decreasing order.\nAnswer: 7, 1\/7, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 + 264*u**3 - 1476*u**2 + 2160*u.\nAnswer: -4*u*(u - 60)*(u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -3*o**5\/5 + 240*o**4 - 25278*o**3 - 77280*o**2 - 77763*o + 949. Solve g(t) = 0 for t.\nAnswer: -1, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -6 - 0. Let x(s) = s - 4*s + 0*s - u*s. Let g(b) be the third derivative of -b**5\/60 + 20*b**2. Determine g(x(n)).\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u - 48. Let v be d(-24). Suppose v = 2*n + 4*n. Suppose n = h - 11*h. Solve 0 = 3*m - 3, 2*w + 3*m - 3 = -h*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 288 + -284. Solve y*v + 16 + 4 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*n - 3*n + 4*n)*(-14 + 7 + 132) - n - 4 + 4)*(n - n - n).\nAnswer: -124*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/49? (a) -4 (b) 36 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1116144?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svsovoousexx. What is prob of sequence oevs?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7.916171+1.3\nAnswer: 9.216171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7392.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23067 - -23383. Calculate the lowest common multiple of 158 and z.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 1\/2*s**2 + s + 0*s**3 - 5 + 1\/4*s**4. Let g be d(-1). Are 2\/17 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/40 - 237\/(-24). Let p be r\/(-15)*3 - -8. Solve -t + 4*t = p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 308 - 300. Let g be i*50*(3 + -2653). What is g rounded to the nearest ten thousand?\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 5. Suppose s - 86 = -5*f, -46712*f = -3*s - 46715*f + 66. Solve 0*l = -s*l + j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(2 + (-6)\/4). Let j be 4\/(-10) + (-94)\/d. Let c(v) = 10*v**2 + 62*v - 177. Let a be c(3). What is the greatest common divisor of j and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*v - 128 + 32. Suppose 0 = -11*x - 12*x + 30*x. Solve -q + 2*q = x, v*c + 2*q = -20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-4))**(2\/7))**(-49) assuming m is positive.\nAnswer: m**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 527 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.3392203 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osohksttskoo. Give prob of picking 1 k and 2 s.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 24*q + 5. Calculate the remainder when 315 is divided by t(2).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1050 + -1000. Calculate the least common multiple of b and (30\/(-4))\/(18\/(-36)).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*k + y + 1, 5*y + 25 = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8910901.8 seconds in days?\nAnswer: 103.1354375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.03, 3, -0.323?\nAnswer: -0.323","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q - 3. Let h(g) = g - 4. What is 2*h(n) - 3*m(n)?\nAnswer: -4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -27*12\/(-330) - 36\/45?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttzzhpr. Give prob of sequence phh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = -4*f + 14, 4*r + 22 = 5*f. Suppose 0 = -4*d + p - 5*p - 4, -f*p + 4 = -d. Let o = d - -5. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*d**4 + 12*d**3 + 200 + 78*d**2 + 640\/3*d.\nAnswer: 2*(d + 2)*(d + 5)**2*(d + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 5*s**2 - 3*s - 4. Let x be u(4). Suppose 2*a + 6 = 0, x*b + 5*b = a + 158. Let z = 28 + b. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6cd1 (base 16) to base 13.\nAnswer: -c8ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32495557 - -3?\nAnswer: -32495554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - f + 264 = 0, -2*g + 62*f - 58*f + 234 = 0. Calculate the greatest common divisor of 10449 and g.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100011 (base 2) to base 11.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2\/4 - 141*j\/4 + 207\/2 = 0.\nAnswer: 3, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**5\/5 - 32*r**2 - 6*r. Suppose 1 - 5 = -2*k. Let s(y) = -3*y**k + 2*y**2 + 0*y**2. What is s(c(g))?\nAnswer: -144*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 106670, 106744, 106924, 107264, 107818, 108640, 109784?\n\"Answer: 9*x**3 - x**2 + 14*x + 106648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1489\/1137?\nAnswer: 1489\/1137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6425 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w + 10. Let m be h(0). Suppose -7*l - m = -12*l. Solve l*x = -2*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) -5 (c) -45 (d) 2 (e) 3 (f) -18\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 8:37 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121701763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 7*g**2 + 2*g - 8. Let t be p(7). Let x(j) = -7*j + t*j - 2*j + 2*j**2 + 2. Let d be x(2). Solve 5*h = d*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39054834 and 2961504.\nAnswer: 624877344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drir. What is prob of picking 2 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101021022 - -21011?\nAnswer: 101112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2, 1\/4, -15713, 8, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from yyyykkkkyyyk?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087978417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, c: 7}. Give prob of picking 2 k and 2 c.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 1 - 4 - 4. What are the prime factors of ((-2)\/(-2))\/(w\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -4\/3 (c) 0.163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - 1. Let z be 0 - (-1)\/(-3)*s. Let o = 1.38 - 1.28. What is the nearest to 0 in o, z, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-24))\/((-2)\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1476*m - 5*b = -1475*m - 20, 0 = -3*m + 22*b - 51 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 145 and 3392942?\nAnswer: 16964710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 + 63. Solve -2*a + 10 = g*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 15) in base 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1943 + -2030. Let y be l\/(-156) + (-7 - (-243)\/36). Factor 18\/13*m**2 + 24\/13*m**3 + y*m + 10\/13*m**4 + 0.\nAnswer: 2*m*(m + 1)**2*(5*m + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2953 divided by -1?\nAnswer: 2953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 578, -3\/14, 2\/9, 6, 6\/17?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 2. Suppose 0 = -3*u - 2*q + 25, a*u + 2*q + q = 30. Let v = u + 0. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-398)\/(-4))\/(5\/2). Let k = 40 + p. Let g = 1\/5 - k. What is the common denominator of 85\/4 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 344, 44583, -10 in decreasing order.\nAnswer: 44583, 344, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -36*n**4 - 6*n**4 - 100*n**3 - 12 - 12*n - 27*n**4 + 36*n**2 + 154*n**3. Let y(m) = m**4 + m - 1. Let c(a) = -w(a) + 12*y(a). Factor c(q).\nAnswer: 3*q*(3*q - 2)**2*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 4*q**2 - 3*q + 3. What is the lowest common multiple of 2 and f(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11628?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-35))\/(0 + 2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 370 - 367. Let l(n) be the second derivative of 0 + 2\/3*n**s - 6*n - 1\/6*n**4 - n**2. Determine f, given that l(f) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 2 = -2*x + 5*u, -x + 16 = -u. Suppose -31 = -3*h + 26. Calculate the greatest common divisor of h and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -313 - -104. Let w = z - -208.9999871. What is w rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7723 by 222.\nAnswer: 7723\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from kkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 117341 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -3*z**5\/20 - 17*z**4\/18 + 413*z**3\/18 - 15*z**2 + 3173*z. Factor h(i).\nAnswer: -(i - 5)*(i + 9)*(9*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4 = -2*p. Suppose -p = 5*i - 6. Let z = 5 + -2. Which is the biggest value? (a) 2\/7 (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 658 + -656. Let b = 17 - 20. What is the nearest to 0 in -0.3, p, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-38)\/8 + 366\/8. Let r = 54 - f. Suppose -2*z + 3*s = -r, 4*s = -s. What is the greatest common divisor of 18 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {t: 2, p: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 11, m: 6, w: 1}?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -1 - (73 + 44 - 131)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - r. Solve 5*t + 10 = r, -1 = 2*w + 3*t - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 126*q**2 + 237*q**2 - 118*q**2 + 7*q. Let m be u(6). Which is greater: -2\/9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2))**12\/(v**(2\/9)*(v\/(v*v**(-1)*v))\/v))\/(v**(-2\/11)\/((v\/v**(-1\/5))\/v))**(-18) assuming v is positive.\nAnswer: v**(-47\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -303 (b) 340 (c) 0.1 (d) 52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -34450*u - 551190. Calculate k(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 6901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 12:22 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 10:04 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -12. Let i = l - 1. Let y(s) = s**2 + 5*s + 5. Let v(d) = d**2 + 3*d + 3. Determine i*y(a) + 5*v(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000230923 rounded to six decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsaggugguuuuuuugu. Give prob of picking 1 g and 1 u.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 62*x - 119. What is the hundreds digit of u(-81)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 82.77635 centimeters?\nAnswer: 827763.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 smaller than 1033534\/1795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 228 + -162. Suppose 0 = 73*o - k*o - 8050. What is o rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 124775 and 392417375.\nAnswer: 392417375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 - 67. Differentiate -10*j**b + 86*j - 86*j - 13 - 7*j**4 wrt j.\nAnswer: -68*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -47*o**2 + 1414*o - 10594. Give a(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -61. Calculate the greatest common divisor of o and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1897383.5 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-156408)\/7056*24\/(-14)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/8 + 69*l**2\/8 - 15*l\/2 - 33\/2.\nAnswer: -3*(l - 22)*(l - 2)*(l + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*n - 132 = 0, 4*b - 140 = -0*b + 5*n. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12\/49 - 1371\/196. Which is smaller: -6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099208?\nAnswer: 2, 11, 12491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 3*v - 8. Let r be g(5). Let h(l) be the second derivative of 47*l**3\/3 + 5*l**2\/2 + 9*l. What are the prime factors of h(r)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11573 + 11573. Put 86, -7, 4, f in decreasing order.\nAnswer: 86, 4, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1246)\/(-267))\/(94\/(-987))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*f + 1365 = 88*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-285)\/10)\/(3\/(-2)). Let t = 76 + r. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8532017 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 276\/161*(-14)\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) 28 (c) -2 (d) -3 (e) 0.08 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -282 - -283. What is the third smallest value in -2, -1, r, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -8. Let g = 2.4744 + -0.468. Let y = g + j. Round y to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 42. Let n be (-2)\/(-2)*-1 + 29. What is the highest common divisor of n and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239345.\nAnswer: 5, 47869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/40334, 0, -0.025, -0.3?\nAnswer: 1\/40334","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**4\/12 + u**3\/6 + 51*u**2\/2 - 4*u. Is m(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u = -25. Suppose -u*y - 5*p + 35 = -0*y, 4*p - 19 = -y. Suppose y*v - v = 8. Calculate the remainder when 14 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f. Let y(d) = d**2 + 35*d + 1. Let c(w) = -85*w**2 + 14875*w + 425. Let m(g) = 4*c(g) - 1700*y(g). Calculate m(t(u)).\nAnswer: -2040*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -x + 2, 4*x - 16 = -4*u - 0. Let o = x - 43. Let a = o - -148. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(960) - -1*sqrt(960)) - sqrt(960))\/(-1*sqrt(36)\/sqrt(3) + sqrt(36)\/sqrt(12)).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-210))\/((-2)\/(-50))*(-18)\/(-42)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5044729 is divided by 1336.\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 - -169. Suppose -2*t + 4*t - v = 3*c, -t - 2*c + 44 = 0. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 4*o**2 + 5*o + 12. Suppose 100*c - 375 = 125. Calculate r(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 27972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9658195777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**3*l*(l*l**(-2\/17)*l)\/l*l*(l*l**(-1\/2))**9*((l*l\/(l**1*l))\/l)**(-2\/11)\/(l**0*l)**(13\/7) assuming l is positive.\nAnswer: l**(22795\/2618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96 - -152. What is the first derivative of -57*b**4 - 4 - 2 + m*b**4 wrt b?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -429, -422, -415?\n\"Answer: 7*z - 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -10*q**3 - 11*q**2 + 5*q - 3. Let k(a) = 12*a**3 + 12*a**2 - 6*a + 4. Determine 4*k(f) + 5*z(f).\nAnswer: -2*f**3 - 7*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 180\/18 + 5 - 14. Which is smaller: -421\/6 or m?\nAnswer: -421\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-1 + 1 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2181637?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 11*k**5\/30 - k**4\/2 - 2*k**3 + k**2. Suppose 29*d = -158 + 13. Let s(i) = 9*i**2 - 5*i - 5. What is d*c(b) + 12*s(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 4:14 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2730 + 11615. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1, 2\/7, 360\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2004, -3758, -5524, -7302, -9092, -10894, -12708?\n\"Answer: -6*m**2 - 1736*m - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 963 in descending order.\nAnswer: 963, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*s - 3*s - 3, -4*a - 4*s + 24 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g\/(g**3\/g*g)))\/g)\/(g*g**(-2\/11)))**39*(g**(-1)*g)**(16\/9)\/(g**(-2\/3))**(-49) assuming g is positive.\nAnswer: g**(1730\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/((70\/140)\/((-14)\/700))?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -824 + 747.6. Let i = t - -95. Round i to zero decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94692942 > 94692942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-7)\/(-1) + (-191 - -200)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4691060 + 0.2.\nAnswer: -4691059.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143 + 224. Let v = -83 + f. Let m = 9 - 4. Sort 3, m, v in ascending order.\nAnswer: v, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/4, 129840 in descending order.\nAnswer: 129840, 3\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poopddapwp. Give prob of picking 1 w, 1 a, and 1 o.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 3*h + 5*h)*(45097*h**4 - 1 - 21341*h**4 - 21029*h**4).\nAnswer: -5454*h**5 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.66, -2, -1 in decreasing order.\nAnswer: 2.66, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 + 2*v**4 - v**4 + (-v**3 + v**3 - 2*v**4)*(1 + 1 + 0) + (1 + 5 - 3)*(4*v**3 - 10*v**4 - 4*v**3) as i + m*v**4 + k*v**2 + z*v + a*v**3 and give m.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/2181298 and 121\/1179080.\nAnswer: 43625960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/425*(-1)\/4*-5)\/((-10)\/(-1325)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -192 + 1341\/7. Let w = 234 + -377. Let o = w - -142.6. Which is the biggest value? (a) o (b) i (c) -1\/4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 8*s - 29. Let f(q) = 4*q**2 + 15*q - 58. Let v(n) = -5*a(n) + 3*f(n). Does 12 divide v(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1089 - 946. What is the lowest common multiple of 26 and h?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**8\/336 - h**7\/105 + h**5\/30 - h**4\/24 - h**2 - 13*h. Let x(g) be the first derivative of z(g). Factor x(f).\nAnswer: f*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q**3 - 3*q**3 + q**4)*(-2 + 3 - 4) + q**4 + 0*q**4 - 4*q**4 - 4*q**4 - 4*q**4 + 6*q**4 in the form u*q**2 + z + i*q**3 + m*q**4 + c*q and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3225072 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -176362550 divided by -6071?\nAnswer: 29050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2863 times 0.2?\nAnswer: 572.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 905*a + 206*a - 1520*a + 199*a + 204*a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 11 - 22 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-80)\/198 + 32\/176. Let w(p) = p**3 + 5*p**2 - p - 5. Let g be w(-5). Let h be (4\/4 - 0) + 32\/(-40). Which is the nearest to g? (a) y (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 - -67.81. Let n = q + -70. Let u = -95\/3 + 31. Sort u, -1\/4, n in descending order.\nAnswer: -1\/4, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 1}. Give prob of picking 1 c and 1 i.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 39*n**2 + 49*n + 208. Let a be l(-4). What is the highest common factor of a and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3)\/2)*242\/((-34364)\/4047)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102200300213 + 110?\nAnswer: -102200300103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.3071 and -406.\nAnswer: 2560.6826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6*x*x**0*x\/(x\/(((x\/((x\/x**(-4))\/x))\/x*x)\/x*x))*x\/x**3)**(-2\/19) assuming x is positive.\nAnswer: x**(-4\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(297)\/(sqrt(27)\/sqrt(3)))\/sqrt(11))**2.\nAnswer: 10*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -3, -8115*j + 8114*j + 7*u - 10 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 a factor of 2169583509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmieimfwffiitimitfww. Give prob of sequence tmfi.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 23*c**2. Let y(a) be the first derivative of 27*a**2\/2 - 2*a - 787. Determine y(o(z)).\nAnswer: 621*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14362115 divided by 3.\nAnswer: -14362115\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sseeseseesss. What is prob of sequence ee?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 2:13 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 7083998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooomojoyoboibbmj. Give prob of picking 1 o and 1 j.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32799\/10 + -3281. What is the common denominator of g and ((-2)\/8)\/((-2)\/31)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*s - 187*s + 16 = 0. Let y(a) = s*a**2 - 34*a - 2 + 102*a - 30*a - 29*a + 4. Let w = 1 - 7. Let k(x) = -2*x**2 - 5*x - 1. Calculate w*y(f) - 11*k(f).\nAnswer: -2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 1. Let h = n + 1. Find the third derivative of t**6 - t**2 + h*t**2 + 2*t**2 wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 206*r**2 - 6*r - 569. Determine v(-206).\nAnswer: 667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 1 + 4 + 6*i**2 + 0. Let s(a) = -2 + 2*a**2 - 13*a**2 + a + 6*a**2. What is -2*k(g) - 3*s(g)?\nAnswer: 3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 571 = 1205. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/((-3)\/(-6) - 0). Let i = 166\/3 + p. Let o = -337 - -6401\/19. What is the closest to -1 in i, o, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122 - -112?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1129820, 2259642, 3389464, 4519286, 5649108?\nAnswer: 6778930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let j(m) = 5*m - 2. Let x(y) = 2*f(y) - j(y). Suppose 0 = 3034*g - 3027*g - 119. Let v(i) = -20*i + 6. Determine g*x(s) - 6*v(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1641\/36 - (-2)\/3. Let p = z - 3137\/68. Which is the third smallest value? (a) 0.2 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**3 - 42*i**2 + 42*i + 31. Is l(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 2*d + 86. Let s be l(0). Suppose 0 = -5*g + 5, 5*r + 4*g = 155 + 99. Let t = s - r. Is t less than or equal to 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4*j = -4, -8*h + 10 = -4*h - 2*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -145, -170, -197, -226?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1189 + -681. Calculate the least common multiple of h and 508.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -2. Let j be -3*1\/2*h. Factor -2*a**5 + 3*a + 3*a**4 + j*a**5 - 2*a**3 - 2*a**2 - 2*a**5 - 1.\nAnswer: -(a - 1)**4*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6748 + 2848?\nAnswer: 9394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000025533936 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**4\/4 - 9*s. Let n(o) be the first derivative of -3*o**2\/2 + 1. What is x(n(z))?\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y. Let j(t) be the first derivative of 5*t**3 + t**2 + 78. What is j(p(a))?\nAnswer: 15*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-10)*61\/(-549).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -25158*o**2 + 8*o - 10. Let v be j(-5). Round v to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -17*v**3 + 4*v - 5. Let l(o) = 1 + 0*o**3 + 12*o**3 + o**3 - 2*o - 4*o**3 + 1. Determine -5*l(q) - 2*m(q).\nAnswer: -11*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4780 and 313334975?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724746?\nAnswer: 2, 3, 11, 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31, 59, 89, 121?\n\"Answer: z**2 + 25*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -81.06. Let j = 0.06 - m. Let l(u) = 3*u + 11. Let g be l(-5). Which is the third biggest value? (a) 0.2 (b) g (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*u - 20, 5*u + 4 = -2*j + 3*u. Let l(q) = 8*q - 4*q - 4 - 6*q. What is the units digit of l(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 180 = 5*u, 3*y - 6*u = -2*u + 80. Suppose -2*f + 70 = 6. Let q(m) = y - m - f. Let z(k) = -2*k**2. Give z(q(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 less than 104555.067?\nAnswer: 104059.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 2*g**2 + 0*g**2)*(-3*g + 3*g + 2*g) - g**3 + 5*g**3 - g**3 + 2*g**3 - 5*g**3 + 5*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d**3 - 4*d**2 - 4*d - 4. Let x(t) = -85*t**3 - 55*t**2 - 55*t - 55. What is -55*r(b) + 4*x(b)?\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*b**5 + 253*b**4 - 383*b**3 - 37109*b**2 - 25*b.\nAnswer: 2880*b**2 + 6072*b - 2298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l**2. Let m(w) be the first derivative of w**4\/24 + 2*w**2 + 10. Let h(x) be the second derivative of m(x). Give h(v(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 4*w - 49, -3*h + 29 = -84*w + 86*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x**2 - 12*x + 12*x - 3*x**4)*(1 - 3 - 8) in the form y*x**2 + v*x**3 + d + p*x**4 + l*x and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20068639, -20068638, -20068637, -20068636, -20068635, -20068634?\n\"Answer: j - 20068640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 6*y**2 - 7*y + 9. Let n be u(-7). Let v = -14 + n. Let b(r) = r**2 + r - 3. Does 15 divide b(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + h - 10. What are the prime factors of p(8)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.1212ug in grams?\nAnswer: 0.0001131212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8676 + 0.9. Let b = q + -0.025. What is b rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -1d7165ad?\nAnswer: 1d7165aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 15941.64 to the nearest ten.\nAnswer: 15940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3*(-7)\/(6083\/474)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120.375 + -120. Let k = z + -0.475. Which is the nearest to 0.2? (a) 61 (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(4\/3))**27*a\/(a*(a*(a\/a**(1\/57))\/a)\/a*a)*a**(-2\/27) assuming a is positive.\nAnswer: a**(31777\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 7142868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/38 + 29\/380. Let f(z) be the second derivative of a*z**5 + 0 + 1\/2*z**2 + 2*z - 1\/6*z**3 - 1\/12*z**4. Find c, given that f(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 9) + (191 - 188).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.845 and -6.18.\nAnswer: 60.8421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 6:36 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1151*z**2 + 1261*z**2 - 2412*z**2 + 6*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**3 + 2343 - q**4 - 30*q**2 - 2523 + 58*q**2 - 29*q**2 in the form g*q**3 + m*q**4 + u + i*q + t*q**2 and give u.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008720201 rounded to seven decimal places?\nAnswer: 0.0000872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 24*r**3 - 7*r**2 + 8*r + 4. What are the prime factors of a(2)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2550, 5087, 7626, 10167, 12710?\n\"Answer: q**2 + 2534*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3546 and 2317902.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2250 = -5*i - 6*z, -5*i + 2285 = -3*z. List the prime factors of i.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 38*y**3 - 12*y**2 + 3*y - 6. Let v(q) = -q**3 - 4*q**2 + q - 1. What is -j(f) + 3*v(f)?\nAnswer: -41*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41448 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -732362 (base 8) to base 7\nAnswer: -2031152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**5\/15 + 25*b**4\/2 + 148*b**3\/3 - 3057*b**2. Factor c(i).\nAnswer: 4*(i + 1)*(i + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10447.\nAnswer: 31, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -315 - 5133?\nAnswer: -5452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 101093*h - 1516399. Give g(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -729 - -741. What is the second derivative of -z*a**4 + 257*a + 6*a**3 - 140 - 256*a - 3*a**3 wrt a?\nAnswer: -144*a**2 + 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-7*a - 6*a + 0*a)*(-2*a**4 + 0*a**4 + 9*a**4).\nAnswer: -91*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.478 to 1 decimal place.\nAnswer: -35.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/(-66 + 834\/12)*-27.\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 11:50 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5284091 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 29.064357 months?\nAnswer: 0.00242202975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 + -1. Let r = -12 - -11.5. Which is the nearest to i? (a) 1\/5 (b) r (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37979676 and 1537?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 515918, 1031952, 1547986, 2064020, 2580054, 3096088?\n\"Answer: 516034*u - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3893, -3917, -3987, -4127, -4361, -4713?\n\"Answer: -4*u**3 + u**2 + u - 3891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46.13133l?\nAnswer: 46131.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - 8 - (249 + -243)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*c - 8 = -5*b, -2*b = 5*c - 23 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*q - 1103990 = 0, 3*q = d + 147766 + 128240. What is d rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4272 - -4522. Let c be -1*25*4\/(-2). What is the greatest common factor of d and c?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(396) - (sqrt(396) + sqrt(396) + 1*sqrt(396) + -4) - sqrt(396)) + sqrt(396) + -4)**2 + 0).\nAnswer: 9504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - 16*q + 880966*q**2 - 4*q - 15*q**4 - 880970*q**2 to k*q**4 + b*q + a + y*q**3 + s*q**2 and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1 - (-12 - -17)) + 15\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10.7 * -3\nAnswer: 32.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 + -c2ad27?\nAnswer: -c2ad3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 + 103*u - 163. Calculate b(-28).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/4)*i)\/i**(5\/3) assuming i is positive.\nAnswer: i**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*f - 36. Let y(t) = -t**3 - 2*t**2 + 25*t + 2. Let w be y(-6). Is (2\/w)\/(f\/(-154)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28.4 - -42. Let x = 12.9514832 + -26.5514643. Let s = x + c. Round s to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1437, -2867, -4297, -5727, -7157?\n\"Answer: -1430*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -3*m - 18. Is (m\/(-6))\/(-1) + (-8770)\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5855 = -11*u + 16*u + 3*h, 7024 = 6*u + 4*h. Calculate the remainder when 2351 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 45, 10 in decreasing order.\nAnswer: 45, 10, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 917, 2446, 4993, 8558?\n\"Answer: 509*l**2 + 2*l + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9329512343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -199 - -340. Suppose 5*c - j = 179. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -149, -97, -7, 133?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 187747506 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 3. Let h(i) = -5*i**2 - 6*i + 23. Let o(q) = 6*g(q) + h(q). Let c be -1*1 + 11 + -3. Determine o(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001548015 rounded to six decimal places?\nAnswer: -0.001548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 6. Suppose u - 6 = -2*x, i = 6*x - x - 5*u - 30. Suppose 2*g + v = -0*v + 36, 4*g = x*v + 48. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -846, -1902, -3380, -5280, -7602, -10346?\nAnswer: -13512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-40)*w*w*(w\/w**(-17))\/w)\/(w**(-6\/5))**(-7\/4) assuming w is positive.\nAnswer: w**(-221\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4040 and 684?\nAnswer: 2763360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30068, -30045, -30008, -29951, -29868?\n\"Answer: g**3 + g**2 + 13*g - 30083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -29, -39, -49, -59?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 z when three letters picked without replacement from {z: 4, c: 16}.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1168\/24 + (-1)\/(-3). Find the third derivative of 28*v**4 - 13*v**2 - w*v**4 + 33*v**4 wrt v.\nAnswer: 288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 5:05 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -1\/15*x**5 + 0*x - 5*x**2 - 4\/3*x**3 + 1\/2*x**4 + 0. What is z in s(z) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14280*c*n*u**2 - 16*c*n - 10288956*c*u**3 - 3*c*u**2 + 2*n*u**3 - 3*n*u**2 wrt u?\nAnswer: -61733736*c + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 58576019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 106*c**2 + 6*c - 3. Let j be v(-1). Which is bigger: 17 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431*c + 518*c + 259*c - 310*c.\nAnswer: 898*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221001020200222 - 12?\nAnswer: 1221001020200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/3*53328\/(-880). What is the highest common divisor of j and 2525?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvzzzvlvvlzlv. What is prob of picking 1 v and 1 l?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Suppose q = -4*s + 23, -3*q = p*s - 5 - 24. Suppose -2*h + 5 = -q. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2. Let l(g) be the third derivative of 0 + 58*g**2 + 0*g + 17\/4*g**4 + 1\/6*g**3. What is r(l(y))?\nAnswer: -10404*y**2 - 204*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3649 + 3649 - 3*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 1 + y + 0*y**2 - y**3 + 2*y**3. Let n(c) = 12*c**3 - 16*c**2 + 14*c - 10. Let b(m) = -n(m) + 10*x(m). Factor b(u).\nAnswer: -2*u*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-678)\/(-90) + -6 - (-12)\/(-9)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (20 + 22 - 50) - 148?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 12045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*831\nAnswer: 16.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(4\/(-12))\/1. Solve 8 = v + 3*o - o, 3*o - 6 = k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4384 divided by 2804?\nAnswer: 1096\/701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 62*u**2 - 320*u + 1274. What is k(-56)?\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 + 42432464*k\/3 + 225064250138912\/3.\nAnswer: 2*(k + 10608116)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 93*m + 35. Is z(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-1040)\/(-168))\/(70\/196).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 12:22 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b = -98*b - 7*b. Solve b = -o - 3, -3*o - 11 = 2*c - c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2551, 1, -3 in increasing order.\nAnswer: -2551, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6613 + -4?\nAnswer: -6620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17142*v**3 + 24765*v**3 + 2 + 1 - 2.\nAnswer: 41907*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/((-14)\/6)*(-82411)\/70638*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 20 + 11\/(77\/28). Suppose -l*g + 6439 = -22*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-87*9\/270)\/((-2)\/20). Let k = 334 - 218. Calculate the highest common factor of o and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17235 divided by 15.\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348*r - 18 = 345*r + 3*k, k + 5 = 0. Put 2, 5, r, -4, -3 in increasing order.\nAnswer: -4, -3, r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, d: 9}. Give prob of sequence ddrd.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16985 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 44. Let j = 2 + -2. Suppose y - 3 - 2 = j. Put 0, c, y in descending order.\nAnswer: y, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 + 6. Let q(z) = 30 - 14 - 26 - 2 - 4*z**2. Calculate 11*o(g) + 6*q(g).\nAnswer: -2*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 14 = -3*v, -2*s - 272*v = -273*v. Let o(f) = -3*f**2 + 2*f. Calculate o(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/14)\/(7830\/10150 + (-4)\/(-5))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a - 2. Suppose -v - 20 = -5*v. Let d(h) = -h. Determine v*d(g) + w(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v + 54 = -5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -1.2609\nAnswer: 0.37827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 77031 = 116298. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/338*-1)\/(6\/24).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 + (-17594)\/4. Let f = d + 7410. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9650, -9499, -9352, -9215, -9094, -8995, -8924?\nAnswer: -8887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 3:29 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1896)\/17380*30\/9\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 10*t**2 - 31*t - 46. What are the prime factors of y(-12)?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 12*q + 0*q)*(-3 + 0 + 2) - 3*q + 5*q - 3*q + (2*q - 3*q + 3*q)*(-1 + 2 + 1)*(0 - 1 + 2).\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, 1\/3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.668 and 19.538.\nAnswer: 91.203384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -4\/21, -2\/21, -109.5?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -158de4 (base 15) in base 11?\nAnswer: -652394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -18436305 not equal to -92181519\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 217277623 to the power of 1\/2, to the nearest integer?\nAnswer: 14740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2140200, 2140165, 2140128, 2140089, 2140048, 2140005, 2139960?\n\"Answer: -k**2 - 32*k + 2140233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5894394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*n**3 - 68*n**2 + 45*n**3 + 12*n**3 - 126*n + n**4 + 2*n**4 - 25*n**2.\nAnswer: 3*n*(n - 3)*(n + 1)*(n + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 6:29 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7034*o**3*r**2 + o**2*r**2 + o**2*r - 2013*o wrt o.\nAnswer: 42204*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -19 - -13 - -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 22. Let m(v) = -1152*v + 1232. What is -112*a(k) + 2*m(k)?\nAnswer: -2416*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 8*f + 2. Let y(w) = 41*w + 10. Suppose -17*x = -9*x - 16. Let s(q) = x*y(q) - 11*t(q). What is s(3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 7*i = 0. Let o be 1\/(-1) + 0 + 7. Suppose o + 0 = -3*q. Is q > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 2*v - 37, 6*m + 2*v + 19 = 45 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 3. Suppose -4*g = -7 - 5. Suppose 0 = z + g*z - 56. Calculate the remainder when z is divided by x(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.16 - 25.003. Let v = 0.157 - t. Which is the smallest value? (a) -97 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-88 - (-52 - 75))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 441137701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4678.\nAnswer: 2, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 48*c + 2. Let z be r(1). Calculate the greatest common factor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 14*m + 44. Let c be x(-10). Suppose 0 = 5*w - 19*s + 14*s - 375, -197 = -3*w - c*s. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1920219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 - -1. Is 17 a factor of (-4)\/(-12) + g\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 5, z: 1, o: 1, m: 2}. What is prob of sequence mzp?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 12*f. Let m(x) = -31*x + 169. Calculate j(m(l)).\nAnswer: -372*l + 2028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*u + 8*u + 17*u + 23*u)*(0*u**2 + u**2 - 2*u**2).\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2453078 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-3)*(-261)\/(-174)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.4 - 10. Let z = r - 2.95. Let n = z - -0.05. Which is the closest to -1\/2? (a) 1 (b) 0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6436721.98 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 22*z + 140. Let k be w(-27). Put 42, 2, k in ascending order.\nAnswer: 2, k, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(((-18)\/(-20))\/3). Let p(g) be the second derivative of -g**4\/12 - 7*g**3\/3 - 4*g**2 - 16*g - 4. List the prime factors of p(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*h - 1)*(-2*h + h + 3*h) + (2*h + 6*h - 3*h)*(2 - 2 + h).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 725747 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 149158553 and 415.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29957 less than 11.886?\nAnswer: 29968.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + h**2 + 1. Suppose 4 = -4*r + 2*r. Let m(w) = -w**4 - 2*w**3 + 5*w**2 - 2*w + 2. Let z(p) = r*j(p) + m(p). Find d, given that z(d) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 33*u = -31*u + 39812, 59717 = 3*y - 4*u. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/18)\/11*4\/(-3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*j - 85*j - 100*j - 142*j + 433*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 55 + -18?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2331688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 987951527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 15, 8*h - 4*y + 32 = 11*h. Solve 0 = h*j - 3*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46 + -61838?\nAnswer: -61782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7365 and 0.11?\nAnswer: 0.191015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 9:29 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1143 + 153 = 108*i. What is the highest common factor of 2836 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 3*k**5\/5 + 9*k**4 + 45*k**3 + 75*k**2 - 130. Factor b(t).\nAnswer: 3*t*(t + 2)*(t + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p = -23*p + 2*j + 6180, j = p - 6174. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469199?\nAnswer: 3, 489733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.20513 rounded to 1 dp?\nAnswer: 110.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 12. Let q be f(-2). Let y be (1326\/85)\/(3\/q). Do y and -262\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1110555)\/(-111))\/87)\/(-25)\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -4. Let b be 7\/3 - l\/(-6). Let d(r) = 2*r**2 - 2*r + 1. What is the units digit of d(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2. Let u(l) = -152*l + 178*l + 267*l. Determine f(u(t)).\nAnswer: 85849*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -721 - 2223 = -128*x for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.257 - 3.233. Let p = 1.51 - n. What is the third biggest value in p, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-18))\/(2\/(-9)*-1). Let p be (-2)\/g - (-600)\/36. Let f = p + -11. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 216*i**2 + 2212*i + 2851*i - 5063*i. Let k(m) be the second derivative of m**3\/6 + m. Calculate a(k(z)).\nAnswer: 216*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + a7ca2aa?\nAnswer: a7ca2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 2*u - 20 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5420 - -5417. Let a = -9 + 46\/5. Put a, z, 4, 3 in ascending order.\nAnswer: z, a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 30389270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 49265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*g**2*p**4 - 9*g**2*p + 32*g*p - 8*p**5 wrt p.\nAnswer: -204*g**2*p**2 - 160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/4)\/((-3)\/140). Let k = -30 + a. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294 divided by 98.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64215*r**2 - 5*r - 320?\nAnswer: -128430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3062*z - 27 + 421*z + 27 - 1351*z in the form v*z + k and give v.\nAnswer: -3992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84404 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -0.3 (b) -59 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148010 and 2812190.\nAnswer: 2812190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/15 - 5661776*j\/15 + 4006963434272\/15.\nAnswer: 2*(j - 1415444)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 0.1, -15001, -2, -0.01?\nAnswer: -15001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**5 + p**2 - p**5 - 3*p**5 + (p**5 - 4*p**5 - p**5)*(2 + 1 - 4).\nAnswer: 5*p**5 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4791276, 4791234, 4791192, 4791150, 4791108, 4791066?\n\"Answer: -42*j + 4791318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(4\/3)*n)\/n**(-1\/2))**13 assuming n is positive.\nAnswer: n**(91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*2\/8)\/((-1)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38058 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 5*n + 6169 - 32151 = 0. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130494671.\nAnswer: 37, 1877, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230249993045*g + 230249993045*g - 10*g**3 + 2.\nAnswer: -10*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 30 + 34\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/115276 and -99\/3220?\nAnswer: 576380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4858447219.\nAnswer: 4858447219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59910824 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 10:07 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -943527.9891 rounded to the nearest one thousand?\nAnswer: -944000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnmmumjmummunujmmmmm. What is prob of sequence uj?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -22, -7, 1\/9, -5\/3, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.9 + -15.9. Suppose 4*h - 4*p + 72 = 0, 0 = -3*h + 18*p - 14*p - 59. What is the fourth biggest value in t, h, 2\/7, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**5\/7 - 1257568*p**4\/7 - 14119973499*p**3 + 395375292119*p**2\/7 - 321244802464*p\/7 + 74133633612\/7 = 0?\nAnswer: -157198, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -5, 4, -213867?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6132535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-7)*(-10864)\/(-19400)?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.3 + -10. Let z = o - 2.3. Which is the closest to -0.1? (a) -3\/2 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -149 + 230. Is w a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/9 - 6\/(-9). Suppose y*j - 5*z = 131, 2*j = -z - 4*z + 54. Calculate the remainder when j is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/(-117)*315\/1785?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -3. Let i(s) = 12*s**2 + 3*s + 3. Does 8 divide i(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -0.5. Let o = -1 - -5. What is the third biggest value in -1\/5, n, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**2 - 18*j*p**3 + j - 46*p**3 wrt j?\nAnswer: -4*j - 18*p**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60589 - 60588.9972783. Round b to four decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(126)*-1 - sqrt(126))*-1 + sqrt(126) + -4*sqrt(126)*1 + sqrt(126))*-2)\/(6*-1*(sqrt(242) - -3*(sqrt(242)*-1 - sqrt(242)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = 10*f + 60. Let m = 65 + 54. Calculate the remainder when m is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 174, 625, 1376, 2427, 3778, 5429?\n\"Answer: 150*r**2 + r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15954 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 350210908 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414.9308kg to nanograms.\nAnswer: 414930800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145 < 1146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 327\nAnswer: -2\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 189 = -3*n + 75, 0 = -2*n + 8. Calculate the remainder when z is divided by 46.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxiivxvnxixxnxxii. What is prob of sequence niv?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:49 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1520)\/81225*-38)\/(4\/6).\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Let h(c) = 43*c - 170. Let s be h(4). What is the highest common factor of j and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252693 + 252668 + 2*q**3 - 3*q**3.\nAnswer: -q**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10026133 and 839417?\nAnswer: 4261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*sqrt(405))**2*-3 + sqrt(405) + 0 + (-5*sqrt(405)*-2 - -3*(sqrt(405) + sqrt(405) + -2 + sqrt(405)))**2.\nAnswer: -2043*sqrt(5) + 135309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6 = 2*t, 5*t + i = -2*i + 15. Let y(u) = 23*u - 4. Is 21 a factor of y(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/4 (b) -4 (c) -3\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/(-45))\/(1\/3). Let g = 90 + -38. Let z = g + -57. Put z, q, 0.5 in decreasing order.\nAnswer: 0.5, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m - 2776 - 1442 - 205 = -1642 for m.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5835870.3*-0.5.\nAnswer: -2917935.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3*w + 4)*(-2 + 3 + 3)*(127*w**3 + 44*w**2 - 44*w**2).\nAnswer: -1524*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 627046+-13\nAnswer: 627033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 0*t - 2*t = -11, -z + 3*t = 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109.41954 - 109.39. What is n rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/9)*p**(-20) assuming p is positive.\nAnswer: p**(-179\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(432) - -1*sqrt(432)))**2 - (sqrt(324)\/sqrt(6))\/sqrt(3).\nAnswer: -3*sqrt(2) + 1\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-6))\/(-7) + (-10)\/15.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -27.\nAnswer: -27, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.85 + 0.55. Let l = 4.09 + -4.29. Is q smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 69*g. Let l = 687 + -688. Let a(u) = -2*u - 1. Let x(z) = -2*z**2 + 20*z + 10. Let h(n) = l*x(n) - 10*a(n). What is j(h(o))?\nAnswer: 138*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2205 - 2146. Calculate the remainder when b is divided by ((-126)\/15)\/((-2)\/5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(11) + -2*sqrt(891) + sqrt(891) - (sqrt(11) - 2*(sqrt(11) + -1))))**2.\nAnswer: 28*sqrt(11) + 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, 0.08, -0.2, 0.5, 13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -30. Let k(s) = -s**2 - 7*s - 3. Let z(n) = -2*n**2 - 14*n - 6. Let c(q) = 7*k(q) - 4*z(q). Calculate c(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7 + r**2 + 5 + 0*r - 11*r. Let w be u(10). Let j(x) = 0*x**2 - 3*x + 3*x + x**w. Let t(p) = -2*p. Give j(t(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -863, -0.3, -3, -2 in descending order.\nAnswer: 3\/5, -0.3, -2, -3, -863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 72, 142, 212, 282?\n\"Answer: 70*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4743*r**2 + 897*r + 3688165 wrt r?\nAnswer: 9486*r + 897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6*l - 2)*((11 + 8 - 7)*(2*l - 2*l + 2*l) + 7*l + 31 - 31).\nAnswer: 186*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5011 - 46787*b - 5007 + 15022 - 5004.\nAnswer: -46787*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/230 and 107\/168.\nAnswer: 19320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -201*m**4 + 38*m + 259427.\nAnswer: -804*m**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 2*j + 2. Let q be n(2). Suppose -5 = -0*d - 3*d + 2*a, 22 = 4*d + 5*a. Let h = d + q. What is the third biggest value in h, -5, -3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 323 - -22?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 4*j**6\/3 + 36*j**5\/5 + 12*j**4 + 16*j**3\/3 + 41. Find f, given that d(f) = 0.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 - 54 - (-115 + 139)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1090 - -11988\/11. Sort 2\/29, 0, -0.2, x in increasing order.\nAnswer: -0.2, x, 0, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6181, 21568, 46185, 80026, 123085, 175356, 236833?\nAnswer: 307510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 5*a**2 + 6*a - a - 12*a**2 + 10*a**2 + 8. Determine d(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**6\/1380 - 7*i**4\/276 - 2*i**3\/23 - 6*i**2 - 14. Factor w(h).\nAnswer: 2*(h - 3)*(h + 1)*(h + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -197 + 202. Let i be (-6 + 1)\/1*3\/s. Which is greater: i or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3170762.\nAnswer: 2, 7, 226483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 15604*w**3 - 30910*w**2 - 596*w = 0.\nAnswer: -149\/7802, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337603715?\nAnswer: 5, 67520743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/80 and ((-142)\/5)\/((-6528)\/(-102))?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0734 * 74.4.\nAnswer: -5.46096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -9 - 11) + 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*j**3 - 5*j**2 - 15*j - 1 wrt j?\nAnswer: 228*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l. Let z(u) = -33*u**2. Give z(y(b)).\nAnswer: -297*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**2*h))*h)**(3\/17)\/(h*h**5*h**(1\/2)) assuming h is positive.\nAnswer: h**(-197\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + -2 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -201*n*r**2*v - 35*n*v - r**3*v + 2*r*v - 7*v with respect to r.\nAnswer: -402*n*r*v - 3*r**2*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(77) + -1*(-2*sqrt(77) - sqrt(77)) + 3*1*sqrt(77))\/(-2*-2*sqrt(175)) + 0)**2.\nAnswer: -539\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.51 + 0.01. Let n = 3.61 + v. Let l = -0.61 + n. What is the closest to -0.2 in -0.3, 2\/5, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -709*h - 608*h - 116*h.\nAnswer: -1433*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 31*n**2 + 2*n - 1. Suppose 0 = 3*z - 7*z + 4. Let s be u(z). Find the third derivative of -3*k**2 + s*k**5 + 0*k**2 - 24*k**5 wrt k.\nAnswer: 480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**4\/12 - t**3\/2 + 5*t. Let f be b(-5). Let s be (25\/f)\/(2\/(-4)). Solve w = -4*w + s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1951*u - 3*u = -98*u + 126852 for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/672*-7*(-1)\/((-1)\/(-15))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 0*q**2 + 118 + 0*q + 5\/3*q**3. Let x(z) = 40*z. Give x(s(w)).\nAnswer: 200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 24*x + 95. Determine p(20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 6 + 6. Suppose -l*a = -2 - 4, u - 5*a + 11 = 0. Solve u*i - 1 + 21 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - -24)\/(-6) + -181. Let h = 202 + u. Calculate the remainder when 66 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**4\/3 + 59924*b**3\/3 - 159359512*b**2 + 430368077420*b\/3 - 429890058806\/3 = 0.\nAnswer: 1, 1027, 14467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -462 + 460. Let a(b) = -183*b + 1. What are the prime factors of a(o)?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97971 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**3\/((((((f*(f**(2\/7)\/f)\/f)\/f)\/f)\/f)\/f)\/f))**27)**(2\/7))**(-33) assuming f is positive.\nAnswer: f**(-108702\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 12) in base 13?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 + s**3 - 4*s**3)*(0*s - 6*s - 2*s).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*p - 30*p + 22*p.\nAnswer: -43*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3699.217752 rounded to the nearest ten?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13711, 26346, 38979, 51610, 64239, 76866?\n\"Answer: -h**2 + 12638*h + 1074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 4*m - 4*m. Let h(j) be the second derivative of 63*j**3 - 925*j. Give h(u(t)).\nAnswer: 756*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 394.847 days to seconds.\nAnswer: 34114780.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6 + 12 = 2*u, -u - 3*v = 5. Suppose u*i - 1139 + 299 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381240 divided by -30?\nAnswer: -12708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -142 + -8a?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -519, -173, 171, 513, 853, 1191?\nAnswer: 1527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide (-2)\/(-3) + (-18064)\/(-432)*9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -241 by 8256.\nAnswer: -241\/8256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 15*r + 69. Determine v(-13).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 6 = 20*v - 1 - 17, -12*n - 72 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -58317251.\nAnswer: -58317251.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7 and -0.33252557.\nAnswer: -7.33252557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*u + 21 = -6*u, -u - 2 = 0. Let m be 9\/3 + (-3 - c - 3). Suppose m = -5*b + 18 + 27. Solve 11 = 4*l - k + 30, k = -3*l - b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 31, 92, 197, 358, 587, 896, 1297?\nAnswer: 1802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 415182405 a multiple of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*-1*((sqrt(325)*-1 - sqrt(325)) + -4 - (sqrt(325)*2 - sqrt(325))*3))**2.\nAnswer: 1200*sqrt(13) + 32644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -621 (c) -0.1 (d) -3090\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**2 - 2. Let b(k) = -8*k**2 + 3. Let r(z) = 2*b(z) + 3*w(z). Let m(n) = -3*n + 77. What is r(m(j))?\nAnswer: 18*j**2 - 924*j + 11858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.07 and 2\/3307695 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 18 = -2*r. Let p be 1 + r\/((-18)\/(-4)). Let s = 23.2 - 23.4. Which is the closest to 3? (a) s (b) -0.7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25912056.\nAnswer: 2, 3, 1079669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 258515 divided by -27\nAnswer: -258515\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*o + 33*o + 211*o + 186*o + 2*o**2 in the form z*o + x + p*o**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7902648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*a + 6*a. What is the units digit of 32\/6 + (-10)\/a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 4*y + 1. Let z be k(5). Let o be 2\/z - (-21)\/6. What is the first derivative of -5*c**2 + 0*c**3 - c**o + 5*c**2 + 5 wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*q + 0 + 0 + 53*q - 24*q.\nAnswer: 64*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 = -2*j. Suppose 24*c + 0*c - 96 = 0. Suppose c*d = 3*a + 42, -3*a + 14 = d - 2*a. Solve -j*p + 4*s = 4, -5*s + d = -3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a factor of 416064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -27*d + 243. Let t be a(9). Solve 3*q - 19 = 3*r - 25, -5*r - q - 20 = t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 13 - (-44 + 76).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27.4157*28.\nAnswer: -767.6396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57738019, 57738017, 57738015, 57738013?\nAnswer: 57738011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*j + 3*w + 18, 2*j + 2*w = -16. Let m(b) = -b**3 - 3*b**2 + 3*b. Let s(h) = h**2 - h - 1. What is j*s(x) - m(x)?\nAnswer: x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -92*c + 21?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 97724603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (260\/(-208))\/((-10)\/4). Let z(r) be the first derivative of r + 7\/4*r**2 + v*r**3 - 15. Find g, given that z(g) = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790 is divided by 140.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 5:53 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.73, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 - (-4 + (-3 - -8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335.136 kilometers to micrometers.\nAnswer: 335136000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -17*o - 7*o**3 + 9*o**2 - 21 + 14*o**3 - 6*o**3. List the prime factors of h(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15\/8 (b) -48 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8494 + -8491. Solve 0 = -z*o, 21*f = 26*f - 4*o - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-105)\/24)\/7 - -1. What is the closest to -0.1 in k, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 209. Is d(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**21*((q*q\/((q\/(q*(q\/(q*q**(-23)))\/q*q))\/q)*q)\/q)\/q*q assuming q is positive.\nAnswer: q**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -709*m - 83 wrt m.\nAnswer: -709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -475.924 and -560?\nAnswer: 266517.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 169 in -2\/29, -1\/2, 81.8?\nAnswer: 81.8","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5 = 0, 7 = m - 6*s + 8*s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -569 + 424. Let r = 145.01744 + j. Round r to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 325105 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38960*o**2 + 50830 with respect to o.\nAnswer: -77920*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + b - 6. Let n be 0 + b*(-4)\/6. Differentiate 1 + 5*h**n + 4 - 9*h**2 with respect to h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -91, -169, -285, -451?\nAnswer: -679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 + 3*b - 3. Let w = -12732 + 12761. What is the remainder when n(-7) is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 28*u - 45 = 33*u, 4*f = -5*u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*g - 50*g + 2 + 7*g + 3.\nAnswer: 7*g + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from vdvjjddvdddddvdv?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7\/13, -1, -2, 153?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgjjwggkgkgjjvgv. What is prob of sequence vjv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0907 equal to -2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -64 - (-38 + 35) - (-6 - 0 - 4)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Suppose -n*q = q - 27. Suppose 0 = 4*u - q*u + 30. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1958 + 0.4\nAnswer: 0.5958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6102217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1465, 1466, 1467, 1468, 1469?\n\"Answer: y + 1464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s + 22. Let h be n(-9). Suppose -2*c = h*a - 422, 2*a - 7*a - 4*c = -535. What are the prime factors of a?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-7))\/(2\/(-14)). Find the common denominator of -23\/8 and 254\/40 + (0 - v).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*l - w, l - w - 3*w + 18 = 0. Factor -16*r - 6*r**4 - r**4 - 8*r**l + r**4 + 20*r**3.\nAnswer: -2*r*(r - 2)**2*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -2)*15\/(-105).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-176) + (-17)\/(-68)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 2158187383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-261)\/54 + 7\/(-42) + (-1302)\/(-147)?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*n**2*x**2 - 18*n**2 - n*x**2 + 392*x**2 - x with respect to n.\nAnswer: 14*n*x**2 - 36*n - x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 745, 2975, 6687, 11875, 18533?\n\"Answer: -o**3 + 747*o**2 - 4*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8 + (1 - 12152\/(-32)). Let z = s + -236. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 3. Let b be f(-3). Suppose 0 = -6*l + 9*l. Suppose 5*x - 2*h + 1 - 15 = b, l = -2*x + 3*h - 1. Solve 5*i - 4*a = 13 + 28, -x*a = 16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + (0 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 + 338 = 12*k - 46 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-13)*s\/(s\/s**(-13))*(s**(-1\/3))**(-30) assuming s is positive.\nAnswer: s**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1 = 9. Let t be -3 - -8 - ((-1 - 0) + 2). Solve -5*l = -t*l - q*k - 7, 10 = -4*l - 3*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4 + 145\/20. Calculate the greatest common divisor of c and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 2*w + 4*w)*(-9*w**4 + 14*w**4 + 12*w**4 - 2*w**2).\nAnswer: 34*w**5 - 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24, -199, -494, -909, -1444, -2099, -2874?\n\"Answer: -60*w**2 + 5*w + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 223, -62, -3 in increasing order.\nAnswer: -62, -3, 5, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -2*r - 1\/9*r**4 - 21 + 22\/27*r**3 - 4\/3*r**2. Factor n(j).\nAnswer: -2*(j - 3)**2*(2*j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 31 = -3*g. What is the remainder when (-10)\/4*(-1656)\/60 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1965 + 1978. What is the remainder when 116 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5 (b) 1\/3 (c) 1824 (d) 0.5 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86983 divided by -6691.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26108 + -3457498.\nAnswer: -3431390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19 and 215?\nAnswer: 4085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + 66. Let g = n - 41. Let m = 104 - g. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 9*h. Let y(f) = f**2 + f + 2. Calculate y(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8 - (468\/112 + -3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 - 10*n - 12. Let z be w(-2). Let i(a) = -2*a - 8 + 3*a + z*a - 7 + 0*a. Determine i(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -6 + 3 + 31 + 2 + 8.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153 + 163. Suppose 0 = -j + 3*j + 100. Let i = j - -59. Is i >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -120 - (14 - (207 - 95))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2816 = -5*s + 3179, -4*s + 3*q + 4785 = 0. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/12 - (-23 + (-685464)\/144) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1292359, 2584697, 3877035, 5169373, 6461711?\nAnswer: 7754049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*o + 4188 = -129*o. Let d = o - -1292. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 7:36 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -407*z + 361*z + 325634. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(8 - 879) - 10. Which is bigger: -4398\/5 or q?\nAnswer: -4398\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140627703655.94 less than 9?\nAnswer: -140627703646.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 - 6*w - 13. Let u be a(-4). Let p be 19 + 0 + (u\/3 - -5). Let t = -44 - p. Round t to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 39*m**3 - 180*m**2 + 336*m - 192.\nAnswer: -3*(m - 4)**3*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2. Let y(m) be the first derivative of -m**2 - 2 - 18*m + 18*m. What is y(n(g))?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3951 and 11673.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2 + h**3 + 4*h - 2*h**2 - 11 + 7*h**2 + 10 + 9. Determine v(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 58*f - 184. Determine m(-32).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + 221130431?\nAnswer: 221130401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 37*r + 0*r**2 + 7\/4*r**4 + 0*r**3 + 0. Let f(t) = t. What is a(f(q))?\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4202510000 rounded to the nearest 1000000?\nAnswer: -4203000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 0.4 (c) 0.2 (d) -1125.51 (e) -3\/5 (f) -307\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2356 from -0.2969.\nAnswer: 2355.7031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -2 (c) 2\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w - 410*w = 23462 + 3208 for w.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -87, -279, -651, -1263?\nAnswer: -2175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 25 = -4*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2337, -3068, -3819, -4596, -5405, -6252, -7143, -8084?\n\"Answer: -j**3 - 4*j**2 - 712*j - 1620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2*k = 45*z + k + 650, -2*k - 74 = -103*z + 109*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9240 = 128*n - 7320 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 2056?\nAnswer: 8224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -3, 5, 13, 21, 29?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -647\/473 - -51\/43. Which is the third biggest value? (a) -7 (b) 0 (c) l (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b - 72. Let p(n) = -4*n + 142. What is -4*p(s) - 9*t(s)?\nAnswer: -2*s + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -16*p + 66. Determine q(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/5 - 23558*p**2 + 353388*p\/5 = 0.\nAnswer: -58898, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13356992 and 197015632.\nAnswer: 788062528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -1\/2*r**2 + 0 - r**3 - 2*r. Find the first derivative of f(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2450) + -1*sqrt(2450))*-5 + 3*sqrt(2450)*2)**2 + (sqrt(2450) - 4*sqrt(2450)*-1) + (-4 + sqrt(2450) + 2)**2.\nAnswer: 35*sqrt(2) + 90654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 7*z**3\/3 - 3*z**2\/2 - 3*z - 15. Let c(i) = -i**3 + 11*i**2 - 8*i - 7. What is the remainder when c(8) is divided by d(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1589 + -1570. Solve 0 = 4*o + 275*x - 280*x + 31, -o + 5*x = g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 890097 or 7120765\/8?\nAnswer: 7120765\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*q + 3*q + 0*q - 2*q + (2*q + 3 - 3)*(-2 - 3 + 3))*(-2*q + 6*q - q).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2186, 3060, 4528, 6596, 9270?\nAnswer: 12556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1088 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 3*x + 16, 5*v + x = -16 + 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*w**3 - 785*w**2 - 60*w = 0. What is w?\nAnswer: -3\/40, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-7)*20503\/(-11716).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8*r**3 + 12*r**2 - 6*r - 3. Let z(b) = -7*b**3 - 10*b**2 + 5*b + 3. Calculate 6*a(j) + 7*z(j).\nAnswer: -j**3 + 2*j**2 - j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 12:11 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 1:07 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3185 - 216 + 853)*(0*x**2 - 3*x**2 + x**2) - 2*x**2 - 3*x**2 + 3*x**2 to the form l*x + j + i*x**2 and give i.\nAnswer: -7646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 136890 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1642 + 1646. Let m(j) = 2*j - 12. What is m(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-39)\/(-12) + -3)*130\/5*1068?\nAnswer: 2, 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 82*j**5 - 3523906*j**4\/11 + 2708760*j**3\/11 + 7827200*j**2\/11 + 1656128*j\/11 + 62496\/11 = 0?\nAnswer: -1, -2\/11, -2\/41, 2, 3906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43421, 86704, 129955, 173174, 216361, 259516, 302639?\n\"Answer: -16*q**2 + 43331*q + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*b = 3846 + 548 + 3487 for b.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -0 - 91. Let u(y) = 1 + 10*y - 1 - j*y. Let z(l) = -6*l**2. What is u(z(b))?\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67535532 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4\/7 - 4*j**3 + 64*j**2\/7 = 0.\nAnswer: -16, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 38. Let u be j(34). Put 1, 3, -26, u in ascending order.\nAnswer: -26, u, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, r: 2, w: 2, k: 2, d: 3, m: 1}. What is prob of sequence rdyy?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = 483 + 50. Let k = 155 + -118. Are s and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -63*l**2. Let f(v) = -2 + 20*v**2 + 2 - 13*v**2 - 5*v**2. What is w(f(q))?\nAnswer: -252*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvdn when four letters picked without replacement from vtnvdmbbmdvmdb?\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 245785.53 minutes in hours?\nAnswer: 4096.4255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -x + 176 + 807, -5*o + 4935 = x. What are the prime factors of o?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2557, -5189, -7825, -10465, -13109, -15757, -18409?\nAnswer: -21065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85000793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.365 to 2 dps.\nAnswer: 1.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91526621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459157946.\nAnswer: 2, 13, 47, 375743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-20) - (-44)\/20. Let b be (1 - -3) + (-9)\/m. What is the nearest to b in -4, -3\/7, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26791 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 - 4*o + 0*o**3 + 2*o + 4*o**4 to the form k*o + h*o**3 + w*o**2 + b*o**4 + n and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 178643, 6, 0 in decreasing order.\nAnswer: 178643, 6, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*1)\/sqrt(12))\/(4*sqrt(6)\/sqrt(2)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*n + 35, -n + 13 = -5*t + 48. Suppose -t*b + 32 + 129 = 0. Calculate the remainder when 111 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 35024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10599206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - -44 - (9 + -9 + 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40401*g**3*k - 30*g**2 - 967*g*k wrt g.\nAnswer: 242406*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-1)\/r*r*r)\/(r*r**(5\/2)*r)*((r*r*r*r**8*r*r)\/r)\/(r*r\/(r\/(r\/(r**20\/r)))) assuming r is positive.\nAnswer: r**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-180)*-27*(-2)\/3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 285579000 rounded to the nearest one million?\nAnswer: 286000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - y + 15. Let a = 35.05 + -34.85. Sort a, -2, y.\nAnswer: -2, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*c + 29 = 0, 0*i - 3*c = -2*i - 2. Let m be (8078\/(-10))\/i - 4\/10. Suppose 2*j = 5*d + 119, m + 56 = 3*j - 5*d. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 188 * -1.077.\nAnswer: -202.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -29*a**3 - 142*a. Let d(t) = -20*t**3 - 95*t. Determine 7*d(z) - 5*u(z).\nAnswer: 5*z**3 + 45*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.177989 rounded to 3 dps?\nAnswer: -2.178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/60)\/(1\/15)*8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrn when four letters picked without replacement from rdnrdrdddrrdnrr?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -956 + 277 = -7*r. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102610 to the power of 1\/2, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 706*z - 712*z. Suppose 0*m - 3*m + 27291 = z*u, -4*u - 9113 = -m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 103\/76 - ((-704)\/304)\/(-22). What is the third smallest value in -0.5, 1\/5, -5, c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/(-33)*(20 + -17). Solve -4*i - q + 5 = -2*i, -o*i = -4*q - 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**14\/i))\/(i\/(((i\/((i**(-1\/19)*i)\/i*i)*i)\/i)\/i*i))*(i**(-4\/5)*i)\/i*i**(-4)\/i assuming i is positive.\nAnswer: i**(-1876\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1 + 8*w**2 - 2 - 2*w - 2*w**2. What are the prime factors of a(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -114*t + 232. Let w be b(2). Suppose 3*c - 30 = -2*c. Suppose -w*o - 62 = -c*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/7 (b) 273 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3480 = -4*o, -2*o = -j + 4*o + 1780. What are the prime factors of j?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.4 * 0.3\nAnswer: 2.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d0b - -5?\nAnswer: 3d12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4451 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 565\/(-452)*1\/5*-88?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k - 4. What is the smallest common multiple of y(-3) and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q + 0*q + q**4 - q)*(-3 - 3 + 2) + (-37*q + 13*q**2 + 37*q)*(-4*q**2 - 7*q**2 + 0*q**2) as s*q**4 + j + t*q**3 + w*q**2 + p*q and give s.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.27 or -156?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + y - 2*t - 96, -4*y + 201 = 5*t. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/4920 and 139\/67979148?\nAnswer: 679791480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 234\/52*2\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*w - 845*w + 819*w.\nAnswer: -357*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 10*c - 7. Let q be b(-9). What is the third derivative of 3*w**2 + w**3 - 3*w**6 + w**3 - q*w**3 wrt w?\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aenzzanzztuauan. What is prob of picking 1 e and 1 a?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6216\/336)\/(1665\/18).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*y - 113*y + 1329543 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 995991729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -1. What is the greatest common divisor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34.1 + 4.4\nAnswer: 38.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 517 by 4.\nAnswer: 517\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*h - 2*c - 9, 0 = -2*h + c - 3. Are h and -20\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**5\/20 - 41*j**4\/12 + 2*j**3\/3 - 159*j**2\/2 - 453*j. Calculate m(41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27948 is divided by 1166?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 - 364. Let z(o) = -o**3 - 182. What is -6*j(k) + 13*z(k)?\nAnswer: -k**3 - 182","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 166*p + 16277. Calculate h(-98).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 3975*g**2\/2 + 2*g + 75. Is f(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35539562 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 184 + 4?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 times 722926?\nAnswer: -2385655.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 1080*j + 1085.\nAnswer: -5*(j - 217)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**2 - 1. Let y(o) = -15*o**2 - o + 3. Let s be (-88)\/(-6)*(-21)\/(-14). Let r(c) = s*b(c) + 6*y(c). Factor r(j).\nAnswer: -2*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -16256*q + 32817. Calculate d(2).\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3546 - 3524. What is the remainder when (12\/(-18))\/((-4)\/2358) is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 536\/(-3528) + (-47)\/(-423)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -5*p**4\/24 - p**3\/3 - p**2. Let f = 76 - 140. Let t = f + 62. Determine j(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.80095 and -236401?\nAnswer: 236401.80095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -0*a - 4*a. Let f = -42 - -46. Solve f = -l + 8, y + 4*l = a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, v: 1, a: 1, n: 2, l: 1, b: 1}. What is prob of sequence bf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 11594.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psp when three letters picked without replacement from isspi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 2:03 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqqsq. What is prob of sequence ssqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*b - 6 + 19, 5*a + 15 = 4*b. Suppose 20 + 5 = b*h. Does 9 divide 4*(90\/4)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94641 is divided by 31545?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 1. Let w(r) = -8*r**3 + 6*r**3 + r**3 + 18. Let u(q) = -6*c(q) - w(q). What is the first derivative of u(p) wrt p?\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u**2 + 4*u + 7. Suppose 0 = -6*s + 6 - 48. Let p(g) = -6*g**2 - 2*g - 4. Calculate s*p(b) - 4*q(b).\nAnswer: -2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c4c7 (base 14) in base 2?\nAnswer: -100100011010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g - 66*g - 69*g = -15936 + 2016 for g.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45965 - 0?\nAnswer: -45965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -179 + 174. What is the fourth biggest value in h, 0.3, 1\/7, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-2) + -2)*-613. Let i = -437 + w. Suppose 0 = -4*h + n - 6*n + i, -3*h + 132 = -5*n. What is the remainder when h is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t*(t*t**6)\/t)\/t)\/t**(1\/3)*(t\/t**(-2))\/t**6)\/((((t*t**(2\/5)\/t*t)\/t)\/t)**(-36\/11)\/(t*t**(-1\/5))**(-30)) assuming t is positive.\nAnswer: t**(-3514\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + -8. Let m = 52 - o. Let h = 66.039 - m. What is h rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, g: 1, d: 3, n: 3}. What is prob of sequence dgn?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 - 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108.1 + -107.8. What is the nearest to -2\/11 in -8, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309778 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8210549 days to hours.\nAnswer: 19.7053176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64 + 1 - (6 + -2)) + (-9 - 33 - -36).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*b + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 173525751271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*6*((-92)\/(-84) - 1). What is the closest to 0 in d, 2, 18?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yra when three letters picked without replacement from {r: 5, y: 1, a: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33116136 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-5)*(-31)\/186?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 52. Let f be p\/(-6)*(4 - 4). Suppose 5*d - 2*l = 2*l + 36, 2*d + 2*l = f. Solve 15 = d*q - q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 886 = -14*u - 304. Let p = 30 + u. Is -56 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h**3 + 5 - 3 + 2*h)*(-2 - 2 - 1).\nAnswer: 5*h**3 - 10*h - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(1\/3))\/t)\/t*t*t)**(-14)\/(t**2\/t)**29 assuming t is positive.\nAnswer: t**(-185\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5374, 5452, 5570, 5728, 5926?\nAnswer: 6164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(10\/3)\/x*x**8*x)**(-44) assuming x is positive.\nAnswer: x**(-1496\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((5 + (sqrt(2) - (sqrt(2) - (sqrt(2) + 1)))**2 - sqrt(2)) + sqrt(2)) + -5*(1 + sqrt(2))*-3 + 2 + -5)*-3.\nAnswer: -51*sqrt(2) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 7. Let x be (-12)\/(-10)*s\/(-3). Solve 5*z + x*i = 21, -z + 9*i = 4*i - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-10) + (-17)\/30. Let v = -0.01347 + 0.21347. Which is the closest to v? (a) 5 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 6, 0*t + 448 = 4*a - 2*t. Let c = a - 33. Calculate the greatest common divisor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4 + -2. Let y be 4\/14 - (-4)\/(-7). Which is the closest to y? (a) t (b) -2 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w**4 - 5366*w + 5367*w + w**2 - 6*w**2 as z*w**4 + f*w**3 + u + r*w**2 + i*w and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13009 - 7488. What is the thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.959768nm in meters?\nAnswer: 0.000000001959768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.084 times -3068\nAnswer: -257.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -324840548?\nAnswer: 324840554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 113*y**7\/42 + 169*y**4\/12 - y**2 + 37. What is the second derivative of b(r) wrt r?\nAnswer: 6780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**3*j**2 - 4*a**3 + 10*a**2*j**3 - 5*a**2*j wrt j?\nAnswer: -12*a**3 + 60*a**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 8*k**2 + 4*k + 9. Let q be w(-7). Solve 5 - q = 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105448 to the power of 1\/2, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -j + 2, -4*v = 2*j + 24. Let p be (-85)\/v - 12\/48. Suppose -3*o + p = 4*o. Which is the third smallest value? (a) o (b) -0.2 (c) -2 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 - 3*x - 2. Let g(a) = -16*a**2 - 16*a - 11. Let r = -20 - -9. Let h(o) = -4*o**2 + 237*o - 456. Let t be h(2). What is r*f(c) + t*g(c)?\nAnswer: c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (361*u + 130*u + 150*u)*(2 - 2*u**3 - 2 + (-4*u + 3*u + 3*u)*(0*u**2 - 4*u**2 + u**2)).\nAnswer: -5128*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, a: 5, s: 3}. Give prob of sequence as.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4773 - -8830. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 3*t - 14 = 0, -m + 4*t - 7*t = 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + f + 14, 4*f - 162 = -2*p - 134 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -18847.4.\nAnswer: -18847.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 16, 4, -14, -38?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 229.779?\nAnswer: -228.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z = 3*p - 18*z + 33, 0 = 4*p - 3*z + 44 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54814698 by 386019.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 886 + 2*c + 827 - 2*c**2 - 1677.\nAnswer: -2*c**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-5 - -2) - (-26 + 26).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2676 - -2676. Let s(p) be the third derivative of b*p - 9\/20*p**5 + 0 + 0*p**3 + 11\/8*p**4 + 11*p**2. Find the second derivative of s(v) wrt v.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 948127661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199096?\nAnswer: 2, 41, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -178, -268, -358?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 8. Suppose 7 = y + 2*d, z = 4*y - 3*d - 5 - 1. Suppose -y*l + 55 = 2*l. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -25, -27?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10241aa (base 11) to base 6\nAnswer: -102415000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-133)\/1463*6\/(-9)*-3)\/(740\/(-55))\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10302003220 (base 4) to base 15\nAnswer: 19b68d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -335267\/57064 + 2\/7133. Let g be 2\/60*(-5 - (89 - -4)). Let m = -67\/60 - g. What is the common denominator of m and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + (sqrt(468) - (sqrt(468) + -2)) + sqrt(468))**2*5*-6.\nAnswer: -14157 + 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.671780822 to 4 decimal places.\nAnswer: 0.6718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 + 15*k**2 - 29*k**2 + 18*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4613 - -0.1803. Let i = 0.229 - a. Round i to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k - 1. Let c be w(-1). Let n be (14676\/(-15))\/(c*(-2)\/(-30)). Let u = n + 12032. Round u to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/9, 429\/16, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/102 and 6*6*1\/(-1071)?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31502223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4615*w + 5152*w + 800*w - 1606184 for w.\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + 15*f - 16. Let l be v(5). Suppose b + l = 3*r, 2*b - 4*b = 0. Factor -25*a**2 - 6*a**4 + 26*a**r + 9*a**3 + a**4 + 30 - 35*a.\nAnswer: -5*(a - 6)*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjlpxwxo. What is prob of picking 1 o and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4789828 is divided by 1838.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6265109, -12530232, -18795359, -25060490, -31325625?\n\"Answer: -2*s**2 - 6265117*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9434 + 5539 = 483*o for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/7*(-19152)\/(-1152)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230 + 230 - 84*s.\nAnswer: -84*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 2\/1)\/(-1). Suppose 0 = -s*x + 6*x - 282. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 913 and 2075?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - z + 417 = 0, -5*m - z + 696 = z. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.99999994 + 14. Round s to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/25*10)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921343288.\nAnswer: 2, 17, 19, 149, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.035926434 to five decimal places.\nAnswer: 0.03593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -264*l + 212*l - 104 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*t + 40, -j + 0*j - 24 = -3*t. Suppose -4*z**4 + 3*z**2 + 51 - 4*z - 4*z**3 - 50 + t*z**3 = 0. Calculate z.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50741031 to the nearest integer?\nAnswer: 7123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:08 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3259315 and -29.7225.\nAnswer: 3259285.2775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*s - 67*s - 39*s - 86*s + 64*s to the form u*s + q and give u.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 4*p + 13*p = 126. What is the greatest common divisor of p and 6174?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oio when three letters picked without replacement from {o: 3, i: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 4*y**2 + y + 7. Calculate r(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 24236, -4, -5, 0, 52 in descending order.\nAnswer: 24236, 52, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 41. Let b = -7 - i. Suppose 9 + b = 4*j. Solve 0*a + 4 = j*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -122, -245, -368, -491, -614?\n\"Answer: -123*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 862, 465, -9 in increasing order.\nAnswer: -9, 465, 862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 6 + 16. Suppose 5*k + 42 = -4*q, 5*k + 0*k = -3*q - 39. Let r(o) = -o**2 - 7*o - 2. Let p be r(k). Solve -p*s + z + 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -62486, -62826, -63166, -63506, -63846?\n\"Answer: -340*u - 62146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600832 is divided by 799?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 10*f**2 - f - 5. What is the units digit of k(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4164, -4165, -4166?\n\"Answer: -u - 4163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0*m**2 - 6*m + m**2 - 1 - 2*m**2. Let g be f(-5). Let c(o) = o - 5. Calculate c(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24, -46, -62, -72, -76?\n\"Answer: 3*b**2 - 31*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4663 + -4040. What is the remainder when j is divided by 49?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/4, -0.4, -1 in descending order.\nAnswer: 2, -1\/4, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -13 + 3\/((-144)\/(-376)))\/(1\/354)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h + 13. Give o(11).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*1)\/((-580)\/(-58))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**5\/60 - f**4\/6 - f**3\/2 + 62*f**2. Let o be v(5). Let s(w) = 2*w + w**2 - 1 - 4*w**2 + w**3 + 2*w**2. Calculate s(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39.1 * 22.983.\nAnswer: -898.6353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63802325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by -5?\nAnswer: 92\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 25*j + 4*b = -34, -4*j + 43 = -3*b. Put j, -90, 1, -3 in ascending order.\nAnswer: -90, -3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4296 (base 11) in base 14?\nAnswer: -20d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39825)\/6903)\/((-9)\/117).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - o - 2*o)*(o**3 + 2 - 2) + 2*o**4 - o + o + 13*o**4 - 115*o**4 - 113*o**4 - 503*o**4.\nAnswer: -714*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 d, and 2 v when four letters picked without replacement from xvxovxsdx?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 11:11 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a\/a**(-2\/7))\/a)*(a\/(a**(-2\/7)\/a))\/a*(a\/(a\/a**(-1\/4)))**(-40)*((a*a*a\/a**2*a*a)\/a**(2\/21))**(-3\/7) assuming a is positive.\nAnswer: a**(527\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*z - 10*z - 21*z**3 + 4*z wrt z.\nAnswer: -126*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f - 3*m = -88, -4*f = -3*m - 382. Let v be (2 + (-45 - 1))*(-47)\/f. Solve -1 = 7*a - v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2362\/5 - -473. Is 21 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 371 + -370.6. Let f = 37.5 - 37. What is the biggest value in -2, -0.5, f, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z = -21*z + f + 5, 114 - 109 = -12*z - f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4*(-4)\/3. Suppose g + 6 + 11 = -3*w, -2*g - 18 = 2*w. Let i be z\/8*4\/g. Put i, -1\/7, 0 in descending order.\nAnswer: 0, -1\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11326885 times 1.1\nAnswer: 12459573.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 15. Let s(k) be the second derivative of k**5\/20 - k**4\/12 + k**3\/3 - k**2\/2 - k. Calculate the remainder when s(3) is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34593*o - 24 + 69189*o - 34598*o.\nAnswer: -2*o - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 112792633, 112792626, 112792619, 112792612, 112792605, 112792598?\n\"Answer: -7*z + 112792640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i + 10. Let l(w) = 2*w + 2. Let y(a) = -3*h(a) + 15*l(a). Determine y(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.2 (c) 0.13 (d) -4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 146 = i + 2*u, -i + 3*u = 166. Is i*1*(-3)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 57*n - 1. Let w(r) = 692*r**2. What is x(w(d))?\nAnswer: 39444*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.85 - -0.05. Let w = 0.35 + -2.35. Is w smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -98 + -265630?\nAnswer: -265728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 638754105 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 4, t: 2, l: 2, r: 10}. What is prob of picking 1 l and 1 r?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3437 and 5156080853.\nAnswer: 3437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*j + 25357 - 25245 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480383 is divided by 643.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26612, 26602, 26590, 26576?\nAnswer: 26560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 1. Suppose 0 = -k - 2*n - 6, 22 = 5*k - 2*n - n. Solve -l = k*f + 3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 609263 and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*m + 24*m - 73*m + 6*m**3 + (-1 + m + 1)*(-4 + 2*m**2 + 4) + 2*m**3 - 3*m**2 + 3*m**2 + m**3 - 2*m**3 + 3*m**3.\nAnswer: 12*m**3 - 34*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*t - 5*k - 24 = 24*t + 726, -3*t + 5*k = -78 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 l when three letters picked without replacement from {l: 6, b: 1, e: 1, x: 8}?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 166 divided by 5330911\nAnswer: 166\/5330911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1199 = -6*g - 3787. Let i = -796 - g. What is the greatest common factor of i and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 46 = -3*f - u, -4*f = -3*u - 52. Suppose 0 = 2*x - 7 - 1. Suppose -2*y + b + x = -0, 0 = -4*b. What is the smallest common multiple of f and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:20 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 9424, 34, 4?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -16, 2*d - 129 = -3*k - d. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 20 = -5*t - 5, 5*t = -o + 15. Let f(r) = r**3 + 5*r**2 - 13*r + 3. Let u be f(-7). Let h = 0.7 - 0.2. What is the third smallest value in o, h, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2198 in 0.5, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(((-24)\/56)\/((-8)\/(-28))))\/(-9)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -47, -64, -77, -86, -91?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41271121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-28) + (-11750)\/(-67116)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 279, 285, 291, 297?\n\"Answer: 6*j + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-70)\/(-8) + 2\/8. Let n(a) = -43*a**3 - 2*a - 49. Let d be n(-5). Suppose p*h - d = h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65479 or 270?\nAnswer: -65479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r = 14*r. Solve r = 6*d - d - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248976 and 728?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10147624, -20295224, -30442800, -40590352?\n\"Answer: 12*v**2 - 10147636*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 651 and -1.034?\nAnswer: 652.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -176 equal to -2.96843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/24*208\/26.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5507\/4 + 4145\/3. What is the common denominator of z and 11\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, f: 4, o: 4, r: 6}. What is prob of sequence fyf?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvgllgcvvclv. Give prob of sequence vgcl.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (10 - -3) - (-2 + 8) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - 6558\/(-18))*3\/2. Let i = o + -534. Solve -10 = i*s + 5*k, 15 = -5*s + 3*k + 52 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 14. Which is the closest to 0.2? (a) -4 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**5\/3 - 11*t**4\/3 - 34*t**3\/3 - 46*t**2\/3 - 29*t\/3 - 7\/3 = 0 for t.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.12 + -7.12. Which is the third smallest value? (a) 2.6 (b) 3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 1. Suppose -6*f + 4 = -2*f. Let s(o) = -8*o**4 + 3*o**2 + 7*o + 3. Let h(r) = f*s(r) - 3*n(r). Find the second derivative of h(v) wrt v.\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172440.\nAnswer: 2, 3, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 - 2466*g + 22036. What is w(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4104 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 9*x**2 - 10*x + 10. Let z be v(10). Let i be 2*((-6)\/z)\/(-3). Determine r so that i*r**2 + 0 + 2\/5*r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -9*w + 10. Let d be u(12). Let l = d - -158. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 253*t**3 + 595*t.\nAnswer: 1518*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*w - 448, n = -n + 4*w + 214. Find the third derivative of 2*s - 71*s**3 + 0*s - n*s**2 + 25*s**3 wrt s.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**4\/24 - k**3\/6 - 40*k**2. Suppose -5*i - 5 = 5. Let l(v) = 3*v + 3. Calculate i*o(d) - l(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.3 (c) 106 (d) -3 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*(-21471)\/(-1684)*(-30)\/(-9).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*2*sqrt(208)*-5.\nAnswer: 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/(-21))\/((-4)\/14). Suppose 2*i = -3*x, -5*x = 5*i - 2*x + 9. Let b be i\/9*m\/(-7). What is the third smallest value in 3, b, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/18*-3)\/(-30 + 7\/(-14))?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 10*p**2 - p - 7. Let l be i(-10). Find the first derivative of 0*h**3 - 2*h**2 + 2*h**2 - 5 - 2*h**l wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104014 (base 6) in base 7?\nAnswer: -34135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 63272*w**2 + 4*w + 63246*w**2 - 126557*w**2 in the form s*w + j + i*w**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/r**(2\/3)))\/(r\/((r*r**(-6))\/r*r)*r)*(r**0)**(-28) assuming r is positive.\nAnswer: r**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-4\/3))**(9\/7)\/(q**(-1\/2))**(-2\/7) assuming q is positive.\nAnswer: q**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5030*t**3 + 2*t**2 - 37*t - 12 wrt t.\nAnswer: 30180*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23a2 - -3?\nAnswer: -239e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2 + 54858*x - 54855 = 0. What is x?\nAnswer: 1, 18285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5068 - -11386. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ygclycccfcclca. Give prob of picking 1 c and 2 y.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -48 - 2*v**2 + 4*v**2 + 105 - 21*v. Let t be q(5). Solve 2*a + 5*g - 19 = 0, t*g = 6 + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 74 (b) 4 (c) 1 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 39*i**2 + 9*i - 9. Let q(w) = 10*w**2 + 2*w - 2. Calculate -18*q(a) + 4*v(a).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -95, 48, 7.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 + -2. Let p = -0.62 + 0.52. Which is the nearest to p? (a) r (b) -3\/7 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*f + 1377, 3*f = -3*w + f + 827. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2483 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*f - 16*f - 6*f - 17*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6725 (base 10) in base 6?\nAnswer: 51045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -191695122 + 191695131.00000015. Let f = s - 9. What is f rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4535838 and 1057740?\nAnswer: 771092460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3077*l + 3219*l = 2602434. List the prime factors of l.\nAnswer: 3, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1110 and 14430.\nAnswer: 14430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/1 + 2427*2. Suppose 16*f - 20*f = -h. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1118586462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 407509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-8)\/(-6))\/(1\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37699*q + 52*q**3 - 4*q**2 - 37699*q.\nAnswer: 52*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52169003?\nAnswer: 19, 2745737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*d - 27536, 61*y = 62*y - 5*d - 6884. What are the prime factors of y?\nAnswer: 2, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/180 - (-14)\/(-63))\/3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2 (b) -8 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -713, -1552, -2391, -3230, -4069?\nAnswer: -4908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2176 times 0.5?\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*n - 15. Suppose -m - 4*w = -16, -4*m + 2 = -n*w - 104. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 138*g**2 - 5*g - 129. Let q(s) = -137*s**2 + 6*s + 129. Let f(y) = 6*o(y) + 5*q(y). Differentiate f(x) with respect to x.\nAnswer: 286*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(-3 + 4 - 2)*(-k**2 - 4*k**4 + k**2)*(4 - 4 + k).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-17 - 3) - 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -223 (base 4) to base 7\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 367e2d?\nAnswer: -367e30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/18, 499, 0.17, -4 in descending order.\nAnswer: 499, 0.17, 1\/18, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344 + -18294333608.\nAnswer: -18294333264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 3 = 5*g. Let w(l) = -6*l + 36. Let i be w(5). Solve 2*c + i = 0, 4*x - g*c - 7 + 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/123534 and 49\/18?\nAnswer: 123534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 208, -3, 5.\nAnswer: -3, -1, 5, 6, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 - -113. Solve -n*t - 4 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2. Let h(s) = 2*s**2 - 256. Determine l(h(u)).\nAnswer: 4*u**4 - 1024*u**2 + 65536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13061, -13076, -13101, -13136, -13181, -13236, -13301?\nAnswer: -13376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32734259?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 3 - 4 - f + 2 - 2 + 9*f + (0 - 4 + 2)*(-3*f + 4*f - 2*f) as w*f + h and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53639 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o. Let c(b) = -b - 6. Let z = 1 - -5. Let y(h) = 2*h + 4*h + 13 - 2*h - 2*h. Let d(w) = z*y(w) + 13*c(w). What is x(d(p))?\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(425) + 0 - sqrt(425)))**2 - sqrt(425)) + -1*(sqrt(425) + (sqrt(425) - (sqrt(425)*5)**2) + sqrt(425)).\nAnswer: -20*sqrt(17) + 10634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -548\/5759 or -1?\nAnswer: -548\/5759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((96\/60)\/8)\/(172\/(-78260)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y + 3 + 3*y + 5*y)*(-60 + 20*y + 60).\nAnswer: -20*y**2 + 60*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.15, 2403.2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7513.\nAnswer: 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -308 from 1485127.\nAnswer: 1485435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.2, 1, -0.2, 52?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**7\/420 + b**6\/40 - 13*b**5\/120 + b**4\/4 - b**3\/3 + 4*b**2. Factor j(c).\nAnswer: -(c - 2)**2*(c - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412093 is divided by 2020?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/21249, -7, 4\/3, -2\/15, -0.3?\nAnswer: -4\/21249","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Are 17139 and 16698 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 + 4983*w**2\/4 + 1556244*w + 10832752.\nAnswer: (w + 7)*(w + 2488)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 928? (a) -6\/5 (b) 1.4 (c) -2 (d) -102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 e when three letters picked without replacement from ooooeoovevvovvevo.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2 = 3*y, -289688*y = -289655*y + 2*x - 136 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37052, 37068, 37098, 37148, 37224, 37332, 37478, 37668?\n\"Answer: k**3 + k**2 + 6*k + 37044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10126711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -215152*i - 34*i**3 + i**4 - 3 + 215166*i - 12*i**3 wrt i.\nAnswer: 12*i**2 - 276*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 395.6 - 396. Suppose 2*l - l - 4 = 0. Suppose l*t - 4 - 4 = 0. What is the biggest value in 5, x, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*v - 10*v - 14514 - 14495 + 43533 - 14524.\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36752, 73341, 109906, 146435, 182916, 219337, 255686, 291951?\n\"Answer: -2*w**3 + 36603*w + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-8)\/2)*435\/580\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7 + 55 + -65.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17683.84102 - -17684. What is d rounded to three dps?\nAnswer: 0.159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 8. What is the remainder when 59 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/223238 and 19\/14?\nAnswer: 1562666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lpoccpomopc. What is prob of sequence oomp?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 97600 divided by 8?\nAnswer: 12200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/1881 + (-2)\/(-11).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 28 = -248. Suppose 98 + u = -6*h. Which is the closest to -0.1? (a) h (b) -3 (c) -0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f = -c + 78, -2*c + 162 = 4*f. Let l = 67 - c. Let m = l - -83. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00877594645 rounded to 4 dps?\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.0215914+-0.5\nAnswer: -0.4784086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -15. Suppose 0 = t*j - 13*j - 203. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -3\/4, 697, 3\/8, -40, -1.5, 2\/3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 5*v - 6. Let a be z(5). Let u(p) = p**3 + 5*p**2 - 8*p - 8. Let h be u(a). Solve 5*r + 3*w + 14 = 0, w = h*r + 9 + 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5400953 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11*s**2 - 764*s + 426. Give a(-70).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpvv when four letters picked without replacement from {p: 1, v: 4, o: 3, l: 5}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*-5)\/(-5 - -4). Solve k + n = -0*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from tfqeo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 314520388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 90484547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {e: 1, q: 3, h: 3, r: 2, v: 1, j: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -2, -0.1, 1\/2, -0.0146, 0.03?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*q + 13, 3*q = -2*u + 7*q + 6. Let x(p) = -p + 11. Let m be x(5). Is u*7256\/(-12)*m\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/1)\/1 - 3. Let f be (50*y\/(-12))\/6. Let p = -7\/3 + f. Which is the biggest value? (a) 2\/7 (b) p (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7396 - 7396.0000579. What is c rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 68700.94.\nAnswer: -13740.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i**2. Let o be c(-1). Let v be (0\/(3 - o))\/(-1). Solve v = 3*s + 4*z, s - 2*z + 0*z + 10 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + (-7 - -8))\/(2*-1). Let a(c) = 259*c + 5. Let y be a(w). Let u = 364 + y. List the prime factors of u.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 5, -0.04, -164, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 696.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2474 and 55.927?\nAnswer: 138363.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 25 = 5*k, -10 = -4*k + 4*r + 10. Solve -k*l - b = 7, 5*l = 2*l - 2*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*2 + sqrt(228) + sqrt(228))*3)\/(sqrt(12) - sqrt(12)*-1*4).\nAnswer: 12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 124.1686 kilometers?\nAnswer: 12416860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/21 (b) 0.6 (c) 194.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**4\/4 + q**3\/3 - 3*q**2 + 6*q + 9. Calculate the remainder when a(3) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7105, -7093, -7065, -7021, -6961, -6885?\nAnswer: -6793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -314 + 298 + (17 - (0 - -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19223 + -6044. List the prime factors of o.\nAnswer: 3, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1396.831 to the nearest integer.\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 128305379.6?\nAnswer: 128305379.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33801 - 18754. What is the highest common divisor of l and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 5*z - 20, -5*h + 2*z - 20 = z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 6*a**2 - 8*a - 8. Give m(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**4\/24 - v**3\/2 - 3*v**2. Let i be f(3). Let q = 4 + i. Calculate the lowest common multiple of 9 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3583166*a*r - 65*a + 614402845*r wrt a.\nAnswer: -3583166*r - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 + 208 + -10 + (14 - 10).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-18))\/((-2)\/(-2))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -6, 0.04, -0.5, -32\/777?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express r - 2*r + 2*r + 2*r**3 + 0*r**3 as q*r + s*r**3 + j*r**2 + p and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -79. Suppose -22*w + 20*w - 20 = 0. Let i(l) = 3*l**2 + 7*l + 42. Let d be i(w). Calculate the greatest common factor of m and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-19 - -34) + (12 - -6 - 0).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -140, 56, -1016 in decreasing order.\nAnswer: 56, 2, 0, -140, -1016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a factor of 21672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 13*j = 0. Suppose 5*v + 505 = -j*b + 5*b, 0 = 2*b + v - 196. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 2\/13, 10\/81, 2\/7?\nAnswer: 10\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 410 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -294*k + 588. Let o(p) = p - 1. What is l(f) + 588*o(f)?\nAnswer: 294*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/9 and -15\/167.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/1998 at most -2.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**2 + 5*m + 23*m**2 - 14*m**2 - 5*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-198)\/285 + 202\/(-1919))\/((-15)\/(-25))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73973 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -45777.77442 rounded to the nearest integer?\nAnswer: -45778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**6\/120 - 3*p**5\/40 + 17*p**3\/6 - 20*p. Let t(i) be the second derivative of z(i). Factor t(n).\nAnswer: -3*n*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*(sqrt(13) - -1*sqrt(1573)) + -5 + (sqrt(143) - -3*(sqrt(143) - (sqrt(143) + 4*sqrt(143))))\/sqrt(11) + 4).\nAnswer: 1 + 83*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 1 (b) -1\/11 (c) 215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 7:27 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -47*r**2 + 2*r + 65. Let b(l) = 235*l**2 - 11*l - 327. Let n(w) = -6*b(w) - 33*z(w). What is the derivative of n(m) wrt m?\nAnswer: 282*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.64 times -2193.8\nAnswer: 5791.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -50670 < -51075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 428422207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**5 - 16143657*u**4 + 4163*u - 6016 wrt u.\nAnswer: -40*u**3 - 193723884*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwp when three letters picked without replacement from wggpmwwwwwwww.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 4, -56 in decreasing order.\nAnswer: 4, -2\/5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06339 and -0.06.\nAnswer: 0.00339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15.7 or 281?\nAnswer: -15.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 50. Let z be b(0). Calculate the common denominator of 2*(-1)\/(-22)*-38 and (19\/(-5))\/((-16)\/z).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**7\/56 - 3*m**6\/20 - 21*m**5\/40 - m**4 - 9*m**3\/8 - 3*m**2\/4 - 27*m. Factor u(j).\nAnswer: -3*(j + 1)**4*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(0*z + 3*z - 2 - 4*z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1. Let r(n) = n**3 - 4*n**2 + 3*n - 3. Let l be r(3). What is the closest to z in 1, 2\/9, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 7*w - 168 = 2*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*o + 7 + 5, -5*h = 2*o - 28. Suppose 3 = h*q - 9. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2*a. Suppose a*p - p = 0. Let x = 5 + p. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42574836*l**3*m**3 - 2*l**3*m**2 + 30988*l**2 - 4*l*m**2 + 38*m**2 wrt m.\nAnswer: 255449016*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**4*l - j**3 + 8291744*j**2*l + 36322496*j*l + 2*j wrt j?\nAnswer: 36*j**2*l - 6*j + 16583488*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l + 1. Let o(f) = 6*f + 9*f**2 + f**3 - 6 + f + 0*f**3. Let q be o(-8). Suppose 6 = -q*u - 2, 2*u + 16 = -2*p. What is j(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -7*x**2 - 121*x - 33. Let c be a(-17). Let s = 9 + -14. Sort 14, c, s.\nAnswer: s, c, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(5*sqrt(22)\/sqrt(2)))**2*6*5.\nAnswer: 72\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 1:29 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 6*u**2 + 4*u + 4. Suppose 0 = -2*g + 3*p - 18 + 3, -5*g - 9 = 2*p. Is k(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a + 4*a + 2*a + (0*a - a - 8*a)*(-3 + 5 - 1).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 95*f**2 + 4. Let l be b(3). Find the third derivative of 859 - l + 19*x**3 + 28*x**2 wrt x.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4 + 4)\/(1 - 7))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43523?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 4*z**2 - 2*z + 2. Let g(a) be the first derivative of a**2\/2 - 13*a - 5. Let f be g(11). What is s(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175440 and 820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-165)\/((-110)\/(-10)))\/(5\/(-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79784 and 14.\nAnswer: 558488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 43*o**3 + 2*o**2 - 23*o + 4. What is the hundreds digit of l(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/63*(-28)\/(-44)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 12 = -4*s - 7*z, 5*s + 4*z - 15 = 0. Suppose s*v - v - 92 = 0. Let b = v + -44. What is the smallest common multiple of 1 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 21 + 22 + -18 + -24.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1619)\/(-7) - 12\/42. Calculate the greatest common factor of 21 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l**3 - 2*l**2 + 5*l - 270. Let u(t) = 2*t**3 - t. Let s(g) = -f(g) - 6*u(g). List the prime factors of s(0).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millisecond in microseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2348451 is divided by 411?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2. Suppose -3*r + 2*r - 4*b - 7 = 0, -5*r + 5*b = -15. Let j(y) be the second derivative of -y + r - 1 - y**3. Determine l(j(q)).\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 318032*d**3 - 107893.\nAnswer: 954096*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 15*r - 25 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c + 11. Let y(u) = -u - 4. Let w(t) = 6*a(t) + 17*y(t). Let p be w(4). Suppose -p = 3*i + 7. Is i at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -693 and -740 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 44. What is d(-14)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-3))**28*(q\/(q*q\/((q*(q\/(q\/(q*q**3)))\/q)\/q)))**(-5\/2) assuming q is positive.\nAnswer: q**107","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*w*x - 23*w + 152*x wrt w.\nAnswer: 8*x - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*b - 39*b - 20 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**4\/24 + 7*t**3\/6 - 2727*t**2. Let c = 1 + -1. What is v(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92.8 - -91.8. Let f = -28 - -28.5. What is the closest to t in -2\/9, f, -13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-7)*(-10 + 9) + 1. What is the closest to l in 0.1, 5, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.3 * 25.46718.\nAnswer: -287.779134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101.99 + -102. What is the third biggest value in 0.07, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -368 - -372. Which is the closest to -3\/4? (a) s (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h - h + 2*h + (-58 + 23 + 27)*(18*h + 19*h - 41*h) in the form l*h + y and give l.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 19*a + 2. Let l be 2\/(-5) - 420\/(-50). Let j = l - 6. Calculate the remainder when 199 is divided by u(j).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 18 = -0*g - 2*g, 15 = g - q. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -6, -1 in ascending order.\nAnswer: -6, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22684 - 155482?\nAnswer: -132687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3 - 6*u**2 + u + 6 = 0. What is u?\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -673 + -7?\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 1. Let u be r(-5). Let h(t) = 38*t - 208. Calculate the lowest common multiple of u\/(-10) - 124\/(-10) and h(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 51*f**3 + 2*f**2 + 2*f. Let i be k(-2). Let l = i + 573. Calculate the remainder when l is divided by 60.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10105039.6 rounded to the nearest ten thousand?\nAnswer: -10110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w. Suppose -4*v - 1 + 17 = w. Solve -4*n - n = 4*r + 12, 0 = -3*n + v*r - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8512 + -4719. Suppose -b + 2397 = -0*b + 5*a, 2*b - 4820 = 3*a. Suppose -2*k + y + b = 0. Round k to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1141*f - 48733. Give b(43).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9592 - 11024 = -10*w - 3016. Calculate the greatest common factor of 550 and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -4. Let t = 0 - -1. Suppose u = -5*c - 6, -2*u - 3*u = -4*c + t. Are s and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621008 < 621113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(sqrt(66) - (sqrt(66) + sqrt(66)*2 + sqrt(66) - sqrt(66)))*1)\/(((sqrt(600)*-2 + sqrt(600) - sqrt(600)) + sqrt(600))*-5).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n + 1. Suppose -34*m = -29*m + t - 9, -2*t + 8 = 5*m. Suppose 8 = -4*r - m*a, 3*r - 4*r - 2*a = 2. Determine u(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + o - 3*o)*(-19 + 1 - 5).\nAnswer: 23*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/190396 and -12\/7.\nAnswer: 1332772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 0.02, -0.4, -5, -1\/17?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5559797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58188 by 4.\nAnswer: -14547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -3, -6 in descending order.\nAnswer: 0, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v = 3, 3*n = 2*v + 33. Calculate the remainder when -3*(-2)\/(-3)*-4 is divided by ((-6)\/n)\/(2\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6*b + 3*q + 411, 3*b - 243 = 3*q. Suppose 0 = -0*h - h + 1. Let o = 22 - h. What is the greatest common divisor of b and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1030206 - 2?\nAnswer: -1030208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-27)\/(-2)) + (-26)\/(-36). Let f = -19 + 77\/4. What is the closest to h in 0.4, f, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.07 * 0.06.\nAnswer: 0.1242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9642 + 9641.8. Which is the closest to 6\/11? (a) j (b) 1\/5 (c) 13 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714 = 169*v - 394*v + 204*v for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y + 890 + 904 + 840 + 252 to the form a*y + b and give b.\nAnswer: 2886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 + -231. Find the common denominator of -75\/76 and (-48)\/64 + p\/88.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m**3 + 11*m**2 - m - 28. Is 66 a factor of i(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhqhqhhrhhhqhr. What is prob of sequence rqhr?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 383 + 349 = 0. What is the common denominator of 3\/12 + v\/20 and 59\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -319d (base 14) in base 15?\nAnswer: -2812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a + 2*a + 0*a + a**3 + a as r*a**2 + f + o*a + m*a**3 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77438569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: 9*-5225426\nAnswer: -47028834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2481, -5245, -8007, -10761, -13501?\nAnswer: -16221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 + -11)*4\/42. Is m at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71913\/728 + -691\/7. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 10 = -n + 2, 4*m + 4*n + 24 = 0. Let l = -49.1 - -49. Let w = -1.4 - -1. Which is the nearest to -1\/3? (a) w (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Suppose 0*u - j*u = 4. Calculate the remainder when 36 is divided by u - -7*(2 - -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1984447 divided by -3.\nAnswer: 1984447\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -2) + 12 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/519 and 29\/235?\nAnswer: 121965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 2. Let l be -12*(15\/(-9) - -1). Let y be h(l). Let p = 19 - y. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)*o)\/(o\/(o\/o**0*o))*o**6\/(o\/(o\/(o\/(o**(3\/4)\/o)*o))))\/(o**(-5)\/(o*o\/(o\/(o**(1\/4)\/o)*o))*o**5*o**(-1\/10)) assuming o is positive.\nAnswer: o**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - 2.8. Let s = 8 + k. Which is the third biggest value? (a) s (b) -5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 167*r**2 - 340*r - 481. Give z(-169).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + 2*(sqrt(208) + -1 - sqrt(208)) + 2)*1*-6.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0249325 rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2937257 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -12*o + 2. Let t be f(-3). Calculate the greatest common divisor of 418 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6653, -16071, -25497, -34931, -44373?\n\"Answer: -4*f**2 - 9406*f + 2757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258 and 356950998?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 75001*c**3 - 87*c**2 + 82*c**2 + 3*c. Suppose -t + 1 + 3 = 0. Let z be y(t). Round z to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 297601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5178966439 to the nearest one hundred thousand.\nAnswer: -5179000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5456?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -171697?\nAnswer: -85848.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -213*b**4 + 406*b**4 - 245*b**4 + (-3*b**3 - 3*b**3 + 4*b**3)*(-2*b + 0*b + 3*b) as j*b**4 + v*b + m*b**3 + k*b**2 + i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 8. What is the tens digit of c + 228\/4 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 14, f: 5}. Give prob of sequence ffff.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2. Let k = -6 - -9. Suppose k*j = -l*j + 12. Solve 0 = -0*m + 2*m + j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/5805 and -97\/147060.\nAnswer: 441180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (65340\/25410)\/((-2)\/84)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkzz when four letters picked without replacement from kkkzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -90? (a) 9 (b) 5 (c) -559\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-30)*1)\/(15\/(-120)). Let 0 - 2\/15*q**3 + s*q**2 + 2\/3*q = 0. What is q?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Calculate the highest common factor of 12204 and 216.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 283*c**3*i**5 + 4*c**3*i**2 - 5*c**3*i - 3*c**3 + 16*c**2*i - 12*i**5 wrt i.\nAnswer: 16980*c**3*i**2 - 720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*h + 319 - 415. What is the smallest common multiple of h and 126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20739890 rounded to the nearest 10000?\nAnswer: 20740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5958, 47629, 160738, 381003, 744142, 1285873, 2041914?\n\"Answer: 5953*d**3 + d**2 - 3*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 461019?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10242707 (base 8) to base 9.\nAnswer: -4083134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*i = 1665, -20*q + 16*q - 2*i + 1338 = 0. What are the prime factors of q?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8238 and 311635491?\nAnswer: 311643729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1. Let w(h) = 68*h - 6. What is 6*q(t) + w(t)?\nAnswer: 68*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8804 - 8801. Let d(l) be the third derivative of -1\/6*l**6 + 0*l**4 + 7\/2*l**n + 0 + 0*l**5 + 0*l - 5*l**2. Differentiate d(t) with respect to t.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 19888\/(-374)) + 9\/(-51)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 328, 1187, 2626, 4651, 7268, 10483?\nAnswer: 14302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*c - 31 = -3*t - 153*c, 3*t - 4*c - 34 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + u + 4. Let z(o) = o**2 + o - 1. Suppose 4*m = -j + 6, -4 = -5*m - 3*j - 0*j. Let q(f) = m*z(f) + d(f). Determine k, given that q(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*x - x, -3*c + x = -34. Let k be (-414)\/15 + (-4)\/c. What is the tens digit of (120\/35)\/((-4)\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q + q)*(-q**2 + 0*q**2 + 3*q**2) - q**3 + 4*q**3 - 4*q**3 + (15*q**2 - 5*q**2 + 2*q**2)*(2 + q - 2).\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 114?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, p: 3}. Give prob of sequence pq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 1)\/(2\/(-3)). Let p(l) = 5*l + 10. Let f be p(-9). Let y = 106\/3 + f. Which is the nearest to y? (a) 1\/2 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77196 = -5030*q + 69035 - 30541 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267.23 - -14.1255025.\nAnswer: -253.1044975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adad when four letters picked without replacement from {a: 3, u: 4, d: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 11:41 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 0 - 1\/12*d**4 - d**3 - 9\/2*d**2 - 4*d. Determine h so that q(h) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001897193 rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**7\/70 + 9*z**6\/40 - 6*z**5\/5 + 2*z**4 + 61*z**2. Suppose i(v) = 0. Calculate v.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000650374731 to 7 decimal places.\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*((sqrt(77) - -2*sqrt(77) - sqrt(77)) + sqrt(77)))\/((sqrt(110) - (sqrt(110) + (sqrt(110) + (sqrt(110)*-2 - sqrt(110)))*5))\/sqrt(10)).\nAnswer: 9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20118, -20116, -20114, -20112, -20110?\n\"Answer: 2*x - 20120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5732*u**3 + 5734*u**3 + 5730*u**3 - 22929*u**3 - 13 + 5735*u**3.\nAnswer: 2*u**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 277 - 275. Let y(w) = -1 + w**2 - w**3 - 2 + 3*w + 1. What is y(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 7*q**2 - 7*q + 5. Let n be l(6). Suppose -o + 375 = -4*o. Let g be (-4)\/(-3) + o\/105. Which is the nearest to 0.1? (a) n (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 203 - 116. Let c = s - 86.6. Put 55, c, -2\/5 in descending order.\nAnswer: 55, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2)*p\/p**(-1\/9))\/(p*p**(-2\/5))**(-26))\/(p\/(p\/p**(-1\/5))*p\/(p\/p**6))**(-23) assuming p is positive.\nAnswer: p**(2711\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -2*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-2) - (-468)\/8 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 0*y - y - y - y. Let a(f) be the second derivative of -3*f + 1\/6*f**4 + 0*f**3 + 0*f**2 + 0. Calculate a(n(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/5*(-70)\/28. Suppose f + 0*f = -1. Let n be f*2 + l + -1. Let b(q) = -q**3 - 6*q**2 - 6*q - 6. Determine b(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -11, -25, -55, -107, -187, -301?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a kilometer in meters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times -9?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 0.02 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 6 = -5*g. Solve 0 = 4*u - 5*m - g + 8, -17 = 5*u + 2*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 146 = 62. Is v >= -169\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/2 of a minute?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-39)*(5*(-1113)\/(-420))\/((-2)\/24).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1645 (base 7) to base 9.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 286.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 + 621*n**2\/5 + 75363*n\/5 - 15197.\nAnswer: (n - 1)*(n + 167)*(n + 455)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(-2*z - 2*z + 2*z) + 0 + 2*z + 0 - 2*z + 5*z - 2*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1*(1068\/33)\/((-1128)\/(-3102)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z. Let d(j) = -76*j**2 + 2*j. Determine i(d(v)).\nAnswer: 152*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 384525.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 0.0529.\nAnswer: -0.003174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21723918.9 rounded to the nearest 10000?\nAnswer: 21720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r - 1. Let m(z) be the second derivative of z**3\/6 + 3*z. Let v(l) = 5*m(l) + y(l). Let t be v(-2). Solve 4*o - t*o - 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.88 + -1.8. Let a = -0.28 + u. What is the smallest value in 2\/11, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -730 divided by -365?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 3:16 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-45) + (-5)\/(180\/364). Put 4, -1, z, 1 in descending order.\nAnswer: 4, 1, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42201422 (base 6) in base 14?\nAnswer: 23dc46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -11*q - 35. Let d(j) = 0*j + j + 6*j + 0*j + 23. Let g(y) = -8*d(y) - 5*s(y). Let h be g(-9). Solve -4*c + 3*c - 5 = h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/3, 0.4, 4, 0, -309\/59 in ascending order.\nAnswer: -309\/59, -2\/3, 0, 0.1, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 2)\/1 - -2. Suppose -q = 3*g + 9, -l*g + 1 = 4*q - 3. Suppose s = q*s - 14. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(405))*-2*3.\nAnswer: -54*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001895988946 rounded to 6 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31620.51 months in millennia?\nAnswer: 2.6350425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 20 + 1. Let d = u + -1. Let l = -55 - -97. Calculate the highest common factor of d and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 3:46 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -1, -3, 0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -4, -29, -2?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 + (-6 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/29)\/u)\/u**22)\/((u\/(((u**(-2\/9)\/u*u)\/u)\/u)*u)\/u)**(-2\/19) assuming u is positive.\nAnswer: u**(-112033\/4959)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**6\/20 + x**3\/2 - 5*x**2 - 9. Let o(t) be the second derivative of f(t). Differentiate o(h) wrt h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 39*i**3 + 10*i**3.\nAnswer: -29*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3095 is divided by 344.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqtq when four letters picked without replacement from qttttttqqqttq?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**4 + 9*u**2 + 4*u - 4. Let r(x) = x**2 - x + 1. Let o(p) = j(p) + 4*r(p). Find the third derivative of o(g) wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1881218965?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*(sqrt(99) + (sqrt(99) - -2*sqrt(99))))\/(sqrt(45)\/(2*sqrt(320))))**2.\nAnswer: 2883584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, q: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 11. Let q be p(-8). Let r(t) = -t**2 + 4*t. Let d be r(q). Let x = d + 29. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -44*u - 7. Let x be h(-4). Suppose -i + 5*a = -58, 2*i - x + 67 = -4*a. List the prime factors of i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000083572205 to seven dps.\nAnswer: -0.0000836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1087217951.\nAnswer: 41, 2203, 12037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1979*l - 937*l - 2185 = 927*l for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 42 = -798*y + 803*y, 3*o = -5*y + 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (6 + (-3 - -5)). Let b = -3 - k. Solve 14 = q - 0*q - 5*g, 0 = b*q - 5*g - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -v + 3*v - 424, -4*y = -4*v - 424. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-824 - -831) + 18 + 0 + (1 - 1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*8\/(-6) + -3. Suppose 4*y - f = 15. What is the second derivative of -5*c + c**4 - 6*c**4 + 9*c**y wrt c?\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 1 + 11 = 0. What is the second derivative of m*p**2 + 2*p**2 + 0*p**2 + p wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 12:10 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n = 4. Let y(i) = -i**3 - 2*i**2 + i - 4. Let a be y(-3). Suppose -a*d = k - 2, -5*k + 4*d = 5*d - 10. Solve -k = -n*b + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1578 - 7083 = 17*g + 7*g - 2721 for g.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 282\/(-235)*(-10)\/(-18)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4\/3 - 304*t**3\/3 - 1774*t**2\/3 - 3224*t\/3 - 584 = 0. What is t?\nAnswer: -146, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/5, 0.3 in descending order.\nAnswer: 4, 0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 80, 17, -82, -223, -412?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 177\/(-12)*(-4 + 0) - 3. Let r = -55 + d. Let u be ((-1)\/(2 + r))\/(20\/(-1140)). What is the highest common divisor of 38 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/9)*d*d**(2\/9))**37\/(d**(-1\/4)*d**2*(d**1)**(2\/7)) assuming d is positive.\nAnswer: d**(9847\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2155 (base 11) to base 3.\nAnswer: 10220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 10*d - 18. Let s be m(-7). Solve -p - s = 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6*n - 35 = 0. Let f = n + 19. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 13*f - 4. Let h(a) = -a**2 + 14*a - 3. Suppose -6*p + 2*p - 10 = -2*n, 4*n - 3*p = 20. Let t(d) = n*h(d) - 6*c(d). Calculate t(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 z when three letters picked without replacement from vozoopuozpoopzz.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 209, 2\/25 in decreasing order.\nAnswer: 209, 2\/25, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/6, -2\/17, 3\/25, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82153352 to the power of 1\/3, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m + 59*m**3 + 5*m + 5*m**2 + 7*m**2 - 57*m**3.\nAnswer: 2*m*(m + 1)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 2 + 2)*(1 + 16 + 2 + (17 - 5 + 21)*(-3 - 3 + 4)).\nAnswer: -94*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -153, -5, 2, -1, -4, 1168 in descending order.\nAnswer: 1168, 2, -1, -4, -5, -45, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 89 = -1285. Calculate the highest common factor of 230 and j.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4947 and 14943?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234420.\nAnswer: 2, 3, 5, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 72\/12 - (1 - -2). Let b be (48\/18)\/(2\/g). Suppose 3*q - 4*q - b*u = 5, 3*q - 3*u - 45 = 0. Solve -3*i - 14 = -4*c, -3*i - 2*c + c + q = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29322 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 6:48 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31518, -126070, -283658, -504282, -787942, -1134638, -1544370?\n\"Answer: -31518*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 887284.07 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*n - 1 + 9 = -11, -5*b = 7*n - 8*n - 16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*z - 21, 385*l + z = 384*l - 1. What is the nearest to 0 in 0.1, l, -1, 0.0456?\nAnswer: 0.0456","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*n**4*u - 67428271*n**3*u**3 - 5*n**2*u**3 + 1187*n**2*u**2 + 7748*n**2*u wrt n.\nAnswer: 144*n*u - 404569626*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 4:52 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 74*v - 31*v - 20*v - 21*v + 4. Suppose 0 = -c + 6*c - 30. Let w be d(c). Solve -2*l = 4*x + w, -2*x + 14 = -4*x - 4*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 31*v + 100. Let o(j) = 31*j + 101. Let p(y) = 6*k(y) - 5*o(y). What is the derivative of p(n) wrt n?\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.92107ml to litres.\nAnswer: 0.09092107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**8\/144 + r**7\/315 + 5*r**2. Solve m(w) = 0 for w.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 131225*m**3 - 131230*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 7*d = 3*d - 260, 0 = -4*y - 4*d - 340. Let z be ((-2)\/(-10))\/((-16)\/y). Let u be ((-4)\/(z + 1))\/((-1)\/2). Solve -o + u = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -118 + 116. Let f(v) = 22*v**2 - 41*v + 69. Let m(p) = -5*p**2 + 10*p - 17. Let t(c) = z*f(c) - 9*m(c). Solve t(s) = 0 for s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -31. Let w(o) = o**2 - 2*o - 3. Let b be w(6). Suppose -2*d = s - 3*s, -4*s - 3*d + b = k. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 2:07 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/815 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 16*m + 59. What is f(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 52\/(-9) - 10\/45. Sort -5, -3, o, 0 in descending order.\nAnswer: 0, -3, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.3 - 0.8. Let d = -6 - m. Is d bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1285, 1206, 1127, 1048, 969?\n\"Answer: -79*l + 1364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19980*p**2 + 531*p - 277*p - 254*p.\nAnswer: 19980*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 1575.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*b + 548, 2*b - 192 = -d + 20. What is the remainder when b is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233, -29, -741, -2125, -4403, -7797, -12529, -18821?\nAnswer: -26895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s + 17. Calculate w(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52*h**2*s*t*y - 4*h**2*s - 18*h**2 - 5*h*s*t*y - 6*h*s*t + 40*h*y wrt t.\nAnswer: 52*h**2*s*y - 5*h*s*y - 6*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = -3*d + 8*y + 6, 4*y = -12. Is d equal to 6\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -202 - -287. Suppose -m = 2*l - 29. Let k = l + 67. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.522 (b) -5 (c) 1\/1286\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7140 + -7140.07962. Let p = b - 1.02113. Let r = -1.1 - p. What is r rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, g: 1, q: 1, b: 2, d: 1, c: 2}. Give prob of picking 1 q and 1 c.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 3)\/(-10)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 4*x**2 + 2*x + 6. Calculate the lowest common multiple of 3 and p(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364343 is divided by 121443?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 234303211 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1325*f + 11949. Calculate i(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3133, -3619, -4107, -4597, -5089?\n\"Answer: -y**2 - 483*y - 2649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, j: 1, v: 1, z: 1, a: 1, q: 1}. What is prob of picking 1 z, 2 j, and 1 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*q + 10 + 5 = 0, -25 = -3*l + 5*q. Suppose 4*w - 51 - 13 = l. Solve v = -2*v + 2*i + w, 5*v = 2*i + 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-20)*j\/(j**4\/j)*j**(-6)*(j*j**(1\/4)\/j*j)\/j*j*j**(-1)*(j**(2\/7))**(-9) assuming j is positive.\nAnswer: j**(-289\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233 + 395 - 162 + 7*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 13 - 28. Suppose y = 4*t - 18, -l*y = -2*y - 2*t + 10. Let c be 41\/13 + y\/13. What is the closest to 1 in c, 0, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**2 + 236*z + 1272 = 0.\nAnswer: -53, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11610281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*y - 10 + 4 = 0, -3*y = -2*a - 8. Suppose -4*g - 8 = 0, -2*g = -z + a*g + 7. What is the units digit of (0 - (-1 - -8))\/z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 100?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 511 + -519.31. Let z = -3.31 - u. Which is the biggest value? (a) 1\/7 (b) 2\/11 (c) z (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 13 (b) 0 (c) 1 (d) 0.008\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 103*y - 9. Let s(d) = 2*d**2 - 155*d - 15. Determine -5*s(m) + 8*x(m).\nAnswer: -2*m**2 - 49*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -23179003\nAnswer: 1\/23179003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -19. Let f be (-1)\/(-3)*(1 + 14). Suppose 5*i - 5*r + r - 275 = 0, 2*i - 127 = f*r. What is the remainder when i is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*sqrt(170) + sqrt(170)) + sqrt(170) - (sqrt(170) + sqrt(170)*-3*-2))\/(3*-2*(sqrt(1000)*-1 - sqrt(1000))).\nAnswer: sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h. Let f(z) be the second derivative of z**6\/180 + z**3\/3 + 15*z. Let i(b) be the second derivative of f(b). Calculate i(t(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -239, -2, 0, -5, 2 in descending order.\nAnswer: 2, 0, -2, -5, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -4, -32, -20, -5 in decreasing order.\nAnswer: 0, -1, -4, -5, -20, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3051.19 - 3109. What is i rounded to the nearest integer?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*16\/36*39\/26?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/4 + -35\/36. Which is bigger: g or 0.008?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from iiqmygmmmgai?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-5)\/40 + -10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 720 = 4*f + 2*t, -144 = -f + 2*t. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 26*o - 16. Let s be h(10). Let a = s + -66. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 194524386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r + 17*r - 99365 = -17*r. Round r to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -345 - -715\/2. Let y = 36847681\/94 - 392004. Let z = 5\/47 - y. What is the common denominator of x and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f - 45*f + 18*f**2 - 90 + 90 + 38*f.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/7, 0.2, 0.07, 0.1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 - 30*x**2 + 2*x - 18. Calculate q(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0 = 3. Let w = -43.702 + -0.298. Let t = -43 - w. Which is the nearest to t? (a) 2\/15 (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 + (9 - 12) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2. Let g(k) = -2*k + 742 + 17 + 94 + 2. What is q(g(t))?\nAnswer: -4*t**2 + 3420*t - 731025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -0.5. Let m = 3.1 - 3. Let n = m - g. Which is greater: 0.4 or n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3463\/215 - -10135883\/1290. Let f = -7819 + v. Let h = 86\/31 + 1819\/93. Calculate the common denominator of f and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(65)\/(sqrt(50)\/sqrt(640)) + -3 + 2 + -4 + (sqrt(13) + (sqrt(13) - (sqrt(13) + sqrt(52)\/sqrt(4))**2))*-4.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 10*g + 2. Give r(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 1176.\nAnswer: 18816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, t: 4, l: 4, v: 3}. What is prob of picking 1 v, 1 t, and 1 l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -566*a**2. Let v(p) = -6*p. Calculate v(m(c)).\nAnswer: 3396*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36382 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-3)*j*j)\/(j\/(j\/j**(1\/19))))\/(j\/(j*j*j*j**(2\/17)*j)*j\/j**(7\/5)))**(-5\/6))**(18\/7) assuming j is positive.\nAnswer: j**(-11943\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 215198\/(-7) + (-33)\/77. Let u = 215860\/7 + f. Let v = u + -94. What is the nearest to -4 in v, -2\/11, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 5*v - z + 6, 0 = 3*v + z + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -86710, -173403, -260096, -346789?\n\"Answer: -86693*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:56 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.686 and 1.68?\nAnswer: 2.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (86\/(-3))\/((-30)\/45). Let w = v + -46. Let s(u) = -3*u**2 - 2. Let y(q) = 3*q**2 + 2. Determine w*y(c) - 4*s(c).\nAnswer: 3*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 11:01 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*n + 21*n - 632 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 13 = -3*t. Suppose -w = 3*y - t, -w - 2*y + 6 = -3. Which is bigger: -0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/4))**(6\/11)\/(o**(-3)\/(o\/(o*o**(1\/10)))))\/(o**(2\/3)\/(o**0*o*o))**(-1\/16) assuming o is positive.\nAnswer: o**(2309\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c43 (base 14) to base 6.\nAnswer: 35511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a4ab - 152?\nAnswer: a359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1413 - 1410. Sort -2\/13, 6, 2, q in descending order.\nAnswer: 6, q, 2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118814560 to the nearest integer?\nAnswer: 10900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26676)\/(-3705)*6\/(-54)*20?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39900 is divided by 39357.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-536)\/360 - 328\/(-369)) + 136\/10. Suppose -3*u = 4*s - 240, -4*u + 4*s + 345 = s. Suppose -u = -5*p - 19. Is l at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*r**4 + 1\/2 - 1\/2*r**5 - r**3 + r**2 + 3\/2*r.\nAnswer: -(r - 1)*(r + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744605900 rounded to the nearest one million?\nAnswer: 745000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*h*o*p**3 - 9*h*o*p + 19*h*p**2 + 19*p**3 wrt o.\nAnswer: -16*h*p**3 - 9*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q. Suppose 0 = -2*k + c - 2, 3*k + 5*c - 10 = -q*c. Is k smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*r - 3*p = -329*r - 36, -4*r + 98*p = 86*p for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (434\/(-186))\/(2*2\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54191)\/8071)\/(2\/14).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 902026901982*c + 11*c**2 - 902026901982*c.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*b + 3*b - 2*z, -14 = 3*b - z. List the prime factors of 257 - (b + 2 - -6).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112241444 (base 5) in base 6?\nAnswer: 124434420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 h when three letters picked without replacement from {h: 10, n: 10}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.1. Let l = -5 - -1. Let n be l\/48*8\/3. Sort n, -0.3, x.\nAnswer: -0.3, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -569453160.\nAnswer: 569453144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p**3 + 2*p**2 + 12*p. Let j = 246 + -249. What are the prime factors of v(j)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = -98*f + 100*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*j - j. Suppose -3*q - p + 413 = j, 3*p + 2*p = 10. Let u = q + -90. Calculate the greatest common factor of 47 and u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/((-6)\/2))\/2. Let n(v) be the third derivative of v**4\/2 + v**3\/3 - v**2. Is 13 a factor of n(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-119)\/34*(-26)\/(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -531465000 rounded to the nearest one million?\nAnswer: -531000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -4. Let j = 145\/11 - 151\/11. Which is the closest to q? (a) j (b) 3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17025\/(-77) - (12\/(-7))\/6. Let h = -221 - f. Let k = 5.8 + -6. What is the closest to 0.1 in -3, h, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**2 + 0 + 0*m + 0*m**3 + 1\/12*m**4 + 1\/30*m**5. Let p(w) = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - v**2 + 3. Let i be y(-3). Suppose 3*u = 3 + i. What are the prime factors of u\/1 - -1 - 3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 1. Let a(l) = -l - 2. Let y(h) = 4*a(h) - 7*i(h). Calculate y(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*t = 4. Let k be (t\/440)\/(10\/(-16)). Let f = 1106\/825 + k. Which is the smallest value? (a) 3 (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -359*d**3 + 301*d**2 wrt d?\nAnswer: -2154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2230, -4 in decreasing order.\nAnswer: -4, -7, -2230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1101*w**2. Let l(b) = -4*b + 45. Let a(d) = 9*d - 105. Let v(f) = -3*a(f) - 7*l(f). Determine k(v(r)).\nAnswer: -1101*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4 - -2) + 3)*1. Which is bigger: 7\/5 or c?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, e: 2, f: 2, a: 3}. Give prob of sequence yaey.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 45*f**3 - 5*f**2 + 20*f - 6. Let x be a(6). Suppose -4*h + 14833 - 1920 = 7*u, -3*h = -5*u - x. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r**3 + 31*r**2 - 140*r + 145. Let s = -215 + 194. Let d(i) = -33*i**3 + 123*i**2 - 561*i + 579. Let t(p) = s*h(p) + 5*d(p). Factor t(w).\nAnswer: 3*(w - 5)**2*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**2 + 2*u**4 + 0*u**2)*(-104 + 197 - 37)*(6 - 2 + 1) in the form w + b*u**4 + o*u + y*u**2 + n*u**3 and give b.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = n + 2*d, -3*d - 6 = 4*n - 0*d. Let w be 7 - n*2\/6. Let p = -5 + w. Let h(v) = -v**2 - 3*v + 3. What is h(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (60\/(-9) - -2)*12\/(-8). Let r(v) = -v**2 + 10*v - 17. List the prime factors of r(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337.\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 9:51 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (-2 - (-48)\/9). Let u = 78 + -77.9. Which is the fourth biggest value? (a) 4 (b) u (c) 1\/11 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 214*c**3 - 19*c**2 + 119*c**3 + 345*c**3 - 472*c - 6*c**3 + 18*c**2 wrt c?\nAnswer: 4032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v - v - 4*v**2 + (-61*v - 17*v - 80*v)*(-2*v - 2*v + 6*v) in the form p*v**2 + l + m*v and give p.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4, -94 = -5*z - 2*o - 2*o. Suppose -4*h = -h - 18. What is the smallest common multiple of h and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.88 - 0.12. Let a(r) = 2*r**3 + 2*r**2 - 2*r. Let q be a(-2). Let g be q\/(-22) + (-32)\/660. What is the second biggest value in s, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2921 = -2939 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -48872\/13 < -3758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1344*y + 39609. What is the ten thousands digit of r(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - -27. Differentiate 46*n**3 + 28*n**3 - a*n**3 + 17 with respect to n.\nAnswer: -75*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 275 - -311. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 23. Let n be t(-21). Let d(v) = -2*v + 3. Let r be d(-4). Suppose -s - r = -2*w + 14, -w - n*s + 25 = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.051 - -1.481. Let h = -1.4300121 + f. Round h to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**4\/12 - 13*y**3\/2 - 20*y**2 - 8*y - 1. Let r be f(40). Solve r = 4*z + 2*q + 2*q - 24, 0 = -2*z + 2*q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 707 - 707 + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/4 + (-15)\/(-3). What are the prime factors of 415*(n + 0)*2\/10?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63326898 is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 22 = -10. Suppose -4*h = -x*h + 2748. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7458 and 98107504?\nAnswer: 294322512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -303 - -303.1. What is the closest to 1\/4 in 25, p, -1\/4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**3 - 21*y**2 - 26*y - 178. Give k(-5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5569 + 2*g**3 + 5466 + g**2 - 2*g + 5627 - g**4 - 16439 in the form b*g**3 + y*g**2 + u + z*g + s*g**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/70 and 139\/280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 120*a + 0 + 39*a - 22*a - 15.\nAnswer: -103*a - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + -1 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 100534.\nAnswer: 5\/100534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -153. What is u rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, -2, 0, -6, 7 in decreasing order.\nAnswer: 11, 7, 1, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-4) + (-261)\/6. Let p = -809\/18 - j. Is p <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkk when three letters picked without replacement from kkpve?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001624 rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 22*s**4 - 13686*s - s**2 - 13680*s + 27364*s to the form g*s**2 + u*s + i*s**3 + f*s**4 + m and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 99*z + 176?\nAnswer: 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 6 = 3*n, -10*n = 2*k - 11*n + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 + -2 + 19 + -25\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x + 17819 = 28277 + 31870. Calculate the greatest common divisor of 52 and x.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -654*g - 5070 - 2778 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 6) + 1 - (4 - -58 - 60)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 4*z - 9)*(-2*z + z + 0*z) - 1 + 1 - z**2 - 12*z**2 + 25*z**2 + 38*z**2 as t*z**2 + w + p*z and give t.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5860, 5688, 5478, 5212, 4872, 4440, 3898?\n\"Answer: -3*v**3 - v**2 - 148*v + 6012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.0938, 1\/3, 1, 4?\nAnswer: -0.0938","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 + j**2 + j. Let b(k) = -5*k**3 - 3*k**2 - 3*k + 27. Determine -b(n) - 3*h(n).\nAnswer: -n**3 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-30)\/(-6) - -137) + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 799 and 376.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(57)\/(sqrt(6)\/sqrt(2) + sqrt(3)) + sqrt(190)\/(-1*sqrt(1000)) + 4)*-1.\nAnswer: -4 + 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0 (c) 4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207937 and 2430415.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and (54\/(-45))\/(17\/(-8160))?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1385466*w**3 + 2*w**2 - 2878130*w wrt w?\nAnswer: -8312796*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/2 and 85\/6996?\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x + 4, 5*u - 52 = -3*x. Suppose 3*a - u - 13 = 0. What is the remainder when 27 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*(4 + 4 + -3*(sqrt(567) + 1) + -4))**2.\nAnswer: -10208 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*n + 9. Factor -z**5 + 6*z**4 - 3*z**3 - 3*z**n - 2*z**5 + 3*z**5.\nAnswer: -3*z**3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((783\/81)\/29)\/(50\/24 - 2). Let x be 2*3*(-8)\/12. Put 2, m, 0, x in descending order.\nAnswer: m, 2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*((5*-1*sqrt(448) + sqrt(448) - sqrt(448))*3 + -2)**2.\nAnswer: -907236 - 4320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -663 = -2*b + 1983. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -290.143 - -290. Let a = -0.143042 - x. What is a rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(128) + (1*sqrt(128) - sqrt(128)) + sqrt(128) - sqrt(128))\/sqrt(4) + sqrt(96)\/((-3*sqrt(108))\/sqrt(9)).\nAnswer: 4 + 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1342 by -122.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 329233 rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 319*z**3 + 194*z**3 + 267*z**2 + 124*z**3.\nAnswer: -z**3 + 267*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**5\/60 - 5*w**4\/24 + w**3\/2 - 30*w**2. Let h(v) = -1 - v - 4*v**2 - 2*v**3 - 10*v + 8*v. Let n be h(-2). Calculate a(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/245 + 484\/735. Let u = 63 + -62.5. Sort h, u, 1\/3 in descending order.\nAnswer: h, u, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7929938 rounded to 3 dps?\nAnswer: -6.793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccjccjjjjjjjcjcjjjj. Give prob of sequence jjjj.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 + 89 = 15*t - 263 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22.96786 or 15?\nAnswer: 22.96786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*a**2 - a**2 - 6*a**2 + (-7059 + 98*a + 7059)*((a + 0 + 0)*(1 + 4 - 4) - 3*a - a + 2*a).\nAnswer: -92*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 13*x - 5. Let v be w(-11). Let q = 951.7 - 742. Let l = -210 + q. What is the closest to -0.1 in l, -5, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x - 4*x + 15*x + 15. Let n(w) = -3*w**2 + 2413*w - 4822. Let q be n(2). Let i(l) = -5*l - 5. Determine q*i(v) - 3*c(v).\nAnswer: -2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3849 < 3869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -160135 - 45?\nAnswer: -160202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 6*o + 8. Suppose -2*c = 2*y - 14, -4*c + o*y = -9*c + 20. Suppose 3217 = 227*n - 2458. Solve -n = -7*m + c*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -118163884*l + 117227667.\nAnswer: -118163884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 0.004?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/215279 and -5\/1722232.\nAnswer: 1722232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18343, 36664, 54967, 73252?\nAnswer: 91519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -543*p - 962*p - 31*p + 379*p + 0*p - 4*p + 2*p + (4 - 2 + 0)*(4*p - 5*p + 0*p).\nAnswer: -1161*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3340343*c**5 - 6*c**2 + 13600*c + 10.\nAnswer: -200420580*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + -48. Let u = -207 - -207. Solve j*n = 5*z - z + 2, -5*z - 4*n + 13 = u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -1\/504, 2\/5, 0, 49\/3?\nAnswer: -1\/504","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r + 4*r)*(-1 + 0 + 0 + (5 - 4 - 2)*(-2 + 3 + 1))*(1932 - 846 - 735) + (-r + r + r)*(4 - 6 + 4) - 2*r + r + 0*r.\nAnswer: -2105*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1480 - -1578. Let d be ((-6)\/(-4))\/(1\/2). Suppose -5*j = 4*q + q - 95, -d*q + 15 = 0. Calculate the highest common divisor of g and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 5:42 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t - 5 + 6 - t - 7. What is o(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhv when four letters picked without replacement from hhqqqvvqvqpuvp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 1. Let i be l(-1). Let w = i + 5. Suppose -3*v = -3, -w*p + 8 = v + 3*v. Solve p*m - 4 = -4*j + 6, j + 1 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 4)*(r - r - r) + 4*r + 3*r - 5*r - 2*r + 3*r + 0*r)*(0*r**2 + r**2 - 5*r**2).\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26960777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -43*n - 154. Let o(m) = -11*m - 39. Let h(p) = -9*o(p) + 2*x(p). Is h(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**2*z**4 - 692*k**2*z + 2609*k*z**4 - 5*z**3 + 3*z**2 wrt z.\nAnswer: 24*k**2*z + 62616*k*z - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 0.072 (c) 3 (d) -0.7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + ((-28)\/3)\/((-11)\/(-1452)). Let z = n - -1792. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.085901926 rounded to 4 decimal places?\nAnswer: -0.0859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1219.61 + 1221.61. Let p = -0.8 + -0.2. Which is the closest to k? (a) 1\/4 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i**3 - 4995*i + 2821?\nAnswer: -9*i**2 - 4995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 364926 divided by 364926?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 - -88. What is the remainder when f is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12471*k**3 + 3*k**2 - 835?\nAnswer: -74826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 + 16*i**2 + 11*i**2 - i**2 + i - i + (i**2 - 3*i**2 + 4*i**2)*(0 - 2 + 1).\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-36120)\/(-7740))\/(7\/(-4))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 142. Calculate the remainder when -1 - l*1*1 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 - 48?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 4. Calculate m(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 11\/6*n**3 + 3\/2*n**2 + 1\/12*n**4 + 14*n + 0. Let f be o(-11). Solve 10*d + 20 = f*b + 5*d, 2*d + 8 = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - c**2 + c - 1. Let w(n) = -10*n**3 + 12*n**2 + 171*n + 289. Let b(y) = 22*t(y) - 2*w(y). Determine m so that b(m) = 0.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 2*u. Let l(m) = -191*m + 31915. What is the least common multiple of i(3) and l(167)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 8*v - 6*v. Let j = v - 36. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 9*x + 64*x = 1500 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (4 + 19) - -18. Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/2*9\/(-180).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8346789.\nAnswer: 3, 11, 59, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80222 + -15668. Round l to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -814 and 0.5.\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2333 is divided by 259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2992?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 16*t**2 - t + 22. Let a be k(16). Let u(j) = -7*j**3 + j + 1. Let h be u(-1). Let m = h - -2. What is the greatest common factor of a and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (1*sqrt(2057) + -1)**2)*6 + 5)*-2.\nAnswer: -24646 + 264*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (325\/39 - 8)*21*1. Suppose -2*k + 12 = k, 3*n - 18 = -3*k. Find the second derivative of 4*d - d + n*d - y*d**3 wrt d.\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2610647 to the nearest integer?\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 15 = -v, -4*n - 2*v + 26 = -0*v. Let a(q) = -2 + q - 3 + n. What is a(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8954*s**4 + 458*s**2 - 353162*s.\nAnswer: -107448*s**2 + 916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448153 is divided by 2001?\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3)*(-4*n + n + n)*(286 - 632 - 853) in the form t*n + y and give t.\nAnswer: 2398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o**3 + 3*o. Let y(s) = 7*s**3 - s - 4. Let u(h) = -h**3 + 1. Let p(b) = -4*u(b) - y(b). Determine 11*p(n) - 4*x(n).\nAnswer: -n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -101*l**2 - 4*l - 2. Let b be d(-1). Let y = b + 105. Let f(x) = x - 7. What is f(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127 - 228. Let o = -60 - g. Suppose -2*w + a = -o, -w - 2*a - 2*a + 16 = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5294377 is divided by 43?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*m + 5501 + 524 = 0, 3*x - 3606 = -3*m. Suppose 4*d + x = 5*o, 32 = -o + d + 274. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -61, -173, -357, -625, -989?\nAnswer: -1461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5815, 2, 433?\nAnswer: 5815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -50, -35, -14, 13, 46, 85, 130?\n\"Answer: 3*v**2 + 6*v - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 4) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 - 11*j + 23. Calculate v(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 12*i**3 - 5*i**2 + 263*i - 3268. Let v(d) = 57*d**3 - 23*d**2 + 1315*d - 16340. Let n(x) = 14*p(x) - 3*v(x). Differentiate n(w) wrt w.\nAnswer: -9*w**2 - 2*w - 263","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 + -57. Let z = m - 3. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4334*u**2 - 15*u**3 - 4334*u**2.\nAnswer: -15*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9023789 is divided by 9023717.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2*o - 2*o**4 - 6 + 3*o to the form w*o + u*o**2 + j*o**3 + a + k*o**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/2*(-11)\/(-352)*120.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65 + 5967606.\nAnswer: 5967671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 34398030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a = -3*s - 91, -s + 1160 = s + 2*a + 1178 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -6. Let b(a) = 4*a + 8. Let d(k) = -6*k - 12. Let r(f) = -8*b(f) - 5*d(f). Let s be r(-8). Solve 0 = 4*z - h - s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(2)*-3 + 0 - (((sqrt(56)\/sqrt(4) + sqrt(14))\/sqrt(7))**2 - -6*sqrt(2)*2).\nAnswer: -15*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -628*z**5 + 3*z**3 - 459*z**2 + 3. Let y(q) = 628*q**5 - 2*q**3 + 455*q**2 - 2. Let h(t) = 2*u(t) + 3*y(t). Find the third derivative of h(i) wrt i.\nAnswer: 37680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8237301 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 220533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*(-1342)\/183?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66.87 - 54.9. Let o = -12 + v. Let x = o - 0.97. Which is the smallest value? (a) -2\/5 (b) 0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 20 = -4*h, 2*g + 5*h + 8 = h for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 291790, 291791, 291792, 291793?\n\"Answer: q + 291789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -608, -25, 914, 2209, 3860, 5867, 8230?\nAnswer: 10949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.069884369 and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.7 in -0.02, 0.5, 2\/15, -13, 478?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + 2 - (-25 + 28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 96\/240*-7*((-9)\/(-10))\/(135\/(-225))\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - 0.7. What is the nearest to 1\/4 in x, -1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10545 is divided by 422?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5 = 5*l, -5*l = 2*n - l + 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by -206?\nAnswer: 55\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.97007 - 0.02993. What is the closest to d in -12, 1\/5, -3, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53171857?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552886 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 306568, 1226264, 2759090, 4905046, 7664132?\n\"Answer: 306565*m**2 + m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 3*l + 4, 0 = -917*m + 912*m + 5*l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/3, -7, 1\/14, 40, -3?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4871 - 5052.8. Put 2\/11, x, -3 in increasing order.\nAnswer: x, -3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (38\/(-4))\/((-1)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 3*p - 15. Calculate l(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2357245 is divided by 336749.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, f: 10}. Give prob of sequence fnff.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1036.54 less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 663860597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/11, 4, -631?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6*-51)\/((4\/(-4))\/((-130)\/(-325)))\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 20\/7 and -37.28 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2495 - 2495. Let j = 73\/18 - 9\/2. What is the nearest to 0 in 2\/11, j, z, -6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1027, -1388, -1755, -2128?\n\"Answer: -3*n**2 - 352*n - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 at least 987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -29. Let n = l - -10.1. Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*sqrt(11) - (sqrt(44)*-1)\/sqrt(4).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8430 - 8369. Calculate the remainder when 230 is divided by w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.71 + 0.781. Let q = -0.07100069 + o. What is q rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113852 is divided by 4726?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-10\/7)*r**(-1\/9)*r)\/((r\/(r*r**(2\/25)))\/r**1) assuming r is positive.\nAnswer: r**(2426\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 33. Let z = 1 + -1. Give s(z).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*l - 14 = 0, -4*j + 2*l = -l + 17. Let c = j - -8. Solve c = 4*g - 4*f, 3*g + 5 = f + f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3221\/36 - -845\/9. Calculate the common denominator of b and ((-582)\/(-32))\/((-105)\/(-28)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 0*w - 2*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 7*d - 2. Let t be j(6). Let h be ((-12)\/5)\/(24\/t). Calculate the highest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 35)*(-1 - -2). Let x be (-2)\/(-6) + 2093\/21. Suppose 5*u - i = x. Calculate the highest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69.1, 2\/7, -0.5 in descending order.\nAnswer: 2\/7, -0.5, -69.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53.69 + -1.31. Let l = 55.000824 + q. Round l to 5 dps.\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -3151, -3 in decreasing order.\nAnswer: 4, -2, -3, -3151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-9 - -6) + 11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93.72 - -93.7189722. Round t to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 4*u**2 + 20*u - 2. Let v be p(3). Sort 3, 92, v, 0.\nAnswer: v, 0, 3, 92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3157.182 - 3327. Let h = x - 0.182. Let w = 169.9999919 + h. What is w rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = w + 140. Suppose 0 = -2*k + 3*c + 7, -3*c + w = 3*k + 2*k. Let q be (-2 - -8) + -22 + 12. Sort k, -2, q.\nAnswer: q, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -217 - 216 + 1841*r**2 + 647 - 214 to the form f*r**2 + g + k*r and give f.\nAnswer: 1841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(9\/15*(-170)\/(-102)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2400 + 8102. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/441 and ((-21)\/28)\/(11907\/1314).\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztv when three letters picked without replacement from qvzpwpt?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 5) in base 9?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - 0\/((-2)\/(-1)). Suppose t = 21*j - 19*j. Suppose 2*b + 3 = 3*b. What is the greatest common factor of b and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -17694, 2, -7\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -5402?\nAnswer: -5402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 12538.\nAnswer: 12537.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*f + 3*i + 15, i = 4*f - 11. What is the third smallest value in 0, -27\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2 + 6 - d - 6 + 5 + d**3 - 1. What is the tens digit of c(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10+24.161917\nAnswer: 14.161917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 1. Let c be m(-2). Suppose 0*k + k = c. Let z be (-8)\/(-12) - k\/12. Put -3, z, 0.4 in ascending order.\nAnswer: -3, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 96, 173, 238, 285, 308, 301?\n\"Answer: -r**3 + 84*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 - 93. Let i be -3 + 10 + 0 + j + -2. Suppose 2*d = p + 5*d - 27, -i*p - 2*d + 83 = 0. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2.4. Let r = i + 3.4. Let k be (-135)\/(-35) + -2 + -2. What is the nearest to 1 in k, 1\/8, r?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - u + 1. Let w(r) = 4*r**2 + 3*r. Let t be -4*((-15)\/(-6) + -3). Give t*y(z) + w(z).\nAnswer: 2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1437 - -1490. Solve 8*u + 37 = a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - 74. Let c = t + 164. Let w = 8 + 1. What is the highest common divisor of c and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*p + 9 = 0, 2*p - 15 = -3*p. Suppose 12*o - 7*o - 75 = q. Suppose 3*z = o, -2*z - 2 = k - 5*z. What is the remainder when 33 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0791 * 8.\nAnswer: -0.6328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 2)*(-11*a + 0*a - 3*a + a).\nAnswer: -39*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 6*x**2 - 7*x + 2. Let v be w(-7). Suppose -1677 = -v*p + 845. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 4*w**2 - 3*w**2)*(-53*w**2 + 43 - 43).\nAnswer: 371*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 + -92123375868.348.\nAnswer: -92123375868.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6654804, -6654805, -6654806, -6654807, -6654808, -6654809?\nAnswer: -6654810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -321462 + -51?\nAnswer: -321543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39 - ((-6)\/3)\/1. Let d = w - 25. Calculate the remainder when 61 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 983*l - 459*l + 3040 = 679*l - 3315 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-6)*(-6 - -11). What is the nearest to 0.3 in -5, 1\/5, u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 + 54*r**2 - 5*r + 98. List the prime factors of z(-25).\nAnswer: 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-4) + (-9)\/(-6). Let f = v - -40. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*l - 196*l**2 + 391*l**2 + 8 + 6 - 191*l**2 - 6.\nAnswer: 4*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 3) + (16 - 888\/56). Let l(h) be the first derivative of 8\/7*h**2 - 10\/21*h**3 + 1\/14*h**4 - v*h + 43. Factor l(k).\nAnswer: 2*(k - 2)**2*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13226087, -26452189, -39678289, -52904387?\nAnswer: -66130483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Calculate the least common multiple of j and (-24 - (-1218)\/56)\/((-36)\/1536).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*q - 8. Let w(r) = -2 - 4*r**2 - 19*r + r**3 - 23*r**2 + q*r**2. Is w(20) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 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: What is next in 955, 954, 953?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2 + 4 - 3. Let m(l) = -l + 3. Let n(o) = -m(o) - 3*p(o). Let q(b) be the first derivative of b**2\/2 - 1. What is n(q(z))?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n + 8. Let s = -5 + 4.6. Let m = 2.98 + 0.02. Sort m, n, s in increasing order.\nAnswer: s, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 3*r + q, -r + 34 + 58 = -5*q. What is the remainder when 26 is divided by ((-48)\/r)\/((-1)\/21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 16*u - 6*u + 0*u - 9*u + 337.\nAnswer: -2*u**3 + u + 337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**3\/3 + 89540*c**2\/3 - 29846*c = 0.\nAnswer: 0, 1, 44769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(35) + (sqrt(35) - sqrt(560))*3)\/(sqrt(5) + sqrt(50)\/(sqrt(10)*1)).\nAnswer: -4*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5863055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 3*n + 2*n - 30*n**3.\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 15*h**2 - 14*h - 35. Let f be n(16). Which is the nearest to f? (a) 2\/3 (b) -0.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3887 and 854841.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 221768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3 - 1. Suppose 3*p - g*p - 1 = 0. Which is the closest to -1\/2? (a) 2\/11 (b) -2\/19 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6*2)\/((-2)\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u - 20. Suppose -328 = 5*p - 4*v, 0*p + 3*p + 196 = 2*v. Let o = -58 - p. Calculate the lowest common multiple of 8 and h(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 538294 and 76?\nAnswer: 20455172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -497.2 - -492.2. Which is the smallest value? (a) 0.5 (b) q (c) -27.96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - (sqrt(171) + 0)) + sqrt(171))*1)**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 3*h**2 - 84 + 5*h**2 + 7*h.\nAnswer: 3*h**2 + 7*h - 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24479281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*r - 477 + 7861 = 454 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (225\/175)\/((-38)\/1330)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.2 - -3.4. Which is the closest to -2? (a) 1\/2 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 - (47 + -128 - -35)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1045821 and 284041.\nAnswer: 284041.1045821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1806205 is divided by 5557?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5437 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a century in months?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 19306*a**3 - 49*a**2 + 19304*a**3 - 38605*a**3 to q + b*a + o*a**2 + m*a**3 and give o.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 194.999962 - 195. What is v rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((4\/(-228))\/1). Let q = 89 + v. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 20. Let n = v + -18. Suppose x + n*y - 17 = 0, -4 - 7 = -3*x - y. Solve i = -3*w - 7, 2 - 4 = -x*w - 2*i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6\/91 - -261\/182. Sort f, 0.3, -4, -2\/21 in decreasing order.\nAnswer: f, 0.3, -2\/21, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 258186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21397 + 50*f + 21427 + 40*f**2 + 11*f + 4*f + 5*f**3.\nAnswer: 5*(f + 1)**2*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(784) - sqrt(784) - sqrt(784))*4)\/(sqrt(512) - (sqrt(512) + sqrt(512)*1 + sqrt(512))*-5).\nAnswer: -21*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 - 0.3. Suppose -5 = -0*a + a. Put -0.4, k, a in increasing order.\nAnswer: a, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 183*v + 600 - 2*v - 325 + 426 wrt v.\nAnswer: 181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1756 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: Is 45915 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttttt. What is prob of picking 4 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-28))\/(3\/(-21)). Suppose -3*f = -6*f + a. Suppose f = -2*d + 3. Put -1, 4, d in ascending order.\nAnswer: -1, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r*r**(2\/11)\/r)))\/r**(2\/7))\/((r\/(r**5\/r)*r)\/(r\/r**(1\/6))))**(18\/13) assuming r is positive.\nAnswer: r**(291\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/3)*x**(-1\/5))\/((x**(4\/7)\/x)\/x*((x\/x**(1\/7)*x)\/x)\/x))**(-2\/17) assuming x is positive.\nAnswer: x**(-218\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2 = 2*b - 4, 0 = b - l - 4. Let j(z) = -z**3 + 12*z**2 - 21*z + 12. Let g be j(10). Solve -g*y = 3*w + 23, -w + b*y = 2*w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43432320 (base 5) to base 4.\nAnswer: -1123111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 2*o**2 + o - 3. Let m be n(-3). Let z = 7 + -7. Suppose z*a + 117 = m*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18548 and 76144177.\nAnswer: 304576708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*m**2 - 885*m + 2958 = 0. Calculate m.\nAnswer: 34\/9, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1362, 1122, 424, -960, -3258, -6698?\n\"Answer: -38*a**3 - a**2 + 29*a + 1372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -5*p**8\/168 + 11*p**6\/60 - 2003*p**4\/24 - p**3\/6 + 119*p**2 + 9*p. Find the second derivative of m(o) wrt o.\nAnswer: -200*o**3 + 132*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-7) + 64\/(-28) + 2. Which is smaller: y or -5\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7595 divided by -1519?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 + 2*v + 1. Let z be h(-1). Let f = 15 + z. Calculate the smallest common multiple of f and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.856312 to two dps.\nAnswer: -24.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.15 and -12?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Let m(c) = -6*c**2 + 5*c**y - c**2. Let j(q) = q + 4. Let f(t) = 1. Let h(g) = -4*f(g) + j(g). What is m(h(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k + 1. Let x(h) = -h - 1. Calculate 3*s(a) + 3*x(a).\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4756628*q**2 + 29164*q - 80 wrt q.\nAnswer: 9513256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b - 19. Let s be p(-6). Let i(m) = 3*m**3 + m. Let z be i(1). Suppose -s*v + 6 = -z. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**1*v)\/v)\/v**(2\/19)*v**(-3\/7)*v\/(v\/v**(-4\/7)))**33 assuming v is positive.\nAnswer: v**(-66\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t**3\/7 - 93*t**2\/7 + 75\/7 = 0 for t.\nAnswer: -5\/6, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1031 and 3093.\nAnswer: 3093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52976 and 5805.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27392191*p**2 - 2*p + 968158979 wrt p.\nAnswer: -54784382*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-1\/4)*u)\/(u\/u**(4\/3))*u**5*u*u**(-2\/9)*(u*u*u\/(u*u**(-2\/5))*u*u*u)**(3\/17)\/(u\/((u**(-1\/2)\/u)\/u)*u**(-2\/5)) assuming u is positive.\nAnswer: u**(4109\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5668526*d**6 + 5678888*d**2?\nAnswer: 680223120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -10*c - 276. Let h be s(-28). Suppose 0 = 2*g - 3*d - 801, 0 = h*g + 7*d - 4*d - 1593. List the prime factors of g.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 298, 7 in ascending order.\nAnswer: -2, 5, 7, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 208.02120892\nAnswer: 221.02120892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*p - c + 25, 21 = -p + 5*c. Let m = p + 11. Suppose -4*h + m*h = -3*j - 5, 2*h = j + 1. Which is smaller: h or 4\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8839, 8837, 8835, 8833, 8831?\nAnswer: 8829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.5073975 and -5.4759?\nAnswer: 12.9832975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1980037391.\nAnswer: 1980037391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (888\/(-1998))\/((-8)\/6). Suppose 47\/3*w**3 - 4*w**4 + 64\/3 - 52\/3*w**2 + b*w**5 - 16*w = 0. Calculate w.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 17*q - 5. Calculate v(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3041*k**3 + 2726?\nAnswer: 9123*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eekk when four letters picked without replacement from lkkkeeklkkekekklkkkk.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 37*r**8\/12 - r**7\/210 - r**6\/60 + 1775*r**4\/24 - 7351*r**2. Find the second derivative of v(y) wrt y.\nAnswer: 20720*y**3 - 12*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 24 + 13*o + 0*o**2 + 15*o - o**2 + 9*o**6 + 12*o. What is the second derivative of w(g) wrt g?\nAnswer: 1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 13*t**2 + 3*t + 4. Let h(n) = -14*n**2 - 4*n - 5. Calculate 3*h(v) + 4*o(v).\nAnswer: 10*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-303)\/27 + 11 - -164*(-26)\/(-10764)\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-7\/2))**(-8\/5)\/((l\/(l*l*l**(9\/5)))\/l)**(-3\/5))**(-17) assuming l is positive.\nAnswer: l**(-1411\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 5:11 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 3:46 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -629, -1244, -1859, -2474, -3089?\nAnswer: -3704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2 - 143*n + 89. Calculate c(28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -23. Solve 0 = -o + z - 7, u*o + 19 = -3*z + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-138)\/(-1495)*10\/6. Let l = 1777\/26 - 68. Let c = l + a. Which is smaller: -2.3 or c?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4) - (-4)\/(-8). Let v be 1\/((2\/(-2))\/o). Which is the second biggest value? (a) -0.5 (b) v (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = c - 3*m - 4, -5*m = -3*c + 11. Suppose -c*y - 2*w = -5*y + 30, 4*w + 4 = -y. Calculate the remainder when y is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*q = 18372, -33*q + 31*q - 12268 = -2*n. What are the prime factors of n?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 4*d - 2. Let o be (-2)\/(-5) - (657\/(-15))\/3. Let h be 3\/o + (-27)\/(-15). Give p(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v = 2692. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4868 - 87743\/18. What is the common denominator of (-2)\/(-7)*18\/(-8) and l?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 856.8316 and -2.\nAnswer: -1713.6632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000111011 - 11110111?\nAnswer: 10001101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 1670*q**2 - 3355*q - 1680.\nAnswer: 5*(q - 336)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/(2\/20). Let m(t) = t**3 - 6*t**2 + 8*t - 7. What are the prime factors of m(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8989 and 303?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 12*b**3 + b**2 + b - 2. Let y be 0 + -1 + 0\/6. Does 7 divide x(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, 3, 27, 73, 147, 255, 403?\n\"Answer: w**3 + 2*w**2 - 5*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9345 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgccgcxgxcx. Give prob of picking 1 x and 1 g.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3072 = 4*c + 12*c. Is c a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5349 is divided by 222?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 2*k**2 + 10171*k - 10174*k - 12*k**3 - k**2 + 6 to r*k**3 + m + w*k + a*k**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + 9 + -10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**10)**(16\/9)\/((i*i*i*i**(-9\/4)*i)\/(i*i\/i**(2\/5))))**(2\/113) assuming i is positive.\nAnswer: i**(3493\/10170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 435 and 2244?\nAnswer: 325380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + (-3 - -9 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4137, -4557, -5257, -6237?\n\"Answer: -140*j**2 - 3997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71271 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, s: 3, u: 13}. What is prob of sequence ss?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 (base 16) in base 15?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 362969 (base 10) to base 3.\nAnswer: 200102220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441252.9m to kilometers.\nAnswer: 441.2529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.407 + -1.73276. Let f = q + 0.323. What is f rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g**2 - 542*g - 226. Let q be k(-77). Determine v so that -15\/7*v**3 - 11\/7*v**4 - 3\/7*v**q + 0 - 9\/7*v**2 - 2\/7*v = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, o: 4, i: 4}. What is prob of sequence oow?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 1742 = -1682 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4352304576 to the nearest integer?\nAnswer: 65972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5820?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4893 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 1139906907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -212700 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1488238 + 0.1488. What is x rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 45*m**5 + 600*m**4 + 740*m**3 + 240*m**2 = 0?\nAnswer: -12, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**4\/26 - 8*s**3\/13 + 20*s**2\/13 + 144. Factor m(q).\nAnswer: 2*q*(q - 10)*(q - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 9*o**2 - 8*o - 2. Let z be w(8). Let g be z\/(-5) + (-296)\/(-10). Let q be (44\/6)\/(4\/g). What is the greatest common divisor of q and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53788, -54002, -54286, -54646, -55088, -55618, -56242, -56966?\nAnswer: -57796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 3*z - 3*n = 6, 4*z + 3*n = 29. Let d(y) = 17*y + 4 - y**2 + 3 + z. List the prime factors of d(17).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 5 - (4 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(12*4))\/(9\/54)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**4\/102 + 8*k**3\/51 - 16*k**2\/17 - 3*k. Factor q(h).\nAnswer: -2*(h - 4)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 - 2*w**5)*(3 + 2 - 7)*(-1 + 3 - 6).\nAnswer: -16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + -3.5. Let n = 7 + w. Let x = 15146 - 15147. Which is the closest to x? (a) n (b) -13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.9. Let j = -258.78 - -259. Let d = n + j. Round d to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8348932462 from 0.03.\nAnswer: -8348932461.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 0 + 0)*(195 - 44 - 34) to b*q + y and give b.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + d - 2, 14 = -4*r - 2*d - 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1569*h + 7989. Calculate z(-5).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-5\/4)*s**3*s*s)**(2\/83) assuming s is positive.\nAnswer: s**(19\/166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2041\/4 - -510. Sort m, -63, 0.\nAnswer: -63, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*t = -3*u - 339*t + 22, -4*u - t + 33 = 0. Which is smaller: 199 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1471 in -0.5, -351, -1\/3, 0?\nAnswer: -351","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -352543534 - 32?\nAnswer: -352543566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 81, 141, 211, 291?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68.61 - 69. Let q = -0.14 - -0.03. Let p = q + x. What is the closest to 1\/2 in 0.4, 0.2, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -28536*k + 697. Let q(j) = 82*j - 2. Determine -2091*q(t) - 6*r(t).\nAnswer: -246*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 4:12 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 23 + 2)*(-1 + 1 + c**4) - 4*c**4 - 2*c**4 + 4*c**4)*(2*c - 3*c - 6*c).\nAnswer: 182*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbwzbtn. Give prob of sequence wnbt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**3 + 108*b**2 + 63*b - 9. What is p(-21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*z**2 + 261*z**2 + 14714*z**3.\nAnswer: 14714*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - 13?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5)*d**(-1)*((d\/(d\/d**(2\/5)*d)*d)\/d)**(-39)*(d**(-2\/5)\/d*d**1\/d)**(13\/3) assuming d is positive.\nAnswer: d**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1015*r - 25 = 347*r - 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 0.212, 2, 5.\nAnswer: 0.212, 2, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -27, -39, -53, -69, -87?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25, -51, -93, -151, -225, -315?\n\"Answer: -8*u**2 - 2*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddgdhthhdgdhghtdhddh. Give prob of picking 1 d and 1 t.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9754, -19494, -29234, -38974?\n\"Answer: -9740*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -40\/57 (c) 0.06 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15462 divided by 22.\nAnswer: -7731\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 6. Calculate the remainder when (15 - (-2 - -1)) + 0 is divided by d(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 6*l - 8448, 6*t - t - l - 8462 = 0. What is the lowest common multiple of 18 and t?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 122798658 + 110*s + 2*s**2 - 122798866 - 42*s as f*s**2 + k*s + a and give a.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 20986373?\nAnswer: 188877357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -70032 (base 8) to base 2\nAnswer: -111000000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (7 - 1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 876*u**2 - 293*u**2 - 289*u**2 - 4*u**3 + 15*u**3 - 294*u**2.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41\/57 - -1\/19. Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55 - (-61 + 29)) + 4\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 1650*k**3 + 1646*k**3 - 4*k + k - 3385*k**2 + 3385*k**2.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**4 + j**3 - 7*j**2 - 4*j - 6. Let h(u) = 4*u**4 + 7*u**2 + 3*u + 5. Let v(p) = 5*b(p) + 6*h(p). What is the third derivative of v(t) wrt t?\nAnswer: -24*t + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/18)\/((-46)\/207)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b. Let t be s(0). Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 351 + -243. Let a = 107.967 - z. Let q = -0.03158 - a. What is q rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -53*o**2 + 8*o + 3. Let j(z) = -52*z**2 + 7*z + 3. Calculate -7*j(f) + 6*r(f).\nAnswer: 46*f**2 - f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 1744 and 31.6951546.\nAnswer: 1775.6951546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-20) + (-72)\/(-15). Let d be 2\/8 - 1\/p. Solve -2*r - r - 6 = d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/17)*o*o*o**(-11)*o)**(-12\/11) assuming o is positive.\nAnswer: o**(1404\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1012451 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1071.3 + -1071. What is the closest to -2\/5 in i, 1, 51?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((25\/6)\/(-5))\/(6630\/(-270504))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3\/7 + 3579*s**2\/7 - 611448*s\/7 - 42386748 = 0 for s.\nAnswer: -203, 698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 minus -4301760981?\nAnswer: 4301760948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*p, -2*s + 8 = 2*p - 0*p. Solve -3*w + s = 4*y - 5, 0 = -4*w - 3*y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 5)\/((-2)\/(-6)). Let q(c) = -4*c + 1. Let t be q(v). Suppose 2*y + 3*y - t = 0. Solve -11 = y*s + n, 0 = -2*s - 2*s - 4*n - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -146601, -293200, -439799, -586398?\n\"Answer: -146599*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 - q**2 + 5*q - 1. What is s(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 4, 34, 0 in decreasing order.\nAnswer: 34, 4, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 5.2, 3\/13?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18521265 and 6021?\nAnswer: 166691385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 362628339 to the power of 1\/2, to the nearest integer?\nAnswer: 19043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1595636 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**1*i))**18*(i*i**(2\/3))**(-10) assuming i is positive.\nAnswer: i**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + 50 + (-21 - 9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k + 5*o + 2, 4*o = -4. Suppose -k*y + 22 + 5 = 0. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.10171 * -0.4.\nAnswer: 0.040684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27\/5 - 179\/35. Sort -0.2, s, -5, -2 in decreasing order.\nAnswer: s, -0.2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*10\/(-15).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-2 - sqrt(132))\/(sqrt(36)\/(-1*sqrt(12) - sqrt(12))).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 3*b)*(-b**2 + 3*b**2 - 9*b**2) - 297*b**3 + 2 + 92*b**3 + 123*b**3 as y + g*b**3 + m*b**2 + o*b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10114, -9814, -9476, -9082, -8614?\nAnswer: -8054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 - v**2 - 26*v + 7. Determine r(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2852055*v**4 - 3*v**2 + 5541*v + 2263 wrt v?\nAnswer: -34224660*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112649049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004435576502 rounded to five decimal places?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -361 or -115?\nAnswer: -361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.00868 rounded to 1 decimal place?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48310 or -46\/13?\nAnswer: 48310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6370, -6363, -6366, -6385, -6426?\nAnswer: -6495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -11*b**3 + 3*b**2 + 4*b + 1. What is the least common multiple of l(-1) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*((-5)\/1 + 1). Let s = x - 1. Let p = 86 + -84. Which is the nearest to p? (a) 2\/7 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 3*u**5\/4 - 11*u**4\/12 + u**3 + 25*u**2 + 87*u. Let d be w(-9). Round d to the nearest 100.\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 101*m + 2661. Calculate n(-26).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487 = -253*h + 506 + 10898 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 2. Suppose -k*l - 3 = -5. Let n be 1\/(-1) + 8\/7. What is the nearest to 2\/5 in l, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 k when two letters picked without replacement from {u: 4, k: 1, z: 1, e: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2 - 10600690*i - 28093657119025 = 0.\nAnswer: -5300345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 1175 + 1789. Let y be -1 - (4 - c\/288). Is -1 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by -17\nAnswer: -61\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -103, -101, -97, -91?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4069 (base 14) in base 11?\nAnswer: 8353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/20*(-32)\/(-36).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/2351 or 1?\nAnswer: 18\/2351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/2 - (6 + -8). Suppose -9 + 15 = -g*s. What is the tens digit of 14\/s*-21 - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 10. Factor 2*m**2 - l*m**2 + 3*m**2 + 1.\nAnswer: -(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 11:15 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -248 (b) 0.5 (c) -0.4 (d) -4 (e) 0.25 (f) -6 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrrvbwu. Give prob of sequence urw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x - 15. Let w be (-6 - 1)*7\/(-7). Let t be v(w). Suppose 10 = t*f - 19*f. What is the remainder when f is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4373*a**3*l**3*v**3 - 12251*a**3*l**3*v - 7*a**3*v**3 - 2*a**3 + 301*a*l**2*v**3 - 83*a*l*v**2 - l**2*v**2 wrt l.\nAnswer: 26238*a**3*v**3 - 73506*a**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**2 + 29487482*d\/7 + 8424996\/7 = 0?\nAnswer: -2\/7, 2106249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**5\/120 + b**4\/4 - b**3\/6 + 5*b**2. Let i(s) be the first derivative of x(s). Does 11 divide i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 17, -16\/3, -0.9 in descending order.\nAnswer: 17, -0.9, -3, -16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 297440*b + 4423527680.\nAnswer: 5*(b - 29744)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= -997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 4*l**3 + 5*l**3 + 0*l - 1 - 12*l**3 to r*l + i*l**3 + m + x*l**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7 = 5*d + 2, 3*s = 5*d + 30. Sort -2, s, 2 in ascending order.\nAnswer: -2, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 2*y**2 + 0*y**2 - 3*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*a + 280 = 437 + 454 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 12*p**2 - 17*p - 15. Let m be x(-11). What is the highest common factor of 204 and m?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(110)\/(sqrt(40)\/sqrt(4)) + 1)*3.\nAnswer: 9 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -29 (b) -0.6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*u + 3)*(-1 + 2 + 3) + (4 - 2 - 3)*(3*u + 0 + 0) - 3*u + 4*u + u + 2*u - 2*u - 2*u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -4, 5, 2, 86, -44 in ascending order.\nAnswer: -48, -44, -4, 2, 5, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 8. Let k be 3\/(-2) - 14\/4. Which is the smallest value? (a) n (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**2 - 90*r + 85 = 0.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -671 - -739. Let x(l) = l**3 - l**2 + l + 17. Let y be 4 - (6 + (-4)\/2). Let j be x(y). Calculate the greatest common factor of g and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390\/(-10296)*-33*64\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, 5\/44, -0.2?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 11:05 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9986 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + s**4 - s**4)*(2*s + 0 + 0) - 63*s**5 + 1310*s**4 - 1310*s**4 + (2*s**3 + 3 - 3)*(0*s**2 - 4*s**2 + 3*s**2).\nAnswer: -67*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4170053, 16680216, 37530489, 66720872, 104251365?\n\"Answer: 4170055*t**2 - 2*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 39 + 31 = 0. List the prime factors of (12\/30*-89)\/(x\/30).\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-5) - 69\/(-5). Suppose g - 5*a - 10 = 6, 0 = 2*g - a - u. Suppose c + c = g. Put -1, 2, c in decreasing order.\nAnswer: c, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6445*d - 4*t - 85 = -6450*d, -15*t = 225 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 743*f + 1894*f + 478*f.\nAnswer: 3115*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 3*v**2 - 3*v**2)*(-v + 1 - 1) + (2*v**2 + 2*v**2 - 2*v**2)*(v + v - 4*v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*t - 374 - 319 = 0. Suppose -7*s - 5 = -3*s - k, 0 = k + 3. Let h(w) = 2*w**3 + 2*w**2 + w - 1. Let v be h(s). Is t greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13802\/(-14) - 7\/49. Is -986 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 376?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421719.\nAnswer: 3, 17, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 115246 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -182 + -105 + -83 + 284?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1389050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1912268*-0.2\nAnswer: -382453.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3 - (-100)\/3. Let a = f - 17. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -86.4272 to one dp.\nAnswer: -86.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -50626 + -7?\nAnswer: -50633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*d + 10 - 10 + (-1 + 5 - 3)*(4*d - 2*d - 3*d) + 3*d + 4*d - 4*d + d + 2*d - 4*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479437868?\nAnswer: 2, 7, 13, 19, 181, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 222821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5089630 and 615230.\nAnswer: 55985930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174922 and 772.\nAnswer: 67519892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 644, 421, -672, -2635, -5468?\nAnswer: -9171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 5*f**2 + 8*f + 6. Let g be l(-6). Let o = g - -8. Suppose a = o*n + 9 + 4, 28 = a - 5*n. Solve -2*z - 20 = a*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 9 = -3. Let s(m) = m**3 - 3*m**2 + 2. Let f be s(b). Find the second derivative of a**2 + 6*a**f + 2*a - 3*a**3 - 7*a**2 wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 655 = 15*j - 20*j, 263 = 2*x - 3*j. Suppose 5*o - x = -5*y, -o + 3*o + 3*y = 56. Calculate the lowest common multiple of o and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8951 * -0.2\nAnswer: -0.17902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 1:26 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2102110310 + 233?\nAnswer: 2102111203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 6\/21)\/(88\/616)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 15, 19*y - 16*y = -s + 65. Solve u + 4*a - y = 0, -5*u - 2*a + 10 = -0*a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9852691 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3476290 minus 234380.13?\nAnswer: -3710670.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 + 112089357\nAnswer: 112089356.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5, 2, -1\/11, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**4\/4 - q**3 - q**2 - 4*q + 3. Let t be z(4). Suppose 44 = -0*l + t*l. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22272 and 13844832.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6030 divided by -2010.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 13. Let v = -10 - -43\/4. Let c = -0.1 + -0.1. Sort z, v, c in ascending order.\nAnswer: c, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 3, 3\/166, -159?\nAnswer: 3\/166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 327, 280, 191, 54, -137, -388, -705?\nAnswer: -1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 154 + 17*r**4 + r - 154 + 2*r**2 as l*r**4 + u*r + k*r**2 + s*r**3 + c and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 + 4 - (3 + 0) - -95. Let v = r - 83. Solve v*y = -21 + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -93448, -5, 1\/48, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 224\/(-42)*(-3)\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 654 = 4*k, -v = -9*k + 4*k - 330. Is v a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2085*s - 2051*s + 52768. Which is smaller: -1550 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/(765\/297) - (-304)\/12?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 + -69.012. Let n = p - 0.288. Which is the closest to -1\/7? (a) -0.4 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -64*q + 58. Determine m(0).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*b = 4, 3*y + 3*b - 2 = 5*y. Solve -y*f + 0*f = 5*i - 8, f = 5*i - 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*29\/((-4466)\/264)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*6 + (sqrt(19) - sqrt(76)*4))**2.\nAnswer: 41971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 28069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333043167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 18*g + 20 = 0. Let u(q) = 1 + 8 + q**3 - 3*q - 2 - g. Let b(w) = -w**2 + 7*w - 9. Let f be b(6). Give u(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**6*o\/(o\/(o*o**5)*o))\/(o**3*o*o**(-3\/2)) assuming o is positive.\nAnswer: o**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -4 = 2562106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 0*c**3 + 0 + 3\/160*c**6 + 0*c + 1\/16*c**4 - 2*c**2 + 1\/16*c**5. Factor y(a).\nAnswer: 3*a*(a + 1)*(3*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242 + 1806 + 901 = -389*z - 552 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16116359.3083287 - -0.3\nAnswer: -16116359.0083287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(4\/4) + -7. Let v(s) = -2*s - 13. Let q be v(m). Let k = 2.8 + -3. Which is the nearest to -1? (a) k (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (0 - 1) + -510 + 511.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 7 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -205)\/(-17) - 784\/68\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1567 divide 44790738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5\/2)\/w**3*((((w**(-3)*w)\/w)\/w)\/w)\/w*w*(w**(1\/11)*w)\/w*w)**(-27\/5) assuming w is positive.\nAnswer: w**(5589\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -44. Suppose 18 + 13 = 3*a + o*s, 5 = 5*a - s. Solve -a*r + 1 = m, -5 = -4*r - 0*m + m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -47, 90, 281, 526?\nAnswer: 825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*c + 162 = 2*c, -4*c - 450 = -5*h. Put -11, -3, h, 4 in ascending order.\nAnswer: -11, -3, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5) + (2 + sqrt(30)\/sqrt(6))**2 + 5 + sqrt(125)).\nAnswer: -20*sqrt(5) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507285777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 40. Let k be i(14). Suppose -5*h + 5*y + 15 = 0, -h = -2*y + 1 - 4. Solve -4*w + h*x - 6*x = -12, -4*w - 2*x = -k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) - (-11)\/(-51). Let x = -1.47297 + 0.47297. What is the smallest value in t, x, -15\/8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -2 - 50\/42. Is t equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 2*f. Let n(b) = -b. Let y(q) = 4*n(q) + 2*z(q). Let k(d) = -46*d**2 - 46*d**2 - 51*d**2 + 142*d**2. Calculate y(k(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -93, -42, 31, 78, 51, -98?\n\"Answer: -8*r**3 + 59*r**2 - 70*r - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -139 (b) 2\/17 (c) -3 (d) -13455\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13582 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 143873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (64*p**2 - p**3 - 197*p**2 + 67*p**2)*(-4 - 2*p + 4) to o + u*p + h*p**2 + f*p**3 + i*p**4 and give f.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99172 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + v - 10, w + 0*v = -v. Let z = -398.089 - -2.289. Let a = -396 - z. What is the fourth smallest value in -2\/5, a, w, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 6*s - 5*s)*(s + s - 5*s + s - 4 + 4 + (-3 - 2 + 2)*(-3*s + 2*s + 2*s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 11*o + 135 + 34 - 5 + 14*o. Let k be t(-22). Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3933.2909 + 17.6?\nAnswer: -3915.6909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 8:51 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -171 - -175. Is 17 a factor of 142 + i\/6*(-1 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 47\/5 + 6\/(-15). Let n(u) = u**3 - 8*u**2 - 9*u + 6. Let i be n(v). Solve -2*t + 6 = -2*z, -2*t = 2*z - i*z - 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7637*w**2 + 3827*w**2 - 14*w + 3824*w**2 + 64. Let b(g) = -5*g**2 + 5*g - 21. Give -11*b(u) - 4*t(u).\nAnswer: -u**2 + u - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -27168 (base 11) to base 10\nAnswer: -38794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(204)*2 + sqrt(204)))\/(-1*sqrt(972)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1959 = 532*j + 9268 + 1009 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -16*v + 72. Suppose -4*n + 3620 = 4*f, -3*f = v*n - 1566 - 2059. Is n a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 36153?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -22888, 7, 35 in decreasing order.\nAnswer: 35, 7, -4, -22888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 12*f**2 - 16. Suppose -292*l = -302*l - 480. Let b(t) = t**2 - 1. Give l*b(o) + 3*n(o).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -87, -83, -77, -69, -59, -47, -33?\n\"Answer: z**2 + z - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 + 127. Suppose -13*j = -r*j - 36. Let a(p) = -23*p - 4 - 8*p**2 - 6*p**2 - 5. Let o(q) = 5*q**2 + 8*q + 3. Calculate j*a(x) + 17*o(x).\nAnswer: x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*w = -772 - 1156, -5*w = -l + 403. Let a = 1787 - l. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 588\/45 + ((-26)\/(-6))\/(52\/(-156)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:38 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.0599 times -0.8\nAnswer: 1.64792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.153 - 0.153. Which is the second biggest value? (a) 5 (b) o (c) 2\/7 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 + 42.7. Let r = -18 - s. Let p = 13 - 18. What is the closest to 0.1 in r, 4, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2 - 4) + (-13 - -12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8516600 rounded to the nearest one hundred thousand?\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 2*u = -75. Let d be 4\/(-14) - ((-2320)\/(-35))\/(-8). Let m be d\/44 - 84\/(-22). Solve 0 = m*y - 1 - u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11544862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6\/13)\/n**3*(((n*n**(-3\/5))\/n)\/n)**4 assuming n is positive.\nAnswer: n**(-641\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*r - 7. What are the prime factors of 29 - (3 - (r + -3))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c = 113*c - 156 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a day in minutes?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34149 + 54612. What is the ten thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4379711561?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*w + 3. Suppose w*l - 8*l = -5*n - 335, -2*l - 2*n + 154 = 0. Round l to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115167711 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -4 = -0.059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - d + 12*d**3 + 44*d**3 - 15*d**3. Let h be m(2). Let p = 77 + h. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 242777 = 2*d, -4*g - 37*d = -42*d - 971108. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/((51\/(-17))\/60).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**35\/g**(-27))\/(g*g**2)**(3\/2) assuming g is positive.\nAnswer: g**(115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 11*q**2 + 3*q**4 + 2*q + 2*q**4 - 1 + 13*q**2 as b*q + m*q**2 + o*q**4 + k*q**3 + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434*x - 193 = 153*x + 88*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351344439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 34?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*d**2 + 0 + (-3*d + 3*d + 3*d)*(-3*d - 4 + 4) to r*d**2 + w*d + q and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8*d**3 + 2*d**2 + d. Let p be y(-1). Let w be 0\/1*p\/(-7). Solve 8 = a + 2*j, 5*j - 15 + 5 = w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105.06 + 105.36. What is the third biggest value in -2\/3, -2, 26, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14 + 2*r**4 + 8*r**2 + 17 - 3*r**4 + 120*r**2 - 32 + 5*r**3 wrt r.\nAnswer: -24*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 37. Suppose -l - 18 = 2*l + 5*t, 2*l + 11 = -3*t. Let c be (l - 38)\/(3\/(-18)). Calculate the greatest common factor of c and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**4\/2 + f**3 - 109*f**2\/2 - 55*f = 0.\nAnswer: -11, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23859, -23455, -23021, -22551, -22039?\nAnswer: -21479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11082576 and 32451?\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 - -3) - (-55 - -55)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + (-3 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = 5*n + 41, 22 = -2*n - 4*o. Let w(f) = -f**3 - 30*f**2 - f - 32. Let x be w(-30). Let k be (-2 - -1)*2*-1. Sort x, k, n in descending order.\nAnswer: k, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 40*o + 196. Let j be y(-5). Let h be (0\/2)\/(1 + 1). What is the closest to 0 in j, h, 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 7. Let l = 173 + -179. What is the remainder when s(l) is divided by 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 71948.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 204487 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 + -5.8. Which is bigger: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*r - 4*m, 0 = -243*r + 241*r - 3*m + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 - -52.5. Let x = 3 + -3.02. What is the second biggest value in x, 1\/7, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*k + 14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -222131?\nAnswer: 222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 3*y + 3*y)*((-5 - 7*y + 5)*(99 - 10 - 52)*(-2 + 3 - 3) + y + 2*y - 4*y).\nAnswer: 517*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 39 + 0 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 5:23 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*z = -2*z + 5, -5*f - z = 1. Let b(l) = -9*l**3 - 1. Calculate b(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -245 + 241. Let r = -89\/6 + 15. What is the smallest value in r, q, 30?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p = 145 + 62 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3\/4 - 1569*p**2\/2 + 820587*p\/4 = 0. Calculate p.\nAnswer: 0, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/(-15) + 3 - -20*(-19)\/950\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1741*k**3*o - 9901108*k**3 - 5*k*o + 9*o - 1 with respect to o.\nAnswer: -1741*k**3 - 5*k + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 87239, -13 in descending order.\nAnswer: 87239, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c. Let l(a) = -4470*a + 3. Determine u(l(m)).\nAnswer: 8940*m - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*(-2)\/4)\/1. Suppose 4*t - 15 - 5 = 0, t = 2*c - p. Let x = 12 + -2. Solve -v = -c*d - 9, v - 3*v + x = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.716 + 0.324. Let y = 7.0971 - l. Round y to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 919 + -474. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-280)\/(-30)*((-40)\/28 - -4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/184002 and 101\/736008?\nAnswer: 736008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 66, 178, 364, 624, 958, 1366?\n\"Answer: 37*b**2 + b + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + z + 4 = -z, z = 0. Solve -v*c + c = -5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**3 + 20*n**2 + 2*n - 20 = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Suppose -n*f = -27 - 21. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 + -45. Suppose -q*t = 21 - 30. Let k(c) = c + 16. Let h be k(-16). Solve r + 2*g - 3 - 5 = h, -t*g + 12 = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzzzzcccct. Give prob of sequence tczt.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -28. Find the third derivative of -b**w + 23*b**2 - 70 + 70 wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3548342100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-6 - -11) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*z + 11*z**5 + 51*z + (-z**4 + z**4 + z**4)*(2*z + 3*z - 2*z).\nAnswer: 14*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 724 times -104.744\nAnswer: -75834.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*r**2*y**3 - 229605*r**2*y + 68677*y**3 + 67*y with respect to r.\nAnswer: 12*r*y**3 - 459210*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, -5, -10, -15, -20, -25?\n\"Answer: -5*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -18, -5, 4 in decreasing order.\nAnswer: 4, -3, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 187*a**2 + 6718*a + 6098. Find the first derivative of z(k) wrt k.\nAnswer: 374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23 and -0.09.\nAnswer: -23.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 725120 to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5743536022?\nAnswer: 2, 7, 193, 2125661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of p*y - 2973*p + 230*y wrt y.\nAnswer: p + 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18835*y + 18855*y + 80. Put -186, -10, y in ascending order.\nAnswer: -186, -10, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 - 51. Let j = 41 - r. Factor 2*k - 1 - j*k + 5 + 11*k**2 - 7*k**2.\nAnswer: 4*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**2 - 1. Let y(a) = -43*a**2 + a - 6. Let i(f) = 6*w(f) - y(f). Suppose -2 = 2*v - 0. Calculate i(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, 3\/4, 5, -140, 15\/4.\nAnswer: -140, -0.12, 3\/4, 15\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17 and 3 + 4 + 0 + -4?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by 524?\nAnswer: 15\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 25*g + 96. List the prime factors of i(19).\nAnswer: 13339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from {s: 1, m: 2, y: 2, p: 1, q: 2, x: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b + 2 - 3 - 3*b**2 + b**3 + 8*b**2. Let u be p(-6). Solve 0 = u*c - c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 b, and 1 o when three letters picked without replacement from qwybjow?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 6*t**2 + 16*t + 131. Let s be p(-6). Solve 0 = c + 5*y + 29, c - 3*y = 6*c + s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/18*(-36)\/(-16).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 5*k**6\/6 - 2*k**5 - 25*k**4\/4 + 50*k**3\/3 + 10*k**2 - 40*k + 717. Suppose u(n) = 0. Calculate n.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 9:10 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 27 + -156 + 114.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1090\/7 + -156. Sort 0.2, b, -11, 2\/7 in decreasing order.\nAnswer: 2\/7, 0.2, b, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(350)*-2)\/sqrt(10))\/sqrt(7) + 5)**2.\nAnswer: -20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = z, -18 = -3*z - 2*z + 3*p. Suppose -43 = -4*q + z*q. Find the second derivative of -10*x - q + 15*x**5 + 43 wrt x.\nAnswer: 300*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 5*h + 5*h)*(-2*h + 2*h + 4*h)*(1 + 5 - 4).\nAnswer: 80*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-9)\/36*1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-4))\/((-5)\/(-40)). Let d be 4\/6 + 8\/t. Solve -d*q = 5*m, -3*q = -4 - 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13079964, 13079986, 13080008, 13080030, 13080052?\n\"Answer: 22*b + 13079942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 15700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137564, 275161, 412798, 550475, 688192, 825949?\nAnswer: 963746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*l + 259*l = -556 + 13309. Calculate the least common multiple of 30 and l.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217099 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2159 and 5.\nAnswer: 10795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 5, 1\/9, -178, 0.1, 21 in ascending order.\nAnswer: -178, 0.1, 1\/9, 2\/11, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -168*x**3 - 9\/2 + 57*x**2 + 57\/4*x = 0?\nAnswer: -2\/7, 1\/4, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011 + 0?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 12*a + 20. Let l = 343 - 356. Calculate h(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 + 234?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2881 and 3741?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - ((-9 + 26 + -7 - -16) + 12).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75850.55g to nanograms.\nAnswer: 75850550000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 53 - 34 + 1953*t.\nAnswer: 1953*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*d + 12, 8 = 4*t + 2*d. Suppose -2*p - h = -125, p - 72 = -t*h + 8. List the prime factors of 2 + p + 12\/4.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 16 = s, 398*r - 395*r - 6*s - 33 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 642067.7ml?\nAnswer: 642.0677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (28\/14)\/(((-28)\/20)\/7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2 - 56*l - 216. Let u be q(-6). Calculate the highest common factor of 69 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45196411037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 24 - -5 - (-6 + 3) - -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s - 2*s)*(3 + 1 - 3) + 10 - 10 - 4*s + 3 + 2*s - 3 + (3 - 2*s - 3)*(-6 + 4 + 0) + 4*s + 0*s - 2*s - 5*s + 4*s - 3*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1056.788827 to the nearest integer.\nAnswer: -1057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 4736 = 17*x + 24*x. What is the remainder when 451 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1714*n - 6672. What is b(-4)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-36)*-3)\/(-4*(-115)\/138)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.22 in 0, 3, 0.2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/(84\/(-20)))\/(32\/(-24)). What is the third biggest value in 0.3, y, 2\/5, -22\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2. Let m(z) = -3*z + 1. Let w(n) = 16*n - 3. Let p(v) = 3*m(v) + w(v). Let u(s) = 2 - 84*s - 2. Let x(q) = 49*p(q) + 4*u(q). What is x(d(l))?\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/((-3)\/(-46)*(-2)\/(-12)). Let h = 380 - r. Calculate the smallest common multiple of h and 52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 14. Let h be q(10). Solve -2*d + d = -h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-125 - -21)\/(-3 - (-5 - -4)). Let i be -1 - (2 + -1) - -54. Is x at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4492189754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 8, q: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 133\/(-21) + 1\/3. Let o be -2 - (0\/2)\/1. Let u = 193 - 198. Sort s, u, o in ascending order.\nAnswer: s, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -791 - 19*d**2 + 34*d**3 - 807 + 1598 + 19*d**2.\nAnswer: 34*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + f + 4*f)*(-1318*f + 2643*f + 3621*f**3 - 1325*f).\nAnswer: 28968*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3958474528 to the nearest integer?\nAnswer: 62916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t + 4. Let n be f(-4). Suppose -18*j + n = -10*j. Solve 0 = -y + u, j*u + 35 = -3*y - u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 622 divide 5157065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 7)*(-3 + 1 + 1)*(-6*c**5 + c**5 + 2*c**5) + 177*c - 177*c + 23*c**5 + 0*c**5 - 3*c**5 + c**5 + (-2*c + 2*c - 2*c)*(0*c**4 + 2*c**4 + 0*c**4).\nAnswer: 26*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -2 (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (10 + -6 - (4 + 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**(2\/3)\/i)))**(-1\/3) assuming i is positive.\nAnswer: i**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = -7 + 163. Let h(r) = r**3 - 13*r**2 + 6. Give h(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110010220 - -120110220?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -2\/7, -5, -0.3, -5\/9 in decreasing order.\nAnswer: 1\/5, -2\/7, -0.3, -5\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/5)\/(s*s**(-3)\/s*s))**(-1\/7)\/((s*s\/s**4*s*s**(-2))\/((s*s**(-1)\/s)\/s*s*s)**45) assuming s is positive.\nAnswer: s**(96\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24531 (base 10) to base 3.\nAnswer: 1020122120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2304 - 114105?\nAnswer: -111401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2446183, -4892365, -7338547, -9784729, -12230911?\n\"Answer: -2446182*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*y - 16*y - 18*y**2)*(3 - 3 + y) + y**2 - y**2 - y**3 + 0*y**3 - 3*y**3 + y**3 + (-y + y - y**2)*(y - 3 + 3) - 11*y - 3*y**3 + 11*y.\nAnswer: -25*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 4) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 0.1 (b) 1787 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x - 3*x + 3*x + (2 - 2 + x)*(0 + 2 - 1) + 6*x - 3*x - 2*x)*(64*x**3 - 19*x**3 - 129 - 44*x**3)*(-3*x + x + 0*x).\nAnswer: 10*x**5 - 1290*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a**2 - 3*a + 5. Let w be 3 - (35\/49 - (-6)\/21). Let j be x(w). Calculate the greatest common factor of 27 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*k - k + 7, -2*f - 16 = -2*k. Let u be 0 + (-3)\/((-3)\/2). Suppose 5*h - u = 23. Put h, k, -1 in descending order.\nAnswer: h, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/9 - 1048*o**4\/9 + 6938*o**3 - 1290740*o**2\/9 + 8420632*o\/9 + 1086096 = 0. Calculate o.\nAnswer: -1, 22, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.77 + 2.96. What is b rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p. Let n(z) = -52*z. Give n(t(m)).\nAnswer: 52*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.1 - -1407.\nAnswer: 1403.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f. Let r(s) = 523021*s. Calculate r(z(o)).\nAnswer: -3661147*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-1*sqrt(168) + sqrt(168))\/sqrt(7) + 1*1*sqrt(24)))\/(4*(sqrt(12) + 3*sqrt(120)\/sqrt(10) + sqrt(12))*4).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -327 greater than -327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 3*z**5\/20 - 7*z**4\/3 + 7*z**3\/6 - z**2\/2 + 13*z - 93. Determine k(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 504 + -2518\/5. Let c = 0.24 - -0.06. Sort 9, z, c, 5 in increasing order.\nAnswer: c, z, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17372 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 167.649 + -0.149. Let x = -161 + t. What is x rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a week?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f - f + 23*f - 17*f. Let d(l) = 13*l**2 + 4*l. Let s(z) = 130*z**2 + 39*z. Let y(n) = 39*d(n) - 4*s(n). What is y(w(x))?\nAnswer: -117*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -521, -502, -483?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -5, -3\/7, 0, -199?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*v**2*w**4 - v**2*w**3 + 7*v**2*w + 2*v*w**2 wrt w?\nAnswer: 648*v**2*w - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.9 - 25. Which is the third smallest value? (a) -2 (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8486524 - 22178520. Let s be 3 + (-25)\/15 - i\/3. Round s to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15643, -15624, -15597, -15562, -15519, -15468, -15409?\nAnswer: -15342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 + ((-60)\/(-15) - 10). Solve -3*f = 4*s - 19, -4 = s + 6*f - q*f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15)\/12)\/5)\/((-19)\/(-19))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 424279, -2, 8 in decreasing order.\nAnswer: 424279, 8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -852*p**2*r**2 + 16*p**2 + 33546*r**2 - 13 with respect to p.\nAnswer: -1704*p*r**2 + 32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veg when three letters picked without replacement from veeegegge?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34826 - 34807. Solve -18*v - 1 = -k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j**2 - 517*j + 70. Let m be u(-74). Let p(c) = 2*c**3 + 9*c**2 + 7*c + 4. Give p(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 + 443*k**2 - 226*k - 874. Give b(-222).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.1 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -18.481 and 30787.\nAnswer: 30768.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 4127415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 - 74*x - 16. What is y(7)?\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 + (-33)\/9)*107001\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 z, and 1 e when three letters picked without replacement from tevzy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(-3*-1*sqrt(21) - sqrt(21)))\/(1*(sqrt(108) - sqrt(108)*-1) - sqrt(108)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2905 - -4753. Suppose 4*a + 1373 = 3*b, b + 3*b - a = x. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 30097*i + 361159. Determine j(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1142466208.\nAnswer: 2, 13, 181, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 52\/598 + 192008\/(-46). Round d to the nearest one hundred.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1163*s - 2850 = -1168*s. Solve s*h - 577*h = -7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.36 - -1.195847\nAnswer: 3.555847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 6. Let x be u(5). Let i(z) = -z**3 + 11*z**2 + 9*z + 14. Is i(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1150013 (base 9) to base 2\nAnswer: 10011000001011001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 182*h + 3666. Determine g(-20).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2. Let l(t) = 2783045*t**2. Determine d(l(w)).\nAnswer: 15490678944050*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 10*b + 2*b)*(-2*b + 3*b + 0*b).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65331 and 6851?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/18 in 0.3, -6\/5, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v - 3*v - 854*v**2 + 692*v**2 to the form g*v + l + x*v**2 and give x.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and 12.\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41805 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**6\/720 - 5*z**4\/3 + 28*z. Let t(m) be the third derivative of d(m). Give t(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 2*w**2 - 6*w + 9. Let z be c(0). Let v be 3 - 0\/(z + 2). Solve -12 = 3*o, -v*y - 8 = -0*o + 2*o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1179 by -870.\nAnswer: 393\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-5))\/((-16)\/40). Suppose 3*r = l - 17. What is the second biggest value in 2\/3, 3\/4, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 i when four letters picked without replacement from {i: 4, r: 6, m: 3}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 255256.6 to the nearest one hundred.\nAnswer: 255300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s**4 + 18395*s**3 + 2 + 33*s + s**2 - 18398*s**3 - 3*s**4 in the form c*s + j*s**2 + q*s**4 + l*s**3 + i and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 1\/45, 1, -12, 0.5, 3 in increasing order.\nAnswer: -12, 0, 1\/45, 0.5, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 161371274 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2271948 and 12?\nAnswer: 2271948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048808?\nAnswer: 2, 131101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -3, -18\/61, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 14*m + 4. Let f be r(-14). Is (6\/4 - f)*-86 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 + 1000?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1506)\/5271)\/(1\/(-35))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563*b**2 + 2*b - 13*b + 18*b - 8*b.\nAnswer: -563*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - ((-58)\/8 - 5).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11302 (base 4) to base 2.\nAnswer: -101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -v, -4*q + v + 125 = -2*v. Let a = q - -30. What are the prime factors of a?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m + 2. Let g(x) = -12*x + 5. Let h(n) = -23*n + 10. Let d(u) = 5*g(u) - 3*h(u). Determine -3*d(w) - 7*i(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1713474 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*m + 541*m + 331*m + 230*m - 200*m.\nAnswer: 865*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g + 12*g - 25*g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 178 - 1eec1?\nAnswer: -1ed48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -334, -339, -346, -355, -366, -379, -394?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112922 is divided by 109883?\nAnswer: 3039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vovmxo. What is prob of picking 1 v, 1 o, and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4.0924 * -1.46\nAnswer: 5.974904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -19. Let q = -4 - -8. Are a and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(14) - sqrt(42)\/sqrt(3) - sqrt(14))*5 + (sqrt(112)\/sqrt(2) - sqrt(56) - sqrt(14)))\/(-6*2*sqrt(252) - sqrt(252)).\nAnswer: -2 + sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (5 - -4) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/4)\/(-1))\/(25\/(-320))\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -f + 4*l - 0*l, 0 = 2*f + 2*l + 36. Let b(i) = -i - 1. Let y be b(f). Is 15 a factor of 2905\/42 + (-2)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1023.6 + 1023. Sort z, 6, 3\/7.\nAnswer: z, 3\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3766 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: What is the next term in 392, 783, 1170, 1547, 1908, 2247, 2558?\nAnswer: 2835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2005 - 1347. Does 47 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3167 - 3154. Sort -0.03, p, -0.2 in increasing order.\nAnswer: -0.2, -0.03, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -1.9. Let t = -14.4 - -13.89. Let p = t + 0.31. Which is smaller: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49894 divided by 3838\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 32*x**4 - 60*x**3 + 24*x**2 + 4*x = 0?\nAnswer: -1\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 8160 = 3*j, -4*j + 6*j = 0. What are the prime factors of w?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2972 times 0.31?\nAnswer: 0.402132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/1416 and 71\/4248.\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-6 + 7 + 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t. Let p be k(1). Suppose -2*n - h = h - 12, 0 = p*n - 3*h - 3. Suppose 0 = 5*m + l - 15, -2*m + 29 - 6 = -n*l. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 0.4 (c) 1\/16 (d) -161325.5 (e) -0.2 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 + 19*d**2 - 9*d**2 + 42*d**3.\nAnswer: 42*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + i - 7. Let q be f(-3). Let l be 0\/((q + -1)\/(-1)). Suppose 6*k - 4*k - 36 = l. What is the greatest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5080 + 5573.6. Round g to the nearest ten.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.473 + 0.127. Round m to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4341943406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(980) + 2*sqrt(980)*-1 + sqrt(980) + sqrt(980) + sqrt(980)*2 + -3)**2 + -1 + (1 + sqrt(980))**2 + sqrt(980) + 0 + -3.\nAnswer: -210*sqrt(5) + 9806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 259, 518, 775, 1030, 1283?\n\"Answer: -b**2 + 262*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 - 2201112220?\nAnswer: -2201121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 11. Let l(p) = -2*p**2 + 14145*p. Calculate m(l(a)).\nAnswer: -6*a**2 + 42435*a - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 1044255352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (-3 + (sqrt(76) + -1*sqrt(76) - sqrt(76)) - sqrt(76))) + (sqrt(76)*1 - sqrt(76))*-2 + 3 + -4 + -5)**2.\nAnswer: -36*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 - 7*n + 4 - 30*n + 0 + 6*n + 392*n**2.\nAnswer: 4*n**3 + 392*n**2 - 31*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3 = -5*t - 4*g, t - 5*g = 18. Let v = t - 0. Let k(l) = 4*l**3 - 4*l + 1. Is k(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(28)*-4 - sqrt(7))*2*-2)**2.\nAnswer: 304\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1019 + -514. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 + 0*p**5 + 2*p**5 + (1 - 1 + 3)*(1 - 2*p**5 - 1) + 3*p**3 - 3*p**3 + p**5 + 20*p - 3*p**5 - 20*p - 8*p - 10*p**5 + 8*p.\nAnswer: -16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/29745524 and 9\/172.\nAnswer: 1279057532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((22\/52)\/(-11))\/((-2)\/8).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 1\/7, 15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - f + 10, -42*f + 5 = -5*d - 37*f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 6*y**2 + 8*y - 8. Give r(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*u + 15*u + 13*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(78)*1 - (sqrt(78) + 2*sqrt(78)*1))\/(sqrt(384) + 6*(sqrt(384) + -2*sqrt(384)) + sqrt(384)))**2.\nAnswer: 13\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 9. Let y be u(6). Solve 8 = -y*w - 5*s, -4*w - s - 2 - 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -188 - -213. Let u(r) = 3*r**2 - 62*r + 41. What are the prime factors of u(g)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, g: 1, c: 4, a: 1, h: 2}. Give prob of sequence wwg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1296 and 102240?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-245)\/(-140))\/((-1)\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123480 and 1671096?\nAnswer: 25066440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10111 (base 3) to base 7\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6064 - 443 = 342*n + 381*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*y + 10*y - 2*y**2)*(y**3 - 5*y**3 + 3*y**3) - 12*y**5 + 22*y**5 + 3*y**5 + (y - y - 2*y)*(-2*y**3 + y**4 + 2*y**3) + 2*y + y**5 - 2*y.\nAnswer: 14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 288566329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599858157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23000?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 8, 1 = -4*c - 2*v - 3. Let l = 0 - c. Let q = 7 - l. Solve 0 = -4*x - 0 + q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134 - -139. Solve 5*u - z*r = 30, 0*u - 3*u + 5*r = -26 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8483 or -8485?\nAnswer: -8485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - p**2 + 2*p + 226. Is z(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 96147?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -136 - -141. Solve 5*a = j + 6, -f*a = j - 0*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b - 44 = 0. What is the greatest common factor of b and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 178 in 14376, -2, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395*g - 7547*g + 1107*g.\nAnswer: -6045*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8047?\nAnswer: 13, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 13*j**2 - 7687*j - 92103. Give m(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -208\/138297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 3 - 3)*(-2*x + 2*x + x) + 0*x - x + 0*x)*(x**3 + 3*x**3 - 5*x**3 + (-2 + 0 + 3)*(-2*x**3 + 0*x**3 + 4*x**3)) + 4*x**4 - 13*x + 31*x - x.\nAnswer: 6*x**4 + 17*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 775061864 to the power of 1\/3, to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 44 = 130. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1160*k**3 + 2318*k**3 - 1171*k**3.\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -62, 0.3, -0.028, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - q = 6 - 7, m = -4*q + 4. Suppose 3*r - r - 1132 = m. List the prime factors of r.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xijnxsg. Give prob of sequence jins.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7282 - -10822. What is the smallest common multiple of z and 21?\nAnswer: 24780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-4 - (4 + -2 - 3 - 6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78994831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 2594\/12 - -19*1\/(-114).\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.7552 millilitres in litres?\nAnswer: 0.0107552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 89. Let a = w + -44.0095. What is a rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -3, -2\/19, -1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/17 (b) 0.5 (c) -0.5 (d) 0.9 (e) -0.01 (f) 236\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*y + 9*y - 10*y to l*y + i and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = -12*i - w + 1, -5*i = 4*w - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Let h = z - 2. Let p = -5 + 8. Solve -7 = p*c + k, -h*c - 2*k = k + 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 = -2*m - 11, 3*o + 4*m = 4. Let s(i) = -5*i**2 + 4. Let r(d) = 1205*d - 1196. Let b be r(1). Let y(k) = -9*k**2 + 9. Give b*s(c) + o*y(c).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 19*m + 50 = 0. Suppose 15*a = 10*a + m. Solve -31 + 11 = a*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23643 + -55215?\nAnswer: -112161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from nwnnnwwnwn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.2 - 11.7.\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 8. Let l be z(-4). Let x be 1 - (-1 - l\/(-2)). Which is the closest to x? (a) 1\/3 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(1\/5)*o)**(-33))**33)**(-6\/17) assuming o is positive.\nAnswer: o**(58806\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35248799 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -248, -358, -450, -518, -556, -558?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*t + 24. Let g = 9 - t. Let p = g - -29. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**11*m*m**2)**13*(m\/(m\/((m*m**(-4\/5))\/m))*m**2)**(-11) assuming m is positive.\nAnswer: m**(-521\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1. Let h(g) = 2*g - 27. What is h(m) + 5*x(m)?\nAnswer: 2*m - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-8\/9))**(1\/6) assuming j is positive.\nAnswer: j**(17\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m + 23. Let i be 1*-1*(-88)\/44. Let a(x) = x - 11. Let q(f) = i*s(f) + 5*a(f). Determine q(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 6*s + 3. Let z be m(6). Suppose 0*a + 3*a - z = 0. Let r be 9\/6*(-16)\/(-6). What is the highest common factor of r and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-19 - (-6 + -3) - (-3 - -3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (72 + -2)\/5 - -4581?\nAnswer: 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + sqrt(136)*2*-4)\/(4*sqrt(40)\/sqrt(5) - sqrt(8)))**2.\nAnswer: 833\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 10 = l. Let r be (16\/10)\/(108\/(-270)). Sort r, l, 4 in descending order.\nAnswer: 4, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329 = 2*d + 1. Let u(w) = 3*w**3 - 7*w**2 + w + 4. Let p be u(2). Suppose 3*f - 5*l = 256, 0 = -3*f + f + p*l + d. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -22, 0.4, 1.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -5 - (-1324)\/(-468). Let y = o - 2\/117. What is the closest to -1 in 0.4, -7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/30)\/(2\/(-5)). Are k and 1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 5318104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 140.7 + -140.3. What is the second smallest value in -0.2, 39, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * -860\nAnswer: -103.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from uhvvzvunuumuvnzzvzvn.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25 + -3.55. Round n to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 42 + 21*a + 11*a**3 + 5 + 10 - 12*a**3 + 22*a**2. Let c be g(23). Calculate the highest common divisor of 473 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(-17)*(m*((m*m**0\/m)\/m)\/m)**(-4))**(-5\/19) assuming m is positive.\nAnswer: m**(-20\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -285 + 7280*t - 289 - 7280*t - 44*t**3 + 48*t**3 as q*t + b*t**3 + k + s*t**2 and give k.\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 1 (c) -0.57 (d) 2\/11 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2.4, 31 in descending order.\nAnswer: 31, 2.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5\/4 + 81*t**4\/2 - 273*t**3 - 162*t**2 + 1080*t = 0. Calculate t.\nAnswer: -60, -2, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3387, -2 in ascending order.\nAnswer: -2, 3, 3387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 248 - (104\/13 - 8). What is the least common multiple of 14 and (30\/4)\/(g\/(-166))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 0*f**3 + 2*f**2 + 3\/4*f**4 + 0*f - 1. What is the second derivative of b(p) wrt p?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7400\/(-1008) + 7 - (-10)\/35.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/4 (c) -2\/7 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (34 - (-19 - -23) - (9 + 0)) - -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1249.102 - -1248. Let g = 1.102447 + d. What is g rounded to five decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13711 and -0.4.\nAnswer: 0.054844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 791973961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**5\/60 + l**4\/12 + 2*l**3\/3 + 152*l**2. Calculate c(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a57b3 (base 12) to base 14\nAnswer: -1486d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -4*i**2 + 116. What is d(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 3*v + 3. Let c(s) = s - 7. Let u be c(4). Determine b(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5979600 to the nearest ten thousand.\nAnswer: 5980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**6\/30 - d**5\/10 - d**4\/3 + d**3\/3 + 3*d**2\/2 - 6*d. Find x, given that s(x) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 999198751*y**3 + 9 - 30 - 999198760*y**3.\nAnswer: -9*y**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(((-52)\/65)\/(2\/5)). Calculate the remainder when 47 is divided by 5*(5\/b - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 887206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 136663*q - 11. Let x be j(-3). What is x rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**5\/12 - 55*g**4\/12 - 100*g**3\/3 - 874*g**2. Factor v(d).\nAnswer: -5*(d + 2)*(d + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5 + 14*k**4 - 18*k**3 - 14*k**2 + 16*k.\nAnswer: 2*k*(k - 1)**2*(k + 1)*(k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 584 - 412 - 7*h**2 - 172.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -25, -55, -97, -151, -217, -295?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 297322358 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 13\/156*-27*-3*3\/54?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76818.\nAnswer: 2, 3, 7, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2537038 divided by -2\nAnswer: 1268519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 288*g**2 + 18*g - 77470.\nAnswer: 576*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 96\/(-36)*(-4 + 1). Suppose z - s + 1 = 0. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - i - 56 = 0, -265 = -o + 7*i + 9 + 126 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*z + 12*z**2 - 45*z)*((5 - 2 + 3)*(0 + 1 + 2)*(3 - 3 + 1) + (1 - 2 + 0)*(0 + 3 - 4) + 2 + 1 - 2 + 0 + 2 - 3).\nAnswer: 228*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/15 + 30\/75.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 927124701 to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2*i + 26 = 0, 5*y - 2 = 2*i + 29 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -135 divided by -45\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 - 64 + 4*t**3 - 5*t**2 to the form q + z*t**2 + m*t + p*t**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 61*y**5\/60 + 14*y**3\/3 + 13*y**2 + 5*y - 2. Let h(b) be the first derivative of d(b). What is the derivative of h(i) wrt i?\nAnswer: 122*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 greater than or equal to 304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 376882 and 962?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*l = 231*l + 48. Solve l*r = 16*r + 32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbs when three letters picked without replacement from {s: 3, j: 8, b: 7, a: 2}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**6\/840 + 3*c**5\/56 - 13*c**4\/28 - 54*c**3 - 40*c**2 - 3. Let y(b) be the first derivative of j(b). Factor y(d).\nAnswer: -3*(d - 13)*(d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.88*-0.0631\nAnswer: 0.118628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -11*w + 16. Suppose -3*v - w*s = -14021, 2*v + 3*s = 8*s + 9378. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -2)\/((-4)\/(-2)). Suppose f + u*f = 3. Suppose 5*q - 37 - f = 0. Calculate the greatest common factor of 20 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3903 = 2*b, -9717 = -5*b - 4*j + 24. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l - 7. Let w(j) = 15*j - 15. Let s be (675\/18)\/5 + 9\/(-6). Give s*w(o) - 13*u(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 2*s - 3*s + 0*s. Let h = 2163 + -2165. Let n be x(h). What is the highest common divisor of n and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, -18, -32, -50, -72, -98?\n\"Answer: -2*z**2 - 4*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1539 divided by 50.\nAnswer: -1539\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 9*d + 1. Let k be q(-9). Solve -3*x + 3 = 0, x - k = -m - 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0, 4, 9424, 24 in decreasing order.\nAnswer: 9424, 24, 4, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*z + 170*z + 25*z - 1022 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**3 - 2*a**2 - 2*a + 3. Give p(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 6:27 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 52 = -5*i. Find the second derivative of -10*t - i*t + 14*t**2 - 7*t**2 - t**2 wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -g - 17620, 1825 = a + 5*g - 1122. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + (12 - 19)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 38439395 divided by -352655\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i + 12. Let k(s) = 14*s + 35. Let p(v) = 17*h(v) - 6*k(v). Let j be p(6). Solve -f + 5 = -j*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 16. Suppose -4*i = -3*d + 15, 0 = 2*d + m*d - 4. Is -1 + 565 + i + -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -133\/3. What is the second smallest value in -0.1, f, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, j: 5, o: 7}. What is prob of sequence oo?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 2*d - 5*d)*(-2 - 23*d**2 + 105560*d**3 - 105668*d**3 + 2).\nAnswer: -108*d**4 - 23*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - b + 1. Let z(s) = 9*s**3 - 5*s + 6. Calculate -6*q(x) + z(x).\nAnswer: 3*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by 2864856?\nAnswer: -9\/477476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h - 2*f + 4, -15 = -3*h - 3*f. Let i = 19 - 59\/3. Which is the biggest value? (a) h (b) i (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -52*z - 50*z - 48*z - 82 + 140*z. What is the lowest common multiple of 20 and t(-14)?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.7, 1\/2, 6, -1, -109, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + w - w**2 + 4)*(0 + 0 - w**2) + (w + 2*w - 2*w)*(w**3 + 0*w**3 - 3*w**3) - 191*w**2 + 191*w**2 + 12*w**4.\nAnswer: 11*w**4 - w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from {t: 1, f: 6, z: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6.1 times 46\nAnswer: -280.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -37. Let p(r) = -r + 2. Let w be p(0). Which is the closest to w? (a) 3\/4 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6290 - 3\/(-4)*(-32)\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3224*d**3 - d**2 + d + 1. Is n(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(114 - -2*(-1 + (-4)\/8)). What is the highest common factor of 6882 and z?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 56007 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23759364?\nAnswer: 2, 3, 1979947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3 + 17*k**3 - 5*k**2 + 0*k**2 + 12*k + k**2 - 18*k**3. What is the remainder when 4 is divided by h(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 1:56 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) 4 (b) 87 (c) -2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2352.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7716 + -138865\/18. Calculate the common denominator of y and 194\/(-72) + 0\/(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 44.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -444, -428, -392, -330, -236, -104?\n\"Answer: d**3 + 4*d**2 - 3*d - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1210\/3 or -402?\nAnswer: -402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 199520 a multiple of 430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -13 - (1 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.6 - 15.600006869. What is h rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879230641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -65. Let l(t) = t**3 + 5*t**2 + 3*t - 4. Let x be l(-4). Suppose p - 10 = -x*p. What is the remainder when h is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*r**2 + 41 - 40 - 13*r**2 + 76*r**6 - 11*r**2 wrt r.\nAnswer: 9120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 89?\nAnswer: 3\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, 0, 0.1, -171?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c + 22*c - 100. Calculate the remainder when c is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a4a - 1?\nAnswer: -a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 601 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 9, 14, 2 in ascending order.\nAnswer: -2\/3, 2, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 845166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161047 (base 13) to base 8.\nAnswer: -2050223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -14. Let p(n) = -17*n + 6 - t + 2. Let y(g) = -2*g. Calculate y(p(j)).\nAnswer: 34*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 81. List the prime factors of c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + -1. Let c(w) = -2*w. Let o be c(t). Suppose -j - 2 = -o. Calculate the least common multiple of j and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*p**2 + 23*p**2 + 19*p**2 + (0 + 0 - p**2)*(-2 - 3 + 4).\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 1\/6 (c) 26569\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 8 - 158 - -18?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/3*5*-1. Suppose o - q*u - 35 = -7, 6 = 3*u. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18 or 0.038?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -122, -165, -196, -209, -198, -157, -80?\n\"Answer: w**3 - 50*w - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -r - 46. What is the remainder when r is divided by 7*(2 - -3*3\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - t - 18, o - 5*t + 1 - 15 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: a37343 (base 11) to base 3\nAnswer: 10010112210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r**2 - 3348*r - 2520 = 0 for r.\nAnswer: -3\/4, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 285*n**2 + 2*n - 24. Let c(l) = -153*l**2 - l + 13. Let j(i) = 11*c(i) + 6*s(i). What is j(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k = -18*k + 192. What is the remainder when 179 is divided by (4 - (3 - 1)) + (10 - k)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.983 plus -2116871.2506?\nAnswer: -2116873.2336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 539 and 88?\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 10. Let a = -4.8 + 4.7. What is the closest to a in k, -0.3, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**8\/10080 + v**6\/720 - 3*v**5\/10 + 55*v**2. Let a(g) be the third derivative of t(g). What is a(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -n + 7. Suppose 4*d - 40 = n*j, -j - 58 = -5*d - 0*j. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -n - 18. Suppose g = -g + n. Solve m = -l + g*l + 2, -3*m = l + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 - -111. Let m be (-121)\/(-33) - o\/2. Put m, -4, 66 in ascending order.\nAnswer: -4, m, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - -45 - (4 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/39 + (-1768856)\/(-6) + 0. Let g(s) = x - 294809 - 28*s. Let n(m) = -6*m + 3*m + m. Give n(g(z)).\nAnswer: 56*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49852b + 2?\nAnswer: 49852d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174818.\nAnswer: 2, 7, 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6502538*n*y - 4*n - 982736 wrt y.\nAnswer: -6502538*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 25*u**2 + 158*u - 24. Calculate x(15).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 13\/6. Let v be 0 - 0 - 6\/(-39). What is the second smallest value in 1\/3, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 12*y**2 - 18*y - 17. Is 9 a factor of q(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(425) - -2*sqrt(425))**2 - ((1 + sqrt(425) - sqrt(425))*-2)**2)*-6 + -3 + 4 + (2*sqrt(425) + sqrt(425))**2*-3.\nAnswer: -34412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-1) + 7 + 47\/(1598\/68).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 2. Let x be i(0). Let z(k) = k**2 + 2*k - 2. Let n be z(x). What is the remainder when (13 + 23)*8\/n is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/3 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 18 = 0, -15*t + 10*t = -3*f - 5448. Calculate the remainder when t is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/93, 457, -1364?\nAnswer: -1364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (3 - 7 - -10) + (19 - 29)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - h)*(-3 + 2*h**3 + 3) - 27*h - 17*h**4 + 14*h**4 + 2*h.\nAnswer: -5*h**4 - 25*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2041*z**3 - z**2 - 15208.\nAnswer: 6123*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 <= -36.69469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, 3, 10, 2, -2 in decreasing order.\nAnswer: 191, 10, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z = 8*z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 - -126. Let v = 1 - -1.5. Let y = -2 + v. Which is the nearest to 1? (a) y (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 12023560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m**2 + 8*m - 5. Let o(l) = -l**2 + l. Let r(g) = -5*o(g) + t(g). Let h be r(4). Find the common denominator of h\/15 - (-846)\/(-2040) and -67\/18.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -11*c - 2*g, 36 = 6*c + 3*g + 51 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**5 + 26*z**4 + 49*z**3 + 24*z**2 = 0?\nAnswer: -24, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(-3 + (sqrt(72))**2 + 0 - (((sqrt(88) - 2*sqrt(88)) + sqrt(88))*-2)\/sqrt(11)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from varcj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (25\/(-30)*3)\/(30\/(-216)). Solve 46*u = s*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5217 and 2109.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6391*f**2 + 0 + 6394*f**2 + 0.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50\/225 + (8474\/(-9))\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {t: 1, b: 4, n: 4, j: 1, w: 1, m: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63 and -225.1.\nAnswer: 14181.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/19195 and -139\/24870.\nAnswer: 95475930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/18 + (-682)\/(-198)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 8 + -8 - (1 - 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8077.509 kilometers in centimeters?\nAnswer: 807750900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 - -77. Which is the smallest value? (a) g (b) 4 (c) -3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*y**3 + 169*y**3 + 160*y**3.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.03, 1, -2\/11, -0.1, 1.7 in descending order.\nAnswer: 1.7, 1, -0.03, -0.1, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*s + l, -3*l - l = 0. Let m(v) = -v**3 - 7*v**2 - 6*v + 2. Let h be m(-6). Suppose s*g = 3*r - 46, 0*r = r + g - h. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 228*o**4 + 18*o**2 - 6*o**2 + 221*o**4 in the form a + p*o**3 + s*o**4 + u*o + x*o**2 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 4. Solve -r = -d - 4*r - h, -5*r - 17 = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 11*f**2. Suppose 2*s + 2*s = -4. What are the prime factors of a(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10287 and 405?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/14*48\/36\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -100*a**3 - 2*a + 2. Let c be y(1). Let r = 93 + c. Let l = -39\/31 + -1503\/62. What is the common denominator of l and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (3 - -12) - -16 - 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -651, -278, 99, 480, 865, 1254, 1647?\nAnswer: 2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -104*r**2\/19 - 2174*r\/19 - 332\/19 = 0.\nAnswer: -83\/4, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/24 + 66\/8. Let a be (4\/c)\/((-2)\/(-1724)). Suppose 85 = -0*o + o + 2*k, 5*o + 4*k - a = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 = -0. Let q be 129 - (-5 - (i + -15)). Suppose -3*x = 5*o - q, 2 = o + 5*x - 14. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.4416253 months?\nAnswer: 0.203468775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 c when four letters picked without replacement from sccscssscccsscsssss?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -2*l**7\/735 - l**6\/15 + 41*l**2 - l. Determine c, given that a(c) = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h - 20 + 0*h + 6*h - 11 to the form b*h + s and give s.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293785116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*f + 3, -j + 3 = -4*f + 7. Suppose j = 2*c - 35 - 85. Let y(w) = 11*w + 2. Let p be y(2). Calculate the highest common factor of p and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 + 475174*v\/5.\nAnswer: -2*v*(v - 237587)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6769 greater than 9202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -153 - 0?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 31213000100011?\nAnswer: -31213000100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 32. Let w = 12 - o. Let v be 1\/((-3)\/(-4) - 1). Sort v, -2, w in increasing order.\nAnswer: v, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 135729, 274529, 413331, 552135, 690941, 829749?\n\"Answer: z**2 + 138797*z - 3069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -633.\nAnswer: 3165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7827 less than 7829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48.08464512873 - -0.08464555873. Let r = 48 + q. What is r rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-4 + -4 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26950 minus 21.42?\nAnswer: -26971.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(5 - 6 - 4)*(4 - 4 + 4*o).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 2*a + 2*f - 9, -17 = a + 2*f. Let k be a\/(-14)*20\/9. Sort k, -20, -1\/3 in ascending order.\nAnswer: -20, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t - 13. Suppose -4*b = 5*a - 0*a + 9, 1 = 4*b + 3*a. Let x be g(b). Factor 69 + 24*y - 6*y + x*y**2 - 45.\nAnswer: 3*(y + 2)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15065 is divided by 386?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(171) + 0 + -3 - -6*(sqrt(171) + 1 - sqrt(171)) - (5 + 1 + sqrt(171) - (-5 + sqrt(171) + -1 + sqrt(171)))) + 4)**2.\nAnswer: -1536*sqrt(19) + 11968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + u - 5*u - 9 = 0, 0 = -t + u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1571, 3131, 4683, 6227, 7763?\n\"Answer: -4*m**2 + 1572*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*r**4 - 1258835*r**3 + r**2 + 557735*r - 84?\nAnswer: -132*r**2 - 7553010*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 16*l - 3. What is g(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-66)\/16)*-6*(130\/(-10))\/13?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*q + 213*q = -77130. What are the prime factors of q?\nAnswer: 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 611382 - 296009. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 8*f + 14 = 4*f, -4*c - 16 = 2*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4356*k**4 - 1864500*k**3 - 199543873*k**2 - 6045500*k - 45796.\nAnswer: -(k + 214)**2*(66*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -558*(-21)\/273 + -22. Factor 578\/13*s**2 + 32\/13 + h*s.\nAnswer: 2*(17*s + 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69693\/1351 or 51?\nAnswer: 69693\/1351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 + -0.16. Let d = -12.1 - b. Let v = -11.38 - d. What is v rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -155649489.\nAnswer: 77824744.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4543*t + 7918?\nAnswer: 4543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (174\/(-435)*(-80)\/(-28))\/(6\/9).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -9. Let h = 7 + a. Let r = h + -9. Which is smaller: r or -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h + 1. Let g(t) be the third derivative of -7*t**4\/24 + t**3\/6 - 94*t**2. Give 5*f(o) - 6*g(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26066.53 litres to millilitres.\nAnswer: 26066530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*c = 5*o - 25, 2*o + c = 11. Suppose h - 4*x + 1 = -12, 61 = -o*h + x. Let i be (-16)\/(-6)*h\/14. Sort 4, -2, i in decreasing order.\nAnswer: 4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-2)\/(-1))*70\/(-49).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 7*n**2 + 4*n - 5. Let w = 31 - 29. Suppose 0 = -w*l - 12. Determine j(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 18 = -2*j - 1, -4*o + 3*j = 93. Let r = -27 - o. Suppose 5*w - 2*z = 190010, r*z + 75980 = 2*w + 4*z. What is w rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -11*x + 68. Give y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 + 107 + 4*b + 2*b**2 - 101 - b**2 to u*b**3 + j + s*b + m*b**4 + h*b**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {s: 3, f: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 22*y**2 + 397*y - 64693. Determine v(-64).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 756, -199, -1, -5 in ascending order.\nAnswer: -199, -5, -1, 756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + 12. Let l = i + -2. Suppose -l*u + 161 = -93. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17068.62 rounded to the nearest 10?\nAnswer: 17070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4 - y**3 + 5*y**2 + y - 3 = 0. What is y?\nAnswer: -3\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 22435717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 557 + -45. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -3272.\nAnswer: 16360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -1\/7 (c) -5 (d) -1 (e) 1.423\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -163, -16.\nAnswer: -163, -16, -9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -129730 divided by -4\nAnswer: 64865\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.021 * 0.03.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356583.\nAnswer: 3, 118861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2123 = -5*z + 8*z, 4*z - y = 2834. Suppose 0 = -5*c + 5*a + 1190, -7*c + 4*a + z = -4*c. What is the remainder when c is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 2:00 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -1, 2\/3, -3\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 19.23, -3587 in descending order.\nAnswer: 19.23, 0.03, -3587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24830561401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -36b223d?\nAnswer: -36b223c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 1773?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -1\/210*z**5 + 0*z - 23\/420*z**6 - 4\/21*z**3 + 1\/147*z**7 + 4\/21*z**4 - 40*z**2 + 1\/168*z**8 + 2. Let q(o) = 0. What is o?\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 times 13\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 6*v - 6. Let w(k) = k**3 + 26*k**2 + 25*k + 6. Let s be w(-25). Calculate q(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 9. Let d = m - -9. Solve -2*a - 4*n = -d*n, -3*n = 5*a + 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 927 is divided by 140?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4, 2*p + 71 = -5*i - 2*p. What is the second biggest value in 2\/3, i, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142 - 203. Let t = m - -185\/3. Which is the second smallest value? (a) 2 (b) t (c) -4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 4*m - 10, 2*d - 2*m = -0*d + 4. Suppose 3*n - d*n = 20. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 + 5*f - 1. Let c = 20 - 12. Let n(w) = 15*w**2 - 14*w + 2. Let a(d) = c*y(d) + 3*n(d). Is 5 a factor of a(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/8 of a litre in millilitres?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-33)\/4)\/11*-4 - -10328. Suppose -34*s + 30799 - u = 0. What is the greatest common divisor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**2\/2 + 475*u + 225625\/2 = 0.\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(5\/4)*t**(-2))\/(t\/(t*t\/(t\/(t\/t**(2\/5)*t)))*t*t\/(t\/t**(-1\/4)*t)) assuming t is positive.\nAnswer: t**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36823, 36806, 36789, 36772, 36755, 36738?\n\"Answer: -17*g + 36840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 * 1.8.\nAnswer: -3.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 91, 5\/23, 6\/5, -5, -4?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j**3 - 18*j**2 + 6*j + 7. Let p(s) = -8*s**3 + 18*s**2 - 7*s - 8. Calculate 7*i(c) + 6*p(c).\nAnswer: c**3 - 18*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1542 + -2592. Let l = -748 - o. List the prime factors of l.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + g**2 - 10*g + 8.\nAnswer: (g - 2)*(g - 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 4*q**2 + 4*q + 2. Let l be v(5). Let j(p) = p**2 + 2*p + 2. Let a be j(l). Solve 2*s + 2*m - a - 5 = 0, 4*s + 4 = 4*m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m**3 - 7*m**2 + m + 12. Let x be t(-2). What is the lowest common multiple of (-13)\/3*(-84)\/x*30 and 12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.2231 years to decades.\nAnswer: 3.42231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - -50)\/(20\/(-60))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*x + 90*x - 12 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 7:14 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 868867880 divided by -5?\nAnswer: -173773576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-4))\/(4 + (-390)\/96). Let c(f) = -f. Let b be c(-3). Put j, b, -5 in ascending order.\nAnswer: -5, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 1. Let d = 1844 + -1848. Let y(q) = 12*q**2 + q - 1. Calculate d*y(n) + 4*g(n).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2 + 110*d - 1088. Calculate the remainder when 1553 is divided by n(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000259324393 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -2 (c) -456\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835.39 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i. Let c(k) = k**2 - 3. Let t(b) = -b**2 + 2. Let z(s) = 2*c(s) + 3*t(s). Determine z(m(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 279.445 less than -169291?\nAnswer: -169570.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 12, -2, -34, -90?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 5.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64180946 is divided by 287.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4069, 15, -5 in decreasing order.\nAnswer: 15, 1, -5, -4069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*v**3 + 20685*v**2 + 3*v + 19087382 wrt v?\nAnswer: -21*v**2 + 41370*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*l**2 - 4*l**2 - 15 - 4*l**2 - 5 + (2 + 0 - 1)*(1 - 1 - l**2).\nAnswer: 24*l**2 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4379 + -1.5621. What is the closest to 3 in m, 2\/17, -3\/10?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(49)\/(sqrt(112) + (sqrt(112) - sqrt(112)*-3) - sqrt(112) - sqrt(112) - sqrt(112)).\nAnswer: -4 + sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -50506, 28\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255 and 816.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 862.111 micrometers?\nAnswer: 862111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -1445*r**5 + 4331*r**4 + 36137*r**3 + 30445*r**2 + 84*r = 0.\nAnswer: -3, -1, -4\/1445, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 0*f**2 - 4 - 5*f - f**2 + 2*f. Let r be h(-4). Let q(t) = -t**3 - 6*t**2 + 4*t + 8. Let u be q(r). Calculate the greatest common divisor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22915517771 and 5.53?\nAnswer: 22915517776.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -21412720.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 838320 and 315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.19 + 3.81. Which is the closest to 0.1? (a) -0.2 (b) 1\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j + 7. Let c = -5 + 15. Let v = j + c. Calculate the lowest common multiple of 10 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154680077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a factor of 177108228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 0)\/(1\/1). Suppose u*z - z = 3*x - 156, -2*z = 2*x - 100. What are the prime factors of x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -8*n + 18. Let m(o) = 2*o**3 - 194*o**2 + 197*o - 476. Let d be m(96). Determine b(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 10:59 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u + 720485 - 740360 = 192*u for u.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x - 4*l + 4 = 0, -2*x = -l - 6. Let z(o) = -2*o**2 + x*o**2 + o**2 - 2*o**2. Let u(n) = 13*n**2 - 6*n**2 - 3*n**2. Give z(u(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -119, -321, -643, -1091, -1671, -2389, -3251, -4263?\n\"Answer: -j**3 - 54*j**2 - 33*j - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 57*u - 626. Let m be v(15). Let n(g) = -2*g - 16. Let s(z) = 6*z + 47. What is m*s(k) + 11*n(k)?\nAnswer: 2*k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 5 + 7 - 14 - (7 - 1)) + -60.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 8:25 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8632010 is divided by 1078986.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -2*j**3\/3 + 7*j + 43. Let h(m) = 5*m**2. What is h(b(l))?\nAnswer: 20*l**4 - 140*l**2 + 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 49*s**2 + 35*s**2 - 85*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**2 + 3 + 9*k**2 - 15*k**2 - 5 - 7*k to n*k + l + h*k**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 36*p**2 - 34*p + 107. What is i(-37)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*f = -16904 + 6824 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -7 - -51 - 37?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -179764144*r**2 - 1807*r + 17364 wrt r?\nAnswer: -359528288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566 = s - 1519. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-33)*k*k*k*k\/(k**(3\/4)*k*k)*k assuming k is positive.\nAnswer: k**(-123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 1. Let p(o) = -o**3 + 4*o**2 - o - 4. Let y(d) = -p(d) - 3*t(d). Let j be y(3). Differentiate -2*i**4 + j - 1 - 1 with respect to i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 233 = -p, -5*l - 5*p - 410 = -130. Let z = l + 49. What is the tens digit of (-42 - -1)\/(z\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 0*r**2 - 3*r**2 + 2*r**2. Let p(c) be the second derivative of c**6\/120 - 2*c**3\/3 + 2*c. Let h(a) be the second derivative of p(a). Give h(z(m)).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -372, 5, -26, -4, -3 in descending order.\nAnswer: 15, 5, -3, -4, -26, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 11:49 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/5 - 2*k**3 + 4*k**2\/5 + 42*k\/5 + 27\/5 = 0.\nAnswer: -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 150 = 5*f + t, -36 = -f + t. Let w = 30 - f. Put -2, 2, w in decreasing order.\nAnswer: 2, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*n - n - 13, 2*n + 3 = -h. Solve 3*c - 5 = -p, -5*p + h - 4 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22398814?\nAnswer: 2, 449, 24943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*c = -2*q - 18, -2*q - 8 = 2*c. Let y be (11 - (0 + q)) + -4. Let a = -37 - -61. Calculate the highest common factor of a and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.79644 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-25\/3))\/(m*(m*m*m**(1\/15))\/m)*(m\/(m\/(m\/(m*m**(1\/4))))*m)**(-3\/8) assuming m is positive.\nAnswer: m**(3353\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*n + 8 = 0, 5*n + 35 = -4*p + 28. Let t(g) be the first derivative of 0*g**p - 7 - 13\/3*g**3 + 14*g. Find the first derivative of t(u) wrt u.\nAnswer: -26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**6\/180 + s**4\/8 - s**3\/2 + 3*s. Let y(u) be the second derivative of j(u). What is the derivative of y(f) wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - q**2 + q**2)*(5 + 11 - 2) - 5*q**2 + 2*q**2 - q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*h - 699 - 1710 + 481 - 340 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*o + 18 = 0, -2*j + 2*o = -0*j - 4. Suppose 3*k - g = -j*g + 18, 5*g - 21 = 4*k. Calculate the greatest common divisor of 9 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 427779 by -47531.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 + 2*k**2 + 6*k + 1641. Is j(0) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61639.\nAnswer: 53, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 185*d - 180.\nAnswer: -5*(d + 1)*(d + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487376 = 110*c + 495736 for c.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -391 + 336. Let i = 50 + o. Put 125, -1, 0, i in decreasing order.\nAnswer: 125, 0, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*37021\/123406 - 36\/(-24). Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4084 - 4080. Let x(z) = z - 2. Let w be x(4). Solve w*j - f = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**7*m)\/m*m)\/m)**9\/(m\/m**25*m**(-38)) assuming m is positive.\nAnswer: m**134","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 4:33 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 37753933 and 37753935 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u - 4*u + 310460000 = 0. Round u to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -654 and 0.06?\nAnswer: -39.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2875126740?\nAnswer: 2, 3, 5, 19, 132739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-1 + sqrt(143))*-3 - (-5*1*sqrt(143) + sqrt(143) + sqrt(143)))\/(sqrt(132)\/(sqrt(48)\/sqrt(4))*6).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 171.9745973?\nAnswer: -176.9745973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6}. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 25*p - 1. What are the prime factors of h(13)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11214 (base 5) to base 3.\nAnswer: 1002222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8193\/(-99) + 2\/(-6). Let m = -76930013\/1234024 + -15\/112184. Let w = m - z. Find the common denominator of -79\/6 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/232 and 25\/715488.\nAnswer: 715488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 101128?\nAnswer: 101126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = -g - 56, m - 2*g - 4622 = -4615 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/4 + 77*t\/2 + 51\/4.\nAnswer: (t + 51)*(3*t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 965700 and 3735?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, r: 1, t: 7, b: 6}. Give prob of picking 2 b.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 15*t - 31. Determine z(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -446, 12, -1, 6, -5.\nAnswer: -446, -5, -3, -1, 1, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**3 + 75*h**2 + h - 76. What is the least common multiple of y(-21) and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*w + 307 = -2*w, -w + 70 = g. Let n = 80 - g. Suppose n*p + p = 0. Which is bigger: p or -2\/67?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001333185432 rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -15*d + 4. Let x be r(-4). Suppose -4*u + x = 240. Let m = -27 - u. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5673 = -379*f - 3044 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w**2 + w + 2*w**2 + 3*w**2)*(-43*w + 143*w + 164*w).\nAnswer: -528*w**3 + 264*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*w - 0*w. What is the remainder when 46 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkzl when four letters picked without replacement from nunuulkzuluzuunlln?\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.019 times -0.2\nAnswer: 0.2038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o - 2. Let m(w) = -w. Let q(t) = -t. Let g(i) = -3*m(i) + 4*q(i). Let p(v) = 2*v**3 - 17*v**2 - 7*v - 22. Let l be p(9). Give l*g(u) - f(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 196, 0, 749, 5, 2, -4 in descending order.\nAnswer: 749, 196, 5, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.97886 tonnes to grams.\nAnswer: 16978860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1327, -2651, -3991, -5359, -6767, -8227?\nAnswer: -9751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 4*o + (-2 + 5 - 2)*(-2*o + 2*o - o) - o + 3*o + 3*o + (-1 - 4 + 7)*(-o + 1 - 1) to p + g*o and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -40*j. Let x(s) = -3424 - 7*s**2 + 6839 - 3419. Determine w(x(i)).\nAnswer: 280*i**2 + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 12:26 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1597 is divided by 475.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 3 + 4 - 18*p**3 + 5*p.\nAnswer: -18*p**3 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 3. Let y = 80 + -86. Calculate q(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 3*f + 6. Let h be t(-6). Suppose 4*x - h = 20. Let o be (-2)\/(-2)*(1 - 0). Solve -2*g - o = -x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x - 3*a = 17*x - 27, -3*a = -2*x - 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ellleeeleeeelyelelel. What is prob of sequence ey?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -8, 66 in increasing order.\nAnswer: -8, 3, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) -3\/5 (c) 2\/9 (d) -1\/2 (e) 271 (f) 78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6799 is divided by 119.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 + 316*a**3 - 30246*a**2 + 834556*a - 6974881.\nAnswer: -(a - 139)**2*(a - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 400 = -8*b. Suppose 4*y + 16 = 0, d + 4*d - b = 5*y. Is ((-16)\/(-3))\/(d\/54) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**7\/2100 + x**5\/300 + x**3\/2 + 3*x**2. Let m(l) be the first derivative of t(l). Factor m(o).\nAnswer: -2*o*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 18. Let g be ((-18)\/12)\/(x\/(-60)) - 1. Let r = g + 9. What is the greatest common factor of 38 and r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*s + 2*m + 196, 0 = -5*s - m - 245. Let g = s - -73. Suppose 0 = 5*n - 3*v - 97, -4*v + g = -0*n + n. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (580\/6)\/(-1)*(-39)\/26. Which is greater: i or 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -700817 by 700817.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Let f be (13 - 6)*6\/7. Suppose 2*x - 27 = 5*m, -6*m = x - 2*m + f. Let b(l) = -2*l - x*l + 5*l. What is b(k(j))?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 1, i: 4, h: 2}. What is prob of picking 1 y and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**5 - 4*a**3 + 4*a. Let v(p) = p**5 + p**3 + p**2 - p. Let u(x) = s(x) + 4*v(x). What is the third derivative of u(q) wrt q?\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 259. Let c be l(0). Suppose c = 8*r - r. Is r a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -1.1. Let r = -18992\/5 + 3816. Let g = r + -337\/20. What is the nearest to y in -0.5, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -23*r**2 + 17*r. Let z(m) = 2 + 70649*m - 70648*m - 2. Calculate z(q(u)).\nAnswer: -23*u**2 + 17*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0228? (a) 1\/7 (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 8. Suppose 3*t + n = f - t, 5*t - 14 = -f. What is the highest common factor of f and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*u**2*y - 67876*u**2 - 5*u*y + 20716239*y wrt u.\nAnswer: -4*u*y - 135752*u - 5*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 1:54 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 8 = 2*m + 4*q, -5*q = -4*m + 32 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 149221507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f + 1. Let c(i) = i**3 - 6*i**2 - 5*i + 1. Let x be c(7). Let q = x + -14. Is t(q) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -88, 0.2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -21, 3, 4070, -2, -1 in increasing order.\nAnswer: -21, -2, -1, 2, 3, 4070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 1648768*b - 339804489728.\nAnswer: -2*(b + 412192)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 w when three letters picked without replacement from wuuntuw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**5\/7 - 66*t**4\/7 + 216*t**3\/7 + 484*t**2\/7 + 36*t\/7 - 162\/7 = 0.\nAnswer: -1, 1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.112588 to 3 decimal places.\nAnswer: 0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 156*z**2 + z + 8. Let l = -19 - -27. Let t be q(l). Round t to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27197 is divided by 411.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 7*d**2 + 6*d + 5. Calculate the remainder when 59 is divided by w(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/((-1)\/((-6)\/12)))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 126878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1145839 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-five halves of a kilogram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1191 + -1192. Sort s, 0, 19 in ascending order.\nAnswer: s, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and -32616.\nAnswer: 587088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 6096.\nAnswer: 1828.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*n - 2564, -3*n + 2557 = 5*t - 6*n. Suppose -4*j - t = -4*l, -3*l - 2*l = -j - 636. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266969641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*b**4 - 71*b + b**3 + b**2 + 71*b as z*b + f + n*b**3 + a*b**2 + v*b**4 and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-4))\/3)\/((-1467)\/(-3912))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (-26)\/(-6) + (-56)\/(-12). Solve 4*p + 20 = 5*g - 2*g, 0 = -f*g - 2*p - 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -374821705*d. Let x(b) = -2*b. Calculate x(v(f)).\nAnswer: 749643410*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.7 + -11. Let i(p) = p**2 - 4*p + 2. Let k be i(4). Let v = 1 - k. What is the closest to v in 0.4, b, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5477791mm to nanometers.\nAnswer: 547779.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1208906 divided by 302\nAnswer: 4003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 17*t - 316 = -110, -3*z + 4*t = 37 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**4\/21 - 4*y**3\/21 + 30*y**2\/7 - 28*y. Factor z(t).\nAnswer: -4*(t - 3)*(t + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogt when three letters picked without replacement from omgxttgottg.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 6:39 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**2 - 2100*a - 2104 = 0.\nAnswer: -1, 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.32 less than or equal to 1766897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*z + 4*t, 2*z + 3*t - 32 = 4*t. Suppose -z*q + 880 = -7*q. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 34.5. Let k = t - 3.5. Let g = k + -16.1. Which is the third smallest value? (a) -3\/5 (b) g (c) -2\/5 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + 59*n + 700. Give x(38).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/40)\/(-2*3\/5).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59*-18.\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-12))\/(6\/(-8)))\/((-666)\/(-77922)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -590 (b) 5380 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 11*g + 32. Give t(11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 316 = -152. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 282196 = -4*c, 172655 = -5*z - c + 525376. Suppose 37*i + 48817 = -z. Round i to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.8 and 135.\nAnswer: 141.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s - 3 + 1 - 1. Let c(f) = -13*f + 13. Let t = -68 - -72. Suppose -4*q + p + 3 = 0, 0*q - t*p + 12 = -4*q. What is q*c(y) + 9*w(y)?\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1464 or -2\/9?\nAnswer: -1464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 15. Let x = r - -16.3. Let s = 0 + -0.2. What is the nearest to -2 in s, x, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -7\/4, 2, 2312?\nAnswer: 2312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3943, -7895, -11859, -15835, -19823, -23823, -27835?\n\"Answer: -6*b**2 - 3934*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-12) - 25\/(-30). Let z be 0 + -1 + -44 + w. Let i = z + 93. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 46*m + 151 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/90*70\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 21*v**2 - 20*v + 6. Determine y(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -170380, -170335, -170290, -170245, -170200?\n\"Answer: 45*i - 170425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 1. Suppose 10 = 3*c + 1. Let h be k(c). Let s(p) = -p**3 - 5*p**2 + p + h*p - 2*p - 2*p. Calculate s(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1. Let r be (756\/(-14))\/6 - -11. Let x(t) = t + 1. Determine r*x(n) - 3*c(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -v + 3*v. Let q(y) = -17*y + 7. Let j(m) = -17*m + 6. Let w(x) = 5*j(x) - 4*q(x). What are the prime factors of w(v)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2982.722ms in microseconds?\nAnswer: 2982722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 493 times -0.6579\nAnswer: -324.3447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 1. Suppose 83 = i + 3*y, 2*i - 49 = -d*y + 113. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5741.0069 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, -35, -104, -221, -398, -647?\n\"Answer: -2*j**3 - 6*j**2 - j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + q**2 - q + 4. Let f be z(0). Suppose -2*v - f = -0. Let u = v - -8. Let s(c) = -c**3 + 6*c**2 + 2*c - 6. Give s(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 226*x**3 - 6620*x**2 - 342472*x.\nAnswer: -x*(x - 178)*(x - 74)*(x + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -2\/209, 35.\nAnswer: -1\/7, -2\/209, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.7 - -29.2. Let l = -59 - -63. Which is the second smallest value? (a) 7 (b) l (c) p (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.61387 to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3) + 2 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4}. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7983 = -4*f, 3*f - 13*h = -11*h + 5966. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45\/217 + -2\/31. Let r = 0 - -2. Let m be 9\/2 + (-217)\/31. Which is the biggest value? (a) m (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -138, -778, -2520, -5916, -11518, -19878, -31548?\n\"Answer: -92*g**3 + g**2 + g - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 145 + -85. Suppose -5*r - 7*r = -z. Solve -2*q - 18 = -r*a, 2*a = 5*q + 4 - 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-4)*80\/(-720)*(64 + -4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1478 by -6.\nAnswer: -739\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 3*b - 711. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 4815.5374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 14. Let d(t) = 7*t**2 - 6*t + 7. Let f(o) = -o**2. Let b(v) = x*f(v) + d(v). Let r be (-47)\/(-9) + (-25)\/(675\/6). Determine b(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/40)\/((-21)\/28). Which is the fourth biggest value? (a) -5 (b) 12 (c) o (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 888 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -205, 29, 2\/123?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 672692326.507 and 36.\nAnswer: 672692362.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 8:15 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2 = 2*b. Let r(t) be the second derivative of -t**4\/6 + t**3\/6 + 49*t**2\/2 - 5*t - 3. Let f(u) be the first derivative of r(u). Calculate f(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -42. Suppose -2*j + 8 = 4*r - 0*r, -2*r = -k. Suppose j*x - 159 = s + 281, 4*s = -2*x + 430. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*o**2 + 170*o - 13*o**2 + 55*o + (5*o - o - 3*o)*(-2*o + 1 - 1) + 7*o**2 - o**2 - o**2 + 2*o**2 - 2*o + 2*o to the form m + u*o**2 + r*o and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151.5 - -152. Which is the fourth smallest value? (a) 1 (b) k (c) 3\/2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Suppose -30 = -w*i - 8. Calculate the remainder when 31 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/7467278 and 29\/18.\nAnswer: 67205502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14819173 divided by -14819173.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -14 (b) 0.04 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 7:24 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((6\/(-28))\/3)\/(41\/(-164)). Suppose 3*h = -0*h - 3, 5*n = -5*h. Let i = 4.11 - 0.11. Which is the closest to 1? (a) i (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 10\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-62)\/8 - -7)*8\/(-14)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 14. Suppose v*r = 36 + 32. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**2 + 1840*s + 175218 = 0.\nAnswer: -87, 1007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -16*s**3 + 126*s**2 - 176*s - 24 = 0.\nAnswer: -1\/8, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 57*v**2 - 54*v + 258. Calculate the least common multiple of t(-58) and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 36*n**2 + 210*n + 4697. Determine j(-38).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 6 = -4*j. Which is the smallest value? (a) j (b) 4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 5. Let b(a) = -3*a - 11. Let l(w) = -6*b(w) + 15*z(w). What is the units digit of l(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**5\/5 - 204*x**4\/5 + 3586*x**3\/5 + 12216*x**2\/5 + 8424*x\/5 = 0.\nAnswer: -2, -1, 0, 27, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22584 is divided by 67.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 1:15 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + 1221 + 1009 - 2719 + 952 to the form c*d + p and give p.\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -410660660 + 1?\nAnswer: -410660656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*i = -2, -2*i + 108 = 118 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1486 - -2382. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 3*i - 2, 5*o - 4*i + i = 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 619675 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 102 = 62. Let c(l) = -l**3 + 4*l**2 + 6*l + 6. Let k be c(5). Suppose -m + k = -y. Solve -26 = 5*q - 2*b - 6, q = -3*b + m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, y: 1, k: 1, f: 2, l: 5, u: 2}. Give prob of picking 1 y and 2 v.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*6\/((-6)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20924?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 2*p**3 + 7 - 228*p**2 - 369*p**2 - 496*p**2.\nAnswer: 2*p**3 - 1093*p**2 - 4*p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -2 (b) 0 (c) -2\/15 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78097.82ms to seconds.\nAnswer: 78.09782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 + 3.8. Put -12, 3\/7, t in ascending order.\nAnswer: -12, 3\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.022498 and 43.5.\nAnswer: 0.978663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 9. Let q(r) = -r - 1. Let y be q(-6). Let p be w(y). Suppose -4*l + 54 = -3*z, -2*l + p*z = 2*l - 52. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 411 = -5*r, -2*r + 4*r + 99 = l. Suppose 107 = 3*g - l. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -21, -39, -63, -93, -129?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -100010010110 (base 2) to base 13\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45.6 + 45.5366. Let k = q + 0.0632. Round k to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 - r**2 + 2*r**2 + (3*r**2 - 2*r**2 + 3*r**2)*(-8 - 17 - 7) to h*r + d*r**2 + k and give d.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/11 - 4\/(-22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2852)\/(-44) + (-6)\/(-33). Suppose -q = -4*k - 13. Suppose 3*g - 4*r - 34 = 0, -2*g + 3*r + k = -10. Solve -3*v = g + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2)*a)\/a**(7\/3))\/(a\/(a\/(a\/(a*a*a*a*a*a\/a**(-1\/3)*a)))*a*a**(-6)) assuming a is positive.\nAnswer: a**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -32 - 56*d - 1027*d**3 + 2055*d**3 - 28*d**2 - 1032*d**3 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2 + 2*i + 7. Let v be y(7). Let w = 18 - v. Let d be 2*(2 - -16)*3\/6. What is the greatest common factor of d and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 1395752.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -53*i + 2. Let a(u) = -18*u + 1. Let q(x) = -17*a(x) + 6*g(x). Suppose -4*s + l - 12 = 0, -2*s + 8 = -l + 4*l. List the prime factors of q(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*s. Let l = 2 + s. Suppose 4*t - 2*t - 6 = 3*k, 3*t - 8 = 4*k. Sort l, k, -3\/4.\nAnswer: k, -3\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2172066*m*y**6 - 2*m*y**2 + 23*m*y - y**2 - 2085*y - 4 wrt y.\nAnswer: 260647920*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 157.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043764 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 + 4)*(-4)\/(-10) + 4. Solve -l*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5310333?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4527886, 9055424, 13582962, 18110500?\n\"Answer: 4527538*n + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005386 to seven decimal places.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l + 23*l**2 - 4 - 38*l**2 + 2. Let f(g) = 240*g**2 - 129*g + 33. Let r(w) = -2*f(w) - 33*p(w). Find the second derivative of r(h) wrt h.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p + 2*p)*(462*p - 103*p - 104*p)*(4 - 4 + 2).\nAnswer: 510*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 15*g - 585. Let n be p(40). Let d(a) = -33*a + 3. Let h be d(-4). What is the greatest common factor of n and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (-2*sqrt(13)*1)**2 - sqrt(13) - ((sqrt(13) + -2)*-1)**2.\nAnswer: 4*sqrt(13) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1) + 77 + -86 + (3 - 20) + -4.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1511925196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = 2. Suppose -h + 2*h - o = 0, f + 3*h = 1590012. Round f to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24879 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 divided by 4?\nAnswer: -105\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.5682 - 0.0018. Let q = p - -0.57. Which is the closest to -0.1? (a) -1\/2 (b) q (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + (9\/(-3) - -1). Let c(a) = a - 6. Let q be c(x). Suppose q = -4*k - 5*f - 5, 2*k - f = f + 2. Solve k = 2*r - 2*m + 8, 3*r - 2*m + 15 = 2*m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4165013*h - 3. Let z(q) = -22*q. Calculate f(z(l)).\nAnswer: 91630286*l - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -32 - (-3408)\/168\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144044458.\nAnswer: 2, 72022229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 - -b0?\nAnswer: c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 33, 1, -316, 354 in descending order.\nAnswer: 354, 33, 1, -3, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80277875 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 38*h + 168. What is d(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/527)\/(-4*(-1)\/8)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1232.088 litres to millilitres.\nAnswer: 1232088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 630 and 33910506.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/14432 and 71\/16236.\nAnswer: 129888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 57732336.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 14*l**2 - 15*l + 21. Let f be h(-15). Suppose -5*u - 3*g = -f - 9, 0 = 4*u + 2*g - 22. Solve y = -0*y + u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -194, -290?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/143427 and 47\/334663?\nAnswer: 1003989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157 + 267. List the prime factors of w.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*o, -2*o + o + 4*r = 0. Suppose -x = -o*x - 2. Suppose -2*i = -2*c + 10, 10 + 28 = x*c + 5*i. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16012 - -16011.1867. Let v = p + 0.8. Round v to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 13 - 25 = 0. Suppose -2*t + 65 = -t + 5*q, -c*q + 160 = 2*t. What is the greatest common divisor of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -4)\/(15\/(-20)). Let n(j) = j**2 - j - 10. Let k be n(r). Suppose -k*h - g + 117 = -h, 0 = -5*g. Calculate the greatest common factor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*o = -12, 0 = v - 3*o - 2 - 0. Let h = v - -7. Suppose -g + 1 = -h*g - k, 5*k - 19 = 2*g. Sort g, 3, 5 in descending order.\nAnswer: 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {a: 8, b: 2}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -945?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3623660526.\nAnswer: 2, 3, 603943421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 2, l: 3, b: 1}. Give prob of picking 1 u and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 246 divided by 3\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1474525586?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2. Let o(t) = -17*t**2. Let n(b) = 4*b + 18. Suppose -2*g - 2 = z - 0, 0 = 3*g + 5*z + 10. Let d be n(g). Calculate d*y(l) + 4*o(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1555, 1557, 1559, 1561, 1563, 1565?\nAnswer: 1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - 3*z + 1 + z)*(-16941 + 16941 - 62*z**3) in the form x*z + l*z**4 + a*z**2 + h*z**3 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 + -94. Calculate the greatest common divisor of 256 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -13. What is the least common multiple of u and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 708360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**4 - 927*n**3 - 52034*n**2 + 52965*n = 0. What is n?\nAnswer: -535\/4, -99, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1168910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 28*g = -3*g + 325, 2*g + 26 = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f - 4. Let q(k) = 2*k + 6. Let a(x) = -x - 2. Let t(m) = -11*a(m) - 4*q(m). Give 6*p(j) - 11*t(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3593, 3597, 3613, 3647, 3705?\n\"Answer: w**3 - 3*w + 3595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, q: 3}. Give prob of sequence dqq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 50*g**4\/17 + 870*g**3\/17 + 1872*g**2\/17 + 1080*g\/17 = 0.\nAnswer: -15, -6\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 515800.8 years in centuries?\nAnswer: 5158.008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -53. Which is the closest to y? (a) 0 (b) -2\/19 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(77) + -2*-1*sqrt(77))\/(5*sqrt(28)\/sqrt(4) + -6*sqrt(14)\/sqrt(2)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibbbbdgiibibbdibbdbb. Give prob of picking 1 i, 1 d, and 1 g.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 304 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 3. Let i be d(5). Let k = 5280 - 73875\/14. Find the common denominator of k and 0 + ((-114)\/(-28) - i).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0329 + -274.0329. Let h = 273.9324 + q. What is h rounded to three dps?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 7*o**2)*(2*o + 1 - 1).\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 1:49 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -76*r - 80*r + 157*r - 5*j, 7*j - 21 = 2*r + 22*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 323*k + 49571. Calculate t(-154).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1528?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5 = -7. Let q(n) = -n + 1. Let o be q(z). What are the prime factors of (-57)\/(-4) - o\/(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*c + r, c - r - 2*r + 10 = 0. Suppose c*f - 390 = -v + 120, 4*f = -5*v + 1032. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*y**2)*(768*y**2 + 82*y**3 - 768*y**2).\nAnswer: -246*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from kpckcpptt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -34 and 18.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5572 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/2)\/(6\/40). Let u be a\/12 - (-2)\/(-4). Let y(x) = x + 2. Let c be y(-2). Is u at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*(-16)\/(-20) + 1689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, v: 3, f: 1, u: 1}. What is prob of sequence bv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27429 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.4 + 5. Let p = -2 - g. Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*l - i + 868, -2*l - 3*i + 437 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 86.99 and 5315869.\nAnswer: 5315955.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4590 and 4770.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941 a factor of 446969196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = -4*l + 3*l, -l - 15 = -3*o. Suppose o*f = -4*a - 25100008, -5*a = -5*f - 2*a - 25099994. Round f to the nearest 100000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00056933 rounded to 5 decimal places?\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2998436760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23)\/(-5) + 0 + (-16)\/(-40). Let h = 2 - o. What is the tens digit of ((-1)\/h)\/((-2)\/(-1038)) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-6) - (-144)\/27. Let j be -6*(15\/(-9))\/l. Suppose -j*q = -0*q - 34. Calculate the remainder when q is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1941, -7986, -18127, -32358, -50673?\n\"Answer: j**3 - 2054*j**2 + 110*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*f**2 - 13 - 37*f**2 + f + 2*f**3 as d + v*f**3 + c*f + h*f**2 and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**8\/3360 - u**5\/40 - u**4\/24 + 2*u**2. Let l(a) be the second derivative of i(a). Differentiate l(t) with respect to t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2 - 2. Suppose 6 = -3*v - 2*c, 0 = 4*v + 2*c - c + 8. Let u = a + v. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/121 and -505\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = -13*k + 250. Is (128769\/(-6))\/((-55)\/k - -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (-24)\/(-9))*-21. Let r be c\/(-6)*(-3)\/(-1). Let h(a) = -2*a**2. Let j(b) = 5*b**2. Let u(k) = r*h(k) + 3*j(k). Let g(i) = -4*i**2. Give g(u(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17778371 is divided by 17778359.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = -5*u + 10*m + 287815, 3*u + 2*m - 172689 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c + 0 + 0*c**2 + 0*c**3 + 1\/12*c**4. Let m(d) = -13 + 4 + 2*d + 9. What is m(i(w))?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 1 - 13 = y - 5*v, -16*y + 3*v = -112*y - 576 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4*11\/11. Let g = 2.8 - 3. Which is the third biggest value? (a) f (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 353 = -15. Calculate the remainder when b is divided by 3*(1 + 1) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d1e7 (base 15) to base 12\nAnswer: -21791","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 10385133 = 7*j + 12*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34450, 34429, 34398, 34351, 34282, 34185, 34054, 33883?\nAnswer: 33666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26572)\/(-876))\/((35\/(-15))\/(-1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 407084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.005136 + -42.971136. Let h = j + 43. Let z = h - 0.065. What is z rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n = -19*n + 11*n - 5536881. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 12*p**2 + 0 - 14*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-45)*u*u)\/(u*u**5) assuming u is positive.\nAnswer: u**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47876*b*w**3*x - 20*b*w**3 + 154*b*w**2*x + 5*b*w**2 - 1002*b*w*x - 6*w**3*x wrt w?\nAnswer: 287256*b*x - 120*b - 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 2716910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -546056 (base 7) to base 6\nAnswer: -2015122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -52*s - 153. What is x(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -19.4. Let n = -0.6 + f. What is the closest to 2 in 2\/11, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -713115 + -3?\nAnswer: -713118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -7\/2, 4\/3, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.35 - -0.15. Let q(u) = u**3 - 5*u**2 + 2*u. Let m be q(4). Let n(a) = -a**2 - 8*a - 1. Let l be n(m). What is the nearest to l in -2\/3, 2, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5)\/q**(-2\/15))\/(q**0*(q*((((q*q**(-1\/3)*q*q)\/q)\/q)\/q)\/q*q)\/q) assuming q is positive.\nAnswer: q**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 42 = -5*g. Is g <= -4\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -1, -6, 0, -41 in descending order.\nAnswer: 8, 1, 0, -1, -6, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -528, -1058, -1584, -2106, -2624, -3138?\n\"Answer: 2*t**2 - 536*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(38\/(-95) + 18\/20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:13 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*q + 3. Let v(w) = w**2 + 2*w + 1. Let s(r) = -r**2 - r - 3. Let z be s(0). Calculate the remainder when v(z) is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -242, -1, -6, 179 in descending order.\nAnswer: 179, 33, -1, -6, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 26 = b, -122*b - 5*r = -123*b + 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 1, o: 1, b: 1, m: 1}. Give prob of picking 1 b and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -17*l + 33. Let v be k(-10). Let r = -9 - -38. What is the greatest common factor of v and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*p - 1264*p**2 + 141*p + 3951*p**5 + 9*p wrt p?\nAnswer: 237060*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114c (base 16) in base 13?\nAnswer: -2028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 33.657?\nAnswer: -67.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, x: 3, o: 4}. What is prob of sequence xe?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + q + 2 = 1, 5*v - 6 = 4*q. Let p(r) = -3*r - 2 + v*r**2 + r**2 + 2*r**2 + r. Let s(a) = -11*a**2 + 5*a + 5. Give 5*p(n) + 2*s(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 8*m + 9. Let l be a(-9). Suppose l = -f - 5*d - 4, 0*f + 2*f + 5*d + 3 = 0. Suppose -q + f = 3. Is q > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1304930\nAnswer: -1\/260986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36733 = 2*w - n, -6*w + 2*n = -3*w + 55098. What is the common denominator of 10696\/w - (-1)\/(-8) and 26\/11?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -839722.\nAnswer: -839722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90838675?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 24*m**2 + 56. Let q(r) = 14*r**2 + 4. Determine f(q(w)).\nAnswer: 4704*w**4 + 2688*w**2 + 440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*m + v - 2, -v - 12 = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4441 + 15718 = 63*s. Solve 0 = -g + 4*a + 21, -176*a + s*a + 19 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.66 - 19. Let b = 0.19 - l. Let z = -0.23 - b. What is z rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94756569.\nAnswer: 3, 239, 132157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -18, -17, 48, 2, 38 in descending order.\nAnswer: 48, 38, 2, -3, -17, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c**2 - 7*c - 11. Let h be (-5 - -6) + 1 + -9. Let q(u) be the first derivative of 2*u**2 + 2 + 7*u - u + u**3 + 0*u**2. What is h*q(w) - 4*j(w)?\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 47, 112, 205?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 3:49 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1206\/(-36))\/(-67) - (-7)\/(-6). Which is the closest to 41\/8? (a) 0 (b) s (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 30. Let z(o) = -o**3 - 10*o**2 - 11*o + 9. Is z(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4414*o + 1253603. What is k(284)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4*1\/(-45))\/((-891)\/135 + 7). Let f = -651\/5 - -131. Sort k, f, 2\/11 in increasing order.\nAnswer: k, 2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -161*z**2 - 69071*z - 771. Give k(-429).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = -5*c + 15, -3*c = 5*k - 34 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -840 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -0.516 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((1 - -2) + 55\/(-15))*-14. Solve 205*o - t = 208*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 2 + x - 4*x - 5. Let d be v(6). Suppose 93 = 4*f - w, -4*w + 31 = 3*f - d. Solve -3*s = -4*o - f, -3*o - 9 = -s + 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - j - 162. Let d be (j\/(-27))\/(4\/(-462)). Calculate the greatest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.92 - -1.22. Let v be ((-30)\/(-54) - 1)\/(4\/6). What is the closest to -1 in n, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = -4*j, -3*t - 2*j - 2*j - 15 = 0. Let a be (-796)\/(-16) - t*2\/8. Calculate the greatest common divisor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 12*v - 1008 = 0. Calculate the lowest common multiple of 36 and v.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - bb5b1?\nAnswer: -bb605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/13552 and -75\/522236.\nAnswer: 14622608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*p = -9, -14*p - 3*p - 48 = 5*i - 19*p - 49 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52883152 to the nearest integer?\nAnswer: 7272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 367083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*((sqrt(3024)*-2*3)\/(sqrt(343) + (sqrt(343) - 2*sqrt(343)*-5)) + 3).\nAnswer: 6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -85, 968, 2721, 5174?\n\"Answer: 350*l**2 + 3*l - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 15088*u**3 + u - 143 - 4*u + 3*u - 15100*u**3 in the form r + n*u + i*u**3 + l*u**2 and give r.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 <= 99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 9775541858?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4590, 4556, 4500, 4422?\n\"Answer: -11*y**2 - y + 4602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 117 = -5*r - 103, r = -4*i + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119 and 5321.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72.79*34.\nAnswer: 2474.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 54*n**2 - 11*n - 47. Suppose -6*v + 0 = 18. Does 33 divide c(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 15*t**2 - t - 12. Let s be i(-15). Suppose 0 = x + 3*x + 20. Sort 0, x, 2, s in decreasing order.\nAnswer: s, 2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**4\/12 + 48*q. Let i(s) = 18*s. Calculate h(i(x)).\nAnswer: 324*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 606*i + 609.\nAnswer: -3*(i - 1)*(i + 203)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/14? (a) 0.4 (b) 45\/2 (c) 0.04 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -274217*47.6\nAnswer: -13052729.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 10*p**2 + 19*p. Suppose 4*w = -5*z + 48, -3*w = 5*z - 30 - 16. Let m be f(z). What is the highest common factor of m and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -33*w**3 - 2*w**2 + 7*w - 16. Give b(3).\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -171*b**3 + 4*b**2 - 6. Let m(h) = h**2 + h - 1. Give -4*m(p) + v(p).\nAnswer: -171*p**3 - 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 355859?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -10016330?\nAnswer: 10016324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 573b7?\nAnswer: 573b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 29.2. Let s = -4370 - -100512\/23. Which is the biggest value? (a) i (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a + 5e8?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33.05 - -33. Which is smaller: f or 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1360 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242867*r**2 + 485752*r**2 - 242887*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 65.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.704384 to one dp.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 7*o = c - 48, 4*c = o + 140. Calculate the least common multiple of c and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - n**2)*(2*n**2 - 3*n**2 - n**2) + 28*n**4 + 0*n**3 - 3*n**3 - 44*n**4.\nAnswer: -14*n**4 - 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -111101010 (base 2) to base 10\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(((h*h**(-15))\/h)\/h)\/h*h)\/h)**(-2\/137)*(h*h\/(h\/(h\/(h*h**(-16\/7))*h)*h))**(-2) assuming h is positive.\nAnswer: h**(-6078\/959)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*(sqrt(18) + sqrt(162)\/sqrt(144))**2 + (0 + -3 + (sqrt(242) + sqrt(242) + -1)*-1)**2.\nAnswer: 88*sqrt(2) + 1269\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 9. Let r(w) = -w**2 + w + 4. Let k be r(3). Let i be 4\/12*(4 - k). Sort 1, i, t in ascending order.\nAnswer: 1, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28671 (base 14) to base 16.\nAnswer: -186db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19635 divided by 11.\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-6) - (-12)\/12*4.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a924ca - 2?\nAnswer: -1a924cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2787687440 from 0.00385.\nAnswer: 2787687440.00385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-6))\/((-275)\/(-330)). Let w = -4 - -1. What is the smallest value in 0.5, i, w, -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(16) + sqrt(2592)\/sqrt(2))\/(3*(sqrt(8) - (sqrt(8) - sqrt(72)))).\nAnswer: -40*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 184666*r + 10. Let f be w(15). Round f to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(39\/(-154))*18\/33.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1402)\/42 + 12 - -21)*(-3)\/(-4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4116 by 7.\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4329, 8668, 13007, 17346, 21685, 26024?\nAnswer: 30363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.52?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 10:35 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5406958ml to litres.\nAnswer: 0.0005406958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/(-7))\/(-3)*(-3)\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*f + 50, -17*f = -3*w - 22*f + 205. What is the remainder when 175 is divided by w?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5340 and 2357892?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65833672 times 4?\nAnswer: 263334688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.0492 + 4.0492. What is the third smallest value in j, -0.2119, -5\/4, -1?\nAnswer: -0.2119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3\/10 - 159211*j**2\/2 + 398027*j\/5 = 0.\nAnswer: 0, 1, 796054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 77*b. Let z(j) = -3312*j. Give 128*m(r) + 3*z(r).\nAnswer: -80*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 173922 and 3444.\nAnswer: 347844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -0.06446957\nAnswer: 0.83810441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28480.96 milligrams to nanograms.\nAnswer: 28480960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -361722 (base 10) to base 12\nAnswer: -1553b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in meters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1749811 nanograms in kilograms?\nAnswer: 0.0000000000001749811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 + 4*r - 3. Let l be s(2). Let m be 48\/84 - l\/7. Let c be 48 - 3\/(m\/1). Calculate the highest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1408 and 1232?\nAnswer: 9856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165 + -157. Let n(r) be the second derivative of 5\/12*r**4 + z*r + r**2 - 1\/20*r**5 - 5\/6*r**3 + 0. Calculate n(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 4. Let u = -11 - -8. What is the remainder when s(u) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 8:48 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 125819827 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {n: 1, w: 2, y: 11}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -200023335 (base 6) to base 14\nAnswer: -63761d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.4, -374, -1\/4, -15, 0.3 in increasing order.\nAnswer: -374, -15, -0.4, -1\/4, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -199240 and -163.625?\nAnswer: 199076.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = -u. Let s be (6\/u)\/((-1)\/(-12)). Let x(i) = i**3 + 8*i**2 - 11*i - 12. What is the units digit of x(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 4, -2, -12, -26, -44, -66?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 - 374*g**2 + 3743*g - 1167. What is c(-134)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 1:46 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/32 - 2125\/(-40). Suppose -3*p - 12 = 5*b - 8, 4*p - 5*b - f = 0. Let l(w) = -w + 5. Determine l(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*b - 314, 5*h = -7*b + 8*b + 554. What is the greatest common factor of h and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3076 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007758382 rounded to seven decimal places?\nAnswer: 0.0000776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2. Let u(h) = -h**3 - 4*h**2 - h - 2. Let y be u(-4). Let f(g) = g + y*g + 0*g. What is n(f(b))?\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*c**5 + 126900*c**4 + 12723532*c**3 - 1029667620*c**2 + 933385024*c + 83431920 = 0 for c.\nAnswer: -286, -5\/61, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - -25. Let q = u - 17. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001689 rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8052353 seconds in minutes?\nAnswer: 0.030087255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*t + 23 = 0, -5*p + 3*t - 205 = -248 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (8\/5 - 1). Let h = -255 - -164. Let l = 91.05 + h. What is the smallest value in 0, l, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201 divided by 6066.\nAnswer: -67\/2022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 3*w**2 - 2*w - 2. Let t be o(-3). Solve 0 = 2*m - 5*u - 4, 2*m - 6*m - 20 = t*u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17915 + -34315. Round l to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - (-5 - (19 - 41)) - 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 - 0.9. Let i = 0.26 + 0.04. Let l = -258 + 267. Which is the closest to l? (a) i (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234 by 117.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*j - 51. Suppose 4*i - j*i = -33. Suppose -i*h - 4 = -5*h. Solve h*x + 0*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0\/d)\/d)\/d*d)**(-31)*(d**(1\/2))**(-4\/15)*((d**(-1))**(-3\/26))**(2\/119) assuming d is positive.\nAnswer: d**(1435661\/23205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*p + 2132 = 820 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22454 - 22264. Calculate the greatest common factor of 646 and i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2190 or -15?\nAnswer: 2190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*c*w**4 + 293*c*w**2 + 2*c + 2*w**4 - 2*w**2 wrt w.\nAnswer: 840*c*w + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 9119?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*q - 76035 + 444593, 5*q = 3*j - 552843. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2518814 divided by 2374.\nAnswer: -1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5229 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-36))\/(1\/(-4)). Suppose -2*k - 2 = d, 0*k = -k - 3*d - 6. Let l = 58\/45 - 8\/9. Which is the closest to t? (a) k (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v - 24 = -26*v. Let u be (0 + 1)\/(1\/2). Suppose -u*j + v = -j. Which is smaller: 8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + i - 40350 = 12292, 3*i = 3*s - 157908. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 + 1079*u + 2159\/2.\nAnswer: -(u - 2159)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + -4 + 20 + -10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4376, 15706, 34590, 61028?\n\"Answer: 3777*b**2 - b + 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-34) + (-13)\/(8619\/27)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2*f - 14 - 14.\nAnswer: -2*f - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 17 + 10 - (24 + -7 - 4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12208 and 90361.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1431*o - 20040. Calculate a(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/235311 and 31\/11.\nAnswer: 2588421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3446199 - -3446190.799962. Let g = 8.2 + w. Round g to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2. Let u(t) = 91*t**3 + 3*t**2. Calculate -3*k(s) + u(s).\nAnswer: 91*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {g: 1, p: 1, l: 1, k: 1, r: 5}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l**3 - 108*l**2 + 50*l + 4212. Determine h(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9*((-10)\/3 - -3). Suppose 2*x + 1 = o, -o - 5 = x + t*x. Let w = -6 + 1. Put 0, w, o in ascending order.\nAnswer: w, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2000?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 34 = -56. Does 14 divide 4\/r + (-317)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x - 20*x = -6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 525665098?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 197 + -193. Solve w*d + 9 + 3 = 0, 5*j - 5*d = -10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 3*g + g**2)*(g**3 + 3 - 3) + 13 - 13 + g**3 - 3*g**5.\nAnswer: -2*g**5 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(847) + -2)**2.\nAnswer: 88*sqrt(7) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4546?\nAnswer: -4546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g + 7*g + 5*g. Let k be -2 - 2\/1*-2. Let r(u) = -16*u**2 - 5*u**k + 19*u**2. Determine r(c(j)).\nAnswer: -98*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 421, -2\/39, -14 in decreasing order.\nAnswer: 421, -2\/39, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 2*o**2 + 7*o**2 - 2*o + 2*o - 12*o**2 to the form j + b*o + l*o**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 - 745 + 851 - 11*f**2.\nAnswer: -15*f**2 + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3*-1)\/(385\/110)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - 2*s**3 + 0*s**2 - 3*s**3 + 3*s**3 - 2*s**3 + (0*s + 0*s - s)*(5*s + 5*s + s)*(45 - 18 - 12 + 3*s).\nAnswer: -37*s**3 - 165*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53344508*a*b**2 + 305444*a - b + 378 wrt b?\nAnswer: -106689016*a*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1559342 and 183452?\nAnswer: 3118684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425, 845, 1265, 1685?\nAnswer: 2105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 >= 2415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-468)\/30*(-4275)\/30. Is z > 2223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 27\/2 of a second?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 13*x + 11. Is j(-15) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*i + 49309 + 50388 = 1384*i + 12313 for i.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - (23 - 54)) + (-1 - -3 - 5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 + j**2 - j. Let o(i) = 12*i**3 + 3*i**2 - 5*i - 3265. What is o(r) - 5*v(r)?\nAnswer: 2*r**3 - 2*r**2 - 3265","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -29*v + 5. Let t(s) = -15*s + 2. Determine 4*c(r) - 10*t(r).\nAnswer: 34*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3 - o)*(79*o + 201*o - 53*o + 3*o**2).\nAnswer: -3*o**3 - 230*o**2 - 227*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 91 = 78. Suppose 5*z = -54 + q. Let n = z - 16. What is the remainder when 12 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, f: 5, e: 3, g: 3}. Give prob of picking 1 f and 1 g.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o**3 - 13*o**2 - 12*o - 5. Let j(a) = 11*a**3 + 27*a**2 + 24*a + 9. Let d(z) = 9*f(z) + 4*j(z). List the prime factors of d(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*i + 65, -i + 4*g = -0*g + 12. Suppose -9*l + 3 = -i*l. Solve 3*s = -3*z - 24, 5*s + 0*s = l*z - 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.7 in -2\/3, 4, -2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -822793\/219 - -3757. Let b = -14773\/2190 - z. Let v = -243 - -220. What is the common denominator of b and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 10*i**2 + 78*i + 35. Determine b(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 25. Suppose -4*b + 3*a + 2*a = -m, -4 = a. Solve -1\/3*k**4 + 0 + 8\/3*k + b*k**3 - 4*k**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160695 by 45.\nAnswer: 3571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 58\/15 - -4*4\/(-4). What is the closest to -0.2 in g, -3, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11, 2\/5 in descending order.\nAnswer: 1, 2\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10501 (base 6) in base 10?\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) 3 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/47509 and 2\/3927.\nAnswer: 2422959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 143 = m - 108, -o = 4*m - 1004. Suppose 0 = 6*g - 965 + m. Calculate the remainder when g is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22012783 a multiple of 1651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -7. Let k = -3 + g. Suppose -12 = -k*y + 18. What is the greatest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 58*q**2 - 821*q + 4358. Let f(v) = -5*v**3 + 230*v**2 + 3282*v - 17433. Let s(g) = 2*f(g) + 9*z(g). Factor s(b).\nAnswer: -(b - 4)*(b + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**2 - 4*n + 4. Let s be o(5). Let m = s + -46. Calculate the remainder when m is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3 + -2 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 + 73. Suppose -u - 5*x - 20 = 0, 0 = -k*u - 0*x - x - 4. Solve u = -3*b - 6 + 18, -5*r + b + 21 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(-r**2 - r**2 + r**2) - 5*r + 2*r**2 + r + 5*r.\nAnswer: r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3726605.3827 - -3726858. Let m = -237.61727 + u. Let k = -15 + m. What is k rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1\/(-71)) + -2 + 5. Let r(k) = -k + 2. Let i be r(4). Does 12 divide 10\/i*m\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 7:30 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1797 - -1795. Put -1.7, 4, f in descending order.\nAnswer: 4, -1.7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/10 - (9 - 41\/5)) + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*h + 6*h. Let d(v) = 39*v**3 + 2*v**2 + v - 3. Is d(h) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*v + 3 = 0, v = 2*g + 5*v + 6. Let q(x) be the third derivative of 0*x + 1\/6*x**3 + 0 - 13\/12*x**4 + 56*x**2. Calculate q(g).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:02 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)\/(g**(-3\/8)*g))**33 assuming g is positive.\nAnswer: g**(-1749\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a**2 - 61*a + 8. Let i(n) = 5*n**2 - 31*n + 3. Determine 2*d(r) - 5*i(r).\nAnswer: -3*r**2 + 33*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p - 17 - 35 - p**2 + 65. Give j(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mow when three letters picked without replacement from uwdnnmmo.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**5\/4 - 2163*l**4\/2 + 34431*l**3\/4 - 5367*l**2 - 15057*l = 0?\nAnswer: -1, 0, 2, 7, 1434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/12612 and 101\/6.\nAnswer: 12612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 - -718.91766.\nAnswer: 695.91766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1208393 or 1?\nAnswer: 1208393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 2*g + 2. Let r be 2 - (1 + -2 + 2). Let c = r - -2. Let y(v) = -4*v**2 + 2*v - 3. Suppose 0*m = -2*m + 4. What is c*k(o) + m*y(o)?\nAnswer: o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + -3 - (-22)\/77. What is the closest to k in -5, 0.1, -0.4, -2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-11)\/(-2) - 2)*16. Suppose 0 = 54*s - b*s + 4. Suppose -4*t - 285 = -6*t - 5*r, 293 = s*t - 3*r. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 0)\/3 - 2\/(-2). What is the hundreds digit of 93783\/215 + j\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/5 + 9\/5. Is h > 1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201112222121 (base 3) to base 9\nAnswer: -645877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -324342 divided by 74\nAnswer: -4383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.2 (c) 1607 (d) -0.3421 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -244 + 256. Let p(s) = -2*s - j - 3*s + 6*s + 2. What is p(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-100)\/(-30)*((-72)\/15)\/(-4). Suppose -5*o - 256 = -p*i, 0*i - 307 = -5*i + 3*o. What is the remainder when i is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5480256*k**2*t**2 - 1845436*k*t**2 wrt k.\nAnswer: -10960512*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 11 = -3*i, -2*i + 37 - 14 = -3*o. Let b(h) = 3*h + 20. Determine b(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*q - 5*a, 4*a = 3*q - 0*a + 18. Let d(b) = -b - 3. Determine d(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from ypjpdql.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + (3 - (-5 - -2 - (-235 - -251))).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 6*b**2 + 3*b - 14. Let h be p(6). Let d(o) = -o + 37 - h + 0*o - 15 - 10. Determine d(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*g + 4*t, -25 = -3*t + 8*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1544375 or 6177497\/4?\nAnswer: 1544375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 294 (b) -4 (c) -6\/7 (d) -1\/2 (e) 279.8 (f) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9*y**2 - 11*y - 6. Let v = 7575 + -7571. Let n(b) = 5*b**2 - 6*b - 3. Determine v*x(p) - 7*n(p).\nAnswer: p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 717 + 272*o**4 - 1426 + 709 + (18*o + 4*o**3 - 18*o)*(-4 - 2*o + 4).\nAnswer: 264*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) -2\/35 (c) -3\/2 (d) -1 (e) -6 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -3\/4, -1\/3, -2, -6\/145, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 2*f. Suppose 2*b - 1 = -9, -3*s - 14 = 5*b. Let t(x) = 3*x + 3*x**2 + x**2 - 4*x**2 - x**s. Give 4*n(g) - 3*t(g).\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501191 - j - 501171 + 9*j**2 - 3*j**2 + 1002362.\nAnswer: 6*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*s = 112*s - 490. Which is the nearest to 1? (a) s (b) -4\/3 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.768 - -0.988. Let i = -1.7 + d. Round i to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n = -90. Let w = n - -1. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146*t**3 - 9*t**4 + 31*t**2 - 146*t**3 - t**2 wrt t.\nAnswer: -216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2453095.\nAnswer: 5, 490619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.43 + 0.43. Let s = -3 + d. Let x = 93 + -463\/5. Sort s, x, -0.08 in increasing order.\nAnswer: s, -0.08, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 - 24*f - 10. Give a(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/3)*k)**(1\/56)*(k\/(k**1\/k))\/(k**(-1\/2)\/k)*(k**(-3\/4)\/k**(2\/3))**(-3\/4) assuming k is positive.\nAnswer: k**(1205\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*x + 870 = -411 - 1094 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3853, 28044, 93481, 220786, 430581, 743488, 1180129?\nAnswer: 1761126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*a**3*q**4 - 3*a**3*q - a**2*q - a**2 + 420*a*q - 1863*q**3 wrt q?\nAnswer: 132*a**3*q**2 - 11178*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.63 + -4.37. Let z = 0 + -0.2. Which is the closest to 0.1? (a) -0.6 (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1524 and 11049?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 287649316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 4*a - 5139 = 0. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v + 4. Let c(q) be the first derivative of -2*q**3\/3 - 43. What is c(n(m))?\nAnswer: -162*m**2 + 144*m - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 11:36 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9947 + 30458. Suppose 167*l - 176*l = -o. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**0*h\/(h\/(h*h**(-8)))*h*h*((h\/((h\/h**(3\/5))\/h))\/h)\/h**(-7))**(-6\/11) assuming h is positive.\nAnswer: h**(-108\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11458 at most -788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152 + 0.04247758444?\nAnswer: 2152.04247758444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*z**2 - 66*z**2 - 201*z**2.\nAnswer: -490*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20 - 13 - 5 + 47*x**5 - x + 5*x**5 wrt x.\nAnswer: 1040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-23)\/12 - 19\/57.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11595 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1952.55 - -0.41.\nAnswer: -1952.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*b + 2*b = 306, 5*x - 510 = 5*b. Let w = x - 44. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-6 - -15 - 18) + 6 + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-45)\/(-25) - (-4)\/20. Factor -8\/3*j - 8\/9 - 26\/9*j**f - 2\/9*j**4 - 4\/3*j**3.\nAnswer: -2*(j + 1)**2*(j + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 33*o**2 + 53*o + 640. Let g be v(35). Solve -g*f - 10 = -40*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140180836 by -4.\nAnswer: -35045209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14015419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 508 divided by 4.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 11*w - 8. Let f be t(10). Suppose -x - 10 = -f*x - 3*k, 0 = -x + 5*k + 18. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003191691 to 6 decimal places.\nAnswer: -0.003192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*q**4 - 10*q**3 - 3*q**2 + 0*q**3 + 17*q**3 - 5*q**3 + q in the form h*q**2 + t*q + d + s*q**3 + g*q**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 250331?\nAnswer: 250323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(300) + sqrt(300))*5 + sqrt(300))**2 - ((sqrt(300) + 1)**2 + 4 + sqrt(300) - sqrt(300))) + 2.\nAnswer: -20*sqrt(3) + 35997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0 + (1 - 2 + 3)*(-3 + 3 - 1))*((-346 + 721 - 322)*(0*w**2 + 2*w**2 - 3*w**2) - w**2 - 4*w**2 + w**2).\nAnswer: 228*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1743*l - 192. What is the thousands digit of s(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + 1. What is the remainder when 230 is divided by c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139 + 14*w + 139)*(2*w**3 + 0*w**3 - 6*w**3)*(-3*w + w + w + (-2*w + 0*w + 4*w)*(1 - 5 + 5) - 2*w + 3*w + w).\nAnswer: -168*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, c: 7}. What is prob of picking 2 e and 1 c?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q + 15. Let d be t(-6). Let p = -4 - d. What is the greatest common factor of p and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3709916?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -1478?\nAnswer: -2956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (4 + (-2)\/1)\/(16\/2808)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 136 + -139. Let k be (a\/(-2))\/((-3)\/364*-7). Solve -18 = -2*q - k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 17*t**2 - 4*t - 2. Let x be 9\/(-936)*-13*8. Let u(r) = -r. Determine x*k(h) - 4*u(h).\nAnswer: 17*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-14) + (-24)\/(-84). Let p be (2\/3)\/(4\/138). Suppose -3*n - p = 4*g - 0*g, -3*g - 5*n - 20 = 0. Sort v, g, 3 in increasing order.\nAnswer: g, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5163, 10331, 15499?\nAnswer: 20667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 103, 155, 209, 265, 323, 383?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6570957 - -5.6570722. Let j = s - 5. Round j to six decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**2 + 8*m + 7. Let s be (-1 - (1 + 0))*(-150)\/(-100). What is the remainder when j(s) is divided by 32?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 y when four letters picked without replacement from ayfofvfvaayffwy?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000000000011 (base 2) in base 16?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/2, 4, 316, -3\/5, 0.5 in increasing order.\nAnswer: -3\/5, 0.5, 4, 17\/2, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7756316 is divided by 104.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 8*h - 6*h + 15, 2*h = 3*v - 5. Solve 0 = 3*y + v*j - 12, 4*y + 0 - 16 = 2*j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127905073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 12:49 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 920 = 453*o - 223*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28b02 + 0?\nAnswer: -28b02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.8 + 2.2. Let o = v + -10. Let j = 0.3 - -0.7. Which is the third biggest value? (a) 1\/2 (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -17\/4*r**2 - 7\/3*r**3 - 3*r + 4 - 3\/8*r**4. Factor t(a).\nAnswer: -(a + 1)*(a + 3)*(3*a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 6491*r**3\/3 + 12611*r**2\/2 + 321*r. Find the first derivative of q(n) wrt n.\nAnswer: 12982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 1 + 5 - 0) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24231 - -5?\nAnswer: -24223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. Let k(x) = 0*x**c - 6*x**2 - 3 + 7 + 3 + x**3 + 6*x. List the prime factors of k(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 68 + 0\/((-4)\/2). Let c = i + -68. Is c\/((5 + 1)\/(-3)) + 745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12.096 (b) 1196 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-56)\/(6\/18 - 39997\/120000). What is a rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -954*f + 965*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7*d + 12 = 0. Solve 5*u + 26 = d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4252963, 4252960, 4252957, 4252954?\n\"Answer: -3*g + 4252966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6148, 4789, 2526, -641, -4712, -9687?\n\"Answer: -452*v**2 - 3*v + 6603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 177 = -2*f - 51, 2*h + 136 = 2*f. Suppose -210*r = -204*r - f. Calculate the highest common factor of 44 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:14 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 45*u**2 + 26*u + 46. Let c be p(-6). Suppose -2*s - 14*m + 16*m = -c, 3802 = 5*s + 4*m. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 2:09 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3899272 divided by -37493\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3*v*y**2 + 435*l**3 - l**2 - 228*v*y**2 - 4*y**2 wrt v.\nAnswer: -2*l**3*y**2 - 228*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/2)\/1 - 7. Let r(t) = t**2 - t - 6. Let d be r(u). Let j = d - -1. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*c = -g - 34, 0 = g - c + 10. Let u be 105\/(-20) - 2\/g - 72. Is u greater than or equal to -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11151*f**4 - 2*f**3 + f**2 - 2*f - 7732.\nAnswer: 133812*f**2 - 12*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/37 and 63\/36445?\nAnswer: 36445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77\/4598*11*440\/(-154).\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.04 = -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32095880*d**4 + 9*d**2 - 126*d + 9744 wrt d?\nAnswer: 770301120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 8*t - 3. Calculate p(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -56?\nAnswer: -5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.5 + -1.7. What is the closest to y in 2\/3, 17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) + sqrt(24)*-3)*-3 - sqrt(24))\/(sqrt(96)\/sqrt(2)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14112586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*g - 2 + 17*g - 143*g - 100*g + 12*g in the form y*g + o and give y.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16*11\/(-18656)*(-12 - (8928\/(-40))\/18)\nAnswer: 1\/265","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 + 63881\/1905)\/(2\/15)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-16 - (2 - 31)) + (-11 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(100\/(-24)))\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -943\/70 - -113\/14. Let t = 44446\/11 + -4036. What is the common denominator of t and w?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43979691*v + 11548450 with respect to v.\nAnswer: -43979691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 6:08 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3 + 141*b**2 - 3816*b + 23760 = 0.\nAnswer: -165, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3445 - -101522?\nAnswer: 65044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqefppyppyppyf. What is prob of picking 1 f and 1 p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 3148090013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.8159 to two decimal places.\nAnswer: 17.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2*j + 16, 0*j + 12 = -5*o - 2*j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*l**4 - 7*l**3 - l + 6051 wrt l.\nAnswer: -92*l**3 - 21*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 + c**3 + c**3 + 13*c + 3*c**3 to the form n*c + p + o*c**2 + t*c**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 877 - 969.8. Let f = 84 + p. What is f rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-2\/3)*w*w*w))**(2\/127)*((w**(-1\/2)\/w*w)\/w)**(-34) assuming w is positive.\nAnswer: w**(19417\/381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 178*f - 278*f + 1 + 917*f + 481*f. Let r be y(1). Suppose 4*g + 455 = r. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 1, o: 3}. Give prob of sequence pg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1710 + 3079. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -7, -0.9, -8\/553, 1, -0.01, -2\/7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7841?\nAnswer: 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885*h - 991 = -997*h - 5194 - 3525 for h.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v = -154 + 82, 4*s - 3*v = 84 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1224 - -29.1224. Which is bigger: y or -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**4 + 1335*c**3\/2 - 2345*c**2 + 4695*c\/2 - 671 = 0?\nAnswer: -671, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 65316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 7*a - 3. Let z be m(6). Let n = 5 - z. What is the third derivative of 3*j**4 + n*j**2 - 3*j**4 + 2*j**4 wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b**3 + 15*b**2 + 24*b + 4. Let n(m) = 81*m**3 - 240*m**2 - 387*m - 66. Let f(x) = 33*h(x) + 2*n(x). Suppose f(r) = 0. Calculate r.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 2*s - 367. Calculate the highest common divisor of s and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*42\/(-182)*15\/180.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(8\/10 - (-13)\/(-10)). Solve w = 8*l - 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h**3 - 5*h - 5. Let s(z) be the second derivative of -11*z**5\/10 + 8*z**3\/3 + 8*z**2 - 3*z. Give -16*r(c) - 5*s(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 2. Let k be ((5 - w) + -2)\/1. Is k bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1130216 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 989455 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 8:39 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -47*y - 18. What is the hundreds digit of a(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -23 - (15 + -6 - (2 - -1))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 59 = 41. Suppose -i = -0*i + 3. What is the lowest common multiple of y and ((-1)\/i)\/((-6)\/(-72))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3605 and 69937.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8276598 divided by -6?\nAnswer: -1379433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -13. Solve s = -3*s - h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55523667853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1321\/7 + 62255\/329. Calculate the common denominator of a and ((-112)\/(-10) - -1)*1.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 15695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 929298408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45738169*j**3 - 777535347*j**2 + 229941*j - 17.\nAnswer: -(j + 17)*(6763*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 3.\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 357950 divided by 357950\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**0\/(q**(3\/5)*q)*q**(1\/3)\/(q**(3\/14)\/q) assuming q is positive.\nAnswer: q**(-101\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 13. Let o(x) = 11*x - 508. Let u be o(46). Give p(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100100110 (base 2) to base 7\nAnswer: -2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3982 + -596. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from shnjb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 11*g = 42 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6 + 3\/(-42)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 993 + -1705. List the prime factors of (11\/(-44))\/(2\/d).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -5*r + 34 + 76, 5*k - 12*r = 3*k - 44 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7486128 and 224976?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10911000 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3309.03 meters to nanometers.\nAnswer: 3309030000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.45+-1713\nAnswer: -1713.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 948 and 42.\nAnswer: 6636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**5\/2 - 75*n**4\/2 - 150*n**3.\nAnswer: -3*n**3*(n + 5)*(n + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**4\/4 + 24*w**3 - 9*w**2\/2 - 49*w - 4392. What is the second derivative of m(l) wrt l?\nAnswer: 6*l + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 7:55 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*y - 111 = 0, 5*y = i - 8 - 10. Calculate the highest common divisor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f + 4. Let o be q(-1). Let u(x) = -3*x**2 + 19*x + 13. Let d(h) = 7*h**2 - 38*h - 26. Let y(t) = o*u(t) + 6*d(t). List the prime factors of y(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 7:10 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -7)*(-4 - -1 - 10)\/(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 106972 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -0.4 (c) -3\/2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5*195\/(-36))\/((-84)\/504).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20473 and 1388?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17279.52km in nanometers?\nAnswer: 17279520000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1239224591?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**3 - 165*a**2 - 2349*a - 2187 = 0?\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2326932208.\nAnswer: 2, 145433263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -99090, -99092, -99094, -99096, -99098?\n\"Answer: -2*f - 99088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-30) - 1\/(-5). Let y be 2\/6 - (-8)\/3. Solve -y*z - t + 2 + 3 = q, -5*t = -z - 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94\/(-12))\/((5898\/39320)\/(((-54)\/20)\/(-3))).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = x - 17. Let l = -364 + 379. Calculate the remainder when x is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -340193865 greater than or equal to -340193865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10187)\/(-183))\/((-1)\/(-123)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 424 - 419 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3517819 to the nearest integer?\nAnswer: 1876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -4)\/13*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -99\/25967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t - 2. Let h be w(-1). Let y(d) = 3*d - 2*d - h*d. Let r(i) be the third derivative of i**5\/60 + i**2. Determine r(y(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 3, f: 5, j: 3, l: 4, b: 1}. Give prob of sequence wbj.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2 - 39*j - 423. What is g(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from {u: 1, q: 3, e: 1, o: 4, y: 9}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/30 and 79\/99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0203 - 133.9797. Let h = -183 - s. Which is bigger: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 118. What is the hundreds digit of (-520)\/f*2*-13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2225\/97 or -24?\nAnswer: -2225\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000990294 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10 + 32\/20. Let s be 25\/10 - (-1)\/j. Differentiate -1 - 1 + s*l**2 - 1 with respect to l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 15. Suppose 9 + 12 = 3*x + 3*i, -o*x - i = -43. Solve 7*k = 4*k - x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19602798 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 2. Let x be n(2). Let p = -4 - -9. Let l(r) = -4*r**3 - 3*r - 2. Let i be l(-1). Solve 0*o + i*o - p = x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(3915\/108)\/29?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 6654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/28)\/(1\/7). Suppose 0 = -5*m - 3*h + 91, -5*m + 8*h - z*h + 112 = 0. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -250*o**4 - 11*o**3 - 52297*o**2?\nAnswer: -6000*o - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -1. Suppose 0*z + 3*z = j. Put z, 1, -2 in descending order.\nAnswer: z, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 24 = -4*u - l, -u - 3*l = -16. Is (-20355)\/(-30) + 2\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 546, 1098, 1652, 2208, 2766?\n\"Answer: j**2 + 549*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -30. Let u(t) = 20*t**2 + t + 1. Let w be u(-1). Suppose -3*n + w = -g*n. Solve 5*z - n = -0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5253*i**2 - 27*i + 79. Is g(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96622.78 weeks in nanoseconds?\nAnswer: 58437457344000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*(0 + (1 + sqrt(1216))*-5) + 3*(sqrt(1216) - (-1 + sqrt(1216) + -2))*-6))**2.\nAnswer: -149760*sqrt(19) + 4401936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**(1\/5)))\/i**(-3\/10))\/(i\/((i*i**(-1\/2)\/i*i)\/i)*i*i*i**(6\/17)))**44 assuming i is positive.\nAnswer: i**(-2508\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.82 + -13.82. Which is the biggest value? (a) -2\/9 (b) 31 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3010 - -3017. Which is bigger: t or 137\/23?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d - 3. Let h = -7 + 2. What is the remainder when 158 is divided by k(h)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 5:28 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(325) + (sqrt(325) - sqrt(325)*-2*-5)**2.\nAnswer: 5*sqrt(13) + 26325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.161 - 7.939. Let h = z - 3.4. What is h rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1. Let u = 0 + -3. Suppose 5*b - 3 = 2. Let s(j) = -114*j + 54*j + 29 - 2*j**2 + 60*j - 24. Determine b*s(r) + u*n(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -7. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*c - 2*c + 36, 10 = 2*c + p. Let r(g) = 2*g + 10. Calculate r(c).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 13*u - 9. Let s(g) = -11*g + 7. What is 2*k(o) + 3*s(o)?\nAnswer: -7*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00089443 rounded to five decimal places?\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j. Let y be x(1). Suppose -143 = -3*q - 4*o, -4*q + 2*o + y + 173 = 0. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/(-700)*(-20)\/36.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -53 (b) -3 (c) -2 (d) 3\/5 (e) -3\/179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24267199 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 18 = -r - 4*o, 4 = -2*r + 2*o. Solve -5 - 3 = -r*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285 a factor of 1161873870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/11)*j)\/(j*j**(-2))*j**(-3\/8)*j**(-2\/5) assuming j is positive.\nAnswer: j**(379\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13141 (base 5) in base 2?\nAnswer: 10000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**5\/20 - u**4\/2 + u**3\/6 - u**2 - 68*u - 32. Let q(o) be the first derivative of d(o). Calculate q(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 0*l + 0*l)*(0 - 2 + 3)*(-44*l - 13*l + 4*l).\nAnswer: 53*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.06774 meters to micrometers.\nAnswer: 24067740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*n + 1. Suppose n = 5*x - c - 5, -8 = -4*x - 4*c. Suppose -5*d + 5*j = -31 - 4, 5*j + 5 = -5*d. Calculate the remainder when d is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + ((-3080)\/152 - -8 - -4). What is the nearest to q in -3, 4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.5 (b) -0.2 (c) -0.1 (d) 0.1 (e) 0.05 (f) 1191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 846447 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -347 - 0.009.\nAnswer: -347.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 17786*n + 337929. Calculate h(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 24. Find the third derivative of -278*l - 18*l**o + 278*l + 8*l**2 wrt l.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 620*y - 10 = 615*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220021020110001 + 12?\nAnswer: 1220021020110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 52*y. Let x(w) be the second derivative of -4*w**3\/3 - 24*w. Let v(p) = 5*m(p) + 32*x(p). Let n(f) = 8*f. Calculate v(n(c)).\nAnswer: 32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.008 + 16. Let d = -0.141 + 0.228. Let s = d + v. Round s to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65154577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -14, 0.6, -9, 35, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9017\/5 + 1804. Let u = -185 + 3693\/20. Let t = 3\/5 + u. Which is the nearest to 2\/3? (a) -1\/8 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6295 + 6155 - 12450 - 2*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.139 - -4.139. Which is the third biggest value? (a) 3\/4 (b) -0.04 (c) j (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2662 + -2662.078. Let d = -0.9 + 1. Are w and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-2) - -15)*((-20)\/(-15))\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40406083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from {b: 1, p: 1, i: 1, z: 1, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(12) + sqrt(72)\/(sqrt(6)*-2)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1703443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 109*f**4\/2 + 13845*f**3\/2 + 472333*f**2\/2 + 2036607*f\/2 + 18605 = 0.\nAnswer: -61, -5, -2\/109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -12. Calculate the remainder when 10 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18709 - 178*s**2 - 306*s**4 + s - s - 18707 - 2*s**3 wrt s?\nAnswer: -7344*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/2328 and 9\/20.\nAnswer: 11640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 16*p**2 + 68*p - 43. Let n be c(6). Solve -3*z + 4*a - 23 = n, -4*z - 5*a + 4 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198941 divided by -4\nAnswer: 198941\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - (sqrt(425) + -1 + sqrt(425) + -5))**2 + 4 + 0 - ((sqrt(425) + 0 + sqrt(425))**2*-5 + 3*(sqrt(425) + 1) + -5).\nAnswer: -75*sqrt(17) + 8967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1317291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1287 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 53, -305, -903, -1735, -2795?\n\"Answer: j**3 - 126*j**2 + 13*j + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -18, 57, 1, -39, 9.\nAnswer: -39, -18, -2, 1, 9, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 91120060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147632 divided by 3841.\nAnswer: 147632\/3841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u + 3*u - 19 + 2*u + 14. Give v(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17347949 and 3086?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/11)\/o)**(-9\/2)*((o*o**(1\/6))\/o)**(11\/5) assuming o is positive.\nAnswer: o**(533\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14467878971 rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaauaaaaaa. What is prob of sequence uaaa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 < 0.04016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 7:43 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250396, 250064, 249732, 249400, 249068?\nAnswer: 248736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38588832?\nAnswer: 2, 3, 59, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (2 - 3)*1. Let n = 1 + i. Solve 3 = 3*h - n*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04295 * 0.9\nAnswer: -0.038655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*j*w**3 + 75*j*w**2*y - 198*j*w*y**2 + 3*j*w*y + j*y + 470*w**3*y**2 + 30*w wrt y.\nAnswer: -396*j*w + 940*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*l + 34, 4*l + 13 = 5. Let c(a) = a**2 + 11*a + 13. List the prime factors of c(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k. Let b(t) = 13851*t. Give b(h(m)).\nAnswer: -27702*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 8. Suppose -2*x = 5*i - 17 - 8, u = -3*x - 5*i + 30. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.934 - -0.144. Let q = -2.790618 - a. Round q to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1243 = -53*h + 82 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3526 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 444, 1324, 2212, 3108, 4012?\n\"Answer: 4*u**2 + 868*u - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h**3 + 3*h**2 - 5*h + 3. Let a(p) be the third derivative of 13*p**6\/120 + p**5\/12 - 3*p**4\/8 + 5*p**3\/6 + 4*p**2. Determine -3*a(m) + 5*i(m).\nAnswer: -4*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 8706895?\nAnswer: -8706894.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 652*l**2 + 1469*l**2 - 3 - 819*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Let c(q) = 15 - 5*q**2 + 2 - 6*q - 3*q + m*q**2. Is c(-10) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**2 - 3*r - 4. Let s be (5\/(-2) + 2)*-3*4. Is a(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-50))\/(8\/10). Let j = 284 + -2560\/9. Let d be (8\/30)\/((-14)\/(-35)). What is the nearest to d in l, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q. Let a(x) be the second derivative of 4*x**3\/3 + 3*x**2\/2 + x. Let t(c) = -c - 1. Let v(w) = -a(w) - 2*t(w). What is 4*j(u) - v(u)?\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 16*r + 209. What is g(-20)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9755.7 - -9743. What is n rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111011011011111 (base 2) to base 8.\nAnswer: -73337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19, -108, -255, -454, -699, -984?\n\"Answer: p**3 - 35*p**2 + 9*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u + 23. Let c be w(-12). Let z be (-4)\/12*(-1 - -1). Suppose 0 = -z*b + 5*b + 60. Is c bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 279.7 - 0.7. Let r = m - 275. Which is the third smallest value? (a) r (b) 1 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/9 + 13\/(-78)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 8:40 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -3*a + 36. Suppose 15*n - a*n = -71522. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 1394, 3378, 6156, 9728, 14094?\nAnswer: 19254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 2:29 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 9:24 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56235905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from zngzsgdggn.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24510, 24935, 25642, 26631, 27902, 29455?\nAnswer: 31290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k + 10*k + 872. Suppose 5*g - k = 1717. List the prime factors of g.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-768)\/14 + 6\/(-42))*(9 - 18941\/2115)\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*1\/(-4)*-2. Let t be (-6)\/24 + (-57)\/12. Is k <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -211 - 110. Let x = z - -304.9. What is x rounded to 0 dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -376397 (b) 8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/11))**(3\/7))**47*(t**(-2\/5)*t*t)**23*t**(-2\/21)\/((t\/(t\/(t*(t**(-5)\/t)\/t)))\/t*t) assuming t is positive.\nAnswer: t**(6442\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (118 - -3) + -5 + -3*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - r + 21 = 0, -4*r + 2 = -2. Put 2\/63, -4, -1, x in increasing order.\nAnswer: -4, -1, 2\/63, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76526.914 - -76610. Let x = n - 83. What is x rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.867167 minutes in hours?\nAnswer: 0.13111945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19870*29055.\nAnswer: -577322850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -6 - 1\/2*b**2 - 4*b = 0. Calculate b.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-4))\/((-1)\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - h - 1. Let s(z) = z**3 + 16*z**2 - 18*z - 13. Let q(w) = 3*a(w) - s(w). Let y be q(-14). Let j = y + 18. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a + 3. Let n(d) = 4*d**2 - d - 1. Suppose 4*w + 8 = 2*p, 0*w + 13 = 4*p - 5*w. Calculate the remainder when h(-3) is divided by n(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -30*g**3 + 991*g**2 - 38*g + 168. Let o be d(33). What is the nearest to -0.1 in o, -10\/13, 5, 2?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 51*m**3 + 17*m**2 + 17. Let z be (-5)\/(60\/(-8))*(-9 + 3). Let l(y) = 13*y**3 + 4*y**2 + 4. What is z*h(k) + 17*l(k)?\nAnswer: 17*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**5\/2 - 1125*u**4\/2 - 54801*u**3 - 604572*u**2 - 2348208*u - 3084480 = 0.\nAnswer: -210, -153, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 119\/87121?\nAnswer: 119\/87121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4534*w + 66. List the prime factors of v(1).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 7*d**4\/24 + 5*d**3\/6 + d**2. Let i(j) = -3*j - 2. Let n(z) = -5*i(z) - 2*s(z). Let o(a) = a**2. Give o(n(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + ((-267)\/(-36) - (-12)\/288*6). Solve a*s**2 - 4\/3*s**4 - 4*s + 0 - 4\/3*s**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3342, 0, 9, -1, 2 in descending order.\nAnswer: 9, 2, 0, -1, -2, -3342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15604 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1358, 10224, 33816, 79346, 154026?\nAnswer: 265068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15979055 is divided by 3791?\nAnswer: 3781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -4 + -2)\/(-1). Let x(b) = b**2 - 3 - 2*b + 0*b - 1. Is x(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 42.48. What is z rounded to 1 dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2177 - 21*r**2 + 2192 - 4369.\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/3 - 69905*w + 209720\/3.\nAnswer: -5*(w - 1)*(w + 41944)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 821*s - 823*s + 10. Suppose 0 = -s*u - 3*m + 248, -5*u = -m + 6*m - 240. Calculate the highest common factor of u and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c = -4 + 67 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4*k + 6 = 0, 1141*p - 1143*p - 2*k = -2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 1.9311?\nAnswer: 13.5177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48105 divided by 1069.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -84*n**2 - 5*n + 2634?\nAnswer: -168*n - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.053153 and 0.15.\nAnswer: 1.203153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2292, 4905, 7518?\nAnswer: 10131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**3 - 15*f - 18*f + 46*f - 2 - 17*f as c + i*f**2 + x*f + h*f**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*g + 3 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209637291?\nAnswer: 3, 2543, 27479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 34 - 99)*(-1 + s + 1) + s + 0*s + 0*s + (-1 + 1 - 2*s)*(-2 + 3 + 1).\nAnswer: -41*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from {r: 7, s: 3, c: 1, a: 5, g: 2, b: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3341664 and 21894?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 101, 111, 121, 131, 141, 151?\n\"Answer: 10*x + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7833*y - 7843. Determine d(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6122 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: b\"What is the xth term of -177, -124, -71, -18, 35, 88?\n\"Answer: 53*x - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2 - 10*g - 12. Let l(p) = 7*p**2 - 9*p - 11. Let b(v) = 5*l(v) - 4*t(v). Let r be b(-2). Let d = r + 21. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -286 divided by 8\nAnswer: -143\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 9:40 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -146, -258, -328, -356, -342, -286, -188?\n\"Answer: 21*c**2 - 175*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 20528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3812, -3880, -3950, -4022, -4096, -4172?\nAnswer: -4250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45414092 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: Let t = 5525 - -9129. Does 34 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**5\/60 + 5*k**4\/12 + 11*k**3\/6 - 2*k**2 - 3. Calculate v(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(28)\/sqrt(4) - sqrt(7)) + (sqrt(7) + -1 + 2)**2.\nAnswer: 2*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3657.\nAnswer: 3, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 2*f. Let q(u) = -174*u**3 + 6*u**2 - 13*u. Give 6*b(y) + q(y).\nAnswer: -174*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is -13384.65 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-5) + (-378)\/(-15). Does 20 divide (40\/u)\/(4\/90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-5))\/((-16)\/(-40)). Suppose 0 - 24 = -i*h. Calculate the smallest common multiple of (5 - 8)\/(-3 + 2) and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*j + 120. What are the prime factors of (-11)\/(j\/832) + 4?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 43*(14 + -1) - (-5)\/5. Suppose 5*m = m + z. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 9*s**5 - 2661640*s**4 + 23362816*s**3 - 66539214*s**2 + 55892727*s + 15969366 = 0.\nAnswer: -2\/9, 3, 295729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22576014.\nAnswer: 2, 3, 439, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p - 5*a - 58 = -18*p, 4*p - 62 = -a. Solve 20*b = p*b + 2*r + 2, 3*b = -r - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 520 and 206700?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u - 1. Let b(t) = -4*t + 1. Let z = -15 + 10. Let a(l) = z*b(l) - 3*v(l). What is a(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-275 - -5)\/(-6))\/((-41)\/(-14) + (-2485)\/994)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 625.735971 minutes?\nAnswer: 0.06207698125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053174.\nAnswer: 2, 3, 191, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1313*h + 16645 + 51066 = -5817 for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250729 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = u - 0*u + 13, -2*u = 2*t + 10. Let w = t + 6. Suppose 0 = w*v - 1172 - 1162. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 <= 2477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 345 + -290. What is the remainder when l is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + (4 - 6) + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1981 + -7921\/4. What is the nearest to -6\/11 in 1\/6, -3, n, 3\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39190 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.631 + 9.631. Which is the biggest value? (a) f (b) 8 (c) -0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1. Let q(c) = 2*c**3 + 10*c**2 + 5. Give -3*d(v) - q(v).\nAnswer: -2*v**3 - 10*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from {x: 2, l: 2, s: 3, z: 3, d: 9, c: 1}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 45 = -5*m, 0 = 5*m - 5*v - 25 - 55. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-425)\/(-34) - (-14945)\/(-1176)\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 400901193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*y**4\/3 + 1232*y**3\/3 - 376*y**2 + 96*y.\nAnswer: -2*y*(y - 4)*(11*y - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/p**(-4))*p))\/(p**(2\/11)*p*p))**30*p\/(p\/(p\/p**2))*(p\/(p**4*p))\/p*(p*p*p\/(p*p**1\/p))**(1\/14) assuming p is positive.\nAnswer: p**(3749\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 3*u**2 - 7*u - 10. Let q be d(-4). Suppose 0 = -j - q*j + a - 21, -a = j + 7. Let f(n) = -n - 10. Calculate f(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486553 + 0.2?\nAnswer: 1486553.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**4 + 41284*j**3 - 426050878*j**2 - 852225612*j - 426133449 = 0.\nAnswer: -1, 20643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4067 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g**2 - 66*g**2 - 40*g**2 - 85*g**2 - g + 13*g**2.\nAnswer: -159*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 461. Calculate the greatest common factor of 60 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -1, -3, 1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -513*j - 35. Let d = -391 + 389. Is r(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2757*d. Let c(j) = -1736*j. Give c(w(h)).\nAnswer: -4786152*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -83, -110, -155, -224, -323?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-9 - 9 - -25) - -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 9*u - 18 = -3*s, s + 2*u = -5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.669936 * 4.\nAnswer: -6.679744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17007.4465 rounded to the nearest integer?\nAnswer: 17007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-1755)\/72)*18\/(-24)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*s - 2073 + 2073 as j*s + f and give j.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 26*h + 59. Let d(a) = 29*a + 67. Let o(l) = -6*d(l) + 7*i(l). What is o(18)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*v + 196*v + 179 + 757 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/2, -12, 0, 5, 0.08?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**37\/l))**5)**(-39) assuming l is positive.\nAnswer: l**6825","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0*q**(8\/3))**(-16))**(-17) assuming q is positive.\nAnswer: q**(2176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 45*u - 11. What is the tens digit of w(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*y)*(-4 + 1 + 5) + 43*y - 72*y + 40*y.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/o**5)\/o**(-3))\/(o**(-1\/4)\/o**(2\/5)) assuming o is positive.\nAnswer: o**(33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19026*v - 9501*v - 9524*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 34*m - 3*m**3 + m**3 + 74*m**2 - 48*m**2. Is 5 a factor of c(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4274298.\nAnswer: 2, 3, 7, 33923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 19. Let o(h) = 2*h + 0*h**2 + s*h - 3 - h**2. Give o(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -11*d + 92. Let n be g(8). Suppose 0 = -5*r + n*t + 5345, -5*r + 5*t = -3081 - 2259. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -491814 or -491846?\nAnswer: -491814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - -1. Suppose 4*l + 40 = 6*l. Let o be (0 - 1)\/((-4)\/l). Solve -2*j = -c + o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -4 - (8 + -1 - (32 + -4))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282053 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-97)\/(-2) - 1\/(-2). Let t(a) = 2*a + 1. Let s be 10\/4*(252\/(-35))\/(-6). Let o be t(s). What is the highest common factor of g and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -k + 120, 3*k + 0*a = a + 308. Let l = k - -220. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knezenllm. Give prob of sequence eznn.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 12:54 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 0*a + 1\/3*a**3 - 2 + 0*a**2 + 1\/120*a**5 - 1\/24*a**4. Let u(n) be the third derivative of t(n). Differentiate u(d) wrt d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + 10388?\nAnswer: 10413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**2 + 136*s + 8*s**4 - 2 - 2*s**3 + 14*s - 146*s to the form f*s**2 + h*s**3 + w*s + i*s**4 + j and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (105006\/1419 + 3*-1)*(-6)\/(-3)?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i - 221. Let n(d) = 15*d + 441. Determine -13*k(l) - 6*n(l).\nAnswer: l + 227","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 0.31 in decreasing order.\nAnswer: 0.31, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 17*g**6 - 3*g**3 + 2*g**2 + 3*g. Let o(t) = -50*t**6 + 8*t**3 - 6*t**2 - 8*t. Let c(x) = 3*o(x) + 8*q(x). Find the third derivative of c(v) wrt v.\nAnswer: -1680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)\/o**(2\/9))**(1\/32)*o**(-1)\/o**(-4)*o\/o**(-1\/2)*o**(-3) assuming o is positive.\nAnswer: o**(367\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/9*(-4 + 0). Which is the second smallest value? (a) z (b) -0.4 (c) 0.3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9546 and 681078462.\nAnswer: 9546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -14396829, -4 in decreasing order.\nAnswer: -4, -17, -14396829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 20*p**2 + 6*p + 122. Let n be i(-20). Let m(r) = -r**2 + 7*r + 7. Let t be m(8). Sort t, n, 4, 5 in decreasing order.\nAnswer: 5, 4, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 377 - 375. Factor 16*j + 12*j**5 - 80*j**2 + 16 + 0*j**4 + 4*j**4 + 0*j**4 - 44*j**3 + 44*j**x.\nAnswer: 4*(j - 2)*(j + 1)**3*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-91)*(-1050)\/225?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by -60.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2303 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 702 = -31*r - 70*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 210358.447746 from -0.2.\nAnswer: -210358.647746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = -4*m + 4832. List the prime factors of m.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*14\/(-12))\/(20\/(-300)*15)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 48 - (-3 + (-27 + 8 - -24)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 882789247?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1770 and 327?\nAnswer: 192930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*g + 10, -3*g - 12 = -7*g. Suppose 0 = q*a - a - o + 5, 4*a - 2*o + 6 = 0. Let d be (11\/a - -3)*-6. Solve 2*l - d = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/3*(0 - (-48)\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38678.09 + 38500. What is o rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-220752)\/(-40) + (-2 - 55\/(-25)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*z + 6 - 25, -3*d + 11 = 2*z. Suppose -d*t = -t - 72. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - 2.2. Let z = 2.91 + d. Let h = z - -0.0858. Round h to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + d = -9, -3*d = c - 5*c - 23. Is -11 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gegp when four letters picked without replacement from dgddepgpgggdedpepepg?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i + 7. Suppose 0 = -13*o + 12*o. Let m be -5 - (-1 + -1) - o. Let k be r(m). Round k to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -80.62?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -17*n**3 + 5*n - 5. Let l(a) = -123 + 9*a**3 + 126 + 0*a - 3*a + 0*a. Let c = 824 - 821. Calculate c*s(o) + 5*l(o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from xuqlxkyq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n**2 - 5*n + 1. Let f be -8 - -6 - 4 - -9 - 1. Give d(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -283 + 315. Calculate the highest common factor of d and 448.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(45\/(-6))*5*(-2)\/140?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 870198 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -325?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, a: 10, n: 3}. What is prob of sequence nun?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1053*j + 2643*j = 873*j - 22584 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/11 - 127652*c\/11 + 510640\/11 = 0. Calculate c.\nAnswer: -63830, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 13*k - 39. Let z(v) = -2*v + 1. What is -2*h(y) - 14*z(y)?\nAnswer: 2*y + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12242*q**6 - 2*q**5 + 2*q**3 - 245*q**2 + 3*q - 46.\nAnswer: -1469040*q**3 - 120*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 22*z**5\/5 - 32*z**3\/3 + 17. What is the third derivative of w(d) wrt d?\nAnswer: 528*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 4*r = 45, -1246*w = -1242*w + 3*r - 36 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146 + -243. Let z = -240 - v. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2022 and 1152?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 146116000 rounded to the nearest one million?\nAnswer: 146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23 from -232065990069.\nAnswer: -232065990046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012012012001022 + 2102?\nAnswer: -1012012011221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 4:35 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14502930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 + -0.9. Let j be 1 - ((-4)\/(-10) - -1). Let i = 0.2 - 0.3. What is the nearest to c in -0.5, j, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1088, 2356, 3622, 4886, 6148?\nAnswer: 7408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h**3 - 5*h**2 - 31*h + 12249 wrt h.\nAnswer: 9*h**2 - 10*h - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -879 + 58*a + 879. Let f(n) = 7*n**2. What is u(f(p))?\nAnswer: 406*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 3. Let i(g) = 21*g**2 + g. Let z be i(u). Suppose -4*a - v + z = 0, 2*a + 2*a - 20 = v. Solve -a*k = -0*k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66 - -20) + -46 + 19.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 minus -1.344033?\nAnswer: 1.384033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1143 - -1142.99999542. What is m rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bd - 5f?\nAnswer: -11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 882*r - 3*p = 888*r - 15, -2*r = 2*p - 8. What is the third smallest value in r, 1655, 0.2?\nAnswer: 1655","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 146*r. Let j(q) = -22*q + 3. Calculate j(s(u)).\nAnswer: -3212*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*w - 17369996, 2*w + 2226939 = 4*x + 13806931. Suppose 0 = -4*j - 0*j + 2*q + 23160000, 0 = -j + 5*q + w. Round j to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4401)\/79218 - 161\/18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 5*p + 4. Let a(h) = h**2 - 4*h + 3. Let o(y) = 5*a(y) - 4*d(y). Let o(w) = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110888488, -4, -2 in descending order.\nAnswer: -2, -4, -110888488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 9:15 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five halves of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 62. Let i(h) = h**2 - 16*h + 88. What is the remainder when x(0) is divided by i(5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-1 - (1 - 4)). Let n = -60 + 62. Let o(g) = -w*g**n + 3*g**2 - g**2. Let l(p) = -7*p. What is l(o(f))?\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -2643.\nAnswer: -528.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-10 + -2 + 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**4\/12 + 11*x**3\/6 + 4*x**2 + x. Let q be j(11). Let k = 17 - q. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(75) + (sqrt(75) - (-1*sqrt(75))**2)).\nAnswer: -20*sqrt(3) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*c - 1452, -2744 = 5*g - 3*c - 305. Let r = g - -875. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -1.0064191\nAnswer: -8.0064191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2, 32\/3, -0.4?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1530760 and 465760.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3683270 divided by -736654?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 - -48 - -19 - (-28 + -3 + 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**5\/60 + 11*z**4\/24 + 17*z**3\/6 + 4*z**2. Let o be m(12). Let d = o - -2. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 71*a. Let t(m) = 3*m**2 + 99*m + 295. What is the remainder when h(1) is divided by t(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13699716 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*z + 2 = 1, -4*z - 29 = -5*s. Suppose o - s*o - 108 = 0. Find the common denominator of ((-14)\/96)\/((-9)\/o) and 29\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-14)*(-35)\/(-15). What is the nearest to y in 5, 20, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17\/52 - -1\/13. Let a = 8 - 8.4. Which is smaller: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52.10821 - 0.10821. Let d = -0.19 + 48.19. Let i = d - x. Is i at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78393 + 153323 + 3*i - 74930.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 428 and 427 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.2 (b) 4 (c) -2\/9 (d) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339 = -247*r + 1789 + 2318 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 86\/(-215) - 3\/2*112\/(-210). Which is the biggest value? (a) -577\/2 (b) -4 (c) 0.2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/4 + 249*g**3.\nAnswer: 3*g**3*(g + 332)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015797233 to 5 decimal places.\nAnswer: -0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 16) in base 5?\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 3*h + 18, 3*p - 4*h - 2 = 32 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 2*h**2 + 4*h - 3. Let o be v(2). Let d = -21 + 24. Suppose 0 = -2*u + d*u. Which is the closest to u? (a) -0.4 (b) 0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2, -171, -1 in decreasing order.\nAnswer: -1, -2, -15, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100254 + 44202.345.\nAnswer: 144456.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/17 (b) -4\/717 (c) 1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11296 - 11292. Solve c*y = -20, -3*g - 4*y - 8 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 8) in base 13?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238438 is divided by 583?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 3. Let h be 5\/(o\/16) + 3. Let s(y) = 14*y**2 + 11*y + 11. Let j(n) = -5*n**2 - 4*n - 4. Calculate h*j(k) + 4*s(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2317.\nAnswer: 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447415 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 + -2 + (-11 - -23))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(1*sqrt(11)*-3 + sqrt(11)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*p = 77*p - 4832. Is p a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133.533 - 134. Let c = t + 0.047. What is c rounded to 2 dps?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11898 by 1.\nAnswer: -11898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 2*x = -312. Suppose 6*v - 66 - x = 0. Calculate the remainder when 47 is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021111 - 12?\nAnswer: 10021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/4, 0.3, -0.17, 11 in decreasing order.\nAnswer: 11, 0.3, 1\/4, -0.17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 30?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61111\/817 - -1434\/19. Let b = s - 2789\/1075. Let l = 1971\/50 + b. Calculate the common denominator of 53\/38 and l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -126*q + 133. Let d be n(1). Let c(l) = 7*l**3 - 8*l**2 + l - 1. Let x(u) = 6*u**3 - 8*u**2 + 2*u. Let r(a) = 5*c(a) - 6*x(a). What is r(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47285762.\nAnswer: 2, 353, 66977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51141?\nAnswer: 3, 17047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 9837644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -9*o - 1. Suppose -6*t + 756 = -384. Let q(r) = -188*r**2 + 379*r**2 - t*r**2. Give u(q(k)).\nAnswer: -9*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1264 and 1422?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(sqrt(378) + (sqrt(378) - -2*sqrt(378))) - sqrt(378))\/sqrt(6))\/(sqrt(36)\/(sqrt(32)\/(2*sqrt(8) + sqrt(8)))))**2.\nAnswer: 175\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 - 4*o + 3*o**2 + 16 + 2*o - 21 - 5*o**2 in the form a*o + y*o**4 + m*o**2 + d*o**3 + z and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 254 (b) -2\/5 (c) -2 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77848?\nAnswer: 2, 37, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, k: 4, d: 1, g: 4, s: 2}. What is prob of picking 1 d and 3 k?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*h = -7*c + 4, -5*h = 10. Suppose 2*x + 2*y = 8, 0 = -c*x + 4*y - 1 + 3. Solve 5*u + 18 = -3*i, 0 = -5*i + x*u - 2 + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**3 + 11*b**2 - 3*b + 8. Let u be y(-4). Determine w, given that -w**2 - w**3 + 1\/2*w**u + 1\/2*w**5 + 1\/2 + 1\/2*w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -13.91. Let h = 49 + -49.29. Let x = l - h. Is 0 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-64)\/(-28) + (2865\/(-105) - -18))*7.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 3*g. Suppose g*u + u - 2 = 0. Factor -m**u + 2*m**2 + m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -18*o**3 - 6*o**2 - 50*o - 338. Is a(-8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 3\/7 (c) -2\/7 (d) 34 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 53 = 152. Suppose 4*d = 2*j + 258, -4*j + 7*j + 123 = 2*d. Let s = d + p. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 0*n + 0*n - 3*n + 667 - 721. Calculate the remainder when 52 is divided by r(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(19) - sqrt(57)\/sqrt(3)) + (sqrt(931)*-2)**2 - (-3 + (sqrt(2299) - ((2*sqrt(2299))**2 + sqrt(2299)))).\nAnswer: 12923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 3534.\nAnswer: 3534.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 49. Solve -b + 3*f = 2 - 3, -3*b + f + i = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c - 25*c + 907*c**2 + 56*c + 1922*c**2.\nAnswer: 2829*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7129, 28512, 64173, 114112, 178329, 256824?\nAnswer: 349597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -138*c + 1074. Let v be a(9). Is -170 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219542342.\nAnswer: 2, 109771171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s**2 - 437*s - 4982. What is j(-18)?\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19583712?\nAnswer: 2, 3, 53, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.2 + -3. Let w = -0.011 - 1.989. Let o = -4.93 - 0.07. Which is the biggest value? (a) w (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**6\/2160 + j**5\/144 + j**4\/24 - 19*j**3\/3 + 41*j. Let p(x) be the second derivative of d(x). Let p(a) = 0. Calculate a.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -172 and 5?\nAnswer: -860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 5582*q + 577*q - 7 + (3*q - q - 3*q)*(1 + 3 - 3) to the form n + m*q and give m.\nAnswer: -5006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 1\/6, -0.0217, 0.03, 1\/9, 0.3?\nAnswer: -0.0217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*s = -44 - 122 - 116 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -15*l - 6. Let n be h(-6). Suppose -15 = 3*p - n. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 3 + 3)*(-3*q - 5*q + q) - 1 + 1 + 2*q**2 in the form c + u*q**2 + z*q and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q**3 + 177 + q**4 + 10*q**3 + q**2 - 133 - q + 2*q**3 - 2*q**2 to t*q**3 + p*q**2 + v*q**4 + s*q + w and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11120242603 from -0.03.\nAnswer: 11120242602.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3) + (-11)\/((-5313)\/(-575)). Sort i, -2, 0, 44\/5, -1 in decreasing order.\nAnswer: 44\/5, i, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 m when four letters picked without replacement from momomommoo?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from {x: 4, k: 8, m: 3, f: 2, a: 2}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -182242, -182240, -182238, -182236?\n\"Answer: 2*g - 182244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104650*x**3 - 767*x**2 + 588112148*x.\nAnswer: 627900*x - 1534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1230964 or -1230954?\nAnswer: -1230964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -199\/22749, -3 in increasing order.\nAnswer: -3, -199\/22749, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 6. Let x = 24.7 + -26. Let t = x - -1. Which is the closest to 1\/4? (a) 0.5 (b) t (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 1. Let b be y(6). Suppose -b*f + 4*m = -119, -2*f - 71 = -5*f + 2*m. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**3\/6 + 9*f**2\/2 + 3*f. Let m be t(-4). Is m at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + q - 4473 = 0. Is 31 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12840700 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i + 11. Let c be d(-2). Let s(t) = 35*t**2 - 4*t - 3. Is s(c) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 - (6 + -36 - (-3 - (21 + -6)))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*h - 55*h - 11*h - 9*h to u*h + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 + 359 - 126 - 371*u + 479*u - 118.\nAnswer: 108*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12999 + 12999 - 165*n)*(15*n + 234 - 3*n**2 - 234).\nAnswer: 495*n**3 - 2475*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microsecond in nanoseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.403 less than -0.2?\nAnswer: -170.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 4*o + 4. Let q be u(-4). Suppose q*t - 3*t = -2, m + 2*t - 35 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/2 - 2159067*z**2\/2.\nAnswer: -3*z**2*(z + 719689)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 4*p - 6. Let w be t(5). Let d(r) = r**2 + 5 + 0 - 2 + 11*r. Let h be d(w). Solve -l - 4*v = -12, v + h*v - 8 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17583, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - t + 1. Let f be u(1). Let n = 7 + -3. Suppose n*w - 3 = 13. Which is the third smallest value? (a) f (b) w (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21103 (base 4) to base 14.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 20*l - 6. Let s be q(2). Suppose 2*r - 2*p - 2*p + 4 = 0, 5*p - 26 = -r. Let n = r + 79. Calculate the highest common factor of n and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 4, 71 in descending order.\nAnswer: 71, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((35\/21)\/5)\/(((-12)\/(-4))\/99).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 366251610*s - 209491172.\nAnswer: 366251610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330893*t + 331016*t = 13899 for t.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*q - 5*a, -2*a - 3 = -6*q + 3*q. Let m = -28 - -30. Suppose 3*n + 3*s + q = -m*n, 0 = 3*n + 5*s + 5. Round n to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1130024 + 10?\nAnswer: -1130014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*g**2 + 2 - 41*g**2 - 2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (57*o + 60*o - 4*o)*(-51*o - o - 23*o - 4*o + 0*o) as i + j*o + d*o**2 and give d.\nAnswer: -8927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 1527*k = 1524*k + 4, -16*k + 17*k + 12 + 24 = 5*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbibzbxxxbzbbbbhb. Give prob of picking 1 b and 1 x.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 8*f + 2. Let y be u(6). What is the highest common factor of y and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 445*d + 237 - 1500 - 72 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 354936673 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1.203, -2\/11, 2\/7, -58\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5009726 divided by -2\nAnswer: -2504863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**5 + 60*s**4 - 171549*s**3 - 64409*s**2 - 5*s + 4 wrt s.\nAnswer: 60*s**2 + 1440*s - 1029294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**3*i*n**2 - 22*h**3*i*n - 6*h**2*i - 2*h - i*n**2 + 5*i*n wrt h?\nAnswer: -6*i*n**2 - 132*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -1.6 (b) 4\/5 (c) -0.0167 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)\/i*i)**(-49\/2))**(12\/7) assuming i is positive.\nAnswer: i**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3870 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270 and 39270?\nAnswer: 353430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - i - 22 + 3*i**3 + 2*i - 3*i**2 to the form d*i**3 + h*i**2 + j*i + l and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-25)\/(50\/12) - 240\/(-12)*6\/18. Suppose 13\/2*a**2 + 9*a + 11\/6 - p*a**3 = 0. What is a?\nAnswer: -1, -1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21472237 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjxx when four letters picked without replacement from xxxj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46.3 at most 0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 3*g + 3. Give x(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 155150353 + 1?\nAnswer: 155150354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -59*f - 1. Determine h(-1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -24*j + 631260. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -953*f + 772*f - 7783 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -35228.9 and -368.5.\nAnswer: -35597.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2630)\/2367*6\/(-10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 = 0, 4*a - 3*c - 7 = 5*a. Solve o - 11*l = -15*l + a, -5*o + 5*l - 25 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 118 = 92. Suppose -b*k - 30 = -17*k. Let q(l) = -l**3 - l**2 + 3*l + 1. What is q(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-5 - -9 - 286*-8). Suppose 0 = -d - 4*j + 258 + 491, -3*j + w = 3*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**4\/7 - 18*w**3\/7 + 30*w**2\/7 - 2*w = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 14*c**2 + 24*c - 10. Let a(b) = 2*b**3 - 29*b**2 + 48*b - 21. Let h(l) = -2*a(l) + 5*m(l). Is h(10) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)\/w)**(-39))**0\/((w**(-1\/4))**(-4\/11)\/((w**4*w*w)\/(w*w**(-5)\/w*w*w))) assuming w is positive.\nAnswer: w**(98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 249 and 3068012.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*r = -40, 0*f = 3*f + 4*r - 38. Suppose -f*h - 12 = -9*h. Let a(n) = h*n**2 - 2*n**3 - 4 + 9 + 3*n**3 + 0*n**3. Give a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w - 57*w - 29*w - 55*w - 26*w.\nAnswer: -190*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.78 times 0.0458?\nAnswer: -0.081524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*i**3 - 2*h*i**2 + 154*i**3 wrt h.\nAnswer: 2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.29 + -30.81. Let q = -36 - c. What is the nearest to q in 2\/9, 4, -2\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1196327.\nAnswer: 11, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 126252253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10137, 5.\nAnswer: 1, 5, 10137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -2*r - 16, 3*r = k - 42 + 35 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11b + ba9?\nAnswer: cc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**4\/16 + 47*q**3\/12 - 56. Solve v(k) = 0.\nAnswer: -47, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1394 + 38*f - 1394.\nAnswer: 38*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -126, -202?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 531 and 17214.\nAnswer: 3046878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263120 is divided by 13787?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -217\/4. What is the closest to -1\/3 in v, 3\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -5, 1 in increasing order.\nAnswer: -37, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than -3277123862863.8?\nAnswer: -3277123862870.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 932 - 0.024.\nAnswer: 931.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 38. Let i be 40\/((-21)\/147 - 15\/(-7)). Is y(i) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572*n**2 + 34151789982*n - 34151789982*n.\nAnswer: -572*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g + 4*f = -220, 2*g = -5*f + 116. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*j + 2472408, -1542590 = -2*j - d - 306394. Round j to the nearest ten thousand.\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q. Let k be g(-2). Suppose 5*p = 4*a - 39, a - 3*p = -k*p + 14. Let h = a - 8. Let y(s) = s**2 - 7*s + 3. Determine y(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) - 17\/(-33). Let l = 24 - 26. Which is the second biggest value? (a) l (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.3 + 16. Put r, -0.4, 0.2, 1 in increasing order.\nAnswer: -0.4, r, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25772 = 76*l - 93*l. Is l a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 12, 5*g - 14981 = 3*t + 14486. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + -1 + -5 - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000098911019 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -278\/7, -12, -5, -1\/3, 0, 1\/8 in increasing order.\nAnswer: -278\/7, -12, -5, -1\/3, 0, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 9*o**2 - 9*o + 9. Suppose -4*s + s + 2 = -2*z, 3*z = -3. Let x be (-21)\/(-9)*(s - -3). List the prime factors of r(x).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 394, 393, 398, 409, 426, 449?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 0.57. Let v = 0.07 - x. Let n be (-21)\/(-35)*(-60)\/(-66). Which is the second smallest value? (a) n (b) v (c) 2\/21 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -42. Suppose 0*b + 2*b - 402 = o. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43710, 43733, 43758, 43785?\nAnswer: 43814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -8. Suppose -5 + 13 = -t*v. Let l = v + 15. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3168179 - 2147879. Round d to the nearest 10000.\nAnswer: 1020000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14506204643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.391099 litres to millilitres.\nAnswer: 5391.099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 5. Let k be o(10). Suppose 400 = 2*y - 3*l, -3*l + 958 = -0*y + k*y. List the prime factors of y.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/11523 and -89\/900.\nAnswer: 3456900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpotitl. Give prob of picking 1 l and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 44*p + 1756. Let z(d) = 53*d + 1756. Let i(o) = 6*h(o) - 5*z(o). Let a(m) = 2*m. Determine a(i(r)).\nAnswer: -2*r + 3512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -13 + (5 - 1 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l + 8. Let m be g(-4). Sort 1, -1, m in ascending order.\nAnswer: -1, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 693136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnvj when four letters picked without replacement from cvjnvc?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012228 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4111 (base 6) in base 13?\nAnswer: -54a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 7}. Give prob of picking 1 m and 1 x.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 652363, 652177, 651991, 651805?\nAnswer: 651619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-30) + (-14)\/60. Which is the third smallest value? (a) -17 (b) 1\/2 (c) 0.4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(15\/12) - 3. Suppose 4*j - h = 19. Let f(w) = w + 1. What is f(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 46046*j - 1848. Let f(l) = -25*l + 1. Let m(k) = 9240*f(k) + 5*h(k). Let n(x) = -14*x. Determine n(m(d)).\nAnswer: 10780*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luuulluoxtxlutulx. What is prob of sequence txx?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u*(u\/(u\/(u*u**(-10\/11))))\/u)\/u*u*u*u*u\/((u*(u\/u**9)\/u)\/u) assuming u is positive.\nAnswer: u**(144\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -14*y**2 - 65*y + 3. Let t(k) = 2*k**2 - k - 2. What is n(a) + 2*t(a)?\nAnswer: -10*a**2 - 67*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6630.\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/(-123))\/(2\/24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b + 5. Let g(v) = 26 - 6*v + 5*v + 2*v - 2*v. Let k be g(22). Give y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - c - 1. Suppose 4*i - 8*i = -8. Suppose -i + 10 = 4*q. Determine o(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.21 + 11.21. Let z = 11.1 - y. What is the nearest to z in -1\/6, 2, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43194 divided by 7199?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 162 + 226 = 0. Let l = 205 - k. Let j be (-1 - (-124)\/10) + (-12)\/(-20). What is the greatest common divisor of l and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*(60\/24)\/5. Let f(y) be the second derivative of 0*y**k + 6*y + 0 + 1\/5*y**6 - 4*y**2 + 0*y**3 + 0*y**4. Find the first derivative of f(l) wrt l.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 151723*n**2 - 910348*n + 68. Calculate y(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/40 + 26\/8. Suppose 8 + 5 = -4*b - 5*n, -i*b = n - 4. Let o be (-38)\/(-3) - (-2)\/(-3). Solve -o = -6*g + b*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*d + 9140, j - 2*d - 2787 - 265 = 0. Suppose -5*p + 13*p = j. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83052 times 5\nAnswer: -415260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 668842000 to the nearest one million.\nAnswer: 669000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 37. Suppose -3*b = b - x. Solve 5*t + b = 2*n - 4, -4*t + 2*n = 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3003424223 (base 5) in base 10?\nAnswer: -5920563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 0*d**2 - d**2)*(0*d + 0*d - d)*(-4 - 5 - 1).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 310230.\nAnswer: 3412530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220 - -2022000211?\nAnswer: 2022002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 4 = 2*v, -587*l + 3*v - 6 = -590*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 10*f**2 + 5*f - 2. Let p = -167\/72 - 1\/18. What is the common denominator of p and n(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1255468 is divided by 52.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 165?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 592, 1226, 1890, 2584, 3308, 4062, 4846?\n\"Answer: 15*t**2 + 589*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/8)*n\/(n\/(n\/n**(1\/26)*n))*n*(n**(-5\/6)\/n)\/(n*n**(-23)))**17 assuming n is positive.\nAnswer: n**(123335\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(136)\/(-4*sqrt(200)))**2 - (sqrt(17) + sqrt(2057) + sqrt(2057)*4 - (sqrt(153)*6)\/sqrt(9))**2) + 2.\nAnswer: -16997583\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 + 93. Let t(z) = 0*z - z**2 + 5 - s - 12*z + 4*z. What is the remainder when 12 is divided by t(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 28 + 108 = 0. Suppose 5 = -5*o + 50. Calculate the remainder when t is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*8*5\/10. Suppose 9*t - t = h. Suppose 0 = -3*v + t*p + 147, -v + 2*p + 2*p + 59 = 0. List the prime factors of v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -174, -171, -144, -87, 6, 141?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - p**2 + p. Let m(v) = -3*v**3 - 10*v**2 + 12*v - 9. Let i(d) = -4*f(d) - m(d). Calculate the remainder when i(12) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.3? (a) -4 (b) -2 (c) -5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, 0.4, 3, 2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11\/3*u**4 + 14\/3*u**2 - 5*u**3 + 0*u + 0 = 0. What is u?\nAnswer: -2, 0, 7\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v. Let y(k) = -14*k + 5. Let n(w) = -42*w + 16. Let d(l) = -5*n(l) + 16*y(l). Determine u(d(o)).\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from hhhhetlhelclhlpp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 0.4 (c) -0.0972\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -5\/18, 3?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 6*f**2 + 2*f + 5. What is l(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -1886 in descending order.\nAnswer: 3, 1, -1886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*u - 492*u = 5882 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*p - 15*p + 11*p. Put p, -1, -2, 2 in increasing order.\nAnswer: -2, -1, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 440 - 246. Calculate the common denominator of 50 and (z\/(-15))\/((-4)\/(-3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 246 - 4*p - 49 + 91 to the form x + r*p and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1740)\/675)\/29)\/((-4)\/18)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/7 + 18541659*x**2\/7 + 37083327*x\/7 + 18541665\/7.\nAnswer: -3*(x - 6180555)*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 10*c**2 + 1539*c + 38926. Calculate n(-122).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*b + 1, d = -4*b - 2. Suppose d = -2*v + 3*v. Solve -v*x + 7*x = -25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrrjrrrrrrr. Give prob of picking 2 r.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-99)*-2*12*447\/(-298).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29956830989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515655*v - 1634767*v - 1696290*v + 336940*v.\nAnswer: -3509772*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9637 times -41?\nAnswer: -395117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141204 (base 5) to base 6.\nAnswer: -42512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 288?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282207517?\nAnswer: 282207517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -185 (base 9) to base 4\nAnswer: -2132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11143 (base 11) to base 5.\nAnswer: -1004030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1794717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/49)\/10*-2?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - 41 - -13*(-1)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1467)\/2934)\/(((-1)\/26)\/(-1))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a + a + 395 - 397 - 4*a - 5*a + 5*a + a + a + 0*a + (-2 - 2 + 3)*(a + a - a) to w*a + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3518 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 39665 + 39665.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -461902 + 1051902. What is c rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 319058 = 3*b, -706*b + 239274 = 3*z - 707*b. List the prime factors of z.\nAnswer: 2, 5, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w**3 + 5. Let u(a) = -28*a**3 - 15. Give 7*o(m) + 2*u(m).\nAnswer: 7*m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/(-6))\/(9\/27*4)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6918 - -1.3082. Let w = 1.2 + -1. Which is the biggest value? (a) -3 (b) x (c) w (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*r + 11, k - 3*r = -2*r + 5. Solve 5*y + 25 = 0, -3*w + k*y - 3 = -8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329 divided by 5.\nAnswer: 329\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, and 2 c when four letters picked without replacement from ssspcpspcsspps.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - -9. Calculate the remainder when m is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10110?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 185.994354 to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31580 plus -5385?\nAnswer: -36965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 13 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.52 - 7.53. Let q = -25 - l. Which is the third biggest value? (a) -6\/5 (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 13012, 0.06.\nAnswer: 0.06, 0.4, 13012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.036, -2, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5580 and 41390208?\nAnswer: 206951040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41370*a**5 + a - 683 wrt a.\nAnswer: 827400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (1 - 1\/(-1)). Let d be m - 12\/3 - -6. Let p(z) = -z**2 - 2*z + 2. Calculate p(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-1.9\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7118904 a multiple of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 40 + 49 - 91 - y. Let o be g(-2). Solve 0*x - 5*x - 10 = o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -20*r + 102. Let k be f(5). Suppose 5*z + 4*w = k + 27, -4*w + 14 = 2*z. Solve -2*o + 15 = z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -3\/8, -6.2 in descending order.\nAnswer: 5, -3\/8, -5, -6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1379 - 2014. Let s = f + 640. What is the second smallest value in 0.068, -0.3, s?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 158, 708, 1258, 1808, 2358, 2908?\n\"Answer: 550*w - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.95 + 0.05. Let d be 2\/4*((-5)\/2 + 2). Let f = -0.8 + 0.3. Which is the third smallest value? (a) f (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 1:41 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 136 + 45*o - 3*o**3 - 43681*o**2 - 28 + 43675*o**2.\nAnswer: -3*(o - 4)*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35 - -35) + 1 + 1487 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -230 or -12\/7?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 3. Let f be m(-5). Suppose -f + 1 = -n. Let u be -2 + (12\/(-70))\/(28\/(-70))*7. What is the highest common factor of u and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*(sqrt(72)*4 + -5 - ((sqrt(72) - sqrt(72)*4) + -4))*3 + -5)**2.\nAnswer: -2520*sqrt(2) + 127033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**2\/3 - 32954*k\/3 + 2197 = 0.\nAnswer: -6591, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5680 and 219888.\nAnswer: 78060240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 1\/4, 4, 1, 34, -48.38?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.35 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 945 and 281880.\nAnswer: 1973160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j. Let y = 1 - -35. Suppose -2*b - 4*b - y = 0. Let l(t) = -t. Let v(q) = 32*q**2 + 6*q. Let c(g) = b*l(g) - v(g). Give k(c(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-7 + 2) - (-1 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from kuxkxukulkxxj?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00137852507 to six decimal places.\nAnswer: -0.001379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 551, -2, -0.35, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 184584271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2197, 4266, 6317, 8350?\nAnswer: 10365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 5:31 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59695913.\nAnswer: 139, 429467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 43. Let z be 2 + 3\/(f\/(-4)). Suppose 5*u = -u - z*u. Solve u = -3*g - 5*t + 9, g + 3*t - 5 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 101273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11389 or -11388?\nAnswer: -11389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -25. Which is the closest to 3\/2? (a) j (b) 0.2 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Suppose j + j = -g*d + 9899992, -4*d = -3*j - 13200012. Suppose 0 = -p - 4*w + d, p + 3*w = -2*p + 9900000. Round p to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (17 + 2 - -2) + 0.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 923010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2569262823198\nAnswer: -2569262823197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 11:02 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104 or -3?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88355 and 205.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (59 - 0) + ((-4 - 5) + 3 - 4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.622078 - -656188.622078. Let d = -655551.597 + r. Let q = 637 - d. Round q to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3760, 2686, 904, -1580, -4760, -8630, -13184?\nAnswer: -18416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -968924, -3, 9 in descending order.\nAnswer: 9, -3, -968924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121077882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 29 - 34 - 63*-1. What is the greatest common divisor of y and 522?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 119*b - 37*b**3 - 120*b - 3 in the form v*b + w*b**2 + m + d*b**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 6. Let s be q(-10). Suppose 4*y = -3*l - 4, -2*l + 2 = -2*y - l. What is the units digit of y*2\/s*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 u when four letters picked without replacement from {a: 2, i: 4, v: 2, u: 5}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80510 and 1164?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 7, l: 1}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 80\/15 + 2\/(-6). Let k(q) = -2*q**2 - 3. Let r(g) = -1. Let n(y) = s*r(y) - k(y). Factor n(h).\nAnswer: 2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132719 by -3587.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.98113 decades to millennia.\nAnswer: 0.3998113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34259652 to the power of 1\/2, to the nearest integer?\nAnswer: 5853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106738472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26401578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, -7, -29, -61, -103, -155?\n\"Answer: -5*a**2 + 3*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1233 - -1232.9. What is the nearest to p in 3, 2\/17, -10, 2\/3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 473, 942, 1411, 1880?\n\"Answer: 469*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -68, -3860 in decreasing order.\nAnswer: 2, -68, -3860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -5 (c) 0.3 (d) -89 (e) 0.021\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -20*j**3 + 14*j**2 - 14*j - 14. Let z(r) = -4*r**3 + 3*r**2 - 3*r - 3. Let f be (5 - 2)\/(-13 + 14). Determine f*a(w) - 14*z(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**3 + q**4 - 4*q**3 + q**2 - q**2 + 3*q**4 + (q**3 + q**3 + q**3)*(-9*q + 7*q - q) to z + w*q**2 + g*q**4 + p*q**3 + r*q and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 + -56. Let m = 2 - 0. Suppose -28*y + 298 = -402. Solve 3*r - 5*o + y = -r, m*r = 3*o - s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, c: 1, l: 1, o: 6, t: 2}. Give prob of sequence zlc.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.285 plus 3057.19978?\nAnswer: 3056.91478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 1. Let r(d) = 3*d - 3. Calculate 5*l(h) - r(h).\nAnswer: -8*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m + 28. Let n(l) = -l**3 + 25*l**2 + 25*l + 30. Let o be n(26). Let b be s(o). Solve 0*x - 5*c = 5*x + 40, 4*c + b = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/48*-4*306 + 3. Let g = 177 - n. What is the least common multiple of 12 and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 8:32 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 396\/81*2403\/(-4272)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2933629 is divided by 2026?\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/((x\/(((x\/(x**(-4\/11)*x*x)*x)\/x)\/x))\/x))\/x*x)\/(x\/x**(-2\/19)))**49\/((x**(-1\/5)\/x**3)\/((x**(-6)\/x)\/x**1)) assuming x is positive.\nAnswer: x**(-42991\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 + -133. Let d = -32.175 + 0.175. Let s = y - d. Which is smaller: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 7 - 6 - -8) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.672308 to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43659 and 38317752?\nAnswer: 5632709544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x = -26*x + 12. Find the common denominator of -113\/10 and (69\/(-1472))\/(x\/(-22)).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3223210 - 3?\nAnswer: -3223213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -14*t + 56. Does 5 divide g(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*t + 34254, 2*t + 8560 = p - t. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3947256.76 to the nearest one hundred thousand.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + 2 + 0 - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 4*i**3 - 8 + (45*i - 22*i - 22*i)*(3*i**2 - 6*i**2 - 7*i**2) + i**3 - 2*i**3 - i**3 in the form c*i**2 + a*i**3 + u*i + o and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-6)*(-217)\/1085)\/((-7)\/((-616)\/4))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*w = 31. Let o = 74 + w. What are the prime factors of o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126046*x - 7003 + 3510 + 3493.\nAnswer: 126046*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = -5. Let l be (-12)\/(-1 + c + -2). Is 4\/l - (-220)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/2)*y*y\/(y*y**(3\/10))*((y\/(y*y\/(y**4\/y)))\/y)\/(y*y*y**(3\/7)))\/((y**(-3)*y*y)**50)**(2\/25) assuming y is positive.\nAnswer: y**(62\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 773 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*g + 83538. Let a = 640720\/23 - g. Let q = a + -2053\/368. Calculate the common denominator of q and 9\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b + 3*b + 12 - b**2. Let r(v) = 5*v + 174. Let t be r(-34). Let i be w(t). Sort i, 4, -5, -2 in increasing order.\nAnswer: -5, i, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1889777 - 478746 = -5*u, -4*u = 3*b - 1776393. Suppose b = 4*c - 4*y - 3203853, -4*c + 3796015 = 3*y. Round c to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - (268\/24)\/(9\/(-180)). Let d = -207 + j. What is the common denominator of -76\/3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/8, 5, -0.44, -1310?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31754, 63526, 95302, 127082, 158866?\nAnswer: 190654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 168541 - 0.5?\nAnswer: 168540.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 5:22 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 7*y**2 + 7*y - 2. Calculate the remainder when (27\/2)\/(6\/16) is divided by i(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1936 and 411998224?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*q - 93, -49 = -2*l - q - 4*q. Suppose -l*z = -21*z - 2. Let r = 0 - 0. Solve -2*u + 4 - z = r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29475955 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 + 99. Let j = o + -161. Put j, 0, 1, -2 in ascending order.\nAnswer: -2, 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -3*c - 5*u, 103 = 5*c - 4*u - 78. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 17226.\nAnswer: 1\/2871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*h, a - 5*h - 13 = 49. Calculate the remainder when 92 is divided by a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 0.4 (c) 2 (d) -143 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 13*p - 24 = 0. Let i be (5 + p\/((-6)\/14))*48. What is the greatest common factor of i and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.15 + 0.75. Let x = 4.4 + y. What is the nearest to -1\/3 in x, 0.4, 3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**3 - 13116*o**2 - 14335788*o = 0 for o.\nAnswer: -2186, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 118326675 divided by -5\nAnswer: -23665335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43800*f**5*n + 3*f**3*n + 4*f**3 - 3*f**2*n - 64*f**2 + 36*f*n + 43*n wrt f?\nAnswer: -2628000*f**2*n + 18*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 62*c**2 - 128*c - 748. Give b(-60).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28885 + -8?\nAnswer: -30004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(75)*6 + 0 + (-2*sqrt(108))**2.\nAnswer: 150*sqrt(3) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t + 149866 + 138211 - 94785 = 0. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3528494, 4, -7 in ascending order.\nAnswer: -3528494, -7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7*s**2 - 11*s + 17. Let k(m) = 3*m**2 - 5*m + 8. Let o(q) = -5*k(q) + 2*l(q). What is o(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7765f4 (base 16) to base 6\nAnswer: 435414152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*p - i + 39, 0 = 2*i + 8. Let h = p - -20. Let u = 31 - h. Calculate the lowest common multiple of u and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence feo when three letters picked without replacement from {e: 1, f: 7, o: 2, g: 2, n: 2, l: 2}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 215467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12786691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j - 4 + 9*j**3 - j + j**3 - j - 966*j**4 + 963*j**4 - j**2 to h*j**2 + i + l*j + w*j**3 + t*j**4 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 281\nAnswer: -8\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 = -14. Let z(i) = i - x + 0*i + 0*i. Let u be z(3). Which is the third biggest value? (a) 2 (b) u (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3139.519 millimeters?\nAnswer: 313.9519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4971.309 millilitres in litres?\nAnswer: 4.971309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97544 divided by 548.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v**2 + 66*v + 361. Let u be s(9). Solve u - 193 = 19*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001031018 to seven dps.\nAnswer: -0.0001031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 + 37*s**2 + 17*s + 41. Let c be w(19). Differentiate 3 - 3*b - 4 - b + 59 - c*b**2 wrt b.\nAnswer: -6*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 76*a**2 + 379*a + 8767. Give w(-40).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**7\/14 + 3*p**6\/10 + 3*p**5\/10 - p**4\/2 - 3*p**3\/2 - 3*p**2\/2 - 6*p + 9. Solve m(i) = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 182542*q. Let z(k) = 4*k**2. What is f(z(a))?\nAnswer: 730168*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 1007?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from {s: 2, d: 1, m: 10, n: 1, o: 4}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*d - 12. Let k = d - -6. Suppose 2*m = -2*m - 20. Sort m, k, 0 in ascending order.\nAnswer: m, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b**3 - 5*b - 1. Let r be l(11). Let w = r - 14713. Let h = w + 54563\/10. What is the common denominator of -121\/20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -16*d. Let o be 60 - -2 - 1*-2. Suppose -p + o - 22 = d. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 + -92. Which is the closest to -2? (a) -6 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8\/153 + 18\/17. What is the common denominator of d and 29\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -189*t + 36. Let r(f) = 4*f - 1. Give -36*r(o) - v(o).\nAnswer: 45*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 5. Let q = 149\/5 + -147\/5. What is the third smallest value in 3, -1.7, q, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*k - 208. Let t be ((-374)\/(-99) + 2\/9)*-22. Let p = t - k. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 - 3*l. Let n(z) = -3*z**3 - 6*z. Let y(s) = -5*i(s) + 3*n(s). Find the second derivative of y(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**4 - 370*q**3 + 21095*q**2 - 20720*q = 0 for q.\nAnswer: -112, 0, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 3:52 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 at most 308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2 - 363*c - 7200 = 0. Calculate c.\nAnswer: -96, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -385, -780, -1175?\n\"Answer: -395*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 169 + -161. Suppose l = t - 4*s, -3*t + 75*s + 8 = 79*s. What is the least common multiple of t and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(156)\/(sqrt(12)*3) + ((sqrt(78)*-1)\/sqrt(6))**2.\nAnswer: sqrt(13)\/3 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2539167447?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Let p(s) be the second derivative of -s**5\/20 + s**4\/3 + s**3\/2 - 5*s**2\/2 + 19*s. Give p(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 12 = -3*g, 8*i = 4*i + 5*g + 44. Solve -2 - 16 = i*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 12*q - 4. Let a be z(12). Which is smaller: -7 or a?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u**3 - u**2 + 11*u - 10. Let w(t) = -t**3 + t - 1. Calculate -22*w(j) + 2*x(j).\nAnswer: 38*j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 187, 104, -49, -296, -661, -1168?\nAnswer: -1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12, 62, 4, 0 in ascending order.\nAnswer: -3, 0, 4, 12, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 o when four letters picked without replacement from {e: 2, a: 1, o: 1, y: 4, h: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5445 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10617 + 31*d + 10617.\nAnswer: 31*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (272 - 188 + 205)*(n**4 - 2*n**4 + 2*n**4).\nAnswer: 289*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000203185044 to seven dps.\nAnswer: 0.0002032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0556522 years?\nAnswer: 0.00556522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 413197 less than 412607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3944, 3934, 3920, 3902?\nAnswer: 3880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*s + 17975, 3*u + 2*s = -4150 + 17640. Let v = u + -332961\/74. Calculate the common denominator of 103\/6 and v.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbmp when four letters picked without replacement from ppbqopbbamoabpq?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 57*o - 285*o + 15*o**2 + 70*o + 71*o + 27 + 71*o + o**3. Let v be (3 - -1)\/(1\/(-4)). Is s(v) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*a**5 + 2 + (-11*a - 57 + 57)*(2*a**4 + 2 - 2).\nAnswer: -20*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a hour in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**5\/60 + 5*u**4\/24 + 5*u**3\/6 - 15*u**2. Let s be l(-4). What is the units digit of s\/(4 - 3) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8550 and 18810.\nAnswer: 94050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125 - -82. Is 23 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 13*q**6\/120 - 13*q**4\/8 - 26*q**2. Find the second derivative of f(h) wrt h.\nAnswer: 78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t. Let h be i(-6). Let o(s) = -s**3 + 5*s**2 + 10*s - 9. Let u be o(6). Let k be u\/(-6)*(-12)\/15. Solve 2*y + 3 = -f, -3*y + k*f - 5 = -h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -11*s + 6. Let f = s - -5. Suppose f*u - 4*a - 332 = -u, 4*u = 5*a + 336. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 31 = 4*o + 21, 16 = 3*m + 5*o. Let r = m + -5. Calculate the least common multiple of r and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + r**2 + 1. Suppose -3*h + 24 = -5*k - 6*h, 2*h = -6. Let o(j) = 3 + 3*j**2 - 9*j**3 + 4*j**3 + 397*j - 396*j. What is k*f(z) + o(z)?\nAnswer: -2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 9:27 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/9 (b) 1611 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o. Suppose 4*g = r + 36, 2*r + 27 - 11 = g. Suppose 1 = -s + g. Let c(n) = -n - 7 + s. What is c(y(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 2*k - 6. Let g(h) = h**2 + 5*h - 23. Let v be g(4). Suppose 0 = -v*d + 12*d + 6. Calculate the remainder when l(5) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 477801707 and 7669.\nAnswer: 7669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 6, 5, 2\/191, -43\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1*-460.0451\nAnswer: 460.0451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.46? (a) 2 (b) -6 (c) -1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**7\/630 - i**6\/216 + i**5\/540 + i**4\/216 - 22*i**2. Factor z(f).\nAnswer: f*(f - 1)**2*(3*f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-28))\/(19 - ((-918)\/(-30) - 12))\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 353, 1149, 2395, 4097, 6261, 8893, 11999, 15585?\nAnswer: 19657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 10 + 1 + 27*z**2 - 20.\nAnswer: 27*z**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 9669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -481 + 441 - (-19 + 60)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4654 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 144470.5 rounded to the nearest one thousand?\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -274 - 194988?\nAnswer: -194bfc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -30*p**2. Let m(s) = -3*s**2. What is l(m(x))?\nAnswer: -270*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/35 and -107\/2238.\nAnswer: 78330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -641, -669, -717, -785?\n\"Answer: -10*b**2 + 2*b - 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*l + 33, -4*k + 73 = 5*l - 5*k. Suppose 4*h + l = 18. Which is the second biggest value? (a) h (b) -2 (c) 0.3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 59*s**2 + 15*s + 32. Determine m(-3).\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 321*i**2 - 39*i**3 - 3252 - 292*i**2 - 19 with respect to i.\nAnswer: -117*i**2 + 58*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5\/7 + 20*s**4\/7 + 891*s**3\/7 + 6910*s**2\/7 + 2200*s = 0. What is s?\nAnswer: -14, -5, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 12 - 5 - 1 + w**2 - 8 - 12*w. Let l be h(13). Let d = l - -4. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -a - 4. Which is smaller: a or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (-2)\/(12\/207). Let v = k - -33. Which is the smallest value? (a) 0.3 (b) v (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42522266 (base 7) in base 9?\nAnswer: 6725465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 38 = 4*g - 21 - 13, -5*r - 11 = -3*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -0.9. Let y = b + -0.6. Let g = 46 + -232\/5. What is the second smallest value in g, y, 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*n - 15 = 0, 25 = 2*w - n. Let q = -13 + w. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*((-5 - 2) + 2). Let h = 184.8 - 185. What is the closest to p in -0.4, 3, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130379 and 90352647?\nAnswer: 90352647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**4 + 1225040*c**2 - 3*c + 120897479 wrt c.\nAnswer: 12*c**3 + 2450080*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 380067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, g: 4, j: 1, e: 1, m: 9}. Give prob of picking 1 c, 1 m, and 2 g.\nAnswer: 27\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19608 and 912?\nAnswer: 39216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8333047 from 7.6677.\nAnswer: 8333054.6677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 75\/6 - (1 + 1\/(-2)). Solve 4*a + l = -4*f, a - f + 9 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 603, -4, -3, 8 in descending order.\nAnswer: 603, 8, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1432193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 3*b + 5. Let h be m(4). Put -3, h, -5, 0 in descending order.\nAnswer: h, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 280 = 4*y - 0*g, 0 = -2*y - 2*g + 152. Suppose -5*x + y = -2*x. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -30?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -535231000 (base 6) in base 10?\nAnswer: -9490824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n - n**3)*(-119 + 522 - 447 - 644 - 529).\nAnswer: 1217*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -49*m**2 + 7*m - 45. Let u be p(5). Let b(o) = -o**3 - 7*o**2 - 6*o - 10. What is the remainder when (1\/2*-4)\/(13\/u) is divided by b(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 - 10*s - 38*s + 27*s - 2.\nAnswer: -21*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**3 - 7155*l**2 + l + 8021?\nAnswer: 3*l**2 - 14310*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46254, 91391, 136530, 181671, 226814?\nAnswer: 271959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2062843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3136 = -2*u - 2*x, 0 = -5*u + 3*x + 15659. Calculate the smallest common multiple of u and 10.\nAnswer: 3130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 24 = -4*n, -n + 3*n + 4 = 3*r. Let v be 20 + 1 + r + (-39)\/13. Suppose v = -i + 9*i. Solve -5*g + 3 = -i*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29, -33, -25, 1, 51, 131?\n\"Answer: r**3 - 11*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 504\/(-1584)*(-4)\/(-7).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141 - 141. Suppose t = -15*r + 10*r + a + 8765, a - 3506 = -2*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -15. Suppose -20 = b*p + p. Let m = p - -2. Sort 2, -5, m in descending order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1104835659*k**3 + 2911588*k**2 - 21*k.\nAnswer: -6629013954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -120 - 72. Let h be -2 - (5044\/p)\/13. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.026737l to millilitres.\nAnswer: 2026.737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/5 + 1906527*f\/5 + 22878756\/5.\nAnswer: -3*(f - 635521)*(f + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 754172397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + 1. Suppose 3*q - 10 = q. Let l = q + 25. What is the greatest common factor of b and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45577052 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 421 (b) 4 (c) -0.4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5}. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 715 + -674. Suppose 0 = -z - 4*l + 26, c = 4*z - 32*l + 27*l. What is the remainder when (18\/4)\/((-2)\/(-8)) is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30971949 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q - 3*q + 5*q + (0 + 2 - 1 + (-1 + 6 - 3)*(3 + 0 - 5))*(q + 5*q - 2*q) in the form a + x*q and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110718?\nAnswer: 2, 3, 13, 19, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-63) + 402\/14 + 0. Does 3 divide b\/(2 + 2 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, z: 13}. Give prob of sequence ggz.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 - 97. Suppose -4*h + v + 53 = 0. What is the tens digit of 2766\/h + 6\/33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 less than 185?\nAnswer: 184.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x - 15. What is the remainder when 43 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -53*l**3 + 4*l**2 - 3*l + 8. Let g be c(3). Let y = g + 34888\/25. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 16*t + 4. Calculate r(17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 41*w - 1224 = 0. Calculate the greatest common factor of 117 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**2\/15 - 59636*i\/15 + 408086 = 0.\nAnswer: 103, 29715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-160)\/(-95))\/(2582\/(-24529))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -889939, -889877, -889817, -889759, -889703, -889649?\n\"Answer: -a**2 + 65*a - 890003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(27) - sqrt(189)\/sqrt(7)) + 2 + -4)**2*4 + 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1168 - -407. Let u = 11 + -8. Suppose u*a + 2*a - c = 0. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 978*k.\nAnswer: -3*k*(k - 326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -428*n**3 - 12*n**2 + 573*n**3 - 19 + 3*n**4 + 5*n**2 - 25 wrt n?\nAnswer: 72*n + 870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/25 of a kilogram?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = t + 249, 0 = -208*t + 212*t - m + 30 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4993 is divided by 4972.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1387025*x**3 - 1164167?\nAnswer: -4161075*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 409.09356 - 0.09356. What is the smallest value in -1\/4, 9, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71634, -141707, -211778, -281847, -351914, -421979?\nAnswer: -492042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154071.\nAnswer: 3, 17, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*j = 25*j + 141285. Round j to the nearest 100.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9 - -0.1. Let x = 3 - k. Let i be ((-15)\/2)\/(-3)*-2. Which is the second smallest value? (a) i (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3*(-1)\/216)\/(32\/(-3504)) and -69\/52.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1181998 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4426 is divided by 222?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 36*r**2 - r + 4. Let k(c) = c**2 + c + 1. Let t(g) = -2*k(g) + w(g). Calculate the remainder when t(1) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(2736) + 1) - (-2 + sqrt(2736)*1)) + -3)**2*6.\nAnswer: 144*sqrt(19) + 16422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 9*f**2 - 9*f - 8. Let i be c(-8). Suppose i = 4*u - 0*u - 72. What is the greatest common divisor of u and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4200519 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1 - (-3 - 0)) + 6 + -18.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1146)\/(-10) + (-5)\/((-25)\/(-3)). Calculate the highest common factor of w and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1262245*z + 18933687. Give u(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7602)\/2896)\/((-27)\/(-72))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -51. Suppose m*b - 21181 - 4306 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-40))\/(-1*(-2)\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 250\/(-550)*88\/540*-9\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 131110 (base 4) to base 8\nAnswer: 3524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y - 1 + 1)*(-5 + 5 - 2*y**2) + 7*y**3 - 2*y**3 + y**3)*(2 + y - 2).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 3*s**2 + 5*s. Let g be p(2). Let n(t) = 2*t - 27. Let q be n(g). Is 8 a factor of (-350)\/(-10)*(0 + q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**2)**(-2\/15))**(-44))**(-14\/3) assuming o is positive.\nAnswer: o**(-1232\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-48)*15\/(-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 182*h + 2505 - 2538 + h**2 + 182*h - 379*h. What is i(14)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/11, 4, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-one halves of a hour?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -198 + 5557\/28. Let u = -22355157 - -313140829\/14. Let r = u + -12038. Find the common denominator of h and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*f**2*m**2 + f**2*m*r + 40*f*m**2*r - 14*f*m + 6 wrt f?\nAnswer: 132*m**2 + 2*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 976 and 8052.\nAnswer: 32208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**8\/26880 + g**7\/10080 - 7*g**4\/6 - 10*g. Let j(h) be the third derivative of t(h). What is x in j(x) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(19) + 1) + -1.\nAnswer: -3*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 123400 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18442624561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -11*l**2 - 73*l - 437. Calculate o(-7).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/3927720 and -73\/7376.\nAnswer: 7855440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1184239 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.9 - -0.02437002925.\nAnswer: -31.87562997075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(2\/103))**(-4) assuming r is positive.\nAnswer: r**(-8\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1\/20)*g)*g)\/(g\/(g\/g**(1\/20)*g))*(g*g**11)\/(g**9*g) assuming g is positive.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264606203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35337 at most as big as 247368\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 2*v + 3*v)*(-5*v + v + 3*v) - 4*v**2 + 3*v**2 - v**2 + (0*v - v + 2*v)*(-v - v + 0*v) + (-4*v**2 + 5*v**2 + 0*v**2)*(1 - 2 + 3).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*a - 13 - 13, 0 = 4*d + 4*a - 56. Let r(o) = o**2 + 6*o + 5. Let j be r(-5). Suppose j = -d*c + 747 - 45. What are the prime factors of c?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4342*m**3 + 6*m**2 - 14*m + 55.\nAnswer: 26052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006627 to six dps.\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/9)\/w)**(-30))**1 assuming w is positive.\nAnswer: w**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50022?\nAnswer: 2, 3, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.1, 162522, 5\/21 in descending order.\nAnswer: 162522, 2, 5\/21, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1081352 divided by 18328?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(4)*-6)\/(-3*sqrt(28)\/sqrt(4)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v**(-1)*v))\/v*v))\/v**0*v**(6\/7)\/(v*v\/(v**3*v)))**44 assuming v is positive.\nAnswer: v**(880\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 50 + 74 = -2*x + 36, 3*f + 191 = 16*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 39 = -1. Let p(k) = k**3 + 3*k**2 - 10*k + 10. Let v be 0 + 4\/(-3) + 120\/36. Calculate the remainder when q is divided by p(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.7 + 18.03. Is y <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19793 (b) -1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.6819 decades in months?\nAnswer: 21081.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*a + 18*a - 96. Let j = -20 - a. Solve -j*r + 1 = -5*p - 2*r, -p + 9 = -5*r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1.1281 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19718 + -552045\/28. Calculate the common denominator of u and -109\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(171\/6) + 5*9976\/(-2755)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v**(-6)*(v**(1\/3))**(1\/5))\/(v**(3\/7)*v\/(v*((v**0\/v)\/v)\/v)*v**(-1)\/v*v**(-6)) assuming v is positive.\nAnswer: v**(-38\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64683401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*o**2 + 0*o**4 - 20*o**3 + 68*o - 4*o**4 - 18*o**2 - 64 + 16 = 0. What is o?\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s - 17986 = -53*s. Let c(y) = -44*y + 1053 - 524 + 0*y - s. Let d(n) = 8*n. Calculate c(d(o)).\nAnswer: -352*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n = 0. Suppose -z - z + 5*b - 4 = 0, n = 3*z - 5*b - 4. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 320 and 256.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 557 - 38. Suppose 0 = -i + u - 21. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30922388 by -2208742.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 5*n + 3. Let w be v(3). Is 8 a factor of 148\/w + (-2)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 8*n + 9. Suppose 0 = 5*q + 2*t + 15 + 75, 3*q = 5*t - 54. Let s be (-17 + -1)*(-16)\/12. Let d = s + q. Calculate b(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, t: 1, p: 3}. What is prob of picking 1 t and 1 p?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222390 = 4645*a - 68659 - 229191 for a.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/3)\/(-3*14\/315)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + 4*s)*(3 - 2*s**2 - 3)*(-52 - 56 + 77).\nAnswer: 124*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 751*i - 24271. Calculate n(-34).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 96072, -75.\nAnswer: -75, -1, 96072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 906 and 3462.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20367 + -10206. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.6 - 4.6. Put -1\/2, h, -0.1 in descending order.\nAnswer: -0.1, -1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*u + 4083 = 355*u - 2493 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1041 + -2325. Let s be (z\/36 + (-1 - -3))*-3. Let l = s + -92. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 + 674\/9. What is the common denominator of (-177)\/8*(-2)\/3 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 689760.\nAnswer: 6207840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -5, -199.5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/(121\/(-11)) - (1 + 4)) + (-198370)\/(-15770)?\nAnswer: 11\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 260, -1, -11, 9 in decreasing order.\nAnswer: 260, 9, 2, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 divided by -4?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37251439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-16))\/(3\/12). Let y be 11\/2*((-5040)\/176 + 29). Factor -3\/4*b - 1\/2 - n*b**y.\nAnswer: -(b + 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 5*h - 3*h)*(-5*h + 2*h + h + (4 - 2 + 1)*(0*h - h + 0*h) + (4 - 5 + 2)*(2*h + h + 3*h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q - f + 816, 0 = -3*q + 2*f - 491. Let i = 170 + q. Suppose s - 74 = -s - 4*b, -166 = -4*s + b. Calculate the remainder when s is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m + 5 = 4*w, -2*m = w - 4. Suppose 3*c - m = -x, 2*x + c = 4*c + 11. Solve l = -l + x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30, 0.04, 0.5, -0.3, 427?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 8*r**2 - 4*r - 9. Determine a(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 5*w**2 + 5*w. Let l be u(-6). Suppose 5*y = 2*y - l. Which is the second smallest value? (a) -0.3 (b) -3\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from {r: 6, p: 6, o: 1, h: 3, l: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*v - 2*v - 17*v - 4446 = 0 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 4617 + 3\/6*1 + (-6)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, -1, 47, 147, 317, 575, 939?\n\"Answer: 3*x**3 - x**2 - 4*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 0)*(1 - 2 + 3) + 2 - 2 - 3)*(3 - 2*v**3 - 3).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 914 - 100 + 1538 - 4*w + 5*w to the form g*w + q and give q.\nAnswer: 2352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 55610567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8205868 to the nearest integer?\nAnswer: 2865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1270*m + 6445 = 21448 + 96774 + 29193 for m.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 11*h - 15*h. Let i be 1 + h + 1 - 45\/(-55). Which is greater: i or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 j when three letters picked without replacement from lddldddlddljdj.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3438, -6757, -10076?\n\"Answer: -3319*m - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab32a (base 12) to base 11.\nAnswer: -145473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -382*p + 120. Let t be s(-5). Calculate the highest common divisor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*v - 16*v - 3 - 2*v**3 + 38*v - 8 to z*v + w*v**3 + d + b*v**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -29, 5 in descending order.\nAnswer: 5, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 564, 543, 502, 435, 336, 199, 18, -213?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14916?\nAnswer: 2, 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**8\/84 + 17*h**5\/120 + h**3 + 11*h. Let c(r) be the second derivative of v(r). Find the second derivative of c(t) wrt t.\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, d: 1, s: 3, o: 1, h: 1}. Give prob of sequence th.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/(-41 - (-21385)\/525)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-89440)\/(-39) - (-2)\/(-6))*1. Suppose -7*g + r + 9677 = 0. List the prime factors of g.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 37*u**2 + 209*u + 1. Let v be m(-7). Solve v*i - 9 = 11*i - 3*j, -2*i = 2*j + 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/4)\/k*k**(-5)\/k*k**(-1\/9)*k*k**(-3\/11))**6 assuming k is positive.\nAnswer: k**(-3023\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -3 (c) -886.7 (d) -16 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4 = 5*x, 55389*a - 110768*a + 8 = -55382*a + x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - b + 611, i - 3*i + 398 = 3*b. Suppose -3*z + 4*z - i = -5*s, 2*z - 130 = -3*s. Calculate the greatest common divisor of s and 680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 60.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, i: 3}. What is prob of picking 2 i and 2 b?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 12*s - 34. Let b be o(-8). What are the prime factors of (-1098)\/(-11) - 3*b\/33?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**5\/4 + 42*m**4 - 783*m**3\/4 - 24915*m**2\/2 + 13323*m + 74214 = 0. What is m?\nAnswer: -14, -2, 3, 31, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -8 - 2 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/7 + 1383*k**2\/7 + 383520*k\/7 - 68425984\/7.\nAnswer: (k - 121)*(k + 752)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 27 = -5*q - 2, -20 = -4*q - 3*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 16 = -7. Let d be 1\/(o*(-1)\/6). Let c = 20 + d. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-7 - (880\/(-56) + 7)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 465*-5\nAnswer: -2325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or -837?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 405776693 to the nearest integer?\nAnswer: 20144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -664*v**3 + 331*v**3 + 63*v**2 + 334*v**3 - 2*v in the form l*v + a*v**2 + k + h*v**3 and give a.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*-2*(-38 + 38).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {p: 3, b: 1, a: 10, g: 1, x: 4}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from {z: 2, f: 3, n: 1, l: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-28)\/(-42))\/((-1)\/3))\/((-384)\/(-2208)).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1810, -3620, -5428, -7234, -9038, -10840, -12640?\n\"Answer: p**2 - 1813*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}